1536830190.624 * [misc]progress: [Phase 1 of 3] Setting up. 1536830190.624 * * * [misc]progress: [1/2] Preparing points 1536830190.624 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1536830190.625 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1536830190.627 * * * * [misc]points: Setting MPFR precision to 64 1536830190.628 * * * * [misc]points: Setting MPFR precision to 320 1536830190.629 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1536830190.631 * * * * [misc]points: Setting MPFR precision to 64 1536830190.632 * * * * [misc]points: Setting MPFR precision to 320 1536830190.634 * * * * [misc]points: Setting MPFR precision to 576 1536830190.636 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1536830190.638 * * * * [misc]points: Setting MPFR precision to 320 1536830190.640 * * * * [misc]points: Setting MPFR precision to 576 1536830190.643 * * * * [misc]points: Setting MPFR precision to 832 1536830190.645 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1536830190.648 * * * * [misc]points: Setting MPFR precision to 576 1536830190.653 * * * * [misc]points: Setting MPFR precision to 832 1536830190.657 * * * * [misc]points: Computing exacts for 256 points 1536830190.660 * * * * [misc]points: Setting MPFR precision to 576 1536830190.682 * * * * [misc]points: Setting MPFR precision to 832 1536830190.697 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.711 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.727 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.727 * * * * [misc]points: Sampling 211 additional inputs, on iter 1 have 45 / 256 1536830190.728 * * * * [misc]points: Computing exacts on every 13 of 211 points to ramp up precision 1536830190.730 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.731 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.732 * * * * [misc]points: Computing exacts on every 6 of 211 points to ramp up precision 1536830190.734 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.736 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.737 * * * * [misc]points: Computing exacts on every 3 of 211 points to ramp up precision 1536830190.739 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.742 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.746 * * * * [misc]points: Computing exacts for 211 points 1536830190.748 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.760 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.781 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.781 * * * * [misc]points: Sampling 179 additional inputs, on iter 2 have 77 / 256 1536830190.783 * * * * [misc]points: Computing exacts on every 11 of 179 points to ramp up precision 1536830190.787 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.789 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.790 * * * * [misc]points: Computing exacts on every 5 of 179 points to ramp up precision 1536830190.794 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.798 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.802 * * * * [misc]points: Computing exacts on every 2 of 179 points to ramp up precision 1536830190.806 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.813 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.821 * * * * [misc]points: Computing exacts for 179 points 1536830190.825 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.862 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.873 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.873 * * * * [misc]points: Sampling 144 additional inputs, on iter 3 have 112 / 256 1536830190.874 * * * * [misc]points: Computing exacts on every 9 of 144 points to ramp up precision 1536830190.876 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.877 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.878 * * * * [misc]points: Computing exacts on every 4 of 144 points to ramp up precision 1536830190.880 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.882 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.884 * * * * [misc]points: Computing exacts on every 2 of 144 points to ramp up precision 1536830190.886 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.889 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.892 * * * * [misc]points: Computing exacts for 144 points 1536830190.894 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.903 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.911 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.912 * * * * [misc]points: Sampling 112 additional inputs, on iter 4 have 144 / 256 1536830190.912 * * * * [misc]points: Computing exacts on every 7 of 112 points to ramp up precision 1536830190.914 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.915 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.916 * * * * [misc]points: Computing exacts on every 3 of 112 points to ramp up precision 1536830190.918 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.920 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.922 * * * * [misc]points: Computing exacts for 112 points 1536830190.924 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.931 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.937 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.937 * * * * [misc]points: Sampling 92 additional inputs, on iter 5 have 164 / 256 1536830190.938 * * * * [misc]points: Computing exacts on every 5 of 92 points to ramp up precision 1536830190.940 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.941 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.942 * * * * [misc]points: Computing exacts on every 2 of 92 points to ramp up precision 1536830190.944 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.945 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.947 * * * * [misc]points: Computing exacts for 92 points 1536830190.949 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.954 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.981 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830190.981 * * * * [misc]points: Sampling 77 additional inputs, on iter 6 have 179 / 256 1536830190.981 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision 1536830190.984 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.985 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.986 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision 1536830190.988 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.990 * * * * [misc]points: Setting MPFR precision to 1344 1536830190.992 * * * * [misc]points: Computing exacts for 77 points 1536830190.994 * * * * [misc]points: Setting MPFR precision to 1088 1536830190.999 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.004 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.004 * * * * [misc]points: Sampling 60 additional inputs, on iter 7 have 196 / 256 1536830191.005 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision 1536830191.007 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.008 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.009 * * * * [misc]points: Computing exacts for 60 points 1536830191.011 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.015 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.019 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.019 * * * * [misc]points: Sampling 52 additional inputs, on iter 8 have 204 / 256 1536830191.019 * * * * [misc]points: Computing exacts on every 3 of 52 points to ramp up precision 1536830191.021 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.022 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.023 * * * * [misc]points: Computing exacts for 52 points 1536830191.025 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.028 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.031 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.031 * * * * [misc]points: Sampling 41 additional inputs, on iter 9 have 215 / 256 1536830191.032 * * * * [misc]points: Computing exacts on every 2 of 41 points to ramp up precision 1536830191.034 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.035 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.036 * * * * [misc]points: Computing exacts for 41 points 1536830191.038 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.040 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.043 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.043 * * * * [misc]points: Sampling 36 additional inputs, on iter 10 have 220 / 256 1536830191.043 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision 1536830191.045 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.046 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.047 * * * * [misc]points: Computing exacts for 36 points 1536830191.049 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.051 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.053 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.054 * * * * [misc]points: Sampling 27 additional inputs, on iter 11 have 229 / 256 1536830191.054 * * * * [misc]points: Computing exacts for 27 points 1536830191.056 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.058 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.059 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.059 * * * * [misc]points: Sampling 21 additional inputs, on iter 12 have 235 / 256 1536830191.060 * * * * [misc]points: Computing exacts for 21 points 1536830191.062 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.063 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.064 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.064 * * * * [misc]points: Sampling 17 additional inputs, on iter 13 have 239 / 256 1536830191.064 * * * * [misc]points: Computing exacts for 17 points 1536830191.066 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.067 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.068 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.068 * * * * [misc]points: Sampling 12 additional inputs, on iter 14 have 244 / 256 1536830191.069 * * * * [misc]points: Computing exacts for 12 points 1536830191.071 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.071 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.072 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.072 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1536830191.072 * * * * [misc]points: Computing exacts for 8 points 1536830191.074 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.091 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.092 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.092 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1536830191.092 * * * * [misc]points: Computing exacts for 7 points 1536830191.094 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.095 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.095 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.095 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1536830191.095 * * * * [misc]points: Computing exacts for 5 points 1536830191.097 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.098 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.098 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.098 * * * * [misc]points: Sampling 5 additional inputs, on iter 18 have 251 / 256 1536830191.098 * * * * [misc]points: Computing exacts for 5 points 1536830191.100 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.102 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.102 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.102 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1536830191.103 * * * * [misc]points: Computing exacts for 4 points 1536830191.105 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.105 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.105 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.105 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 252 / 256 1536830191.106 * * * * [misc]points: Computing exacts for 4 points 1536830191.108 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.108 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.108 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.108 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1536830191.108 * * * * [misc]points: Computing exacts for 4 points 1536830191.110 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.111 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.111 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.111 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 254 / 256 1536830191.111 * * * * [misc]points: Computing exacts for 4 points 1536830191.114 * * * * [misc]points: Setting MPFR precision to 1088 1536830191.114 * * * * [misc]points: Setting MPFR precision to 1344 1536830191.114 * * * * [misc]points: Filtering points with unrepresentable outputs 1536830191.114 * * * * [exit]points: Sampled 256 points with exact outputs 1536830191.115 * * * [misc]progress: [2/2] Setting up program. 1536830191.120 * [misc]progress: [Phase 2 of 3] Improving. 1536830191.120 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1536830191.121 * * [misc]simplify: iters left: 6 (13 enodes) 1536830191.125 * * [misc]simplify: iters left: 5 (28 enodes) 1536830191.131 * * [misc]simplify: iters left: 4 (44 enodes) 1536830191.139 * * [misc]simplify: iters left: 3 (54 enodes) 1536830191.145 * * [misc]simplify: iters left: 2 (57 enodes) 1536830191.152 * * [misc]simplify: iters left: 1 (65 enodes) 1536830191.168 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1536830191.179 * * [misc]progress: iteration 1 / 4 1536830191.179 * * * [misc]progress: picking best candidate 1536830191.192 * * * * [misc]pick: Picked # 1536830191.192 * * * [misc]progress: localizing error 1536830191.261 * * * [misc]progress: generating rewritten candidates 1536830191.261 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1536830191.297 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1536830191.342 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) 1536830191.357 * * * [misc]progress: generating series expansions 1536830191.357 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1536830191.357 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536830191.357 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536830191.357 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.357 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.357 * [misc]taylor: Taking taylor expansion of k in k 1536830191.357 * [misc]backup-simplify: Simplify 0 into 0 1536830191.357 * [misc]backup-simplify: Simplify 1 into 1 1536830191.357 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.357 * [misc]backup-simplify: Simplify 2 into 2 1536830191.357 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830191.357 * [misc]taylor: Taking taylor expansion of n in k 1536830191.357 * [misc]backup-simplify: Simplify n into n 1536830191.357 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.357 * [misc]backup-simplify: Simplify PI into PI 1536830191.357 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830191.358 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830191.358 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830191.358 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830191.358 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.358 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.358 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830191.359 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830191.359 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.359 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.359 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.359 * [misc]taylor: Taking taylor expansion of k in n 1536830191.359 * [misc]backup-simplify: Simplify k into k 1536830191.359 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.359 * [misc]backup-simplify: Simplify 2 into 2 1536830191.359 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.359 * [misc]taylor: Taking taylor expansion of n in n 1536830191.359 * [misc]backup-simplify: Simplify 0 into 0 1536830191.359 * [misc]backup-simplify: Simplify 1 into 1 1536830191.359 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.359 * [misc]backup-simplify: Simplify PI into PI 1536830191.359 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830191.359 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830191.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830191.360 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830191.360 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.361 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830191.361 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830191.361 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830191.361 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.362 * [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)))) 1536830191.362 * [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))))) 1536830191.362 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.362 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.362 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.362 * [misc]taylor: Taking taylor expansion of k in n 1536830191.362 * [misc]backup-simplify: Simplify k into k 1536830191.362 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.362 * [misc]backup-simplify: Simplify 2 into 2 1536830191.362 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.362 * [misc]taylor: Taking taylor expansion of n in n 1536830191.362 * [misc]backup-simplify: Simplify 0 into 0 1536830191.362 * [misc]backup-simplify: Simplify 1 into 1 1536830191.362 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.362 * [misc]backup-simplify: Simplify PI into PI 1536830191.363 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830191.363 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830191.363 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830191.364 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830191.364 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.364 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830191.364 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830191.364 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830191.365 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.365 * [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)))) 1536830191.365 * [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))))) 1536830191.369 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.369 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.369 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.369 * [misc]taylor: Taking taylor expansion of k in k 1536830191.369 * [misc]backup-simplify: Simplify 0 into 0 1536830191.369 * [misc]backup-simplify: Simplify 1 into 1 1536830191.369 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.369 * [misc]taylor: Taking taylor expansion of n in k 1536830191.369 * [misc]backup-simplify: Simplify n into n 1536830191.370 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.370 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830191.370 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830191.370 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.370 * [misc]backup-simplify: Simplify 2 into 2 1536830191.370 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.370 * [misc]backup-simplify: Simplify PI into PI 1536830191.370 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.371 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.371 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830191.371 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.371 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.371 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.372 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536830191.372 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830191.373 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830191.374 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830191.374 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830191.376 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.376 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536830191.377 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.377 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.377 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.378 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830191.379 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.379 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.379 * [misc]backup-simplify: Simplify 0 into 0 1536830191.379 * [misc]backup-simplify: Simplify 0 into 0 1536830191.379 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536830191.380 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830191.382 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.382 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.382 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830191.382 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.382 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.383 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536830191.384 * [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))))))) 1536830191.385 * [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))))))) 1536830191.386 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.387 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830191.391 * [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 1536830191.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536830191.392 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.392 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.393 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830191.394 * [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 1536830191.394 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.394 * [misc]backup-simplify: Simplify 0 into 0 1536830191.394 * [misc]backup-simplify: Simplify 0 into 0 1536830191.394 * [misc]backup-simplify: Simplify 0 into 0 1536830191.396 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536830191.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.400 * [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 1536830191.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.400 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830191.400 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.400 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.401 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830191.403 * [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))))) 1536830191.405 * [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))))) 1536830191.411 * [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))))) 1536830191.411 * [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)))) 1536830191.411 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536830191.411 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of k in k 1536830191.411 * [misc]backup-simplify: Simplify 0 into 0 1536830191.411 * [misc]backup-simplify: Simplify 1 into 1 1536830191.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.411 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830191.411 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.411 * [misc]backup-simplify: Simplify 2 into 2 1536830191.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830191.412 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.412 * [misc]backup-simplify: Simplify PI into PI 1536830191.412 * [misc]taylor: Taking taylor expansion of n in k 1536830191.412 * [misc]backup-simplify: Simplify n into n 1536830191.412 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830191.412 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830191.412 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830191.412 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.412 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.412 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.412 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830191.413 * [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)))) 1536830191.413 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.413 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.413 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.413 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of k in n 1536830191.413 * [misc]backup-simplify: Simplify k into k 1536830191.413 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.413 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.413 * [misc]backup-simplify: Simplify 2 into 2 1536830191.413 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.413 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.413 * [misc]backup-simplify: Simplify PI into PI 1536830191.413 * [misc]taylor: Taking taylor expansion of n in n 1536830191.413 * [misc]backup-simplify: Simplify 0 into 0 1536830191.413 * [misc]backup-simplify: Simplify 1 into 1 1536830191.413 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.414 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.414 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.414 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.414 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830191.414 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830191.415 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.415 * [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))) 1536830191.416 * [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)))) 1536830191.416 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.416 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.416 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of k in n 1536830191.416 * [misc]backup-simplify: Simplify k into k 1536830191.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.416 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.416 * [misc]backup-simplify: Simplify 2 into 2 1536830191.416 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.416 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.416 * [misc]backup-simplify: Simplify PI into PI 1536830191.416 * [misc]taylor: Taking taylor expansion of n in n 1536830191.416 * [misc]backup-simplify: Simplify 0 into 0 1536830191.416 * [misc]backup-simplify: Simplify 1 into 1 1536830191.416 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.416 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.417 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.417 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830191.417 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830191.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.418 * [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))) 1536830191.418 * [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)))) 1536830191.418 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536830191.418 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536830191.418 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830191.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.418 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.419 * [misc]taylor: Taking taylor expansion of k in k 1536830191.419 * [misc]backup-simplify: Simplify 0 into 0 1536830191.419 * [misc]backup-simplify: Simplify 1 into 1 1536830191.419 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.419 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536830191.419 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830191.419 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830191.419 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.419 * [misc]backup-simplify: Simplify 2 into 2 1536830191.419 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.419 * [misc]backup-simplify: Simplify PI into PI 1536830191.419 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.419 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.419 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.419 * [misc]taylor: Taking taylor expansion of n in k 1536830191.419 * [misc]backup-simplify: Simplify n into n 1536830191.419 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.420 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.420 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.420 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.420 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830191.420 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536830191.421 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536830191.421 * [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)))) 1536830191.421 * [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)))) 1536830191.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.423 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830191.425 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.425 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830191.425 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.425 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.426 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830191.427 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.427 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.427 * [misc]backup-simplify: Simplify 0 into 0 1536830191.427 * [misc]backup-simplify: Simplify 0 into 0 1536830191.427 * [misc]backup-simplify: Simplify 0 into 0 1536830191.428 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.429 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.432 * [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 1536830191.432 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.433 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830191.433 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.433 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.434 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536830191.435 * [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 1536830191.436 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.436 * [misc]backup-simplify: Simplify 0 into 0 1536830191.436 * [misc]backup-simplify: Simplify 0 into 0 1536830191.436 * [misc]backup-simplify: Simplify 0 into 0 1536830191.436 * [misc]backup-simplify: Simplify 0 into 0 1536830191.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.438 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.443 * [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 1536830191.443 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.444 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830191.444 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.444 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.445 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.445 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536830191.447 * [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 1536830191.447 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.447 * [misc]backup-simplify: Simplify 0 into 0 1536830191.447 * [misc]backup-simplify: Simplify 0 into 0 1536830191.448 * [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))))) 1536830191.448 * [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)) 1536830191.448 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536830191.448 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830191.448 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830191.448 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830191.448 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830191.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.449 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.449 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.449 * [misc]taylor: Taking taylor expansion of k in k 1536830191.449 * [misc]backup-simplify: Simplify 0 into 0 1536830191.449 * [misc]backup-simplify: Simplify 1 into 1 1536830191.449 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.449 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.449 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.449 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830191.449 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830191.449 * [misc]taylor: Taking taylor expansion of -2 in k 1536830191.449 * [misc]backup-simplify: Simplify -2 into -2 1536830191.449 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830191.449 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.449 * [misc]backup-simplify: Simplify PI into PI 1536830191.449 * [misc]taylor: Taking taylor expansion of n in k 1536830191.449 * [misc]backup-simplify: Simplify n into n 1536830191.449 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830191.449 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830191.449 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830191.449 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.449 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.450 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830191.450 * [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))) 1536830191.450 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.450 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of k in n 1536830191.450 * [misc]backup-simplify: Simplify k into k 1536830191.450 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.450 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.450 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.450 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.450 * [misc]backup-simplify: Simplify -2 into -2 1536830191.450 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.450 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.450 * [misc]backup-simplify: Simplify PI into PI 1536830191.450 * [misc]taylor: Taking taylor expansion of n in n 1536830191.450 * [misc]backup-simplify: Simplify 0 into 0 1536830191.450 * [misc]backup-simplify: Simplify 1 into 1 1536830191.450 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.451 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.451 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.451 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.451 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830191.452 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.452 * [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))) 1536830191.452 * [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)))) 1536830191.452 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.453 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of k in n 1536830191.453 * [misc]backup-simplify: Simplify k into k 1536830191.453 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.453 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.453 * [misc]backup-simplify: Simplify -2 into -2 1536830191.453 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.453 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.453 * [misc]backup-simplify: Simplify PI into PI 1536830191.453 * [misc]taylor: Taking taylor expansion of n in n 1536830191.453 * [misc]backup-simplify: Simplify 0 into 0 1536830191.453 * [misc]backup-simplify: Simplify 1 into 1 1536830191.453 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.453 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.454 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.454 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.454 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830191.454 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.455 * [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))) 1536830191.455 * [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)))) 1536830191.455 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536830191.455 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536830191.455 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830191.455 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.455 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.455 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.455 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.455 * [misc]taylor: Taking taylor expansion of k in k 1536830191.455 * [misc]backup-simplify: Simplify 0 into 0 1536830191.455 * [misc]backup-simplify: Simplify 1 into 1 1536830191.456 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.456 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.456 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536830191.456 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536830191.456 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536830191.456 * [misc]taylor: Taking taylor expansion of -2 in k 1536830191.456 * [misc]backup-simplify: Simplify -2 into -2 1536830191.456 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.456 * [misc]backup-simplify: Simplify PI into PI 1536830191.456 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.456 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.456 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.456 * [misc]taylor: Taking taylor expansion of n in k 1536830191.456 * [misc]backup-simplify: Simplify n into n 1536830191.456 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.456 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.457 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.457 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830191.457 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536830191.457 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536830191.458 * [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)))) 1536830191.458 * [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)))) 1536830191.459 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.459 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830191.461 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830191.462 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.462 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830191.462 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.462 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.463 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536830191.464 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.464 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.464 * [misc]backup-simplify: Simplify 0 into 0 1536830191.464 * [misc]backup-simplify: Simplify 0 into 0 1536830191.464 * [misc]backup-simplify: Simplify 0 into 0 1536830191.467 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.468 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.472 * [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 1536830191.472 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.472 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830191.472 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.472 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.473 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536830191.475 * [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 1536830191.475 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.475 * [misc]backup-simplify: Simplify 0 into 0 1536830191.475 * [misc]backup-simplify: Simplify 0 into 0 1536830191.475 * [misc]backup-simplify: Simplify 0 into 0 1536830191.475 * [misc]backup-simplify: Simplify 0 into 0 1536830191.476 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.477 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.482 * [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 1536830191.482 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.483 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830191.483 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.483 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.484 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536830191.486 * [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 1536830191.486 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.486 * [misc]backup-simplify: Simplify 0 into 0 1536830191.486 * [misc]backup-simplify: Simplify 0 into 0 1536830191.487 * [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))))) 1536830191.487 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1536830191.488 * [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)))) 1536830191.488 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1536830191.488 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830191.488 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830191.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.488 * [misc]taylor: Taking taylor expansion of k in k 1536830191.488 * [misc]backup-simplify: Simplify 0 into 0 1536830191.488 * [misc]backup-simplify: Simplify 1 into 1 1536830191.488 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.488 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.488 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830191.488 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830191.488 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830191.488 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.489 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.489 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.489 * [misc]taylor: Taking taylor expansion of k in k 1536830191.489 * [misc]backup-simplify: Simplify 0 into 0 1536830191.489 * [misc]backup-simplify: Simplify 1 into 1 1536830191.489 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.489 * [misc]backup-simplify: Simplify 2 into 2 1536830191.489 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830191.489 * [misc]taylor: Taking taylor expansion of n in k 1536830191.489 * [misc]backup-simplify: Simplify n into n 1536830191.489 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.489 * [misc]backup-simplify: Simplify PI into PI 1536830191.489 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830191.489 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830191.489 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830191.489 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830191.489 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.489 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.489 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830191.490 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830191.490 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of k in n 1536830191.490 * [misc]backup-simplify: Simplify k into k 1536830191.490 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.490 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830191.490 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830191.490 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.490 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.490 * [misc]taylor: Taking taylor expansion of k in n 1536830191.490 * [misc]backup-simplify: Simplify k into k 1536830191.490 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.490 * [misc]backup-simplify: Simplify 2 into 2 1536830191.490 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.490 * [misc]taylor: Taking taylor expansion of n in n 1536830191.490 * [misc]backup-simplify: Simplify 0 into 0 1536830191.490 * [misc]backup-simplify: Simplify 1 into 1 1536830191.490 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.490 * [misc]backup-simplify: Simplify PI into PI 1536830191.490 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830191.491 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830191.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830191.491 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830191.492 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.492 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830191.492 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830191.492 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830191.492 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.493 * [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)))) 1536830191.493 * [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))))) 1536830191.493 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830191.493 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830191.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.493 * [misc]taylor: Taking taylor expansion of k in n 1536830191.493 * [misc]backup-simplify: Simplify k into k 1536830191.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.493 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830191.494 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.494 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830191.494 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.494 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.494 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.494 * [misc]taylor: Taking taylor expansion of k in n 1536830191.494 * [misc]backup-simplify: Simplify k into k 1536830191.494 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.494 * [misc]backup-simplify: Simplify 2 into 2 1536830191.494 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.494 * [misc]taylor: Taking taylor expansion of n in n 1536830191.494 * [misc]backup-simplify: Simplify 0 into 0 1536830191.494 * [misc]backup-simplify: Simplify 1 into 1 1536830191.494 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.494 * [misc]backup-simplify: Simplify PI into PI 1536830191.494 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830191.494 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830191.495 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830191.495 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830191.495 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.496 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830191.496 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830191.496 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830191.496 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.497 * [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)))) 1536830191.497 * [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))))) 1536830191.498 * [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))) 1536830191.498 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.498 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.498 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.498 * [misc]taylor: Taking taylor expansion of k in k 1536830191.498 * [misc]backup-simplify: Simplify 0 into 0 1536830191.498 * [misc]backup-simplify: Simplify 1 into 1 1536830191.498 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of n in k 1536830191.498 * [misc]backup-simplify: Simplify n into n 1536830191.498 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.498 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830191.498 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.498 * [misc]backup-simplify: Simplify 2 into 2 1536830191.498 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.498 * [misc]backup-simplify: Simplify PI into PI 1536830191.498 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.499 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.499 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830191.499 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.499 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.499 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.500 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536830191.500 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830191.500 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830191.500 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.500 * [misc]taylor: Taking taylor expansion of k in k 1536830191.500 * [misc]backup-simplify: Simplify 0 into 0 1536830191.500 * [misc]backup-simplify: Simplify 1 into 1 1536830191.500 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.501 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.501 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830191.501 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1536830191.501 * [misc]backup-simplify: Simplify 0 into 0 1536830191.502 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830191.503 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830191.505 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.505 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536830191.505 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.505 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.506 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830191.507 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.507 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1536830191.507 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.508 * [misc]backup-simplify: Simplify 0 into 0 1536830191.508 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536830191.509 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830191.510 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.511 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830191.511 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.511 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536830191.513 * [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))))))) 1536830191.514 * [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))))))) 1536830191.514 * [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))))))) 1536830191.516 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.516 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830191.520 * [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 1536830191.520 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536830191.520 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.521 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.521 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.522 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830191.523 * [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 1536830191.523 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.524 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1536830191.525 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1536830191.525 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.525 * [misc]backup-simplify: Simplify 0 into 0 1536830191.525 * [misc]backup-simplify: Simplify 0 into 0 1536830191.525 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830191.525 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830191.527 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536830191.528 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.531 * [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 1536830191.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.531 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830191.531 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.531 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.532 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830191.534 * [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))))) 1536830191.538 * [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)))))))) 1536830191.540 * [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)))))))) 1536830191.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830191.543 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536830191.549 * [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 1536830191.549 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1536830191.549 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.549 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.550 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830191.551 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1536830191.553 * [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 1536830191.553 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.553 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1536830191.554 * [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 1536830191.554 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.554 * [misc]backup-simplify: Simplify 0 into 0 1536830191.554 * [misc]backup-simplify: Simplify 0 into 0 1536830191.554 * [misc]backup-simplify: Simplify 0 into 0 1536830191.554 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.555 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830191.560 * [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 1536830191.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.572 * [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 1536830191.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.572 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536830191.572 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.573 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1536830191.581 * [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))))))) 1536830191.600 * [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)))))))))))))) 1536830191.613 * [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)))))))))))))) 1536830191.632 * [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)))))))))))))))))))))) 1536830191.633 * [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))))) 1536830191.633 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1536830191.633 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830191.633 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830191.633 * [misc]taylor: Taking taylor expansion of k in k 1536830191.633 * [misc]backup-simplify: Simplify 0 into 0 1536830191.633 * [misc]backup-simplify: Simplify 1 into 1 1536830191.633 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.634 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830191.634 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.634 * [misc]taylor: Taking taylor expansion of k in k 1536830191.634 * [misc]backup-simplify: Simplify 0 into 0 1536830191.634 * [misc]backup-simplify: Simplify 1 into 1 1536830191.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.634 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830191.635 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830191.635 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.635 * [misc]backup-simplify: Simplify 2 into 2 1536830191.635 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830191.635 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.635 * [misc]backup-simplify: Simplify PI into PI 1536830191.635 * [misc]taylor: Taking taylor expansion of n in k 1536830191.635 * [misc]backup-simplify: Simplify n into n 1536830191.635 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830191.635 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830191.635 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830191.635 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.636 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.636 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.636 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830191.636 * [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)))) 1536830191.636 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830191.636 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830191.636 * [misc]taylor: Taking taylor expansion of k in n 1536830191.636 * [misc]backup-simplify: Simplify k into k 1536830191.636 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830191.637 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830191.637 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.637 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.637 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.637 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of k in n 1536830191.637 * [misc]backup-simplify: Simplify k into k 1536830191.637 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.637 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.637 * [misc]backup-simplify: Simplify 2 into 2 1536830191.637 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.637 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.637 * [misc]backup-simplify: Simplify PI into PI 1536830191.637 * [misc]taylor: Taking taylor expansion of n in n 1536830191.637 * [misc]backup-simplify: Simplify 0 into 0 1536830191.637 * [misc]backup-simplify: Simplify 1 into 1 1536830191.638 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.638 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.638 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.639 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.639 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830191.639 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830191.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.640 * [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))) 1536830191.641 * [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)))) 1536830191.641 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830191.641 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830191.641 * [misc]taylor: Taking taylor expansion of k in n 1536830191.641 * [misc]backup-simplify: Simplify k into k 1536830191.641 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830191.642 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830191.642 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of k in n 1536830191.642 * [misc]backup-simplify: Simplify k into k 1536830191.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.642 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.642 * [misc]backup-simplify: Simplify 2 into 2 1536830191.642 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.642 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.642 * [misc]backup-simplify: Simplify PI into PI 1536830191.642 * [misc]taylor: Taking taylor expansion of n in n 1536830191.642 * [misc]backup-simplify: Simplify 0 into 0 1536830191.642 * [misc]backup-simplify: Simplify 1 into 1 1536830191.643 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.643 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.643 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.643 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.643 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830191.644 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830191.644 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.644 * [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))) 1536830191.645 * [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)))) 1536830191.645 * [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)) 1536830191.646 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.646 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.646 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.646 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of k in k 1536830191.646 * [misc]backup-simplify: Simplify 0 into 0 1536830191.646 * [misc]backup-simplify: Simplify 1 into 1 1536830191.646 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.646 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830191.646 * [misc]taylor: Taking taylor expansion of 2 in k 1536830191.646 * [misc]backup-simplify: Simplify 2 into 2 1536830191.646 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.646 * [misc]backup-simplify: Simplify PI into PI 1536830191.646 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.647 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830191.647 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.647 * [misc]taylor: Taking taylor expansion of n in k 1536830191.647 * [misc]backup-simplify: Simplify n into n 1536830191.647 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.647 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.647 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830191.647 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830191.647 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830191.647 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536830191.648 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536830191.648 * [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)))) 1536830191.648 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830191.648 * [misc]taylor: Taking taylor expansion of k in k 1536830191.648 * [misc]backup-simplify: Simplify 0 into 0 1536830191.648 * [misc]backup-simplify: Simplify 1 into 1 1536830191.648 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.649 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830191.649 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1536830191.649 * [misc]backup-simplify: Simplify 0 into 0 1536830191.650 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.650 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830191.652 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830191.652 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.653 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830191.653 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.653 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.654 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830191.655 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.655 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536830191.655 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.655 * [misc]backup-simplify: Simplify 0 into 0 1536830191.655 * [misc]backup-simplify: Simplify 0 into 0 1536830191.656 * [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)))))) 1536830191.657 * [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)))))) 1536830191.657 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.662 * [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 1536830191.662 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.662 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830191.662 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.662 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.663 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.663 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536830191.665 * [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 1536830191.665 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1536830191.666 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536830191.666 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.666 * [misc]backup-simplify: Simplify 0 into 0 1536830191.666 * [misc]backup-simplify: Simplify 0 into 0 1536830191.666 * [misc]backup-simplify: Simplify 0 into 0 1536830191.667 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830191.667 * [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)))))) 1536830191.668 * [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)))))) 1536830191.669 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.670 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.676 * [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 1536830191.676 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.676 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830191.676 * [misc]backup-simplify: Simplify (- 0) into 0 1536830191.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.677 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830191.678 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536830191.682 * [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 1536830191.682 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1536830191.683 * [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 1536830191.683 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.683 * [misc]backup-simplify: Simplify 0 into 0 1536830191.683 * [misc]backup-simplify: Simplify 0 into 0 1536830191.683 * [misc]backup-simplify: Simplify 0 into 0 1536830191.683 * [misc]backup-simplify: Simplify 0 into 0 1536830191.684 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830191.685 * [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)))))) 1536830191.685 * [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)))))) 1536830191.687 * [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)))))))) 1536830191.688 * [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))) 1536830191.688 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1536830191.688 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.688 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of k in k 1536830191.688 * [misc]backup-simplify: Simplify 0 into 0 1536830191.688 * [misc]backup-simplify: Simplify 1 into 1 1536830191.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.688 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of -2 in k 1536830191.688 * [misc]backup-simplify: Simplify -2 into -2 1536830191.688 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830191.688 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.688 * [misc]backup-simplify: Simplify PI into PI 1536830191.688 * [misc]taylor: Taking taylor expansion of n in k 1536830191.688 * [misc]backup-simplify: Simplify n into n 1536830191.688 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830191.688 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830191.689 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830191.689 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.689 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.689 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830191.689 * [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))) 1536830191.689 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830191.689 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830191.689 * [misc]taylor: Taking taylor expansion of -1 in k 1536830191.689 * [misc]backup-simplify: Simplify -1 into -1 1536830191.689 * [misc]taylor: Taking taylor expansion of k in k 1536830191.689 * [misc]backup-simplify: Simplify 0 into 0 1536830191.689 * [misc]backup-simplify: Simplify 1 into 1 1536830191.689 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830191.689 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.690 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830191.690 * [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)))) 1536830191.690 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of k in n 1536830191.690 * [misc]backup-simplify: Simplify k into k 1536830191.690 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.690 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.690 * [misc]backup-simplify: Simplify -2 into -2 1536830191.690 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.690 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.690 * [misc]backup-simplify: Simplify PI into PI 1536830191.690 * [misc]taylor: Taking taylor expansion of n in n 1536830191.690 * [misc]backup-simplify: Simplify 0 into 0 1536830191.690 * [misc]backup-simplify: Simplify 1 into 1 1536830191.691 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.691 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.691 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.691 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830191.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.692 * [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))) 1536830191.693 * [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)))) 1536830191.693 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830191.693 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830191.693 * [misc]taylor: Taking taylor expansion of -1 in n 1536830191.693 * [misc]backup-simplify: Simplify -1 into -1 1536830191.693 * [misc]taylor: Taking taylor expansion of k in n 1536830191.693 * [misc]backup-simplify: Simplify k into k 1536830191.693 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830191.693 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830191.693 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830191.693 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830191.694 * [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))) 1536830191.694 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.694 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of k in n 1536830191.694 * [misc]backup-simplify: Simplify k into k 1536830191.694 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830191.694 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830191.694 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.694 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.694 * [misc]backup-simplify: Simplify -2 into -2 1536830191.694 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.694 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.694 * [misc]backup-simplify: Simplify PI into PI 1536830191.694 * [misc]taylor: Taking taylor expansion of n in n 1536830191.694 * [misc]backup-simplify: Simplify 0 into 0 1536830191.694 * [misc]backup-simplify: Simplify 1 into 1 1536830191.694 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.694 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.695 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.695 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830191.695 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830191.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.696 * [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))) 1536830191.696 * [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)))) 1536830191.696 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830191.696 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830191.696 * [misc]taylor: Taking taylor expansion of -1 in n 1536830191.696 * [misc]backup-simplify: Simplify -1 into -1 1536830191.696 * [misc]taylor: Taking taylor expansion of k in n 1536830191.696 * [misc]backup-simplify: Simplify k into k 1536830191.696 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830191.696 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830191.696 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830191.697 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830191.697 * [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))) 1536830191.697 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.697 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of k in k 1536830191.697 * [misc]backup-simplify: Simplify 0 into 0 1536830191.697 * [misc]backup-simplify: Simplify 1 into 1 1536830191.697 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830191.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830191.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830191.697 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536830191.697 * [misc]taylor: Taking taylor expansion of -2 in k 1536830191.697 * [misc]backup-simplify: Simplify -2 into -2 1536830191.698 * [misc]taylor: Taking taylor expansion of PI in k 1536830191.698 * [misc]backup-simplify: Simplify PI into PI 1536830191.698 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.698 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830191.698 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830191.698 * [misc]taylor: Taking taylor expansion of n in k 1536830191.698 * [misc]backup-simplify: Simplify n into n 1536830191.698 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830191.698 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830191.698 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830191.698 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830191.699 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536830191.699 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536830191.700 * [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)))) 1536830191.700 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830191.700 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830191.700 * [misc]taylor: Taking taylor expansion of -1 in k 1536830191.700 * [misc]backup-simplify: Simplify -1 into -1 1536830191.700 * [misc]taylor: Taking taylor expansion of k in k 1536830191.700 * [misc]backup-simplify: Simplify 0 into 0 1536830191.700 * [misc]backup-simplify: Simplify 1 into 1 1536830191.700 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830191.700 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830191.700 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830191.701 * [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))))) 1536830191.701 * [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))))) 1536830191.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.702 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830191.704 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830191.704 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830191.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830191.705 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.705 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.706 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536830191.707 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830191.707 * [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 1536830191.707 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.707 * [misc]backup-simplify: Simplify 0 into 0 1536830191.707 * [misc]backup-simplify: Simplify 0 into 0 1536830191.708 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830191.708 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830191.709 * [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)))))) 1536830191.709 * [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)))))) 1536830191.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.711 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.714 * [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 1536830191.715 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.715 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830191.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830191.715 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830191.716 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536830191.717 * [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 1536830191.718 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830191.718 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1536830191.719 * [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 1536830191.719 * [misc]taylor: Taking taylor expansion of 0 in k 1536830191.719 * [misc]backup-simplify: Simplify 0 into 0 1536830191.719 * [misc]backup-simplify: Simplify 0 into 0 1536830191.719 * [misc]backup-simplify: Simplify 0 into 0 1536830191.719 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.720 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830191.721 * [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)))))) 1536830191.722 * [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)))))) 1536830191.723 * [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))))))))))) 1536830191.724 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) 1536830191.724 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536830191.724 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536830191.724 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.724 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.724 * [misc]backup-simplify: Simplify 2 into 2 1536830191.724 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.724 * [misc]taylor: Taking taylor expansion of n in n 1536830191.724 * [misc]backup-simplify: Simplify 0 into 0 1536830191.724 * [misc]backup-simplify: Simplify 1 into 1 1536830191.724 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.724 * [misc]backup-simplify: Simplify PI into PI 1536830191.724 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830191.724 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.724 * [misc]backup-simplify: Simplify 2 into 2 1536830191.724 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830191.724 * [misc]taylor: Taking taylor expansion of n in n 1536830191.724 * [misc]backup-simplify: Simplify 0 into 0 1536830191.724 * [misc]backup-simplify: Simplify 1 into 1 1536830191.724 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.724 * [misc]backup-simplify: Simplify PI into PI 1536830191.724 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830191.725 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830191.725 * [misc]backup-simplify: Simplify 0 into 0 1536830191.725 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830191.726 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830191.726 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.726 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830191.727 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830191.727 * [misc]backup-simplify: Simplify 0 into 0 1536830191.728 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830191.729 * [misc]backup-simplify: Simplify 0 into 0 1536830191.731 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830191.732 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536830191.732 * [misc]backup-simplify: Simplify 0 into 0 1536830191.734 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830191.736 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536830191.736 * [misc]backup-simplify: Simplify 0 into 0 1536830191.739 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830191.743 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536830191.743 * [misc]backup-simplify: Simplify 0 into 0 1536830191.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536830191.751 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536830191.751 * [misc]backup-simplify: Simplify 0 into 0 1536830191.752 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536830191.752 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536830191.752 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536830191.752 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.752 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.752 * [misc]backup-simplify: Simplify 2 into 2 1536830191.752 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.752 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.752 * [misc]backup-simplify: Simplify PI into PI 1536830191.752 * [misc]taylor: Taking taylor expansion of n in n 1536830191.752 * [misc]backup-simplify: Simplify 0 into 0 1536830191.752 * [misc]backup-simplify: Simplify 1 into 1 1536830191.753 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.753 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830191.753 * [misc]taylor: Taking taylor expansion of 2 in n 1536830191.753 * [misc]backup-simplify: Simplify 2 into 2 1536830191.753 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.753 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.753 * [misc]backup-simplify: Simplify PI into PI 1536830191.753 * [misc]taylor: Taking taylor expansion of n in n 1536830191.753 * [misc]backup-simplify: Simplify 0 into 0 1536830191.753 * [misc]backup-simplify: Simplify 1 into 1 1536830191.753 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.754 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.754 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830191.755 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.756 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830191.756 * [misc]backup-simplify: Simplify 0 into 0 1536830191.757 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.758 * [misc]backup-simplify: Simplify 0 into 0 1536830191.760 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.762 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.762 * [misc]backup-simplify: Simplify 0 into 0 1536830191.764 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.766 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830191.766 * [misc]backup-simplify: Simplify 0 into 0 1536830191.768 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830191.771 * [misc]backup-simplify: Simplify 0 into 0 1536830191.774 * [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 1536830191.777 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830191.777 * [misc]backup-simplify: Simplify 0 into 0 1536830191.778 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536830191.778 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536830191.778 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536830191.778 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.778 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.778 * [misc]backup-simplify: Simplify -2 into -2 1536830191.778 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.778 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.778 * [misc]backup-simplify: Simplify PI into PI 1536830191.778 * [misc]taylor: Taking taylor expansion of n in n 1536830191.778 * [misc]backup-simplify: Simplify 0 into 0 1536830191.778 * [misc]backup-simplify: Simplify 1 into 1 1536830191.779 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.779 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830191.779 * [misc]taylor: Taking taylor expansion of -2 in n 1536830191.779 * [misc]backup-simplify: Simplify -2 into -2 1536830191.779 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830191.779 * [misc]taylor: Taking taylor expansion of PI in n 1536830191.779 * [misc]backup-simplify: Simplify PI into PI 1536830191.779 * [misc]taylor: Taking taylor expansion of n in n 1536830191.779 * [misc]backup-simplify: Simplify 0 into 0 1536830191.779 * [misc]backup-simplify: Simplify 1 into 1 1536830191.779 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830191.780 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.780 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830191.781 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830191.782 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830191.782 * [misc]backup-simplify: Simplify 0 into 0 1536830191.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.784 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830191.784 * [misc]backup-simplify: Simplify 0 into 0 1536830191.786 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.788 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830191.788 * [misc]backup-simplify: Simplify 0 into 0 1536830191.790 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.794 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830191.794 * [misc]backup-simplify: Simplify 0 into 0 1536830191.796 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830191.799 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830191.799 * [misc]backup-simplify: Simplify 0 into 0 1536830191.801 * [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 1536830191.805 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830191.805 * [misc]backup-simplify: Simplify 0 into 0 1536830191.805 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536830191.805 * * * [misc]progress: simplifying candidates 1536830191.805 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1536830191.806 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1536830191.806 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1536830191.806 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536830191.807 * * [misc]simplify: iters left: 6 (11 enodes) 1536830191.813 * * [misc]simplify: iters left: 5 (21 enodes) 1536830191.824 * * [misc]simplify: iters left: 4 (47 enodes) 1536830191.847 * * [misc]simplify: iters left: 3 (113 enodes) 1536830191.897 * * [misc]simplify: iters left: 2 (328 enodes) 1536830192.368 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536830192.368 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1536830192.368 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1536830192.368 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1536830192.368 * [enter]simplify: Simplifying (* PI (* n 2)) 1536830192.369 * * [misc]simplify: iters left: 4 (5 enodes) 1536830192.372 * * [misc]simplify: iters left: 3 (9 enodes) 1536830192.376 * * [misc]simplify: iters left: 2 (15 enodes) 1536830192.381 * * [misc]simplify: iters left: 1 (17 enodes) 1536830192.387 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536830192.387 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1536830192.387 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1536830192.387 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830192.388 * * [misc]simplify: iters left: 5 (8 enodes) 1536830192.392 * * [misc]simplify: iters left: 4 (12 enodes) 1536830192.397 * * [misc]simplify: iters left: 3 (18 enodes) 1536830192.403 * * [misc]simplify: iters left: 2 (20 enodes) 1536830192.410 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830192.410 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1536830192.410 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1536830192.410 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536830192.411 * * [misc]simplify: iters left: 5 (6 enodes) 1536830192.413 * * [misc]simplify: iters left: 4 (8 enodes) 1536830192.416 * * [misc]simplify: iters left: 3 (11 enodes) 1536830192.420 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536830192.420 * [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))) 1536830192.420 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1536830192.420 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536830192.421 * * [misc]simplify: iters left: 5 (6 enodes) 1536830192.423 * * [misc]simplify: iters left: 4 (8 enodes) 1536830192.425 * * [misc]simplify: iters left: 3 (11 enodes) 1536830192.427 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536830192.427 * [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))) 1536830192.427 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1536830192.427 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536830192.427 * * [misc]simplify: iters left: 4 (5 enodes) 1536830192.428 * * [misc]simplify: iters left: 3 (7 enodes) 1536830192.430 * * [misc]simplify: iters left: 2 (10 enodes) 1536830192.431 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536830192.431 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1536830192.431 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1536830192.431 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830192.432 * * [misc]simplify: iters left: 5 (9 enodes) 1536830192.434 * * [misc]simplify: iters left: 4 (15 enodes) 1536830192.437 * * [misc]simplify: iters left: 3 (21 enodes) 1536830192.440 * * [misc]simplify: iters left: 2 (22 enodes) 1536830192.445 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830192.445 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1536830192.445 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1536830192.445 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830192.446 * * [misc]simplify: iters left: 5 (9 enodes) 1536830192.450 * * [misc]simplify: iters left: 4 (15 enodes) 1536830192.456 * * [misc]simplify: iters left: 3 (21 enodes) 1536830192.464 * * [misc]simplify: iters left: 2 (22 enodes) 1536830192.471 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830192.471 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1536830192.472 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1536830192.472 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536830192.472 * * [misc]simplify: iters left: 5 (7 enodes) 1536830192.475 * * [misc]simplify: iters left: 4 (9 enodes) 1536830192.479 * * [misc]simplify: iters left: 3 (12 enodes) 1536830192.483 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536830192.483 * [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))) 1536830192.483 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1536830192.483 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1536830192.484 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1536830192.485 * * [misc]simplify: iters left: 6 (14 enodes) 1536830192.492 * * [misc]simplify: iters left: 5 (27 enodes) 1536830192.507 * * [misc]simplify: iters left: 4 (55 enodes) 1536830192.526 * * [misc]simplify: iters left: 3 (144 enodes) 1536830192.681 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1536830192.681 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1536830192.681 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1536830192.681 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1536830192.682 * * [misc]simplify: iters left: 6 (14 enodes) 1536830192.685 * * [misc]simplify: iters left: 5 (27 enodes) 1536830192.692 * * [misc]simplify: iters left: 4 (55 enodes) 1536830192.711 * * [misc]simplify: iters left: 3 (144 enodes) 1536830192.822 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1536830192.822 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1536830192.822 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1536830192.823 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1536830192.823 * * [misc]simplify: iters left: 6 (14 enodes) 1536830192.827 * * [misc]simplify: iters left: 5 (24 enodes) 1536830192.833 * * [misc]simplify: iters left: 4 (43 enodes) 1536830192.842 * * [misc]simplify: iters left: 3 (73 enodes) 1536830192.875 * * [misc]simplify: iters left: 2 (220 enodes) 1536830193.152 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1536830193.152 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1536830193.152 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1536830193.153 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1536830193.153 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1536830193.153 * [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))) 1536830193.155 * * [misc]simplify: iters left: 6 (16 enodes) 1536830193.160 * * [misc]simplify: iters left: 5 (31 enodes) 1536830193.168 * * [misc]simplify: iters left: 4 (67 enodes) 1536830193.186 * * [misc]simplify: iters left: 3 (124 enodes) 1536830193.217 * * [misc]simplify: iters left: 2 (195 enodes) 1536830193.294 * * [misc]simplify: iters left: 1 (309 enodes) 1536830193.447 * [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)))) 1536830193.447 * [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)))))) 1536830193.447 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1536830193.447 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1536830193.447 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1536830193.447 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1536830193.447 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1536830193.447 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.448 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.451 * * [misc]simplify: iters left: 5 (19 enodes) 1536830193.456 * * [misc]simplify: iters left: 4 (25 enodes) 1536830193.460 * * [misc]simplify: iters left: 3 (26 enodes) 1536830193.464 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.464 * [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))))) 1536830193.465 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1536830193.465 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.468 * * [misc]simplify: iters left: 5 (18 enodes) 1536830193.471 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.475 * * [misc]simplify: iters left: 3 (25 enodes) 1536830193.479 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1536830193.479 * [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))))) 1536830193.479 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1536830193.479 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1536830193.480 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.482 * * [misc]simplify: iters left: 5 (16 enodes) 1536830193.485 * * [misc]simplify: iters left: 4 (22 enodes) 1536830193.489 * * [misc]simplify: iters left: 3 (24 enodes) 1536830193.493 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1536830193.493 * [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))))) 1536830193.493 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1536830193.494 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.496 * * [misc]simplify: iters left: 5 (18 enodes) 1536830193.500 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.503 * * [misc]simplify: iters left: 3 (25 enodes) 1536830193.507 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1536830193.507 * [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))))) 1536830193.508 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1536830193.508 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1536830193.508 * * [misc]simplify: iters left: 6 (9 enodes) 1536830193.510 * * [misc]simplify: iters left: 5 (16 enodes) 1536830193.514 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.519 * * [misc]simplify: iters left: 3 (26 enodes) 1536830193.528 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1536830193.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1536830193.528 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1536830193.529 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.534 * * [misc]simplify: iters left: 5 (17 enodes) 1536830193.541 * * [misc]simplify: iters left: 4 (23 enodes) 1536830193.548 * * [misc]simplify: iters left: 3 (24 enodes) 1536830193.556 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1536830193.556 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1536830193.556 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1536830193.556 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.557 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.563 * * [misc]simplify: iters left: 5 (19 enodes) 1536830193.570 * * [misc]simplify: iters left: 4 (25 enodes) 1536830193.578 * * [misc]simplify: iters left: 3 (26 enodes) 1536830193.587 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.587 * [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))))) 1536830193.587 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1536830193.588 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.594 * * [misc]simplify: iters left: 5 (18 enodes) 1536830193.600 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.608 * * [misc]simplify: iters left: 3 (25 enodes) 1536830193.616 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1536830193.616 * [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))))) 1536830193.616 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1536830193.616 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1536830193.617 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.619 * * [misc]simplify: iters left: 5 (16 enodes) 1536830193.622 * * [misc]simplify: iters left: 4 (22 enodes) 1536830193.626 * * [misc]simplify: iters left: 3 (24 enodes) 1536830193.630 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1536830193.630 * [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))))) 1536830193.630 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1536830193.631 * * [misc]simplify: iters left: 6 (12 enodes) 1536830193.635 * * [misc]simplify: iters left: 5 (18 enodes) 1536830193.638 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.642 * * [misc]simplify: iters left: 3 (25 enodes) 1536830193.646 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1536830193.646 * [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))))) 1536830193.646 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1536830193.646 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1536830193.647 * * [misc]simplify: iters left: 6 (9 enodes) 1536830193.649 * * [misc]simplify: iters left: 5 (16 enodes) 1536830193.653 * * [misc]simplify: iters left: 4 (24 enodes) 1536830193.656 * * [misc]simplify: iters left: 3 (26 enodes) 1536830193.659 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1536830193.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1536830193.660 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1536830193.660 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.663 * * [misc]simplify: iters left: 5 (17 enodes) 1536830193.666 * * [misc]simplify: iters left: 4 (23 enodes) 1536830193.670 * * [misc]simplify: iters left: 3 (24 enodes) 1536830193.674 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1536830193.674 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1536830193.674 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1536830193.674 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.675 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.678 * * [misc]simplify: iters left: 5 (15 enodes) 1536830193.684 * * [misc]simplify: iters left: 4 (18 enodes) 1536830193.690 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.690 * [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))))) 1536830193.691 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536830193.692 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.696 * * [misc]simplify: iters left: 5 (14 enodes) 1536830193.701 * * [misc]simplify: iters left: 4 (17 enodes) 1536830193.705 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536830193.705 * [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))))) 1536830193.705 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1536830193.705 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830193.706 * * [misc]simplify: iters left: 6 (10 enodes) 1536830193.707 * * [misc]simplify: iters left: 5 (12 enodes) 1536830193.710 * * [misc]simplify: iters left: 4 (15 enodes) 1536830193.712 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830193.712 * [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))))) 1536830193.712 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830193.714 * * [misc]simplify: iters left: 6 (11 enodes) 1536830193.716 * * [misc]simplify: iters left: 5 (14 enodes) 1536830193.718 * * [misc]simplify: iters left: 4 (17 enodes) 1536830193.721 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830193.721 * [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))))) 1536830193.721 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1536830193.722 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1536830193.722 * * [misc]simplify: iters left: 6 (9 enodes) 1536830193.724 * * [misc]simplify: iters left: 5 (13 enodes) 1536830193.727 * * [misc]simplify: iters left: 4 (18 enodes) 1536830193.729 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536830193.729 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1536830193.729 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1536830193.730 * * [misc]simplify: iters left: 6 (10 enodes) 1536830193.732 * * [misc]simplify: iters left: 5 (13 enodes) 1536830193.734 * * [misc]simplify: iters left: 4 (16 enodes) 1536830193.736 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1536830193.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1536830193.737 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1536830193.737 * [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)))) 1536830193.738 * * [misc]simplify: iters left: 6 (16 enodes) 1536830193.741 * * [misc]simplify: iters left: 5 (28 enodes) 1536830193.748 * * [misc]simplify: iters left: 4 (46 enodes) 1536830193.755 * * [misc]simplify: iters left: 3 (50 enodes) 1536830193.762 * * [misc]simplify: iters left: 2 (53 enodes) 1536830193.773 * [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)))) 1536830193.773 * [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))))) 1536830193.773 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536830193.774 * * [misc]simplify: iters left: 6 (14 enodes) 1536830193.776 * * [misc]simplify: iters left: 5 (20 enodes) 1536830193.782 * * [misc]simplify: iters left: 4 (29 enodes) 1536830193.786 * * [misc]simplify: iters left: 3 (30 enodes) 1536830193.791 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536830193.791 * [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))))) 1536830193.791 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1536830193.791 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1536830193.793 * * [misc]simplify: iters left: 6 (15 enodes) 1536830193.799 * * [misc]simplify: iters left: 5 (23 enodes) 1536830193.808 * * [misc]simplify: iters left: 4 (34 enodes) 1536830193.813 * * [misc]simplify: iters left: 3 (37 enodes) 1536830193.821 * [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)))))) 1536830193.821 * [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))))) 1536830193.821 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830193.822 * * [misc]simplify: iters left: 6 (14 enodes) 1536830193.824 * * [misc]simplify: iters left: 5 (20 enodes) 1536830193.829 * * [misc]simplify: iters left: 4 (29 enodes) 1536830193.833 * * [misc]simplify: iters left: 3 (30 enodes) 1536830193.839 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830193.839 * [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))))) 1536830193.839 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1536830193.839 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1536830193.840 * * [misc]simplify: iters left: 6 (14 enodes) 1536830193.847 * * [misc]simplify: iters left: 5 (24 enodes) 1536830193.859 * * [misc]simplify: iters left: 4 (39 enodes) 1536830193.872 * * [misc]simplify: iters left: 3 (54 enodes) 1536830193.882 * * [misc]simplify: iters left: 2 (80 enodes) 1536830193.894 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1536830193.894 * [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)))) 1536830193.894 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1536830193.895 * * [misc]simplify: iters left: 6 (13 enodes) 1536830193.898 * * [misc]simplify: iters left: 5 (19 enodes) 1536830193.902 * * [misc]simplify: iters left: 4 (28 enodes) 1536830193.907 * * [misc]simplify: iters left: 3 (30 enodes) 1536830193.912 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1536830193.912 * [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)))) 1536830193.912 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1536830193.913 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.914 * * [misc]simplify: iters left: 6 (15 enodes) 1536830193.917 * * [misc]simplify: iters left: 5 (23 enodes) 1536830193.922 * * [misc]simplify: iters left: 4 (32 enodes) 1536830193.927 * * [misc]simplify: iters left: 3 (34 enodes) 1536830193.935 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830193.935 * [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))))) 1536830193.935 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536830193.937 * * [misc]simplify: iters left: 6 (14 enodes) 1536830193.943 * * [misc]simplify: iters left: 5 (20 enodes) 1536830193.953 * * [misc]simplify: iters left: 4 (29 enodes) 1536830193.963 * * [misc]simplify: iters left: 3 (30 enodes) 1536830193.974 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536830193.974 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1536830193.974 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1536830193.974 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830193.976 * * [misc]simplify: iters left: 6 (14 enodes) 1536830193.982 * * [misc]simplify: iters left: 5 (20 enodes) 1536830193.990 * * [misc]simplify: iters left: 4 (29 enodes) 1536830193.999 * * [misc]simplify: iters left: 3 (30 enodes) 1536830194.004 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830194.004 * [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))))) 1536830194.005 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830194.005 * * [misc]simplify: iters left: 6 (14 enodes) 1536830194.008 * * [misc]simplify: iters left: 5 (20 enodes) 1536830194.012 * * [misc]simplify: iters left: 4 (29 enodes) 1536830194.018 * * [misc]simplify: iters left: 3 (30 enodes) 1536830194.023 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536830194.023 * [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))))) 1536830194.023 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1536830194.023 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1536830194.024 * * [misc]simplify: iters left: 6 (13 enodes) 1536830194.027 * * [misc]simplify: iters left: 5 (21 enodes) 1536830194.032 * * [misc]simplify: iters left: 4 (32 enodes) 1536830194.037 * * [misc]simplify: iters left: 3 (33 enodes) 1536830194.046 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1536830194.046 * [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)))) 1536830194.047 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1536830194.050 * * [misc]simplify: iters left: 6 (13 enodes) 1536830194.055 * * [misc]simplify: iters left: 5 (19 enodes) 1536830194.063 * * [misc]simplify: iters left: 4 (28 enodes) 1536830194.068 * * [misc]simplify: iters left: 3 (30 enodes) 1536830194.073 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1536830194.073 * [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)))) 1536830194.073 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1536830194.073 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536830194.073 * * [misc]simplify: iters left: 6 (6 enodes) 1536830194.074 * * [misc]simplify: iters left: 5 (10 enodes) 1536830194.076 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1536830194.076 * [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))))) 1536830194.076 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536830194.077 * * [misc]simplify: iters left: 6 (13 enodes) 1536830194.080 * * [misc]simplify: iters left: 5 (19 enodes) 1536830194.084 * * [misc]simplify: iters left: 4 (28 enodes) 1536830194.088 * * [misc]simplify: iters left: 3 (30 enodes) 1536830194.095 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536830194.095 * [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))))) 1536830194.095 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1536830194.095 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1536830194.096 * * [misc]simplify: iters left: 4 (5 enodes) 1536830194.097 * * [misc]simplify: iters left: 3 (7 enodes) 1536830194.100 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1536830194.100 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1536830194.100 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830194.101 * * [misc]simplify: iters left: 6 (13 enodes) 1536830194.106 * * [misc]simplify: iters left: 5 (19 enodes) 1536830194.114 * * [misc]simplify: iters left: 4 (28 enodes) 1536830194.123 * * [misc]simplify: iters left: 3 (30 enodes) 1536830194.133 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536830194.133 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1536830194.133 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1536830194.134 * [enter]simplify: Simplifying (/ 1 1) 1536830194.134 * * [misc]simplify: iters left: 2 (2 enodes) 1536830194.135 * * [misc]simplify: iters left: 1 (4 enodes) 1536830194.136 * [exit]simplify: Simplified to 1 1536830194.136 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1536830194.136 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1536830194.137 * * [misc]simplify: iters left: 6 (12 enodes) 1536830194.142 * * [misc]simplify: iters left: 5 (18 enodes) 1536830194.151 * * [misc]simplify: iters left: 4 (27 enodes) 1536830194.160 * * [misc]simplify: iters left: 3 (29 enodes) 1536830194.169 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1536830194.169 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1536830194.169 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1536830194.170 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1536830194.170 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1536830194.170 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1536830194.170 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1536830194.170 * * [misc]simplify: iters left: 2 (3 enodes) 1536830194.171 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1536830194.171 * [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)))) 1536830194.171 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1536830194.172 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536830194.172 * * [misc]simplify: iters left: 2 (3 enodes) 1536830194.173 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830194.173 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1536830194.173 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1536830194.173 * [enter]simplify: Simplifying (sqrt k) 1536830194.174 * * [misc]simplify: iters left: 1 (2 enodes) 1536830194.174 * [exit]simplify: Simplified to (sqrt k) 1536830194.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1536830194.174 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1536830194.175 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536830194.175 * * [misc]simplify: iters left: 5 (7 enodes) 1536830194.179 * * [misc]simplify: iters left: 4 (12 enodes) 1536830194.183 * * [misc]simplify: iters left: 3 (18 enodes) 1536830194.189 * * [misc]simplify: iters left: 2 (20 enodes) 1536830194.195 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536830194.195 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1536830194.195 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1536830194.196 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536830194.196 * * [misc]simplify: iters left: 5 (7 enodes) 1536830194.199 * * [misc]simplify: iters left: 4 (12 enodes) 1536830194.204 * * [misc]simplify: iters left: 3 (18 enodes) 1536830194.209 * * [misc]simplify: iters left: 2 (20 enodes) 1536830194.216 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536830194.216 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1536830194.216 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1536830194.216 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536830194.217 * * [misc]simplify: iters left: 5 (7 enodes) 1536830194.220 * * [misc]simplify: iters left: 4 (9 enodes) 1536830194.224 * * [misc]simplify: iters left: 3 (12 enodes) 1536830194.228 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536830194.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830194.228 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1536830194.228 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830194.229 * * [misc]simplify: iters left: 6 (12 enodes) 1536830194.234 * * [misc]simplify: iters left: 5 (18 enodes) 1536830194.243 * * [misc]simplify: iters left: 4 (27 enodes) 1536830194.249 * * [misc]simplify: iters left: 3 (29 enodes) 1536830194.254 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536830194.254 * [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))))))) 1536830194.255 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1536830194.255 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830194.255 * * [misc]simplify: iters left: 6 (11 enodes) 1536830194.258 * * [misc]simplify: iters left: 5 (17 enodes) 1536830194.261 * * [misc]simplify: iters left: 4 (26 enodes) 1536830194.267 * * [misc]simplify: iters left: 3 (27 enodes) 1536830194.271 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536830194.271 * [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))))))) 1536830194.271 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1536830194.271 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1536830194.271 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536830194.272 * * [misc]simplify: iters left: 5 (7 enodes) 1536830194.273 * * [misc]simplify: iters left: 4 (12 enodes) 1536830194.276 * * [misc]simplify: iters left: 3 (18 enodes) 1536830194.278 * * [misc]simplify: iters left: 2 (20 enodes) 1536830194.282 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536830194.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1536830194.282 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1536830194.282 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1536830194.282 * [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))))) 1536830194.285 * * [misc]simplify: iters left: 6 (37 enodes) 1536830194.308 * * [misc]simplify: iters left: 5 (108 enodes) 1536830194.372 * * [misc]simplify: iters left: 4 (368 enodes) 1536830195.018 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1536830195.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1536830195.018 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1536830195.018 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536830195.020 * * [misc]simplify: iters left: 6 (15 enodes) 1536830195.025 * * [misc]simplify: iters left: 5 (33 enodes) 1536830195.035 * * [misc]simplify: iters left: 4 (64 enodes) 1536830195.058 * * [misc]simplify: iters left: 3 (179 enodes) 1536830195.215 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1536830195.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1536830195.215 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1536830195.215 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536830195.216 * * [misc]simplify: iters left: 6 (15 enodes) 1536830195.221 * * [misc]simplify: iters left: 5 (30 enodes) 1536830195.231 * * [misc]simplify: iters left: 4 (65 enodes) 1536830195.258 * * [misc]simplify: iters left: 3 (208 enodes) 1536830195.540 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1536830195.540 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1536830195.540 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1536830195.540 * [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)))))))))))))))))))))) 1536830195.540 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830195.540 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1536830195.541 * [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)))))))) 1536830195.541 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830195.541 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1536830195.541 * [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))))))))))) 1536830195.541 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830195.541 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1536830195.542 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830195.542 * * [misc]simplify: iters left: 4 (5 enodes) 1536830195.548 * * [misc]simplify: iters left: 3 (9 enodes) 1536830195.552 * * [misc]simplify: iters left: 2 (15 enodes) 1536830195.557 * * [misc]simplify: iters left: 1 (17 enodes) 1536830195.563 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830195.563 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536830195.563 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1536830195.563 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830195.564 * * [misc]simplify: iters left: 4 (5 enodes) 1536830195.567 * * [misc]simplify: iters left: 3 (9 enodes) 1536830195.571 * * [misc]simplify: iters left: 2 (15 enodes) 1536830195.576 * * [misc]simplify: iters left: 1 (17 enodes) 1536830195.582 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830195.582 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536830195.582 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1536830195.582 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830195.583 * * [misc]simplify: iters left: 4 (5 enodes) 1536830195.585 * * [misc]simplify: iters left: 3 (9 enodes) 1536830195.589 * * [misc]simplify: iters left: 2 (15 enodes) 1536830195.594 * * [misc]simplify: iters left: 1 (17 enodes) 1536830195.600 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830195.600 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536830195.600 * * * [misc]progress: adding candidates to table 1536830197.233 * * [misc]progress: iteration 2 / 4 1536830197.233 * * * [misc]progress: picking best candidate 1536830197.343 * * * * [misc]pick: Picked # 1536830197.343 * * * [misc]progress: localizing error 1536830197.351 * * * [misc]progress: generating rewritten candidates 1536830197.351 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1536830197.377 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1536830197.436 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) 1536830197.451 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1536830197.506 * * * [misc]progress: generating series expansions 1536830197.506 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1536830197.506 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536830197.506 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536830197.506 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.506 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.506 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.506 * [misc]taylor: Taking taylor expansion of k in k 1536830197.506 * [misc]backup-simplify: Simplify 0 into 0 1536830197.506 * [misc]backup-simplify: Simplify 1 into 1 1536830197.506 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.506 * [misc]backup-simplify: Simplify 2 into 2 1536830197.506 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830197.506 * [misc]taylor: Taking taylor expansion of n in k 1536830197.506 * [misc]backup-simplify: Simplify n into n 1536830197.506 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.506 * [misc]backup-simplify: Simplify PI into PI 1536830197.507 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830197.507 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830197.507 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830197.507 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830197.507 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.507 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.507 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830197.508 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830197.508 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.508 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.508 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.508 * [misc]taylor: Taking taylor expansion of k in n 1536830197.508 * [misc]backup-simplify: Simplify k into k 1536830197.508 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.508 * [misc]backup-simplify: Simplify 2 into 2 1536830197.508 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.508 * [misc]taylor: Taking taylor expansion of n in n 1536830197.508 * [misc]backup-simplify: Simplify 0 into 0 1536830197.508 * [misc]backup-simplify: Simplify 1 into 1 1536830197.508 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.508 * [misc]backup-simplify: Simplify PI into PI 1536830197.508 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.508 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830197.509 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.509 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830197.510 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.510 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830197.510 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830197.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830197.510 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.511 * [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)))) 1536830197.511 * [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))))) 1536830197.511 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830197.511 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830197.511 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830197.511 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830197.511 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.512 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830197.512 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.512 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.512 * [misc]taylor: Taking taylor expansion of k in n 1536830197.512 * [misc]backup-simplify: Simplify k into k 1536830197.512 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830197.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.512 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.512 * [misc]backup-simplify: Simplify 2 into 2 1536830197.512 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.512 * [misc]taylor: Taking taylor expansion of n in n 1536830197.512 * [misc]backup-simplify: Simplify 0 into 0 1536830197.512 * [misc]backup-simplify: Simplify 1 into 1 1536830197.512 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.512 * [misc]backup-simplify: Simplify PI into PI 1536830197.512 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.512 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830197.512 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.513 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830197.513 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.513 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830197.513 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830197.513 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830197.514 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.514 * [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)))) 1536830197.515 * [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))))) 1536830197.515 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.515 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.515 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.515 * [misc]taylor: Taking taylor expansion of k in k 1536830197.515 * [misc]backup-simplify: Simplify 0 into 0 1536830197.515 * [misc]backup-simplify: Simplify 1 into 1 1536830197.515 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of n in k 1536830197.515 * [misc]backup-simplify: Simplify n into n 1536830197.515 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830197.515 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830197.515 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.515 * [misc]backup-simplify: Simplify 2 into 2 1536830197.515 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.515 * [misc]backup-simplify: Simplify PI into PI 1536830197.515 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.516 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.516 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830197.516 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.516 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.517 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.517 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536830197.517 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830197.518 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830197.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830197.520 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830197.523 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830197.523 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536830197.523 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.523 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.524 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.525 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830197.526 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830197.526 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.527 * [misc]backup-simplify: Simplify 0 into 0 1536830197.527 * [misc]backup-simplify: Simplify 0 into 0 1536830197.528 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536830197.528 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830197.531 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830197.532 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.532 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830197.532 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536830197.535 * [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))))))) 1536830197.537 * [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))))))) 1536830197.538 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830197.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830197.546 * [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 1536830197.546 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536830197.547 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.547 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.548 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.549 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830197.551 * [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 1536830197.551 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.551 * [misc]backup-simplify: Simplify 0 into 0 1536830197.551 * [misc]backup-simplify: Simplify 0 into 0 1536830197.551 * [misc]backup-simplify: Simplify 0 into 0 1536830197.553 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536830197.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830197.561 * [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 1536830197.561 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.561 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830197.561 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.562 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.563 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830197.566 * [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))))) 1536830197.570 * [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))))) 1536830197.580 * [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))))) 1536830197.580 * [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)))) 1536830197.580 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536830197.580 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.580 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.580 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.580 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.580 * [misc]taylor: Taking taylor expansion of k in k 1536830197.580 * [misc]backup-simplify: Simplify 0 into 0 1536830197.581 * [misc]backup-simplify: Simplify 1 into 1 1536830197.581 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.581 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830197.581 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830197.581 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.581 * [misc]backup-simplify: Simplify 2 into 2 1536830197.581 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.581 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.581 * [misc]backup-simplify: Simplify PI into PI 1536830197.581 * [misc]taylor: Taking taylor expansion of n in k 1536830197.581 * [misc]backup-simplify: Simplify n into n 1536830197.581 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.581 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830197.581 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830197.582 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.582 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.582 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.582 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830197.582 * [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)))) 1536830197.582 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of k in n 1536830197.583 * [misc]backup-simplify: Simplify k into k 1536830197.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.583 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.583 * [misc]backup-simplify: Simplify 2 into 2 1536830197.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.583 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.583 * [misc]backup-simplify: Simplify PI into PI 1536830197.583 * [misc]taylor: Taking taylor expansion of n in n 1536830197.583 * [misc]backup-simplify: Simplify 0 into 0 1536830197.583 * [misc]backup-simplify: Simplify 1 into 1 1536830197.584 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.584 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.584 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.585 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.585 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.585 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.586 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.586 * [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))) 1536830197.587 * [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)))) 1536830197.587 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.587 * [misc]taylor: Taking taylor expansion of k in n 1536830197.587 * [misc]backup-simplify: Simplify k into k 1536830197.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.587 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.588 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.588 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.588 * [misc]backup-simplify: Simplify 2 into 2 1536830197.588 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.588 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.588 * [misc]backup-simplify: Simplify PI into PI 1536830197.588 * [misc]taylor: Taking taylor expansion of n in n 1536830197.588 * [misc]backup-simplify: Simplify 0 into 0 1536830197.588 * [misc]backup-simplify: Simplify 1 into 1 1536830197.588 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.588 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.589 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.589 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.589 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.589 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.591 * [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))) 1536830197.591 * [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)))) 1536830197.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of k in k 1536830197.592 * [misc]backup-simplify: Simplify 0 into 0 1536830197.592 * [misc]backup-simplify: Simplify 1 into 1 1536830197.592 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.592 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830197.592 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.592 * [misc]backup-simplify: Simplify 2 into 2 1536830197.592 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.592 * [misc]backup-simplify: Simplify PI into PI 1536830197.593 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.593 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.593 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830197.593 * [misc]taylor: Taking taylor expansion of n in k 1536830197.593 * [misc]backup-simplify: Simplify n into n 1536830197.593 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830197.593 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.594 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.594 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.594 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830197.594 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536830197.595 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536830197.596 * [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)))) 1536830197.597 * [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)))) 1536830197.598 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830197.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830197.602 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830197.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830197.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830197.602 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.604 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830197.606 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830197.606 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.606 * [misc]backup-simplify: Simplify 0 into 0 1536830197.606 * [misc]backup-simplify: Simplify 0 into 0 1536830197.606 * [misc]backup-simplify: Simplify 0 into 0 1536830197.607 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.609 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830197.614 * [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 1536830197.615 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830197.615 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830197.615 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.615 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.616 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.617 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536830197.620 * [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 1536830197.620 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.620 * [misc]backup-simplify: Simplify 0 into 0 1536830197.620 * [misc]backup-simplify: Simplify 0 into 0 1536830197.620 * [misc]backup-simplify: Simplify 0 into 0 1536830197.620 * [misc]backup-simplify: Simplify 0 into 0 1536830197.622 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.624 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830197.633 * [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 1536830197.634 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830197.634 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830197.634 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.635 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.636 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536830197.645 * [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 1536830197.645 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.645 * [misc]backup-simplify: Simplify 0 into 0 1536830197.645 * [misc]backup-simplify: Simplify 0 into 0 1536830197.646 * [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))))) 1536830197.646 * [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)) 1536830197.646 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536830197.647 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.647 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of k in k 1536830197.647 * [misc]backup-simplify: Simplify 0 into 0 1536830197.647 * [misc]backup-simplify: Simplify 1 into 1 1536830197.647 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.647 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.647 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.647 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of -2 in k 1536830197.647 * [misc]backup-simplify: Simplify -2 into -2 1536830197.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.647 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.647 * [misc]backup-simplify: Simplify PI into PI 1536830197.647 * [misc]taylor: Taking taylor expansion of n in k 1536830197.647 * [misc]backup-simplify: Simplify n into n 1536830197.647 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.648 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830197.648 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830197.648 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.648 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.648 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830197.649 * [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))) 1536830197.649 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of k in n 1536830197.649 * [misc]backup-simplify: Simplify k into k 1536830197.649 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.649 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.649 * [misc]backup-simplify: Simplify -2 into -2 1536830197.649 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.649 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.649 * [misc]backup-simplify: Simplify PI into PI 1536830197.649 * [misc]taylor: Taking taylor expansion of n in n 1536830197.649 * [misc]backup-simplify: Simplify 0 into 0 1536830197.649 * [misc]backup-simplify: Simplify 1 into 1 1536830197.650 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.650 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.651 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.651 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.651 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.652 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.653 * [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))) 1536830197.653 * [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)))) 1536830197.654 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.654 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of k in n 1536830197.654 * [misc]backup-simplify: Simplify k into k 1536830197.654 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.654 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.654 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.654 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.654 * [misc]backup-simplify: Simplify -2 into -2 1536830197.654 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.654 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.654 * [misc]backup-simplify: Simplify PI into PI 1536830197.654 * [misc]taylor: Taking taylor expansion of n in n 1536830197.654 * [misc]backup-simplify: Simplify 0 into 0 1536830197.654 * [misc]backup-simplify: Simplify 1 into 1 1536830197.655 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.655 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.655 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.656 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.656 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.656 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.657 * [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))) 1536830197.658 * [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)))) 1536830197.658 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536830197.658 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536830197.658 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.659 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of k in k 1536830197.659 * [misc]backup-simplify: Simplify 0 into 0 1536830197.659 * [misc]backup-simplify: Simplify 1 into 1 1536830197.659 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.659 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.659 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.659 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536830197.659 * [misc]taylor: Taking taylor expansion of -2 in k 1536830197.659 * [misc]backup-simplify: Simplify -2 into -2 1536830197.659 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.659 * [misc]backup-simplify: Simplify PI into PI 1536830197.659 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.660 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.660 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830197.660 * [misc]taylor: Taking taylor expansion of n in k 1536830197.660 * [misc]backup-simplify: Simplify n into n 1536830197.660 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830197.660 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.661 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.661 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830197.661 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536830197.662 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536830197.663 * [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)))) 1536830197.663 * [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)))) 1536830197.665 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830197.665 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830197.668 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830197.669 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830197.669 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830197.669 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.670 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.671 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536830197.672 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830197.672 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.672 * [misc]backup-simplify: Simplify 0 into 0 1536830197.672 * [misc]backup-simplify: Simplify 0 into 0 1536830197.672 * [misc]backup-simplify: Simplify 0 into 0 1536830197.674 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.675 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830197.681 * [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 1536830197.681 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830197.682 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830197.682 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.683 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.684 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536830197.686 * [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 1536830197.686 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.686 * [misc]backup-simplify: Simplify 0 into 0 1536830197.686 * [misc]backup-simplify: Simplify 0 into 0 1536830197.686 * [misc]backup-simplify: Simplify 0 into 0 1536830197.686 * [misc]backup-simplify: Simplify 0 into 0 1536830197.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.689 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830197.694 * [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 1536830197.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830197.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830197.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.695 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.696 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536830197.698 * [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 1536830197.698 * [misc]taylor: Taking taylor expansion of 0 in k 1536830197.698 * [misc]backup-simplify: Simplify 0 into 0 1536830197.698 * [misc]backup-simplify: Simplify 0 into 0 1536830197.699 * [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))))) 1536830197.699 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1536830197.700 * [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)) 1536830197.700 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536830197.700 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.700 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.700 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.700 * [misc]taylor: Taking taylor expansion of k in n 1536830197.700 * [misc]backup-simplify: Simplify k into k 1536830197.700 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.700 * [misc]backup-simplify: Simplify 2 into 2 1536830197.700 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.700 * [misc]taylor: Taking taylor expansion of n in n 1536830197.700 * [misc]backup-simplify: Simplify 0 into 0 1536830197.700 * [misc]backup-simplify: Simplify 1 into 1 1536830197.700 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.700 * [misc]backup-simplify: Simplify PI into PI 1536830197.700 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.700 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830197.701 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.701 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830197.702 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.702 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830197.702 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830197.702 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830197.702 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.703 * [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)))) 1536830197.703 * [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))))) 1536830197.704 * [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)))))) 1536830197.704 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830197.704 * [misc]taylor: Taking taylor expansion of k in n 1536830197.704 * [misc]backup-simplify: Simplify k into k 1536830197.704 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830197.704 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830197.704 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.704 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.704 * [misc]taylor: Taking taylor expansion of k in k 1536830197.704 * [misc]backup-simplify: Simplify 0 into 0 1536830197.704 * [misc]backup-simplify: Simplify 1 into 1 1536830197.704 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.704 * [misc]backup-simplify: Simplify 2 into 2 1536830197.704 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830197.704 * [misc]taylor: Taking taylor expansion of n in k 1536830197.704 * [misc]backup-simplify: Simplify n into n 1536830197.704 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.704 * [misc]backup-simplify: Simplify PI into PI 1536830197.704 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830197.704 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830197.704 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830197.704 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830197.705 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.705 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.705 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830197.705 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830197.705 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536830197.705 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830197.705 * [misc]taylor: Taking taylor expansion of k in k 1536830197.705 * [misc]backup-simplify: Simplify 0 into 0 1536830197.705 * [misc]backup-simplify: Simplify 1 into 1 1536830197.705 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.706 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830197.706 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.706 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.706 * [misc]taylor: Taking taylor expansion of k in k 1536830197.706 * [misc]backup-simplify: Simplify 0 into 0 1536830197.706 * [misc]backup-simplify: Simplify 1 into 1 1536830197.706 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.706 * [misc]backup-simplify: Simplify 2 into 2 1536830197.706 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830197.706 * [misc]taylor: Taking taylor expansion of n in k 1536830197.706 * [misc]backup-simplify: Simplify n into n 1536830197.706 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.706 * [misc]backup-simplify: Simplify PI into PI 1536830197.706 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830197.706 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830197.706 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830197.706 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830197.706 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.707 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.707 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830197.707 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830197.707 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536830197.707 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830197.707 * [misc]taylor: Taking taylor expansion of k in k 1536830197.707 * [misc]backup-simplify: Simplify 0 into 0 1536830197.707 * [misc]backup-simplify: Simplify 1 into 1 1536830197.707 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.707 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830197.708 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1536830197.708 * [misc]taylor: Taking taylor expansion of 0 in n 1536830197.708 * [misc]backup-simplify: Simplify 0 into 0 1536830197.708 * [misc]backup-simplify: Simplify 0 into 0 1536830197.708 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536830197.708 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536830197.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536830197.709 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830197.709 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.709 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.710 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536830197.710 * [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))))) 1536830197.712 * [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))))) 1536830197.713 * [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)))) 1536830197.713 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.713 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.713 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.713 * [misc]taylor: Taking taylor expansion of n in n 1536830197.713 * [misc]backup-simplify: Simplify 0 into 0 1536830197.713 * [misc]backup-simplify: Simplify 1 into 1 1536830197.713 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.713 * [misc]backup-simplify: Simplify PI into PI 1536830197.714 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.714 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.714 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830197.714 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.715 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830197.715 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830197.715 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.715 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.715 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830197.715 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830197.716 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.716 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830197.717 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.718 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.719 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.719 * [misc]backup-simplify: Simplify 0 into 0 1536830197.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830197.720 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536830197.721 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536830197.723 * [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 1536830197.723 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830197.723 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.724 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.724 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536830197.726 * [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))) 1536830197.738 * [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)))))) 1536830197.750 * [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)))))) 1536830197.750 * [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 1536830197.750 * [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 1536830197.750 * [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 1536830197.750 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.750 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.750 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1536830197.750 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1536830197.750 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830197.750 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.750 * [misc]backup-simplify: Simplify 2 into 2 1536830197.751 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830197.751 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830197.751 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1536830197.751 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830197.751 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.751 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.751 * [misc]backup-simplify: Simplify 2 into 2 1536830197.751 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.751 * [misc]taylor: Taking taylor expansion of n in n 1536830197.751 * [misc]backup-simplify: Simplify 0 into 0 1536830197.751 * [misc]backup-simplify: Simplify 1 into 1 1536830197.751 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.751 * [misc]backup-simplify: Simplify PI into PI 1536830197.751 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.752 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830197.752 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.753 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830197.754 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.754 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536830197.754 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830197.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.754 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830197.754 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830197.754 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830197.754 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830197.754 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.754 * [misc]taylor: Taking taylor expansion of n in n 1536830197.754 * [misc]backup-simplify: Simplify 0 into 0 1536830197.754 * [misc]backup-simplify: Simplify 1 into 1 1536830197.754 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.755 * [misc]backup-simplify: Simplify PI into PI 1536830197.755 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.756 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.756 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830197.756 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.757 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830197.757 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.757 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.757 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.757 * [misc]taylor: Taking taylor expansion of n in n 1536830197.757 * [misc]backup-simplify: Simplify 0 into 0 1536830197.757 * [misc]backup-simplify: Simplify 1 into 1 1536830197.757 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.757 * [misc]backup-simplify: Simplify PI into PI 1536830197.758 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.758 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.759 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830197.759 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.759 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830197.760 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830197.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.760 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830197.760 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830197.761 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.762 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536830197.768 * [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)))) 1536830197.770 * [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))))) 1536830197.771 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830197.771 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536830197.773 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830197.774 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830197.777 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830197.779 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536830197.781 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1536830197.784 * [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))))) 1536830197.786 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1536830197.798 * [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))))) 1536830197.800 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.801 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830197.803 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.805 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830197.817 * [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))))))) 1536830197.833 * [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))))))) 1536830197.841 * [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))))))) 1536830197.842 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536830197.843 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830197.844 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536830197.845 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536830197.847 * [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)))) 1536830197.850 * [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)))) 1536830197.851 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536830197.853 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536830197.867 * [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))))))))))) 1536830197.868 * [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))) 1536830197.868 * [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 1536830197.868 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of k in n 1536830197.868 * [misc]backup-simplify: Simplify k into k 1536830197.868 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.868 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.868 * [misc]backup-simplify: Simplify 2 into 2 1536830197.868 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.868 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.868 * [misc]backup-simplify: Simplify PI into PI 1536830197.868 * [misc]taylor: Taking taylor expansion of n in n 1536830197.869 * [misc]backup-simplify: Simplify 0 into 0 1536830197.869 * [misc]backup-simplify: Simplify 1 into 1 1536830197.869 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.869 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.870 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.870 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.870 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.870 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.871 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.872 * [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))) 1536830197.873 * [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)))) 1536830197.873 * [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))))) 1536830197.874 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830197.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.874 * [misc]taylor: Taking taylor expansion of k in n 1536830197.874 * [misc]backup-simplify: Simplify k into k 1536830197.874 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.874 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830197.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830197.874 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830197.874 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.874 * [misc]taylor: Taking taylor expansion of k in k 1536830197.874 * [misc]backup-simplify: Simplify 0 into 0 1536830197.875 * [misc]backup-simplify: Simplify 1 into 1 1536830197.875 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.875 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830197.875 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830197.875 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.875 * [misc]backup-simplify: Simplify 2 into 2 1536830197.875 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.875 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.875 * [misc]backup-simplify: Simplify PI into PI 1536830197.875 * [misc]taylor: Taking taylor expansion of n in k 1536830197.875 * [misc]backup-simplify: Simplify n into n 1536830197.875 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.875 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830197.876 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830197.876 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.876 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.876 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.876 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830197.877 * [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)))) 1536830197.877 * [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))))) 1536830197.877 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830197.877 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.877 * [misc]taylor: Taking taylor expansion of k in k 1536830197.877 * [misc]backup-simplify: Simplify 0 into 0 1536830197.877 * [misc]backup-simplify: Simplify 1 into 1 1536830197.877 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.877 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.878 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830197.878 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.878 * [misc]taylor: Taking taylor expansion of k in k 1536830197.878 * [misc]backup-simplify: Simplify 0 into 0 1536830197.878 * [misc]backup-simplify: Simplify 1 into 1 1536830197.879 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.879 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830197.879 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830197.879 * [misc]taylor: Taking taylor expansion of 2 in k 1536830197.879 * [misc]backup-simplify: Simplify 2 into 2 1536830197.879 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.879 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.879 * [misc]backup-simplify: Simplify PI into PI 1536830197.879 * [misc]taylor: Taking taylor expansion of n in k 1536830197.879 * [misc]backup-simplify: Simplify n into n 1536830197.879 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.879 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830197.879 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830197.880 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.880 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830197.880 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830197.880 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830197.880 * [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)))) 1536830197.881 * [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))))) 1536830197.881 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830197.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.881 * [misc]taylor: Taking taylor expansion of k in k 1536830197.881 * [misc]backup-simplify: Simplify 0 into 0 1536830197.881 * [misc]backup-simplify: Simplify 1 into 1 1536830197.881 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.881 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.882 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830197.882 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536830197.882 * [misc]taylor: Taking taylor expansion of 0 in n 1536830197.882 * [misc]backup-simplify: Simplify 0 into 0 1536830197.882 * [misc]backup-simplify: Simplify 0 into 0 1536830197.883 * [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 1536830197.884 * [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))))))) 1536830197.884 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.884 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.884 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of k in n 1536830197.884 * [misc]backup-simplify: Simplify k into k 1536830197.884 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.884 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.884 * [misc]backup-simplify: Simplify 2 into 2 1536830197.884 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.884 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.885 * [misc]backup-simplify: Simplify PI into PI 1536830197.885 * [misc]taylor: Taking taylor expansion of n in n 1536830197.885 * [misc]backup-simplify: Simplify 0 into 0 1536830197.885 * [misc]backup-simplify: Simplify 1 into 1 1536830197.885 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.885 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.886 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.886 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.886 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.887 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.888 * [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))) 1536830197.889 * [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)))) 1536830197.890 * [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))))) 1536830197.891 * [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))))) 1536830197.892 * [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))))))) 1536830197.894 * [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))))))) 1536830197.894 * [misc]backup-simplify: Simplify 0 into 0 1536830197.894 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830197.895 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830197.896 * [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 1536830197.897 * [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))))))) 1536830197.897 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.897 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.897 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.897 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.898 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.898 * [misc]taylor: Taking taylor expansion of k in n 1536830197.898 * [misc]backup-simplify: Simplify k into k 1536830197.898 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.898 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.898 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.898 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.898 * [misc]backup-simplify: Simplify 2 into 2 1536830197.898 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.898 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.898 * [misc]backup-simplify: Simplify PI into PI 1536830197.898 * [misc]taylor: Taking taylor expansion of n in n 1536830197.898 * [misc]backup-simplify: Simplify 0 into 0 1536830197.898 * [misc]backup-simplify: Simplify 1 into 1 1536830197.899 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.899 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.900 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.900 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.900 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.900 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.901 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.902 * [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))) 1536830197.902 * [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)))) 1536830197.903 * [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))))) 1536830197.904 * [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))))) 1536830197.905 * [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))))))) 1536830197.906 * [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))))))) 1536830197.907 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830197.908 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830197.915 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830197.915 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830197.916 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830197.916 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.917 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.918 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830197.920 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830197.921 * [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 1536830197.922 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536830197.923 * [misc]backup-simplify: Simplify (- 0) into 0 1536830197.923 * [misc]backup-simplify: Simplify 0 into 0 1536830197.923 * [misc]backup-simplify: Simplify 0 into 0 1536830197.923 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.924 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830197.926 * [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 1536830197.926 * [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))))))) 1536830197.926 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830197.926 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830197.926 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.927 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.927 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of k in n 1536830197.927 * [misc]backup-simplify: Simplify k into k 1536830197.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.927 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.927 * [misc]backup-simplify: Simplify 2 into 2 1536830197.927 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.927 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.927 * [misc]backup-simplify: Simplify PI into PI 1536830197.927 * [misc]taylor: Taking taylor expansion of n in n 1536830197.927 * [misc]backup-simplify: Simplify 0 into 0 1536830197.927 * [misc]backup-simplify: Simplify 1 into 1 1536830197.928 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.928 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830197.929 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830197.929 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.929 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830197.929 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830197.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830197.930 * [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))) 1536830197.931 * [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)))) 1536830197.932 * [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))))) 1536830197.933 * [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))))) 1536830197.934 * [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))))))) 1536830197.935 * [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))))))) 1536830197.938 * [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)))))))))))) 1536830197.939 * [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))) 1536830197.939 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536830197.939 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830197.939 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830197.939 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830197.939 * [misc]taylor: Taking taylor expansion of -1 in n 1536830197.939 * [misc]backup-simplify: Simplify -1 into -1 1536830197.939 * [misc]taylor: Taking taylor expansion of k in n 1536830197.939 * [misc]backup-simplify: Simplify k into k 1536830197.939 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830197.940 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830197.940 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830197.940 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830197.940 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of k in n 1536830197.940 * [misc]backup-simplify: Simplify k into k 1536830197.940 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.940 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.940 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.940 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.940 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.940 * [misc]backup-simplify: Simplify -2 into -2 1536830197.940 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.941 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.941 * [misc]backup-simplify: Simplify PI into PI 1536830197.941 * [misc]taylor: Taking taylor expansion of n in n 1536830197.941 * [misc]backup-simplify: Simplify 0 into 0 1536830197.941 * [misc]backup-simplify: Simplify 1 into 1 1536830197.941 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.942 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.942 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.942 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.942 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.943 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.944 * [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))) 1536830197.945 * [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)))) 1536830197.946 * [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))))) 1536830197.946 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830197.946 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830197.946 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830197.946 * [misc]taylor: Taking taylor expansion of -1 in k 1536830197.946 * [misc]backup-simplify: Simplify -1 into -1 1536830197.946 * [misc]taylor: Taking taylor expansion of k in k 1536830197.946 * [misc]backup-simplify: Simplify 0 into 0 1536830197.946 * [misc]backup-simplify: Simplify 1 into 1 1536830197.946 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830197.946 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.947 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830197.947 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.947 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of k in k 1536830197.947 * [misc]backup-simplify: Simplify 0 into 0 1536830197.947 * [misc]backup-simplify: Simplify 1 into 1 1536830197.947 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.947 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.947 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.947 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830197.947 * [misc]taylor: Taking taylor expansion of -2 in k 1536830197.947 * [misc]backup-simplify: Simplify -2 into -2 1536830197.947 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.948 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.948 * [misc]backup-simplify: Simplify PI into PI 1536830197.948 * [misc]taylor: Taking taylor expansion of n in k 1536830197.948 * [misc]backup-simplify: Simplify n into n 1536830197.948 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.948 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830197.948 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830197.948 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.948 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.949 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830197.949 * [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))) 1536830197.949 * [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)))) 1536830197.949 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830197.949 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830197.949 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830197.949 * [misc]taylor: Taking taylor expansion of -1 in k 1536830197.949 * [misc]backup-simplify: Simplify -1 into -1 1536830197.949 * [misc]taylor: Taking taylor expansion of k in k 1536830197.949 * [misc]backup-simplify: Simplify 0 into 0 1536830197.949 * [misc]backup-simplify: Simplify 1 into 1 1536830197.950 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830197.950 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830197.950 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830197.950 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830197.950 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830197.950 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830197.950 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830197.950 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830197.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.950 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830197.951 * [misc]taylor: Taking taylor expansion of k in k 1536830197.951 * [misc]backup-simplify: Simplify 0 into 0 1536830197.951 * [misc]backup-simplify: Simplify 1 into 1 1536830197.951 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830197.951 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830197.951 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.951 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830197.951 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830197.951 * [misc]taylor: Taking taylor expansion of -2 in k 1536830197.951 * [misc]backup-simplify: Simplify -2 into -2 1536830197.951 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830197.951 * [misc]taylor: Taking taylor expansion of PI in k 1536830197.951 * [misc]backup-simplify: Simplify PI into PI 1536830197.951 * [misc]taylor: Taking taylor expansion of n in k 1536830197.951 * [misc]backup-simplify: Simplify n into n 1536830197.952 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830197.952 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830197.952 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830197.952 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830197.952 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830197.952 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830197.953 * [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))) 1536830197.953 * [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)))) 1536830197.953 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830197.953 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.953 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.953 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830197.953 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.953 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.953 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.953 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.953 * [misc]backup-simplify: Simplify -2 into -2 1536830197.954 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.954 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.954 * [misc]backup-simplify: Simplify PI into PI 1536830197.954 * [misc]taylor: Taking taylor expansion of n in n 1536830197.954 * [misc]backup-simplify: Simplify 0 into 0 1536830197.954 * [misc]backup-simplify: Simplify 1 into 1 1536830197.954 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.954 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.955 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.955 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.955 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.955 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.955 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.955 * [misc]taylor: Taking taylor expansion of k in n 1536830197.955 * [misc]backup-simplify: Simplify k into k 1536830197.955 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.955 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.955 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.956 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.956 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.956 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.957 * [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))) 1536830197.958 * [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)))) 1536830197.958 * [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))))) 1536830197.959 * [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))))) 1536830197.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830197.961 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830197.962 * [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)))))) 1536830197.962 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.962 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.962 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.962 * [misc]backup-simplify: Simplify -2 into -2 1536830197.962 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.962 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.962 * [misc]backup-simplify: Simplify PI into PI 1536830197.962 * [misc]taylor: Taking taylor expansion of n in n 1536830197.962 * [misc]backup-simplify: Simplify 0 into 0 1536830197.962 * [misc]backup-simplify: Simplify 1 into 1 1536830197.963 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.963 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.964 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.964 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.964 * [misc]taylor: Taking taylor expansion of k in n 1536830197.964 * [misc]backup-simplify: Simplify k into k 1536830197.964 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.964 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.965 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.965 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.965 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.965 * [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))) 1536830197.966 * [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)))) 1536830197.967 * [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))))) 1536830197.968 * [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))))) 1536830197.969 * [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))))))) 1536830197.969 * [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))))))) 1536830197.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.970 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830197.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830197.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830197.972 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830197.973 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830197.976 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830197.976 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536830197.978 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830197.980 * [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 1536830197.981 * [misc]backup-simplify: Simplify 0 into 0 1536830197.981 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830197.982 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830197.984 * [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)))))) 1536830197.984 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830197.984 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830197.984 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of -2 in n 1536830197.984 * [misc]backup-simplify: Simplify -2 into -2 1536830197.984 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830197.984 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.985 * [misc]backup-simplify: Simplify PI into PI 1536830197.985 * [misc]taylor: Taking taylor expansion of n in n 1536830197.985 * [misc]backup-simplify: Simplify 0 into 0 1536830197.985 * [misc]backup-simplify: Simplify 1 into 1 1536830197.985 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830197.985 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830197.986 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830197.986 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830197.986 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830197.986 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.986 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.986 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830197.986 * [misc]taylor: Taking taylor expansion of k in n 1536830197.986 * [misc]backup-simplify: Simplify k into k 1536830197.986 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830197.986 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830197.986 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830197.987 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830197.987 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830197.987 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830197.988 * [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))) 1536830197.988 * [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)))) 1536830197.989 * [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))))) 1536830197.990 * [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))))) 1536830197.991 * [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))))))) 1536830197.992 * [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))))))) 1536830197.995 * [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)))))))))))) 1536830197.995 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) 1536830197.996 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536830197.996 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536830197.996 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.996 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.996 * [misc]backup-simplify: Simplify 2 into 2 1536830197.996 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.996 * [misc]taylor: Taking taylor expansion of n in n 1536830197.996 * [misc]backup-simplify: Simplify 0 into 0 1536830197.996 * [misc]backup-simplify: Simplify 1 into 1 1536830197.996 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.996 * [misc]backup-simplify: Simplify PI into PI 1536830197.996 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830197.996 * [misc]taylor: Taking taylor expansion of 2 in n 1536830197.996 * [misc]backup-simplify: Simplify 2 into 2 1536830197.996 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830197.996 * [misc]taylor: Taking taylor expansion of n in n 1536830197.996 * [misc]backup-simplify: Simplify 0 into 0 1536830197.996 * [misc]backup-simplify: Simplify 1 into 1 1536830197.996 * [misc]taylor: Taking taylor expansion of PI in n 1536830197.996 * [misc]backup-simplify: Simplify PI into PI 1536830197.997 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830197.997 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830197.997 * [misc]backup-simplify: Simplify 0 into 0 1536830197.998 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830197.998 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830197.999 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.000 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830198.001 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830198.001 * [misc]backup-simplify: Simplify 0 into 0 1536830198.003 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830198.005 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830198.005 * [misc]backup-simplify: Simplify 0 into 0 1536830198.007 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830198.009 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536830198.009 * [misc]backup-simplify: Simplify 0 into 0 1536830198.012 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830198.015 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536830198.015 * [misc]backup-simplify: Simplify 0 into 0 1536830198.018 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830198.022 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536830198.022 * [misc]backup-simplify: Simplify 0 into 0 1536830198.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536830198.030 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536830198.030 * [misc]backup-simplify: Simplify 0 into 0 1536830198.031 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536830198.031 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536830198.031 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536830198.031 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.031 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.031 * [misc]backup-simplify: Simplify 2 into 2 1536830198.031 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.031 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.031 * [misc]backup-simplify: Simplify PI into PI 1536830198.031 * [misc]taylor: Taking taylor expansion of n in n 1536830198.031 * [misc]backup-simplify: Simplify 0 into 0 1536830198.031 * [misc]backup-simplify: Simplify 1 into 1 1536830198.032 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.032 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.032 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.032 * [misc]backup-simplify: Simplify 2 into 2 1536830198.032 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.032 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.032 * [misc]backup-simplify: Simplify PI into PI 1536830198.032 * [misc]taylor: Taking taylor expansion of n in n 1536830198.032 * [misc]backup-simplify: Simplify 0 into 0 1536830198.032 * [misc]backup-simplify: Simplify 1 into 1 1536830198.032 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.033 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.033 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.034 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830198.035 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830198.035 * [misc]backup-simplify: Simplify 0 into 0 1536830198.036 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.038 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830198.038 * [misc]backup-simplify: Simplify 0 into 0 1536830198.039 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.041 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830198.041 * [misc]backup-simplify: Simplify 0 into 0 1536830198.043 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.045 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830198.045 * [misc]backup-simplify: Simplify 0 into 0 1536830198.048 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.051 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830198.051 * [misc]backup-simplify: Simplify 0 into 0 1536830198.054 * [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 1536830198.060 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830198.060 * [misc]backup-simplify: Simplify 0 into 0 1536830198.061 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536830198.061 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536830198.061 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536830198.061 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.061 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.061 * [misc]backup-simplify: Simplify -2 into -2 1536830198.061 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.061 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.061 * [misc]backup-simplify: Simplify PI into PI 1536830198.061 * [misc]taylor: Taking taylor expansion of n in n 1536830198.061 * [misc]backup-simplify: Simplify 0 into 0 1536830198.061 * [misc]backup-simplify: Simplify 1 into 1 1536830198.062 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.062 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.062 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.062 * [misc]backup-simplify: Simplify -2 into -2 1536830198.062 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.062 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.062 * [misc]backup-simplify: Simplify PI into PI 1536830198.062 * [misc]taylor: Taking taylor expansion of n in n 1536830198.062 * [misc]backup-simplify: Simplify 0 into 0 1536830198.062 * [misc]backup-simplify: Simplify 1 into 1 1536830198.062 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.063 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.063 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.065 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830198.065 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830198.065 * [misc]backup-simplify: Simplify 0 into 0 1536830198.067 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.068 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830198.068 * [misc]backup-simplify: Simplify 0 into 0 1536830198.070 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.072 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830198.072 * [misc]backup-simplify: Simplify 0 into 0 1536830198.074 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.076 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830198.076 * [misc]backup-simplify: Simplify 0 into 0 1536830198.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.081 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830198.081 * [misc]backup-simplify: Simplify 0 into 0 1536830198.083 * [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 1536830198.086 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830198.086 * [misc]backup-simplify: Simplify 0 into 0 1536830198.087 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536830198.087 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1536830198.088 * [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)))) 1536830198.088 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1536830198.088 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of k in n 1536830198.088 * [misc]backup-simplify: Simplify k into k 1536830198.088 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.088 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830198.088 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830198.088 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830198.088 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830198.088 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.088 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.088 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830198.089 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.089 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.089 * [misc]taylor: Taking taylor expansion of k in n 1536830198.089 * [misc]backup-simplify: Simplify k into k 1536830198.089 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830198.089 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830198.089 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.089 * [misc]backup-simplify: Simplify 2 into 2 1536830198.089 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.089 * [misc]taylor: Taking taylor expansion of n in n 1536830198.089 * [misc]backup-simplify: Simplify 0 into 0 1536830198.089 * [misc]backup-simplify: Simplify 1 into 1 1536830198.089 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.089 * [misc]backup-simplify: Simplify PI into PI 1536830198.089 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.089 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830198.090 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.091 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830198.091 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.092 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830198.092 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830198.092 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830198.092 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.093 * [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)))) 1536830198.094 * [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))))) 1536830198.094 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830198.094 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830198.094 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.094 * [misc]taylor: Taking taylor expansion of k in k 1536830198.094 * [misc]backup-simplify: Simplify 0 into 0 1536830198.094 * [misc]backup-simplify: Simplify 1 into 1 1536830198.094 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.094 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.095 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830198.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.095 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.095 * [misc]taylor: Taking taylor expansion of k in k 1536830198.095 * [misc]backup-simplify: Simplify 0 into 0 1536830198.095 * [misc]backup-simplify: Simplify 1 into 1 1536830198.095 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of 2 in k 1536830198.095 * [misc]backup-simplify: Simplify 2 into 2 1536830198.095 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830198.095 * [misc]taylor: Taking taylor expansion of n in k 1536830198.095 * [misc]backup-simplify: Simplify n into n 1536830198.095 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.095 * [misc]backup-simplify: Simplify PI into PI 1536830198.096 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830198.096 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830198.096 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830198.096 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830198.096 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.096 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830198.097 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830198.097 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830198.097 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830198.097 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830198.097 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.097 * [misc]taylor: Taking taylor expansion of k in k 1536830198.097 * [misc]backup-simplify: Simplify 0 into 0 1536830198.097 * [misc]backup-simplify: Simplify 1 into 1 1536830198.097 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.097 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.098 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830198.098 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.098 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.098 * [misc]taylor: Taking taylor expansion of k in k 1536830198.098 * [misc]backup-simplify: Simplify 0 into 0 1536830198.098 * [misc]backup-simplify: Simplify 1 into 1 1536830198.098 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of 2 in k 1536830198.098 * [misc]backup-simplify: Simplify 2 into 2 1536830198.098 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830198.098 * [misc]taylor: Taking taylor expansion of n in k 1536830198.098 * [misc]backup-simplify: Simplify n into n 1536830198.098 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.098 * [misc]backup-simplify: Simplify PI into PI 1536830198.098 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830198.099 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830198.099 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830198.099 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830198.099 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.099 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830198.099 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830198.100 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830198.100 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1536830198.100 * [misc]taylor: Taking taylor expansion of 0 in n 1536830198.100 * [misc]backup-simplify: Simplify 0 into 0 1536830198.100 * [misc]backup-simplify: Simplify 0 into 0 1536830198.101 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536830198.101 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536830198.102 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536830198.102 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830198.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830198.103 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830198.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536830198.104 * [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))))) 1536830198.105 * [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))))) 1536830198.105 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830198.105 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830198.105 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.105 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.106 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830198.106 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.106 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.106 * [misc]backup-simplify: Simplify 2 into 2 1536830198.106 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.106 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.106 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.106 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.106 * [misc]taylor: Taking taylor expansion of n in n 1536830198.106 * [misc]backup-simplify: Simplify 0 into 0 1536830198.106 * [misc]backup-simplify: Simplify 1 into 1 1536830198.106 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.106 * [misc]backup-simplify: Simplify PI into PI 1536830198.107 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.107 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.107 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.108 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.108 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830198.108 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.108 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.108 * [misc]backup-simplify: Simplify 0 into 0 1536830198.109 * [misc]backup-simplify: Simplify 0 into 0 1536830198.109 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536830198.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536830198.112 * [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 1536830198.113 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830198.113 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.113 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536830198.116 * [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))) 1536830198.116 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830198.118 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830198.120 * [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))))))) 1536830198.120 * [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 1536830198.120 * [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 1536830198.120 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536830198.120 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.120 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.120 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536830198.120 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536830198.120 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.120 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.120 * [misc]backup-simplify: Simplify 2 into 2 1536830198.120 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.121 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.121 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830198.121 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830198.121 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.121 * [misc]backup-simplify: Simplify 2 into 2 1536830198.121 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.121 * [misc]taylor: Taking taylor expansion of n in n 1536830198.121 * [misc]backup-simplify: Simplify 0 into 0 1536830198.121 * [misc]backup-simplify: Simplify 1 into 1 1536830198.121 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.121 * [misc]backup-simplify: Simplify PI into PI 1536830198.121 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.122 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830198.122 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.123 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830198.124 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.124 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.124 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.124 * [misc]taylor: Taking taylor expansion of n in n 1536830198.124 * [misc]backup-simplify: Simplify 0 into 0 1536830198.124 * [misc]backup-simplify: Simplify 1 into 1 1536830198.124 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.124 * [misc]backup-simplify: Simplify PI into PI 1536830198.124 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.125 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.125 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.125 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.125 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830198.125 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830198.125 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.126 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830198.126 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.126 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.126 * [misc]backup-simplify: Simplify 2 into 2 1536830198.126 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.126 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.126 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.126 * [misc]taylor: Taking taylor expansion of n in n 1536830198.126 * [misc]backup-simplify: Simplify 0 into 0 1536830198.126 * [misc]backup-simplify: Simplify 1 into 1 1536830198.126 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.126 * [misc]backup-simplify: Simplify PI into PI 1536830198.127 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.127 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.128 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.129 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.130 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536830198.130 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536830198.131 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.131 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830198.131 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.131 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.131 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.132 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.132 * [misc]backup-simplify: Simplify 0 into 0 1536830198.133 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.135 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.136 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.138 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.138 * [misc]backup-simplify: Simplify 0 into 0 1536830198.139 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830198.140 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1536830198.144 * [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 1536830198.145 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536830198.145 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.145 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1536830198.149 * [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))) 1536830198.149 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.151 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830198.156 * [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))))))))) 1536830198.156 * [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 1536830198.156 * [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 1536830198.156 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536830198.156 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.156 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.156 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536830198.156 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536830198.156 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.156 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.156 * [misc]backup-simplify: Simplify 2 into 2 1536830198.157 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.157 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.157 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830198.157 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830198.157 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.157 * [misc]backup-simplify: Simplify 2 into 2 1536830198.157 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.157 * [misc]taylor: Taking taylor expansion of n in n 1536830198.157 * [misc]backup-simplify: Simplify 0 into 0 1536830198.157 * [misc]backup-simplify: Simplify 1 into 1 1536830198.157 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.157 * [misc]backup-simplify: Simplify PI into PI 1536830198.158 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.158 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830198.158 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.159 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830198.160 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.160 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.160 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.160 * [misc]taylor: Taking taylor expansion of n in n 1536830198.160 * [misc]backup-simplify: Simplify 0 into 0 1536830198.160 * [misc]backup-simplify: Simplify 1 into 1 1536830198.160 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.161 * [misc]backup-simplify: Simplify PI into PI 1536830198.161 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.162 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.162 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.162 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.162 * [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 1536830198.162 * [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 1536830198.162 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1536830198.162 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.162 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.162 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1536830198.162 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.163 * [misc]backup-simplify: Simplify 2 into 2 1536830198.163 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.163 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.163 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.163 * [misc]backup-simplify: Simplify 2 into 2 1536830198.163 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.163 * [misc]taylor: Taking taylor expansion of n in n 1536830198.163 * [misc]backup-simplify: Simplify 0 into 0 1536830198.163 * [misc]backup-simplify: Simplify 1 into 1 1536830198.163 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.163 * [misc]backup-simplify: Simplify PI into PI 1536830198.164 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.164 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830198.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.165 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830198.166 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.167 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.167 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.167 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.167 * [misc]taylor: Taking taylor expansion of n in n 1536830198.167 * [misc]backup-simplify: Simplify 0 into 0 1536830198.167 * [misc]backup-simplify: Simplify 1 into 1 1536830198.167 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.167 * [misc]backup-simplify: Simplify PI into PI 1536830198.167 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.168 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.168 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.169 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.169 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.169 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.169 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.169 * [misc]backup-simplify: Simplify 2 into 2 1536830198.169 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830198.169 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830198.169 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830198.169 * [misc]taylor: Taking taylor expansion of n in n 1536830198.169 * [misc]backup-simplify: Simplify 0 into 0 1536830198.170 * [misc]backup-simplify: Simplify 1 into 1 1536830198.170 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.170 * [misc]backup-simplify: Simplify PI into PI 1536830198.170 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830198.171 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830198.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.171 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830198.172 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.173 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536830198.174 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536830198.174 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.175 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.175 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.177 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1536830198.178 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1536830198.179 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1536830198.179 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.180 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.181 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.181 * [misc]backup-simplify: Simplify 0 into 0 1536830198.182 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830198.183 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830198.186 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830198.187 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830198.188 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830198.190 * [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)))))))) 1536830198.193 * [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)))))))) 1536830198.194 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.196 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.198 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830198.202 * [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)))))))))) 1536830198.207 * [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))))))) 1536830198.212 * [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))))))) 1536830198.214 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830198.216 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1536830198.218 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536830198.221 * [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)))) 1536830198.226 * [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)))) 1536830198.229 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536830198.231 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536830198.239 * [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))))))))))))) 1536830198.240 * [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))))) 1536830198.240 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1536830198.240 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of k in n 1536830198.240 * [misc]backup-simplify: Simplify k into k 1536830198.240 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830198.240 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830198.240 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830198.240 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.241 * [misc]taylor: Taking taylor expansion of k in n 1536830198.241 * [misc]backup-simplify: Simplify k into k 1536830198.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.241 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830198.241 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.241 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.241 * [misc]backup-simplify: Simplify 2 into 2 1536830198.241 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.241 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.241 * [misc]backup-simplify: Simplify PI into PI 1536830198.241 * [misc]taylor: Taking taylor expansion of n in n 1536830198.241 * [misc]backup-simplify: Simplify 0 into 0 1536830198.241 * [misc]backup-simplify: Simplify 1 into 1 1536830198.241 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.242 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.242 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.242 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.242 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830198.243 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830198.243 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830198.244 * [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))) 1536830198.245 * [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)))) 1536830198.245 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830198.245 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830198.245 * [misc]taylor: Taking taylor expansion of k in k 1536830198.245 * [misc]backup-simplify: Simplify 0 into 0 1536830198.245 * [misc]backup-simplify: Simplify 1 into 1 1536830198.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.246 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830198.246 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of k in k 1536830198.246 * [misc]backup-simplify: Simplify 0 into 0 1536830198.246 * [misc]backup-simplify: Simplify 1 into 1 1536830198.246 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.246 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of 2 in k 1536830198.246 * [misc]backup-simplify: Simplify 2 into 2 1536830198.246 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830198.246 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.246 * [misc]backup-simplify: Simplify PI into PI 1536830198.246 * [misc]taylor: Taking taylor expansion of n in k 1536830198.247 * [misc]backup-simplify: Simplify n into n 1536830198.247 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830198.247 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830198.247 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830198.247 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830198.247 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830198.247 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830198.248 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830198.248 * [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)))) 1536830198.248 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830198.248 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830198.248 * [misc]taylor: Taking taylor expansion of k in k 1536830198.248 * [misc]backup-simplify: Simplify 0 into 0 1536830198.248 * [misc]backup-simplify: Simplify 1 into 1 1536830198.248 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.249 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830198.249 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of k in k 1536830198.249 * [misc]backup-simplify: Simplify 0 into 0 1536830198.249 * [misc]backup-simplify: Simplify 1 into 1 1536830198.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of 2 in k 1536830198.249 * [misc]backup-simplify: Simplify 2 into 2 1536830198.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830198.249 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.249 * [misc]backup-simplify: Simplify PI into PI 1536830198.249 * [misc]taylor: Taking taylor expansion of n in k 1536830198.249 * [misc]backup-simplify: Simplify n into n 1536830198.249 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830198.250 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830198.250 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830198.250 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830198.250 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830198.250 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830198.250 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830198.251 * [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)))) 1536830198.251 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1536830198.251 * [misc]taylor: Taking taylor expansion of 0 in n 1536830198.251 * [misc]backup-simplify: Simplify 0 into 0 1536830198.251 * [misc]backup-simplify: Simplify 0 into 0 1536830198.252 * [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)))))) 1536830198.252 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.252 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.252 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.252 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of k in n 1536830198.252 * [misc]backup-simplify: Simplify k into k 1536830198.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.252 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.252 * [misc]backup-simplify: Simplify 2 into 2 1536830198.252 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.252 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.253 * [misc]backup-simplify: Simplify PI into PI 1536830198.253 * [misc]taylor: Taking taylor expansion of n in n 1536830198.253 * [misc]backup-simplify: Simplify 0 into 0 1536830198.253 * [misc]backup-simplify: Simplify 1 into 1 1536830198.253 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.253 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.254 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.254 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.254 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830198.254 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830198.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830198.256 * [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))) 1536830198.257 * [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)))) 1536830198.258 * [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))))) 1536830198.259 * [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)))))) 1536830198.259 * [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)))))) 1536830198.260 * [misc]backup-simplify: Simplify 0 into 0 1536830198.261 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830198.261 * [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)))))) 1536830198.261 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.262 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.262 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.262 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of k in n 1536830198.262 * [misc]backup-simplify: Simplify k into k 1536830198.262 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.262 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.262 * [misc]backup-simplify: Simplify 2 into 2 1536830198.262 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.262 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.262 * [misc]backup-simplify: Simplify PI into PI 1536830198.262 * [misc]taylor: Taking taylor expansion of n in n 1536830198.262 * [misc]backup-simplify: Simplify 0 into 0 1536830198.262 * [misc]backup-simplify: Simplify 1 into 1 1536830198.263 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.263 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.264 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.264 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.264 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830198.264 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830198.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830198.266 * [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))) 1536830198.267 * [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)))) 1536830198.268 * [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))))) 1536830198.269 * [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)))))) 1536830198.269 * [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)))))) 1536830198.271 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830198.272 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830198.275 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830198.276 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830198.276 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830198.276 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.276 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.277 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830198.278 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830198.280 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830198.281 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536830198.281 * [misc]backup-simplify: Simplify (- 0) into 0 1536830198.281 * [misc]backup-simplify: Simplify 0 into 0 1536830198.281 * [misc]backup-simplify: Simplify 0 into 0 1536830198.283 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830198.284 * [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)))))) 1536830198.284 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.284 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.284 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.284 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.284 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of k in n 1536830198.284 * [misc]backup-simplify: Simplify k into k 1536830198.284 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.284 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of 2 in n 1536830198.284 * [misc]backup-simplify: Simplify 2 into 2 1536830198.284 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.284 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.284 * [misc]backup-simplify: Simplify PI into PI 1536830198.284 * [misc]taylor: Taking taylor expansion of n in n 1536830198.284 * [misc]backup-simplify: Simplify 0 into 0 1536830198.285 * [misc]backup-simplify: Simplify 1 into 1 1536830198.285 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.285 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830198.286 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830198.286 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.286 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830198.286 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830198.287 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830198.287 * [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))) 1536830198.288 * [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)))) 1536830198.289 * [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))))) 1536830198.290 * [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)))))) 1536830198.291 * [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)))))) 1536830198.294 * [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)))))))) 1536830198.295 * [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))) 1536830198.295 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1536830198.295 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.295 * [misc]taylor: Taking taylor expansion of k in n 1536830198.295 * [misc]backup-simplify: Simplify k into k 1536830198.295 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.296 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830198.296 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.296 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.296 * [misc]backup-simplify: Simplify -2 into -2 1536830198.296 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.296 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.296 * [misc]backup-simplify: Simplify PI into PI 1536830198.296 * [misc]taylor: Taking taylor expansion of n in n 1536830198.296 * [misc]backup-simplify: Simplify 0 into 0 1536830198.296 * [misc]backup-simplify: Simplify 1 into 1 1536830198.296 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.297 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.297 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830198.297 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.297 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830198.298 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830198.299 * [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))) 1536830198.300 * [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)))) 1536830198.300 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830198.300 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830198.300 * [misc]taylor: Taking taylor expansion of -1 in n 1536830198.300 * [misc]backup-simplify: Simplify -1 into -1 1536830198.300 * [misc]taylor: Taking taylor expansion of k in n 1536830198.300 * [misc]backup-simplify: Simplify k into k 1536830198.300 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830198.300 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830198.300 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830198.300 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830198.301 * [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))) 1536830198.301 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.301 * [misc]taylor: Taking taylor expansion of k in k 1536830198.301 * [misc]backup-simplify: Simplify 0 into 0 1536830198.301 * [misc]backup-simplify: Simplify 1 into 1 1536830198.302 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.302 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.302 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.302 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830198.302 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830198.302 * [misc]taylor: Taking taylor expansion of -2 in k 1536830198.302 * [misc]backup-simplify: Simplify -2 into -2 1536830198.302 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830198.302 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.302 * [misc]backup-simplify: Simplify PI into PI 1536830198.302 * [misc]taylor: Taking taylor expansion of n in k 1536830198.302 * [misc]backup-simplify: Simplify n into n 1536830198.302 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830198.302 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830198.302 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830198.303 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830198.303 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830198.303 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830198.303 * [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))) 1536830198.303 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830198.303 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830198.303 * [misc]taylor: Taking taylor expansion of -1 in k 1536830198.303 * [misc]backup-simplify: Simplify -1 into -1 1536830198.303 * [misc]taylor: Taking taylor expansion of k in k 1536830198.303 * [misc]backup-simplify: Simplify 0 into 0 1536830198.304 * [misc]backup-simplify: Simplify 1 into 1 1536830198.304 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830198.304 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.304 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830198.305 * [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)))) 1536830198.305 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.305 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of k in k 1536830198.305 * [misc]backup-simplify: Simplify 0 into 0 1536830198.305 * [misc]backup-simplify: Simplify 1 into 1 1536830198.305 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830198.305 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830198.305 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.305 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of -2 in k 1536830198.305 * [misc]backup-simplify: Simplify -2 into -2 1536830198.305 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830198.305 * [misc]taylor: Taking taylor expansion of PI in k 1536830198.306 * [misc]backup-simplify: Simplify PI into PI 1536830198.306 * [misc]taylor: Taking taylor expansion of n in k 1536830198.306 * [misc]backup-simplify: Simplify n into n 1536830198.306 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830198.306 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830198.306 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830198.306 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830198.306 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830198.307 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830198.307 * [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))) 1536830198.307 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830198.307 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830198.307 * [misc]taylor: Taking taylor expansion of -1 in k 1536830198.307 * [misc]backup-simplify: Simplify -1 into -1 1536830198.307 * [misc]taylor: Taking taylor expansion of k in k 1536830198.307 * [misc]backup-simplify: Simplify 0 into 0 1536830198.307 * [misc]backup-simplify: Simplify 1 into 1 1536830198.307 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830198.307 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830198.308 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830198.308 * [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)))) 1536830198.308 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830198.308 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.308 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.308 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830198.308 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830198.309 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830198.309 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.309 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.309 * [misc]backup-simplify: Simplify -2 into -2 1536830198.309 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.309 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.309 * [misc]backup-simplify: Simplify PI into PI 1536830198.309 * [misc]taylor: Taking taylor expansion of n in n 1536830198.309 * [misc]backup-simplify: Simplify 0 into 0 1536830198.309 * [misc]backup-simplify: Simplify 1 into 1 1536830198.309 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.309 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.310 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830198.310 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830198.310 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.310 * [misc]taylor: Taking taylor expansion of k in n 1536830198.310 * [misc]backup-simplify: Simplify k into k 1536830198.310 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830198.311 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.311 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830198.312 * [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))) 1536830198.313 * [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)))) 1536830198.314 * [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))))) 1536830198.314 * [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))))) 1536830198.315 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830198.316 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830198.317 * [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))))) 1536830198.317 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.317 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.317 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.317 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.318 * [misc]backup-simplify: Simplify -2 into -2 1536830198.318 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.318 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.318 * [misc]backup-simplify: Simplify PI into PI 1536830198.318 * [misc]taylor: Taking taylor expansion of n in n 1536830198.318 * [misc]backup-simplify: Simplify 0 into 0 1536830198.318 * [misc]backup-simplify: Simplify 1 into 1 1536830198.318 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.318 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.319 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830198.319 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830198.319 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.319 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.319 * [misc]taylor: Taking taylor expansion of k in n 1536830198.319 * [misc]backup-simplify: Simplify k into k 1536830198.319 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.319 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.320 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830198.320 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.320 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830198.320 * [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))) 1536830198.321 * [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)))) 1536830198.321 * [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))))) 1536830198.322 * [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)))))) 1536830198.323 * [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)))))) 1536830198.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830198.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830198.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830198.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830198.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830198.325 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830198.326 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830198.327 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536830198.328 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830198.329 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1536830198.329 * [misc]backup-simplify: Simplify 0 into 0 1536830198.329 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830198.329 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830198.330 * [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))))) 1536830198.330 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830198.330 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830198.330 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830198.330 * [misc]taylor: Taking taylor expansion of -2 in n 1536830198.330 * [misc]backup-simplify: Simplify -2 into -2 1536830198.330 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830198.331 * [misc]taylor: Taking taylor expansion of PI in n 1536830198.331 * [misc]backup-simplify: Simplify PI into PI 1536830198.331 * [misc]taylor: Taking taylor expansion of n in n 1536830198.331 * [misc]backup-simplify: Simplify 0 into 0 1536830198.331 * [misc]backup-simplify: Simplify 1 into 1 1536830198.331 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830198.331 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830198.331 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830198.331 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830198.331 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830198.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.331 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.331 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830198.331 * [misc]taylor: Taking taylor expansion of k in n 1536830198.331 * [misc]backup-simplify: Simplify k into k 1536830198.331 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830198.331 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830198.332 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830198.332 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830198.332 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830198.332 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830198.333 * [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))) 1536830198.333 * [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)))) 1536830198.333 * [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))))) 1536830198.334 * [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)))))) 1536830198.334 * [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)))))) 1536830198.336 * [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))))))))))) 1536830198.337 * * * [misc]progress: simplifying candidates 1536830198.337 * * * * [misc]progress: [ 1 / 128 ] simplifiying candidate # 1536830198.337 * * * * [misc]progress: [ 2 / 128 ] simplifiying candidate # 1536830198.337 * * * * [misc]progress: [ 3 / 128 ] simplifiying candidate # 1536830198.337 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536830198.338 * * [misc]simplify: iters left: 6 (11 enodes) 1536830198.340 * * [misc]simplify: iters left: 5 (21 enodes) 1536830198.349 * * [misc]simplify: iters left: 4 (47 enodes) 1536830198.364 * * [misc]simplify: iters left: 3 (113 enodes) 1536830198.426 * * [misc]simplify: iters left: 2 (328 enodes) 1536830198.913 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536830198.913 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1536830198.913 * * * * [misc]progress: [ 4 / 128 ] simplifiying candidate # 1536830198.914 * * * * [misc]progress: [ 5 / 128 ] simplifiying candidate # 1536830198.914 * [enter]simplify: Simplifying (* PI (* n 2)) 1536830198.915 * * [misc]simplify: iters left: 4 (5 enodes) 1536830198.917 * * [misc]simplify: iters left: 3 (9 enodes) 1536830198.921 * * [misc]simplify: iters left: 2 (15 enodes) 1536830198.927 * * [misc]simplify: iters left: 1 (17 enodes) 1536830198.932 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536830198.932 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1536830198.932 * * * * [misc]progress: [ 6 / 128 ] simplifiying candidate # 1536830198.933 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830198.933 * * [misc]simplify: iters left: 5 (8 enodes) 1536830198.937 * * [misc]simplify: iters left: 4 (12 enodes) 1536830198.942 * * [misc]simplify: iters left: 3 (18 enodes) 1536830198.949 * * [misc]simplify: iters left: 2 (20 enodes) 1536830198.956 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830198.956 * [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)))))) 1536830198.956 * * * * [misc]progress: [ 7 / 128 ] simplifiying candidate # 1536830198.957 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536830198.957 * * [misc]simplify: iters left: 5 (6 enodes) 1536830198.960 * * [misc]simplify: iters left: 4 (8 enodes) 1536830198.963 * * [misc]simplify: iters left: 3 (11 enodes) 1536830198.967 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536830198.967 * [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))))))) 1536830198.967 * * * * [misc]progress: [ 8 / 128 ] simplifiying candidate # 1536830198.967 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536830198.967 * * [misc]simplify: iters left: 5 (6 enodes) 1536830198.970 * * [misc]simplify: iters left: 4 (8 enodes) 1536830198.973 * * [misc]simplify: iters left: 3 (11 enodes) 1536830198.977 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536830198.977 * [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))))))) 1536830198.977 * * * * [misc]progress: [ 9 / 128 ] simplifiying candidate # 1536830198.977 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536830198.977 * * [misc]simplify: iters left: 4 (5 enodes) 1536830198.979 * * [misc]simplify: iters left: 3 (7 enodes) 1536830198.982 * * [misc]simplify: iters left: 2 (10 enodes) 1536830198.985 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536830198.985 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1536830198.986 * * * * [misc]progress: [ 10 / 128 ] simplifiying candidate # 1536830198.986 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830198.987 * * [misc]simplify: iters left: 5 (9 enodes) 1536830198.991 * * [misc]simplify: iters left: 4 (15 enodes) 1536830198.997 * * [misc]simplify: iters left: 3 (21 enodes) 1536830199.004 * * [misc]simplify: iters left: 2 (22 enodes) 1536830199.011 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830199.011 * [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))))))) 1536830199.012 * * * * [misc]progress: [ 11 / 128 ] simplifiying candidate # 1536830199.012 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830199.013 * * [misc]simplify: iters left: 5 (9 enodes) 1536830199.017 * * [misc]simplify: iters left: 4 (15 enodes) 1536830199.022 * * [misc]simplify: iters left: 3 (21 enodes) 1536830199.028 * * [misc]simplify: iters left: 2 (22 enodes) 1536830199.035 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830199.035 * [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))))))) 1536830199.035 * * * * [misc]progress: [ 12 / 128 ] simplifiying candidate # 1536830199.035 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536830199.036 * * [misc]simplify: iters left: 5 (7 enodes) 1536830199.038 * * [misc]simplify: iters left: 4 (9 enodes) 1536830199.041 * * [misc]simplify: iters left: 3 (12 enodes) 1536830199.045 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536830199.045 * [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))))))) 1536830199.045 * * * * [misc]progress: [ 13 / 128 ] simplifiying candidate # 1536830199.045 * * * * [misc]progress: [ 14 / 128 ] simplifiying candidate # 1536830199.045 * * * * [misc]progress: [ 15 / 128 ] simplifiying candidate # 1536830199.045 * * * * [misc]progress: [ 16 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 17 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 18 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 19 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 20 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 21 / 128 ] simplifiying candidate # 1536830199.047 * * * * [misc]progress: [ 22 / 128 ] simplifiying candidate # 1536830199.048 * * * * [misc]progress: [ 23 / 128 ] simplifiying candidate # 1536830199.048 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1536830199.049 * * [misc]simplify: iters left: 6 (14 enodes) 1536830199.055 * * [misc]simplify: iters left: 5 (26 enodes) 1536830199.068 * * [misc]simplify: iters left: 4 (59 enodes) 1536830199.090 * * [misc]simplify: iters left: 3 (172 enodes) 1536830199.216 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1536830199.216 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1536830199.216 * * * * [misc]progress: [ 24 / 128 ] simplifiying candidate # 1536830199.216 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1536830199.217 * * [misc]simplify: iters left: 6 (14 enodes) 1536830199.221 * * [misc]simplify: iters left: 5 (26 enodes) 1536830199.228 * * [misc]simplify: iters left: 4 (59 enodes) 1536830199.262 * * [misc]simplify: iters left: 3 (172 enodes) 1536830199.396 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k))) 1536830199.396 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* PI 2) n)) (log (sqrt k)))))) 1536830199.396 * * * * [misc]progress: [ 25 / 128 ] simplifiying candidate # 1536830199.396 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830199.397 * * [misc]simplify: iters left: 6 (14 enodes) 1536830199.400 * * [misc]simplify: iters left: 5 (24 enodes) 1536830199.407 * * [misc]simplify: iters left: 4 (46 enodes) 1536830199.424 * * [misc]simplify: iters left: 3 (105 enodes) 1536830199.495 * * [misc]simplify: iters left: 2 (354 enodes) 1536830200.082 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k))) 1536830200.082 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* n (* PI 2))) (log (sqrt k)))))) 1536830200.082 * * * * [misc]progress: [ 26 / 128 ] simplifiying candidate # 1536830200.082 * * * * [misc]progress: [ 27 / 128 ] simplifiying candidate # 1536830200.082 * * * * [misc]progress: [ 28 / 128 ] simplifiying candidate # 1536830200.083 * [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))))) 1536830200.085 * * [misc]simplify: iters left: 6 (16 enodes) 1536830200.095 * * [misc]simplify: iters left: 5 (31 enodes) 1536830200.112 * * [misc]simplify: iters left: 4 (70 enodes) 1536830200.147 * * [misc]simplify: iters left: 3 (130 enodes) 1536830200.206 * * [misc]simplify: iters left: 2 (206 enodes) 1536830200.321 * * [misc]simplify: iters left: 1 (288 enodes) 1536830200.444 * [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))))) 1536830200.444 * [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)))))))) 1536830200.444 * * * * [misc]progress: [ 29 / 128 ] simplifiying candidate # 1536830200.444 * * * * [misc]progress: [ 30 / 128 ] simplifiying candidate # 1536830200.444 * * * * [misc]progress: [ 31 / 128 ] simplifiying candidate # 1536830200.444 * * * * [misc]progress: [ 32 / 128 ] simplifiying candidate # 1536830200.444 * * * * [misc]progress: [ 33 / 128 ] simplifiying candidate # 1536830200.444 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1536830200.445 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.447 * * [misc]simplify: iters left: 5 (19 enodes) 1536830200.451 * * [misc]simplify: iters left: 4 (27 enodes) 1536830200.455 * * [misc]simplify: iters left: 3 (29 enodes) 1536830200.461 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1536830200.461 * [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))))))) 1536830200.461 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830200.462 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.464 * * [misc]simplify: iters left: 5 (18 enodes) 1536830200.468 * * [misc]simplify: iters left: 4 (24 enodes) 1536830200.474 * * [misc]simplify: iters left: 3 (25 enodes) 1536830200.478 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830200.478 * [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))))))) 1536830200.478 * * * * [misc]progress: [ 34 / 128 ] simplifiying candidate # 1536830200.479 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1536830200.479 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.482 * * [misc]simplify: iters left: 5 (19 enodes) 1536830200.486 * * [misc]simplify: iters left: 4 (27 enodes) 1536830200.490 * * [misc]simplify: iters left: 3 (29 enodes) 1536830200.495 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1536830200.495 * [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))))))) 1536830200.496 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830200.496 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.499 * * [misc]simplify: iters left: 5 (18 enodes) 1536830200.502 * * [misc]simplify: iters left: 4 (24 enodes) 1536830200.506 * * [misc]simplify: iters left: 3 (25 enodes) 1536830200.511 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830200.511 * [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))))))) 1536830200.511 * * * * [misc]progress: [ 35 / 128 ] simplifiying candidate # 1536830200.511 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1536830200.512 * * [misc]simplify: iters left: 6 (11 enodes) 1536830200.514 * * [misc]simplify: iters left: 5 (15 enodes) 1536830200.518 * * [misc]simplify: iters left: 4 (20 enodes) 1536830200.524 * * [misc]simplify: iters left: 3 (21 enodes) 1536830200.532 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1536830200.532 * [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))))))) 1536830200.533 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830200.534 * * [misc]simplify: iters left: 6 (11 enodes) 1536830200.538 * * [misc]simplify: iters left: 5 (14 enodes) 1536830200.543 * * [misc]simplify: iters left: 4 (17 enodes) 1536830200.549 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830200.549 * [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))))))) 1536830200.549 * * * * [misc]progress: [ 36 / 128 ] simplifiying candidate # 1536830200.549 * [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)))))) 1536830200.551 * * [misc]simplify: iters left: 6 (16 enodes) 1536830200.561 * * [misc]simplify: iters left: 5 (28 enodes) 1536830200.573 * * [misc]simplify: iters left: 4 (46 enodes) 1536830200.588 * * [misc]simplify: iters left: 3 (50 enodes) 1536830200.603 * * [misc]simplify: iters left: 2 (53 enodes) 1536830200.621 * [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)))))) 1536830200.621 * [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)))))))) 1536830200.622 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.623 * * [misc]simplify: iters left: 6 (14 enodes) 1536830200.625 * * [misc]simplify: iters left: 5 (20 enodes) 1536830200.629 * * [misc]simplify: iters left: 4 (29 enodes) 1536830200.634 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.639 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.639 * [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)))))))) 1536830200.639 * * * * [misc]progress: [ 37 / 128 ] simplifiying candidate # 1536830200.639 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.640 * * [misc]simplify: iters left: 6 (15 enodes) 1536830200.646 * * [misc]simplify: iters left: 5 (23 enodes) 1536830200.656 * * [misc]simplify: iters left: 4 (34 enodes) 1536830200.670 * * [misc]simplify: iters left: 3 (36 enodes) 1536830200.683 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.683 * [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)))))))) 1536830200.683 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.684 * * [misc]simplify: iters left: 6 (14 enodes) 1536830200.690 * * [misc]simplify: iters left: 5 (20 enodes) 1536830200.695 * * [misc]simplify: iters left: 4 (29 enodes) 1536830200.699 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.704 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.704 * [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)))))))) 1536830200.704 * * * * [misc]progress: [ 38 / 128 ] simplifiying candidate # 1536830200.704 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1536830200.705 * * [misc]simplify: iters left: 6 (6 enodes) 1536830200.706 * * [misc]simplify: iters left: 5 (10 enodes) 1536830200.708 * * [misc]simplify: iters left: 4 (16 enodes) 1536830200.711 * * [misc]simplify: iters left: 3 (18 enodes) 1536830200.713 * * [misc]simplify: iters left: 2 (23 enodes) 1536830200.716 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830200.716 * [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))))))) 1536830200.716 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830200.717 * * [misc]simplify: iters left: 6 (13 enodes) 1536830200.720 * * [misc]simplify: iters left: 5 (19 enodes) 1536830200.725 * * [misc]simplify: iters left: 4 (28 enodes) 1536830200.734 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.744 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536830200.744 * [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))))))) 1536830200.744 * * * * [misc]progress: [ 39 / 128 ] simplifiying candidate # 1536830200.744 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1536830200.745 * * [misc]simplify: iters left: 6 (11 enodes) 1536830200.749 * * [misc]simplify: iters left: 5 (16 enodes) 1536830200.756 * * [misc]simplify: iters left: 4 (22 enodes) 1536830200.763 * * [misc]simplify: iters left: 3 (23 enodes) 1536830200.772 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1536830200.772 * [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))))))) 1536830200.773 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830200.775 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.780 * * [misc]simplify: iters left: 5 (18 enodes) 1536830200.787 * * [misc]simplify: iters left: 4 (24 enodes) 1536830200.793 * * [misc]simplify: iters left: 3 (25 enodes) 1536830200.797 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830200.797 * [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))))))) 1536830200.797 * * * * [misc]progress: [ 40 / 128 ] simplifiying candidate # 1536830200.797 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1536830200.798 * * [misc]simplify: iters left: 6 (11 enodes) 1536830200.800 * * [misc]simplify: iters left: 5 (16 enodes) 1536830200.803 * * [misc]simplify: iters left: 4 (22 enodes) 1536830200.807 * * [misc]simplify: iters left: 3 (23 enodes) 1536830200.810 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1536830200.810 * [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))))))) 1536830200.811 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830200.811 * * [misc]simplify: iters left: 6 (12 enodes) 1536830200.814 * * [misc]simplify: iters left: 5 (18 enodes) 1536830200.817 * * [misc]simplify: iters left: 4 (24 enodes) 1536830200.821 * * [misc]simplify: iters left: 3 (25 enodes) 1536830200.825 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830200.825 * [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))))))) 1536830200.825 * * * * [misc]progress: [ 41 / 128 ] simplifiying candidate # 1536830200.826 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1536830200.826 * * [misc]simplify: iters left: 6 (10 enodes) 1536830200.828 * * [misc]simplify: iters left: 5 (12 enodes) 1536830200.830 * * [misc]simplify: iters left: 4 (15 enodes) 1536830200.833 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1536830200.833 * [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))))))) 1536830200.833 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830200.834 * * [misc]simplify: iters left: 6 (11 enodes) 1536830200.836 * * [misc]simplify: iters left: 5 (14 enodes) 1536830200.838 * * [misc]simplify: iters left: 4 (17 enodes) 1536830200.841 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830200.841 * [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))))))) 1536830200.841 * * * * [misc]progress: [ 42 / 128 ] simplifiying candidate # 1536830200.841 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830200.842 * * [misc]simplify: iters left: 6 (15 enodes) 1536830200.847 * * [misc]simplify: iters left: 5 (23 enodes) 1536830200.852 * * [misc]simplify: iters left: 4 (32 enodes) 1536830200.857 * * [misc]simplify: iters left: 3 (34 enodes) 1536830200.863 * [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)))))) 1536830200.863 * [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)))))))) 1536830200.863 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.865 * * [misc]simplify: iters left: 6 (14 enodes) 1536830200.871 * * [misc]simplify: iters left: 5 (20 enodes) 1536830200.879 * * [misc]simplify: iters left: 4 (29 enodes) 1536830200.888 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.898 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.898 * [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)))))))) 1536830200.898 * * * * [misc]progress: [ 43 / 128 ] simplifiying candidate # 1536830200.899 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.900 * * [misc]simplify: iters left: 6 (14 enodes) 1536830200.906 * * [misc]simplify: iters left: 5 (20 enodes) 1536830200.914 * * [misc]simplify: iters left: 4 (29 enodes) 1536830200.923 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.933 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.933 * [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)))))))) 1536830200.933 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830200.934 * * [misc]simplify: iters left: 6 (14 enodes) 1536830200.940 * * [misc]simplify: iters left: 5 (20 enodes) 1536830200.948 * * [misc]simplify: iters left: 4 (29 enodes) 1536830200.959 * * [misc]simplify: iters left: 3 (30 enodes) 1536830200.969 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830200.969 * [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)))))))) 1536830200.969 * * * * [misc]progress: [ 44 / 128 ] simplifiying candidate # 1536830200.969 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1536830200.970 * * [misc]simplify: iters left: 4 (5 enodes) 1536830200.971 * * [misc]simplify: iters left: 3 (7 enodes) 1536830200.974 * * [misc]simplify: iters left: 2 (9 enodes) 1536830200.976 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830200.977 * [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))))))) 1536830200.977 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830200.978 * * [misc]simplify: iters left: 6 (13 enodes) 1536830200.983 * * [misc]simplify: iters left: 5 (19 enodes) 1536830200.991 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.000 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.010 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536830201.010 * [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))))))) 1536830201.010 * * * * [misc]progress: [ 45 / 128 ] simplifiying candidate # 1536830201.010 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1536830201.011 * * [misc]simplify: iters left: 6 (9 enodes) 1536830201.015 * * [misc]simplify: iters left: 5 (16 enodes) 1536830201.021 * * [misc]simplify: iters left: 4 (22 enodes) 1536830201.028 * * [misc]simplify: iters left: 3 (23 enodes) 1536830201.036 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1536830201.036 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536830201.036 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.037 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.042 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.049 * * [misc]simplify: iters left: 4 (23 enodes) 1536830201.056 * * [misc]simplify: iters left: 3 (24 enodes) 1536830201.064 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536830201.064 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1536830201.065 * * * * [misc]progress: [ 46 / 128 ] simplifiying candidate # 1536830201.065 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1536830201.066 * * [misc]simplify: iters left: 6 (9 enodes) 1536830201.070 * * [misc]simplify: iters left: 5 (16 enodes) 1536830201.074 * * [misc]simplify: iters left: 4 (22 enodes) 1536830201.077 * * [misc]simplify: iters left: 3 (23 enodes) 1536830201.082 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1536830201.082 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536830201.082 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.083 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.085 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.089 * * [misc]simplify: iters left: 4 (23 enodes) 1536830201.092 * * [misc]simplify: iters left: 3 (24 enodes) 1536830201.097 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536830201.097 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1536830201.097 * * * * [misc]progress: [ 47 / 128 ] simplifiying candidate # 1536830201.097 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1536830201.097 * * [misc]simplify: iters left: 6 (9 enodes) 1536830201.099 * * [misc]simplify: iters left: 5 (13 enodes) 1536830201.101 * * [misc]simplify: iters left: 4 (16 enodes) 1536830201.104 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1536830201.104 * [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))))))) 1536830201.104 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.105 * * [misc]simplify: iters left: 6 (10 enodes) 1536830201.106 * * [misc]simplify: iters left: 5 (13 enodes) 1536830201.109 * * [misc]simplify: iters left: 4 (16 enodes) 1536830201.111 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.111 * [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))))))) 1536830201.111 * * * * [misc]progress: [ 48 / 128 ] simplifiying candidate # 1536830201.112 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830201.112 * * [misc]simplify: iters left: 6 (14 enodes) 1536830201.115 * * [misc]simplify: iters left: 5 (24 enodes) 1536830201.120 * * [misc]simplify: iters left: 4 (33 enodes) 1536830201.125 * * [misc]simplify: iters left: 3 (34 enodes) 1536830201.135 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1536830201.135 * [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)))))))) 1536830201.135 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.136 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.142 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.151 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.160 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.172 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.172 * [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)))))))) 1536830201.172 * * * * [misc]progress: [ 49 / 128 ] simplifiying candidate # 1536830201.173 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.174 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.179 * * [misc]simplify: iters left: 5 (21 enodes) 1536830201.187 * * [misc]simplify: iters left: 4 (30 enodes) 1536830201.197 * * [misc]simplify: iters left: 3 (31 enodes) 1536830201.205 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536830201.205 * [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)))))))) 1536830201.206 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.207 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.209 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.213 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.218 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.223 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.223 * [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)))))))) 1536830201.223 * * * * [misc]progress: [ 50 / 128 ] simplifiying candidate # 1536830201.223 * [enter]simplify: Simplifying (/ 1 1) 1536830201.223 * * [misc]simplify: iters left: 2 (2 enodes) 1536830201.224 * * [misc]simplify: iters left: 1 (4 enodes) 1536830201.224 * [exit]simplify: Simplified to 1 1536830201.224 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536830201.224 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.225 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.227 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.231 * * [misc]simplify: iters left: 4 (27 enodes) 1536830201.240 * * [misc]simplify: iters left: 3 (29 enodes) 1536830201.250 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.250 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536830201.250 * * * * [misc]progress: [ 51 / 128 ] simplifiying candidate # 1536830201.250 * * * * [misc]progress: [ 52 / 128 ] simplifiying candidate # 1536830201.250 * * * * [misc]progress: [ 53 / 128 ] simplifiying candidate # 1536830201.250 * * * * [misc]progress: [ 54 / 128 ] simplifiying candidate # 1536830201.250 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830201.251 * * [misc]simplify: iters left: 5 (9 enodes) 1536830201.255 * * [misc]simplify: iters left: 4 (15 enodes) 1536830201.261 * * [misc]simplify: iters left: 3 (21 enodes) 1536830201.264 * * [misc]simplify: iters left: 2 (22 enodes) 1536830201.269 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830201.269 * [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)))))) 1536830201.269 * * * * [misc]progress: [ 55 / 128 ] simplifiying candidate # 1536830201.269 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830201.270 * * [misc]simplify: iters left: 5 (9 enodes) 1536830201.272 * * [misc]simplify: iters left: 4 (15 enodes) 1536830201.275 * * [misc]simplify: iters left: 3 (21 enodes) 1536830201.278 * * [misc]simplify: iters left: 2 (22 enodes) 1536830201.281 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830201.281 * [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)))))) 1536830201.282 * * * * [misc]progress: [ 56 / 128 ] simplifiying candidate # 1536830201.282 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536830201.282 * * [misc]simplify: iters left: 5 (8 enodes) 1536830201.284 * * [misc]simplify: iters left: 4 (11 enodes) 1536830201.286 * * [misc]simplify: iters left: 3 (14 enodes) 1536830201.288 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536830201.288 * [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)))))) 1536830201.288 * * * * [misc]progress: [ 57 / 128 ] simplifiying candidate # 1536830201.288 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.289 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.291 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.294 * * [misc]simplify: iters left: 4 (26 enodes) 1536830201.298 * * [misc]simplify: iters left: 3 (27 enodes) 1536830201.303 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536830201.303 * [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))))))) 1536830201.303 * * * * [misc]progress: [ 58 / 128 ] simplifiying candidate # 1536830201.303 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.304 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.306 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.310 * * [misc]simplify: iters left: 4 (26 enodes) 1536830201.314 * * [misc]simplify: iters left: 3 (27 enodes) 1536830201.318 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536830201.318 * [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))))))) 1536830201.318 * * * * [misc]progress: [ 59 / 128 ] simplifiying candidate # 1536830201.318 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830201.319 * * [misc]simplify: iters left: 5 (10 enodes) 1536830201.321 * * [misc]simplify: iters left: 4 (16 enodes) 1536830201.324 * * [misc]simplify: iters left: 3 (25 enodes) 1536830201.329 * * [misc]simplify: iters left: 2 (26 enodes) 1536830201.338 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830201.338 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536830201.338 * * * * [misc]progress: [ 60 / 128 ] simplifiying candidate # 1536830201.338 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830201.341 * * [misc]simplify: iters left: 4 (4 enodes) 1536830201.342 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830201.342 * [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)))))) 1536830201.342 * * * * [misc]progress: [ 61 / 128 ] simplifiying candidate # 1536830201.343 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536830201.343 * * [misc]simplify: iters left: 2 (3 enodes) 1536830201.344 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830201.344 * [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)))))) 1536830201.344 * * * * [misc]progress: [ 62 / 128 ] simplifiying candidate # 1536830201.344 * * * * [misc]progress: [ 63 / 128 ] simplifiying candidate # 1536830201.345 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830201.345 * * [misc]simplify: iters left: 5 (8 enodes) 1536830201.349 * * [misc]simplify: iters left: 4 (12 enodes) 1536830201.354 * * [misc]simplify: iters left: 3 (18 enodes) 1536830201.360 * * [misc]simplify: iters left: 2 (20 enodes) 1536830201.367 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830201.367 * [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))))) 1536830201.367 * * * * [misc]progress: [ 64 / 128 ] simplifiying candidate # 1536830201.367 * * * * [misc]progress: [ 65 / 128 ] simplifiying candidate # 1536830201.367 * * * * [misc]progress: [ 66 / 128 ] simplifiying candidate # 1536830201.367 * * * * [misc]progress: [ 67 / 128 ] simplifiying candidate # 1536830201.367 * * * * [misc]progress: [ 68 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 69 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 70 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 71 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 72 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 73 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 74 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 75 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 76 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 77 / 128 ] simplifiying candidate # 1536830201.368 * * * * [misc]progress: [ 78 / 128 ] simplifiying candidate # 1536830201.368 * [enter]simplify: Simplifying (- 1) 1536830201.369 * * [misc]simplify: iters left: 2 (2 enodes) 1536830201.371 * * [misc]simplify: iters left: 1 (5 enodes) 1536830201.372 * [exit]simplify: Simplified to -1 1536830201.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1536830201.372 * * * * [misc]progress: [ 79 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 80 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 81 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 82 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 83 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 84 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 85 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 86 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 87 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 88 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 89 / 128 ] simplifiying candidate # 1536830201.372 * * * * [misc]progress: [ 90 / 128 ] simplifiying candidate # 1536830201.373 * * * * [misc]progress: [ 91 / 128 ] simplifiying candidate # 1536830201.373 * * * * [misc]progress: [ 92 / 128 ] simplifiying candidate # 1536830201.373 * * * * [misc]progress: [ 93 / 128 ] simplifiying candidate # 1536830201.373 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.374 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.380 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.387 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.396 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.406 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.406 * [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))))))) 1536830201.406 * * * * [misc]progress: [ 94 / 128 ] simplifiying candidate # 1536830201.407 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.408 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.414 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.422 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.432 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.442 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.442 * [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))))))) 1536830201.442 * * * * [misc]progress: [ 95 / 128 ] simplifiying candidate # 1536830201.443 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.444 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.449 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.456 * * [misc]simplify: iters left: 4 (24 enodes) 1536830201.464 * * [misc]simplify: iters left: 3 (25 enodes) 1536830201.473 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830201.473 * [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)))))) 1536830201.473 * * * * [misc]progress: [ 96 / 128 ] simplifiying candidate # 1536830201.473 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.477 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.483 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.489 * * [misc]simplify: iters left: 4 (24 enodes) 1536830201.499 * * [misc]simplify: iters left: 3 (25 enodes) 1536830201.508 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830201.508 * [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)))))) 1536830201.508 * * * * [misc]progress: [ 97 / 128 ] simplifiying candidate # 1536830201.508 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.509 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.513 * * [misc]simplify: iters left: 5 (14 enodes) 1536830201.518 * * [misc]simplify: iters left: 4 (17 enodes) 1536830201.524 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.524 * [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)))))) 1536830201.524 * * * * [misc]progress: [ 98 / 128 ] simplifiying candidate # 1536830201.525 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.526 * * [misc]simplify: iters left: 6 (14 enodes) 1536830201.532 * * [misc]simplify: iters left: 5 (20 enodes) 1536830201.540 * * [misc]simplify: iters left: 4 (29 enodes) 1536830201.549 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.560 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830201.560 * [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))))))) 1536830201.560 * * * * [misc]progress: [ 99 / 128 ] simplifiying candidate # 1536830201.560 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.562 * * [misc]simplify: iters left: 6 (14 enodes) 1536830201.567 * * [misc]simplify: iters left: 5 (20 enodes) 1536830201.576 * * [misc]simplify: iters left: 4 (29 enodes) 1536830201.586 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.596 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830201.596 * [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))))))) 1536830201.596 * * * * [misc]progress: [ 100 / 128 ] simplifiying candidate # 1536830201.596 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.598 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.601 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.607 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.611 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.616 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536830201.616 * [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)))))) 1536830201.616 * * * * [misc]progress: [ 101 / 128 ] simplifiying candidate # 1536830201.616 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.617 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.620 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.623 * * [misc]simplify: iters left: 4 (24 enodes) 1536830201.627 * * [misc]simplify: iters left: 3 (25 enodes) 1536830201.631 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830201.631 * [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)))))) 1536830201.631 * * * * [misc]progress: [ 102 / 128 ] simplifiying candidate # 1536830201.631 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.632 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.634 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.638 * * [misc]simplify: iters left: 4 (24 enodes) 1536830201.642 * * [misc]simplify: iters left: 3 (25 enodes) 1536830201.646 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536830201.646 * [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)))))) 1536830201.646 * * * * [misc]progress: [ 103 / 128 ] simplifiying candidate # 1536830201.646 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.647 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.649 * * [misc]simplify: iters left: 5 (14 enodes) 1536830201.651 * * [misc]simplify: iters left: 4 (17 enodes) 1536830201.654 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.654 * [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)))))) 1536830201.654 * * * * [misc]progress: [ 104 / 128 ] simplifiying candidate # 1536830201.654 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.655 * * [misc]simplify: iters left: 6 (14 enodes) 1536830201.658 * * [misc]simplify: iters left: 5 (20 enodes) 1536830201.662 * * [misc]simplify: iters left: 4 (29 enodes) 1536830201.666 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.673 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830201.673 * [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))))))) 1536830201.673 * * * * [misc]progress: [ 105 / 128 ] simplifiying candidate # 1536830201.673 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.674 * * [misc]simplify: iters left: 6 (14 enodes) 1536830201.677 * * [misc]simplify: iters left: 5 (20 enodes) 1536830201.681 * * [misc]simplify: iters left: 4 (29 enodes) 1536830201.685 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.691 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536830201.691 * [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))))))) 1536830201.691 * * * * [misc]progress: [ 106 / 128 ] simplifiying candidate # 1536830201.691 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.692 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.697 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.705 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.714 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.724 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536830201.724 * [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)))))) 1536830201.724 * * * * [misc]progress: [ 107 / 128 ] simplifiying candidate # 1536830201.724 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.725 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.730 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.736 * * [misc]simplify: iters left: 4 (23 enodes) 1536830201.744 * * [misc]simplify: iters left: 3 (24 enodes) 1536830201.752 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536830201.752 * [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)))))) 1536830201.752 * * * * [misc]progress: [ 108 / 128 ] simplifiying candidate # 1536830201.752 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536830201.753 * * [misc]simplify: iters left: 6 (11 enodes) 1536830201.758 * * [misc]simplify: iters left: 5 (17 enodes) 1536830201.765 * * [misc]simplify: iters left: 4 (23 enodes) 1536830201.772 * * [misc]simplify: iters left: 3 (24 enodes) 1536830201.780 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536830201.780 * [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)))))) 1536830201.780 * * * * [misc]progress: [ 109 / 128 ] simplifiying candidate # 1536830201.783 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.784 * * [misc]simplify: iters left: 6 (10 enodes) 1536830201.788 * * [misc]simplify: iters left: 5 (13 enodes) 1536830201.793 * * [misc]simplify: iters left: 4 (16 enodes) 1536830201.799 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830201.799 * [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)))))) 1536830201.799 * * * * [misc]progress: [ 110 / 128 ] simplifiying candidate # 1536830201.799 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.801 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.806 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.814 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.823 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.834 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.834 * [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))))))) 1536830201.834 * * * * [misc]progress: [ 111 / 128 ] simplifiying candidate # 1536830201.834 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830201.835 * * [misc]simplify: iters left: 6 (13 enodes) 1536830201.841 * * [misc]simplify: iters left: 5 (19 enodes) 1536830201.849 * * [misc]simplify: iters left: 4 (28 enodes) 1536830201.858 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.869 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536830201.869 * [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))))))) 1536830201.869 * * * * [misc]progress: [ 112 / 128 ] simplifiying candidate # 1536830201.869 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.870 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.875 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.883 * * [misc]simplify: iters left: 4 (27 enodes) 1536830201.892 * * [misc]simplify: iters left: 3 (29 enodes) 1536830201.901 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830201.901 * * * * [misc]progress: [ 113 / 128 ] simplifiying candidate # 1536830201.902 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.903 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.908 * * [misc]simplify: iters left: 5 (18 enodes) 1536830201.918 * * [misc]simplify: iters left: 4 (27 enodes) 1536830201.927 * * [misc]simplify: iters left: 3 (29 enodes) 1536830201.937 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.937 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830201.938 * * * * [misc]progress: [ 114 / 128 ] simplifiying candidate # 1536830201.938 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830201.939 * * [misc]simplify: iters left: 6 (12 enodes) 1536830201.944 * * [misc]simplify: iters left: 5 (20 enodes) 1536830201.952 * * [misc]simplify: iters left: 4 (29 enodes) 1536830201.962 * * [misc]simplify: iters left: 3 (30 enodes) 1536830201.971 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536830201.971 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1536830201.971 * * * * [misc]progress: [ 115 / 128 ] simplifiying candidate # 1536830201.972 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830201.972 * * [misc]simplify: iters left: 5 (8 enodes) 1536830201.976 * * [misc]simplify: iters left: 4 (12 enodes) 1536830201.981 * * [misc]simplify: iters left: 3 (18 enodes) 1536830201.987 * * [misc]simplify: iters left: 2 (20 enodes) 1536830201.994 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830201.994 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1536830201.995 * * * * [misc]progress: [ 116 / 128 ] simplifiying candidate # 1536830201.995 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830201.996 * * [misc]simplify: iters left: 5 (10 enodes) 1536830202.000 * * [misc]simplify: iters left: 4 (16 enodes) 1536830202.007 * * [misc]simplify: iters left: 3 (25 enodes) 1536830202.016 * * [misc]simplify: iters left: 2 (26 enodes) 1536830202.024 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830202.024 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536830202.024 * * * * [misc]progress: [ 117 / 128 ] simplifiying candidate # 1536830202.025 * [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))))) 1536830202.028 * * [misc]simplify: iters left: 6 (37 enodes) 1536830202.045 * * [misc]simplify: iters left: 5 (108 enodes) 1536830202.112 * * [misc]simplify: iters left: 4 (368 enodes) 1536830202.833 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1536830202.834 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2))))))))) 1536830202.834 * * * * [misc]progress: [ 118 / 128 ] simplifiying candidate # 1536830202.834 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536830202.836 * * [misc]simplify: iters left: 6 (15 enodes) 1536830202.845 * * [misc]simplify: iters left: 5 (33 enodes) 1536830202.861 * * [misc]simplify: iters left: 4 (64 enodes) 1536830202.904 * * [misc]simplify: iters left: 3 (179 enodes) 1536830203.094 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1536830203.094 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))))) 1536830203.094 * * * * [misc]progress: [ 119 / 128 ] simplifiying candidate # 1536830203.095 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536830203.096 * * [misc]simplify: iters left: 6 (15 enodes) 1536830203.105 * * [misc]simplify: iters left: 5 (30 enodes) 1536830203.127 * * [misc]simplify: iters left: 4 (65 enodes) 1536830203.161 * * [misc]simplify: iters left: 3 (208 enodes) 1536830203.415 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1536830203.415 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))))) 1536830203.415 * * * * [misc]progress: [ 120 / 128 ] simplifiying candidate # 1536830203.415 * [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))))))))))) 1536830203.415 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830203.415 * * * * [misc]progress: [ 121 / 128 ] simplifiying candidate # 1536830203.416 * [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)))))))))))) 1536830203.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830203.416 * * * * [misc]progress: [ 122 / 128 ] simplifiying candidate # 1536830203.416 * [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)))))))))))) 1536830203.416 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830203.416 * * * * [misc]progress: [ 123 / 128 ] simplifiying candidate # 1536830203.416 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830203.417 * * [misc]simplify: iters left: 4 (5 enodes) 1536830203.420 * * [misc]simplify: iters left: 3 (9 enodes) 1536830203.424 * * [misc]simplify: iters left: 2 (15 enodes) 1536830203.429 * * [misc]simplify: iters left: 1 (17 enodes) 1536830203.435 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830203.435 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536830203.435 * * * * [misc]progress: [ 124 / 128 ] simplifiying candidate # 1536830203.435 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830203.436 * * [misc]simplify: iters left: 4 (5 enodes) 1536830203.438 * * [misc]simplify: iters left: 3 (9 enodes) 1536830203.443 * * [misc]simplify: iters left: 2 (15 enodes) 1536830203.448 * * [misc]simplify: iters left: 1 (17 enodes) 1536830203.454 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830203.454 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536830203.454 * * * * [misc]progress: [ 125 / 128 ] simplifiying candidate # 1536830203.454 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830203.454 * * [misc]simplify: iters left: 4 (5 enodes) 1536830203.457 * * [misc]simplify: iters left: 3 (9 enodes) 1536830203.461 * * [misc]simplify: iters left: 2 (15 enodes) 1536830203.466 * * [misc]simplify: iters left: 1 (17 enodes) 1536830203.472 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830203.472 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536830203.472 * * * * [misc]progress: [ 126 / 128 ] simplifiying candidate # 1536830203.472 * [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))))))))))))) 1536830203.472 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830203.472 * * * * [misc]progress: [ 127 / 128 ] simplifiying candidate # 1536830203.472 * [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)))))))) 1536830203.473 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830203.473 * * * * [misc]progress: [ 128 / 128 ] simplifiying candidate # 1536830203.473 * [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))))))))))) 1536830203.473 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830203.473 * * * [misc]progress: adding candidates to table 1536830206.513 * * [misc]progress: iteration 3 / 4 1536830206.514 * * * [misc]progress: picking best candidate 1536830206.624 * * * * [misc]pick: Picked # 1536830206.625 * * * [misc]progress: localizing error 1536830206.638 * * * [misc]progress: generating rewritten candidates 1536830206.638 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1536830206.665 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) 1536830206.685 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1536830206.776 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1536830206.956 * * * [misc]progress: generating series expansions 1536830206.956 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1536830206.956 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536830206.956 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536830206.957 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830206.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.957 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830206.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.957 * [misc]taylor: Taking taylor expansion of k in k 1536830206.957 * [misc]backup-simplify: Simplify 0 into 0 1536830206.957 * [misc]backup-simplify: Simplify 1 into 1 1536830206.957 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of 2 in k 1536830206.957 * [misc]backup-simplify: Simplify 2 into 2 1536830206.957 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830206.957 * [misc]taylor: Taking taylor expansion of n in k 1536830206.957 * [misc]backup-simplify: Simplify n into n 1536830206.957 * [misc]taylor: Taking taylor expansion of PI in k 1536830206.957 * [misc]backup-simplify: Simplify PI into PI 1536830206.957 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830206.957 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830206.958 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830206.958 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830206.958 * [misc]backup-simplify: Simplify (- 0) into 0 1536830206.958 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830206.958 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830206.959 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830206.959 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830206.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.959 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830206.959 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.959 * [misc]taylor: Taking taylor expansion of k in n 1536830206.959 * [misc]backup-simplify: Simplify k into k 1536830206.959 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of 2 in n 1536830206.959 * [misc]backup-simplify: Simplify 2 into 2 1536830206.959 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830206.959 * [misc]taylor: Taking taylor expansion of n in n 1536830206.959 * [misc]backup-simplify: Simplify 0 into 0 1536830206.959 * [misc]backup-simplify: Simplify 1 into 1 1536830206.959 * [misc]taylor: Taking taylor expansion of PI in n 1536830206.959 * [misc]backup-simplify: Simplify PI into PI 1536830206.960 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830206.960 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830206.961 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830206.962 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830206.962 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830206.962 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830206.962 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830206.963 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830206.963 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830206.964 * [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)))) 1536830206.965 * [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))))) 1536830206.965 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830206.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.965 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830206.965 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.965 * [misc]taylor: Taking taylor expansion of k in n 1536830206.965 * [misc]backup-simplify: Simplify k into k 1536830206.965 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830206.965 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830206.966 * [misc]taylor: Taking taylor expansion of 2 in n 1536830206.966 * [misc]backup-simplify: Simplify 2 into 2 1536830206.966 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830206.966 * [misc]taylor: Taking taylor expansion of n in n 1536830206.966 * [misc]backup-simplify: Simplify 0 into 0 1536830206.966 * [misc]backup-simplify: Simplify 1 into 1 1536830206.966 * [misc]taylor: Taking taylor expansion of PI in n 1536830206.966 * [misc]backup-simplify: Simplify PI into PI 1536830206.966 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830206.966 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830206.967 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830206.968 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830206.968 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830206.968 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830206.969 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830206.969 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830206.969 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830206.970 * [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)))) 1536830206.971 * [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))))) 1536830206.971 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536830206.971 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536830206.971 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830206.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830206.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.971 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830206.971 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830206.971 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830206.971 * [misc]taylor: Taking taylor expansion of k in k 1536830206.971 * [misc]backup-simplify: Simplify 0 into 0 1536830206.971 * [misc]backup-simplify: Simplify 1 into 1 1536830206.971 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536830206.971 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830206.972 * [misc]taylor: Taking taylor expansion of n in k 1536830206.972 * [misc]backup-simplify: Simplify n into n 1536830206.972 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830206.972 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830206.972 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830206.972 * [misc]taylor: Taking taylor expansion of 2 in k 1536830206.972 * [misc]backup-simplify: Simplify 2 into 2 1536830206.972 * [misc]taylor: Taking taylor expansion of PI in k 1536830206.972 * [misc]backup-simplify: Simplify PI into PI 1536830206.972 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830206.973 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830206.973 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830206.973 * [misc]backup-simplify: Simplify (- 0) into 0 1536830206.973 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830206.974 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830206.974 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536830206.975 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830206.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536830206.977 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830206.978 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830206.982 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830206.982 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536830206.982 * [misc]backup-simplify: Simplify (- 0) into 0 1536830206.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830206.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830206.984 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830206.986 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830206.986 * [misc]taylor: Taking taylor expansion of 0 in k 1536830206.986 * [misc]backup-simplify: Simplify 0 into 0 1536830206.986 * [misc]backup-simplify: Simplify 0 into 0 1536830206.987 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536830206.988 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830206.991 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830206.991 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830206.991 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830206.992 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830206.992 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830206.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536830206.995 * [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))))))) 1536830206.996 * [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))))))) 1536830206.997 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830206.998 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830207.002 * [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 1536830207.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536830207.002 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.002 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.003 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.003 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830207.005 * [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 1536830207.005 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.005 * [misc]backup-simplify: Simplify 0 into 0 1536830207.005 * [misc]backup-simplify: Simplify 0 into 0 1536830207.005 * [misc]backup-simplify: Simplify 0 into 0 1536830207.006 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536830207.006 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.010 * [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 1536830207.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.010 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830207.010 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.010 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536830207.013 * [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))))) 1536830207.016 * [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))))) 1536830207.021 * [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))))) 1536830207.021 * [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)))) 1536830207.021 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536830207.021 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.021 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.021 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.021 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.021 * [misc]taylor: Taking taylor expansion of k in k 1536830207.021 * [misc]backup-simplify: Simplify 0 into 0 1536830207.021 * [misc]backup-simplify: Simplify 1 into 1 1536830207.021 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.021 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830207.022 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830207.022 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.022 * [misc]backup-simplify: Simplify 2 into 2 1536830207.022 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.022 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.022 * [misc]backup-simplify: Simplify PI into PI 1536830207.022 * [misc]taylor: Taking taylor expansion of n in k 1536830207.022 * [misc]backup-simplify: Simplify n into n 1536830207.022 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.022 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830207.022 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830207.022 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.022 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.022 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.022 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830207.022 * [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)))) 1536830207.023 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.023 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.023 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.023 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of k in n 1536830207.023 * [misc]backup-simplify: Simplify k into k 1536830207.023 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.023 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.023 * [misc]backup-simplify: Simplify 2 into 2 1536830207.023 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.023 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.023 * [misc]backup-simplify: Simplify PI into PI 1536830207.023 * [misc]taylor: Taking taylor expansion of n in n 1536830207.023 * [misc]backup-simplify: Simplify 0 into 0 1536830207.023 * [misc]backup-simplify: Simplify 1 into 1 1536830207.023 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.023 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.024 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.024 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.024 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.024 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.024 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.025 * [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))) 1536830207.025 * [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)))) 1536830207.025 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.025 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.025 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.025 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.025 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.026 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.026 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.026 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.026 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.026 * [misc]taylor: Taking taylor expansion of k in n 1536830207.026 * [misc]backup-simplify: Simplify k into k 1536830207.026 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.026 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.026 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.026 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.026 * [misc]backup-simplify: Simplify 2 into 2 1536830207.026 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.026 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.026 * [misc]backup-simplify: Simplify PI into PI 1536830207.026 * [misc]taylor: Taking taylor expansion of n in n 1536830207.026 * [misc]backup-simplify: Simplify 0 into 0 1536830207.026 * [misc]backup-simplify: Simplify 1 into 1 1536830207.026 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.026 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.027 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.027 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.027 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.027 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.027 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.028 * [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))) 1536830207.028 * [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)))) 1536830207.028 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.028 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.028 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.028 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of k in k 1536830207.028 * [misc]backup-simplify: Simplify 0 into 0 1536830207.028 * [misc]backup-simplify: Simplify 1 into 1 1536830207.028 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.028 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536830207.028 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536830207.029 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536830207.029 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.029 * [misc]backup-simplify: Simplify 2 into 2 1536830207.029 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.029 * [misc]backup-simplify: Simplify PI into PI 1536830207.029 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.029 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.029 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830207.029 * [misc]taylor: Taking taylor expansion of n in k 1536830207.029 * [misc]backup-simplify: Simplify n into n 1536830207.029 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830207.029 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.029 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.030 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.030 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830207.030 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536830207.030 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536830207.031 * [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)))) 1536830207.031 * [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)))) 1536830207.032 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830207.034 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830207.035 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.035 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.035 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.035 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.035 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.036 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830207.037 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.037 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.037 * [misc]backup-simplify: Simplify 0 into 0 1536830207.037 * [misc]backup-simplify: Simplify 0 into 0 1536830207.037 * [misc]backup-simplify: Simplify 0 into 0 1536830207.038 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.039 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.043 * [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 1536830207.043 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830207.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830207.043 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.044 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.044 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536830207.046 * [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 1536830207.046 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.046 * [misc]backup-simplify: Simplify 0 into 0 1536830207.046 * [misc]backup-simplify: Simplify 0 into 0 1536830207.046 * [misc]backup-simplify: Simplify 0 into 0 1536830207.046 * [misc]backup-simplify: Simplify 0 into 0 1536830207.047 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.048 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.056 * [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 1536830207.057 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830207.057 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830207.057 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.057 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.058 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.058 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536830207.060 * [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 1536830207.061 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.061 * [misc]backup-simplify: Simplify 0 into 0 1536830207.061 * [misc]backup-simplify: Simplify 0 into 0 1536830207.061 * [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))))) 1536830207.061 * [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)) 1536830207.061 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536830207.061 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830207.061 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830207.061 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830207.061 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.061 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.062 * [misc]taylor: Taking taylor expansion of k in k 1536830207.062 * [misc]backup-simplify: Simplify 0 into 0 1536830207.062 * [misc]backup-simplify: Simplify 1 into 1 1536830207.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.062 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830207.062 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830207.062 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.062 * [misc]backup-simplify: Simplify -2 into -2 1536830207.062 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.062 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.062 * [misc]backup-simplify: Simplify PI into PI 1536830207.062 * [misc]taylor: Taking taylor expansion of n in k 1536830207.062 * [misc]backup-simplify: Simplify n into n 1536830207.062 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.062 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830207.062 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830207.062 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.062 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.062 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830207.063 * [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))) 1536830207.063 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.063 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of k in n 1536830207.063 * [misc]backup-simplify: Simplify k into k 1536830207.063 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.063 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.063 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.063 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.063 * [misc]backup-simplify: Simplify -2 into -2 1536830207.063 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.063 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.063 * [misc]backup-simplify: Simplify PI into PI 1536830207.063 * [misc]taylor: Taking taylor expansion of n in n 1536830207.063 * [misc]backup-simplify: Simplify 0 into 0 1536830207.063 * [misc]backup-simplify: Simplify 1 into 1 1536830207.063 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.064 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.064 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.064 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.064 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.064 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.065 * [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))) 1536830207.065 * [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)))) 1536830207.065 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.065 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830207.065 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830207.065 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.066 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of k in n 1536830207.066 * [misc]backup-simplify: Simplify k into k 1536830207.066 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.066 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.066 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.066 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.066 * [misc]backup-simplify: Simplify -2 into -2 1536830207.066 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.066 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.066 * [misc]backup-simplify: Simplify PI into PI 1536830207.066 * [misc]taylor: Taking taylor expansion of n in n 1536830207.066 * [misc]backup-simplify: Simplify 0 into 0 1536830207.066 * [misc]backup-simplify: Simplify 1 into 1 1536830207.066 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.066 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.067 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.067 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.067 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.068 * [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))) 1536830207.068 * [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)))) 1536830207.068 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.068 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of k in k 1536830207.068 * [misc]backup-simplify: Simplify 0 into 0 1536830207.068 * [misc]backup-simplify: Simplify 1 into 1 1536830207.068 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.068 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.068 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.068 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536830207.068 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.069 * [misc]backup-simplify: Simplify -2 into -2 1536830207.069 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.069 * [misc]backup-simplify: Simplify PI into PI 1536830207.069 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.069 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.069 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830207.069 * [misc]taylor: Taking taylor expansion of n in k 1536830207.069 * [misc]backup-simplify: Simplify n into n 1536830207.069 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830207.069 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.069 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.069 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830207.070 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536830207.070 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536830207.071 * [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)))) 1536830207.071 * [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)))) 1536830207.072 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.072 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830207.074 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830207.074 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.075 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.076 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536830207.077 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.077 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.077 * [misc]backup-simplify: Simplify 0 into 0 1536830207.077 * [misc]backup-simplify: Simplify 0 into 0 1536830207.077 * [misc]backup-simplify: Simplify 0 into 0 1536830207.078 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.078 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.084 * [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 1536830207.084 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830207.084 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830207.084 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.085 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.086 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536830207.089 * [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 1536830207.089 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.089 * [misc]backup-simplify: Simplify 0 into 0 1536830207.089 * [misc]backup-simplify: Simplify 0 into 0 1536830207.089 * [misc]backup-simplify: Simplify 0 into 0 1536830207.089 * [misc]backup-simplify: Simplify 0 into 0 1536830207.091 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.093 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.098 * [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 1536830207.098 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830207.099 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830207.099 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.100 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536830207.102 * [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 1536830207.102 * [misc]taylor: Taking taylor expansion of 0 in k 1536830207.102 * [misc]backup-simplify: Simplify 0 into 0 1536830207.102 * [misc]backup-simplify: Simplify 0 into 0 1536830207.103 * [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))))) 1536830207.103 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) 1536830207.104 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536830207.104 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536830207.104 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.104 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.104 * [misc]backup-simplify: Simplify 2 into 2 1536830207.104 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.104 * [misc]taylor: Taking taylor expansion of n in n 1536830207.104 * [misc]backup-simplify: Simplify 0 into 0 1536830207.104 * [misc]backup-simplify: Simplify 1 into 1 1536830207.104 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.104 * [misc]backup-simplify: Simplify PI into PI 1536830207.104 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.104 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.104 * [misc]backup-simplify: Simplify 2 into 2 1536830207.104 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.104 * [misc]taylor: Taking taylor expansion of n in n 1536830207.104 * [misc]backup-simplify: Simplify 0 into 0 1536830207.104 * [misc]backup-simplify: Simplify 1 into 1 1536830207.104 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.104 * [misc]backup-simplify: Simplify PI into PI 1536830207.105 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.105 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.105 * [misc]backup-simplify: Simplify 0 into 0 1536830207.106 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.106 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.107 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.108 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830207.109 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830207.109 * [misc]backup-simplify: Simplify 0 into 0 1536830207.111 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.112 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536830207.112 * [misc]backup-simplify: Simplify 0 into 0 1536830207.115 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830207.117 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536830207.117 * [misc]backup-simplify: Simplify 0 into 0 1536830207.120 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830207.123 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536830207.123 * [misc]backup-simplify: Simplify 0 into 0 1536830207.126 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830207.130 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536830207.130 * [misc]backup-simplify: Simplify 0 into 0 1536830207.134 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536830207.138 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536830207.138 * [misc]backup-simplify: Simplify 0 into 0 1536830207.139 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536830207.139 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536830207.139 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536830207.139 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.139 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.139 * [misc]backup-simplify: Simplify 2 into 2 1536830207.139 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.139 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.139 * [misc]backup-simplify: Simplify PI into PI 1536830207.139 * [misc]taylor: Taking taylor expansion of n in n 1536830207.139 * [misc]backup-simplify: Simplify 0 into 0 1536830207.139 * [misc]backup-simplify: Simplify 1 into 1 1536830207.139 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.139 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.139 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.139 * [misc]backup-simplify: Simplify 2 into 2 1536830207.140 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.140 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.140 * [misc]backup-simplify: Simplify PI into PI 1536830207.140 * [misc]taylor: Taking taylor expansion of n in n 1536830207.140 * [misc]backup-simplify: Simplify 0 into 0 1536830207.140 * [misc]backup-simplify: Simplify 1 into 1 1536830207.140 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.140 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.141 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.142 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830207.143 * [misc]backup-simplify: Simplify 0 into 0 1536830207.144 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.145 * [misc]backup-simplify: Simplify 0 into 0 1536830207.147 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.149 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.149 * [misc]backup-simplify: Simplify 0 into 0 1536830207.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.153 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830207.153 * [misc]backup-simplify: Simplify 0 into 0 1536830207.155 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.158 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830207.158 * [misc]backup-simplify: Simplify 0 into 0 1536830207.161 * [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 1536830207.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830207.164 * [misc]backup-simplify: Simplify 0 into 0 1536830207.165 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536830207.165 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536830207.165 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536830207.165 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.165 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.165 * [misc]backup-simplify: Simplify -2 into -2 1536830207.165 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.165 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.165 * [misc]backup-simplify: Simplify PI into PI 1536830207.165 * [misc]taylor: Taking taylor expansion of n in n 1536830207.165 * [misc]backup-simplify: Simplify 0 into 0 1536830207.165 * [misc]backup-simplify: Simplify 1 into 1 1536830207.166 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.166 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.166 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.166 * [misc]backup-simplify: Simplify -2 into -2 1536830207.166 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.166 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.166 * [misc]backup-simplify: Simplify PI into PI 1536830207.166 * [misc]taylor: Taking taylor expansion of n in n 1536830207.166 * [misc]backup-simplify: Simplify 0 into 0 1536830207.166 * [misc]backup-simplify: Simplify 1 into 1 1536830207.166 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.167 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.167 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.169 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830207.169 * [misc]backup-simplify: Simplify 0 into 0 1536830207.171 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.172 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.172 * [misc]backup-simplify: Simplify 0 into 0 1536830207.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.178 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.178 * [misc]backup-simplify: Simplify 0 into 0 1536830207.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.182 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536830207.182 * [misc]backup-simplify: Simplify 0 into 0 1536830207.184 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.187 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536830207.187 * [misc]backup-simplify: Simplify 0 into 0 1536830207.190 * [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 1536830207.193 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536830207.193 * [misc]backup-simplify: Simplify 0 into 0 1536830207.194 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536830207.194 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1536830207.195 * [misc]backup-simplify: Simplify (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1536830207.195 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536830207.195 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.195 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.195 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.195 * [misc]taylor: Taking taylor expansion of k in n 1536830207.195 * [misc]backup-simplify: Simplify k into k 1536830207.195 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.195 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.195 * [misc]backup-simplify: Simplify 2 into 2 1536830207.195 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.196 * [misc]taylor: Taking taylor expansion of n in n 1536830207.196 * [misc]backup-simplify: Simplify 0 into 0 1536830207.196 * [misc]backup-simplify: Simplify 1 into 1 1536830207.196 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.196 * [misc]backup-simplify: Simplify PI into PI 1536830207.196 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.196 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.197 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.198 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.198 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.198 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830207.198 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830207.199 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830207.199 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.200 * [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)))) 1536830207.201 * [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))))) 1536830207.202 * [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)))))) 1536830207.202 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830207.202 * [misc]taylor: Taking taylor expansion of k in n 1536830207.202 * [misc]backup-simplify: Simplify k into k 1536830207.202 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830207.202 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830207.202 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.202 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.202 * [misc]taylor: Taking taylor expansion of k in k 1536830207.202 * [misc]backup-simplify: Simplify 0 into 0 1536830207.202 * [misc]backup-simplify: Simplify 1 into 1 1536830207.202 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.202 * [misc]backup-simplify: Simplify 2 into 2 1536830207.202 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830207.202 * [misc]taylor: Taking taylor expansion of n in k 1536830207.202 * [misc]backup-simplify: Simplify n into n 1536830207.203 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.203 * [misc]backup-simplify: Simplify PI into PI 1536830207.203 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830207.203 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830207.203 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830207.203 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830207.203 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.203 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.204 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830207.204 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830207.204 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536830207.204 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830207.204 * [misc]taylor: Taking taylor expansion of k in k 1536830207.204 * [misc]backup-simplify: Simplify 0 into 0 1536830207.205 * [misc]backup-simplify: Simplify 1 into 1 1536830207.205 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.205 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.205 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.205 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830207.205 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.205 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.206 * [misc]taylor: Taking taylor expansion of k in k 1536830207.206 * [misc]backup-simplify: Simplify 0 into 0 1536830207.206 * [misc]backup-simplify: Simplify 1 into 1 1536830207.206 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830207.206 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830207.206 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.206 * [misc]backup-simplify: Simplify 2 into 2 1536830207.206 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830207.206 * [misc]taylor: Taking taylor expansion of n in k 1536830207.206 * [misc]backup-simplify: Simplify n into n 1536830207.206 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.206 * [misc]backup-simplify: Simplify PI into PI 1536830207.206 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830207.206 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830207.206 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830207.206 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830207.207 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.207 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.207 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830207.207 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830207.208 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536830207.208 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830207.208 * [misc]taylor: Taking taylor expansion of k in k 1536830207.208 * [misc]backup-simplify: Simplify 0 into 0 1536830207.208 * [misc]backup-simplify: Simplify 1 into 1 1536830207.208 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.208 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.209 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1536830207.209 * [misc]taylor: Taking taylor expansion of 0 in n 1536830207.209 * [misc]backup-simplify: Simplify 0 into 0 1536830207.209 * [misc]backup-simplify: Simplify 0 into 0 1536830207.209 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536830207.210 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536830207.211 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536830207.211 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830207.211 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.211 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.212 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536830207.213 * [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))))) 1536830207.215 * [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))))) 1536830207.218 * [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)))) 1536830207.218 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.218 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.218 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.218 * [misc]taylor: Taking taylor expansion of n in n 1536830207.218 * [misc]backup-simplify: Simplify 0 into 0 1536830207.218 * [misc]backup-simplify: Simplify 1 into 1 1536830207.218 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.218 * [misc]backup-simplify: Simplify PI into PI 1536830207.218 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.219 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.220 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830207.220 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.221 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830207.221 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830207.221 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.221 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830207.221 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830207.222 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.223 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830207.225 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.226 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.227 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.227 * [misc]backup-simplify: Simplify 0 into 0 1536830207.228 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.229 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.229 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536830207.232 * [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 1536830207.232 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830207.232 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.233 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536830207.235 * [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))) 1536830207.246 * [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)))))) 1536830207.259 * [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)))))) 1536830207.259 * [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 1536830207.259 * [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 1536830207.259 * [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 1536830207.259 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.259 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.259 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1536830207.259 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1536830207.259 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.259 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.259 * [misc]backup-simplify: Simplify 2 into 2 1536830207.259 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.260 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.260 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1536830207.260 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.260 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.260 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.260 * [misc]backup-simplify: Simplify 2 into 2 1536830207.260 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.260 * [misc]taylor: Taking taylor expansion of n in n 1536830207.260 * [misc]backup-simplify: Simplify 0 into 0 1536830207.260 * [misc]backup-simplify: Simplify 1 into 1 1536830207.260 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.260 * [misc]backup-simplify: Simplify PI into PI 1536830207.260 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.261 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.261 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.262 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.262 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.262 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536830207.262 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830207.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.263 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.263 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830207.263 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830207.263 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830207.263 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830207.263 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.263 * [misc]taylor: Taking taylor expansion of n in n 1536830207.263 * [misc]backup-simplify: Simplify 0 into 0 1536830207.263 * [misc]backup-simplify: Simplify 1 into 1 1536830207.263 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.263 * [misc]backup-simplify: Simplify PI into PI 1536830207.263 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.264 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.264 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830207.264 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.265 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830207.265 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.265 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.265 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.265 * [misc]taylor: Taking taylor expansion of n in n 1536830207.265 * [misc]backup-simplify: Simplify 0 into 0 1536830207.265 * [misc]backup-simplify: Simplify 1 into 1 1536830207.265 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.265 * [misc]backup-simplify: Simplify PI into PI 1536830207.266 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.266 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.267 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830207.267 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.267 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830207.267 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830207.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.268 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830207.268 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830207.269 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.269 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536830207.271 * [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)))) 1536830207.272 * [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))))) 1536830207.273 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.273 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536830207.274 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830207.275 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830207.278 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830207.279 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536830207.281 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1536830207.284 * [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))))) 1536830207.286 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1536830207.296 * [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))))) 1536830207.297 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.298 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830207.300 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.301 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536830207.315 * [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))))))) 1536830207.329 * [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))))))) 1536830207.342 * [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))))))) 1536830207.343 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536830207.344 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830207.346 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536830207.348 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536830207.351 * [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)))) 1536830207.356 * [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)))) 1536830207.358 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536830207.360 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536830207.377 * [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))))))))))) 1536830207.377 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (/ 1 (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))) 1536830207.377 * [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 1536830207.377 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536830207.377 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.378 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.378 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.378 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of k in n 1536830207.378 * [misc]backup-simplify: Simplify k into k 1536830207.378 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.378 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.378 * [misc]backup-simplify: Simplify 2 into 2 1536830207.378 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.378 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.378 * [misc]backup-simplify: Simplify PI into PI 1536830207.378 * [misc]taylor: Taking taylor expansion of n in n 1536830207.378 * [misc]backup-simplify: Simplify 0 into 0 1536830207.378 * [misc]backup-simplify: Simplify 1 into 1 1536830207.378 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.378 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.379 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.379 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.379 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.379 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.379 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.380 * [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))) 1536830207.380 * [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)))) 1536830207.381 * [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))))) 1536830207.381 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830207.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.381 * [misc]taylor: Taking taylor expansion of k in n 1536830207.381 * [misc]backup-simplify: Simplify k into k 1536830207.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.381 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830207.381 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.381 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830207.381 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of k in k 1536830207.381 * [misc]backup-simplify: Simplify 0 into 0 1536830207.381 * [misc]backup-simplify: Simplify 1 into 1 1536830207.381 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.381 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830207.381 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.381 * [misc]backup-simplify: Simplify 2 into 2 1536830207.381 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.382 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.382 * [misc]backup-simplify: Simplify PI into PI 1536830207.382 * [misc]taylor: Taking taylor expansion of n in k 1536830207.382 * [misc]backup-simplify: Simplify n into n 1536830207.382 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.382 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830207.382 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830207.382 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.382 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.382 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.382 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830207.382 * [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)))) 1536830207.383 * [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))))) 1536830207.383 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of k in k 1536830207.383 * [misc]backup-simplify: Simplify 0 into 0 1536830207.383 * [misc]backup-simplify: Simplify 1 into 1 1536830207.383 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.383 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.383 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.383 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.383 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.383 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.383 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.383 * [misc]taylor: Taking taylor expansion of k in k 1536830207.383 * [misc]backup-simplify: Simplify 0 into 0 1536830207.384 * [misc]backup-simplify: Simplify 1 into 1 1536830207.384 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.384 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830207.384 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830207.384 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.384 * [misc]backup-simplify: Simplify 2 into 2 1536830207.384 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.384 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.384 * [misc]backup-simplify: Simplify PI into PI 1536830207.384 * [misc]taylor: Taking taylor expansion of n in k 1536830207.384 * [misc]backup-simplify: Simplify n into n 1536830207.384 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.384 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830207.384 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830207.384 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.384 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.384 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.384 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830207.385 * [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)))) 1536830207.385 * [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))))) 1536830207.385 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830207.385 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.385 * [misc]taylor: Taking taylor expansion of k in k 1536830207.385 * [misc]backup-simplify: Simplify 0 into 0 1536830207.385 * [misc]backup-simplify: Simplify 1 into 1 1536830207.385 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.385 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.385 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.386 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536830207.386 * [misc]taylor: Taking taylor expansion of 0 in n 1536830207.386 * [misc]backup-simplify: Simplify 0 into 0 1536830207.386 * [misc]backup-simplify: Simplify 0 into 0 1536830207.386 * [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 1536830207.386 * [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))))))) 1536830207.386 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830207.386 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.386 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.386 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.387 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.387 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of k in n 1536830207.387 * [misc]backup-simplify: Simplify k into k 1536830207.387 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.387 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.387 * [misc]backup-simplify: Simplify 2 into 2 1536830207.387 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.387 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.387 * [misc]backup-simplify: Simplify PI into PI 1536830207.387 * [misc]taylor: Taking taylor expansion of n in n 1536830207.387 * [misc]backup-simplify: Simplify 0 into 0 1536830207.387 * [misc]backup-simplify: Simplify 1 into 1 1536830207.387 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.387 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.388 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.388 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.388 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.389 * [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))) 1536830207.389 * [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)))) 1536830207.390 * [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))))) 1536830207.390 * [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))))) 1536830207.391 * [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))))))) 1536830207.391 * [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))))))) 1536830207.391 * [misc]backup-simplify: Simplify 0 into 0 1536830207.392 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830207.392 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.393 * [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 1536830207.393 * [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))))))) 1536830207.393 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.393 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.393 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.393 * [misc]taylor: Taking taylor expansion of k in n 1536830207.394 * [misc]backup-simplify: Simplify k into k 1536830207.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.394 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.394 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.394 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.394 * [misc]backup-simplify: Simplify 2 into 2 1536830207.394 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.394 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.394 * [misc]backup-simplify: Simplify PI into PI 1536830207.394 * [misc]taylor: Taking taylor expansion of n in n 1536830207.394 * [misc]backup-simplify: Simplify 0 into 0 1536830207.394 * [misc]backup-simplify: Simplify 1 into 1 1536830207.394 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.394 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.394 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.395 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.395 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.395 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.396 * [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))) 1536830207.396 * [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)))) 1536830207.397 * [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))))) 1536830207.397 * [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))))) 1536830207.398 * [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))))))) 1536830207.398 * [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))))))) 1536830207.399 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.399 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830207.401 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830207.401 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.402 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.402 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.402 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.402 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.403 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830207.404 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.405 * [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 1536830207.405 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536830207.405 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.405 * [misc]backup-simplify: Simplify 0 into 0 1536830207.405 * [misc]backup-simplify: Simplify 0 into 0 1536830207.406 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.406 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830207.407 * [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 1536830207.407 * [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))))))) 1536830207.407 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830207.407 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.408 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.408 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of k in n 1536830207.408 * [misc]backup-simplify: Simplify k into k 1536830207.408 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.408 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.408 * [misc]backup-simplify: Simplify 2 into 2 1536830207.408 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.408 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.408 * [misc]backup-simplify: Simplify PI into PI 1536830207.408 * [misc]taylor: Taking taylor expansion of n in n 1536830207.408 * [misc]backup-simplify: Simplify 0 into 0 1536830207.408 * [misc]backup-simplify: Simplify 1 into 1 1536830207.408 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.408 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.409 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.409 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.409 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.409 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.409 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.410 * [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))) 1536830207.410 * [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)))) 1536830207.411 * [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))))) 1536830207.411 * [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))))) 1536830207.412 * [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))))))) 1536830207.412 * [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))))))) 1536830207.414 * [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)))))))))))) 1536830207.415 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- k))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1536830207.415 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536830207.415 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of -1 in n 1536830207.415 * [misc]backup-simplify: Simplify -1 into -1 1536830207.415 * [misc]taylor: Taking taylor expansion of k in n 1536830207.415 * [misc]backup-simplify: Simplify k into k 1536830207.415 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830207.415 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830207.415 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830207.415 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830207.415 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.415 * [misc]taylor: Taking taylor expansion of k in n 1536830207.416 * [misc]backup-simplify: Simplify k into k 1536830207.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.416 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.416 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.416 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.416 * [misc]backup-simplify: Simplify -2 into -2 1536830207.416 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.416 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.416 * [misc]backup-simplify: Simplify PI into PI 1536830207.416 * [misc]taylor: Taking taylor expansion of n in n 1536830207.416 * [misc]backup-simplify: Simplify 0 into 0 1536830207.416 * [misc]backup-simplify: Simplify 1 into 1 1536830207.416 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.417 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.417 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.417 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.418 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.419 * [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))) 1536830207.420 * [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)))) 1536830207.421 * [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))))) 1536830207.421 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830207.421 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830207.421 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830207.421 * [misc]taylor: Taking taylor expansion of -1 in k 1536830207.421 * [misc]backup-simplify: Simplify -1 into -1 1536830207.421 * [misc]taylor: Taking taylor expansion of k in k 1536830207.421 * [misc]backup-simplify: Simplify 0 into 0 1536830207.421 * [misc]backup-simplify: Simplify 1 into 1 1536830207.421 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830207.422 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.422 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830207.422 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.422 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.422 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.422 * [misc]taylor: Taking taylor expansion of k in k 1536830207.422 * [misc]backup-simplify: Simplify 0 into 0 1536830207.422 * [misc]backup-simplify: Simplify 1 into 1 1536830207.423 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.423 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.423 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830207.423 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830207.423 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.423 * [misc]backup-simplify: Simplify -2 into -2 1536830207.423 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.423 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.423 * [misc]backup-simplify: Simplify PI into PI 1536830207.423 * [misc]taylor: Taking taylor expansion of n in k 1536830207.423 * [misc]backup-simplify: Simplify n into n 1536830207.423 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.423 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830207.423 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830207.424 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.424 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.424 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830207.424 * [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))) 1536830207.425 * [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)))) 1536830207.425 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830207.425 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830207.425 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830207.425 * [misc]taylor: Taking taylor expansion of -1 in k 1536830207.425 * [misc]backup-simplify: Simplify -1 into -1 1536830207.425 * [misc]taylor: Taking taylor expansion of k in k 1536830207.425 * [misc]backup-simplify: Simplify 0 into 0 1536830207.425 * [misc]backup-simplify: Simplify 1 into 1 1536830207.425 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830207.426 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.426 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830207.426 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830207.426 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830207.426 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830207.426 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.426 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.426 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.427 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.427 * [misc]taylor: Taking taylor expansion of k in k 1536830207.427 * [misc]backup-simplify: Simplify 0 into 0 1536830207.427 * [misc]backup-simplify: Simplify 1 into 1 1536830207.427 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.427 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.427 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.427 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830207.427 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830207.427 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.427 * [misc]backup-simplify: Simplify -2 into -2 1536830207.427 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.427 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.427 * [misc]backup-simplify: Simplify PI into PI 1536830207.427 * [misc]taylor: Taking taylor expansion of n in k 1536830207.427 * [misc]backup-simplify: Simplify n into n 1536830207.427 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.427 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830207.428 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830207.428 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.428 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.428 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830207.429 * [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))) 1536830207.429 * [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)))) 1536830207.429 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.429 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.429 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.429 * [misc]backup-simplify: Simplify -2 into -2 1536830207.429 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.429 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.429 * [misc]backup-simplify: Simplify PI into PI 1536830207.429 * [misc]taylor: Taking taylor expansion of n in n 1536830207.429 * [misc]backup-simplify: Simplify 0 into 0 1536830207.430 * [misc]backup-simplify: Simplify 1 into 1 1536830207.430 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.430 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.431 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.431 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.431 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.431 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.431 * [misc]taylor: Taking taylor expansion of k in n 1536830207.431 * [misc]backup-simplify: Simplify k into k 1536830207.431 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.431 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.431 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.435 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.435 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.435 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.436 * [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))) 1536830207.437 * [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)))) 1536830207.438 * [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))))) 1536830207.439 * [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))))) 1536830207.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830207.440 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.442 * [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)))))) 1536830207.442 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.442 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.442 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.442 * [misc]backup-simplify: Simplify -2 into -2 1536830207.442 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.442 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.442 * [misc]backup-simplify: Simplify PI into PI 1536830207.442 * [misc]taylor: Taking taylor expansion of n in n 1536830207.442 * [misc]backup-simplify: Simplify 0 into 0 1536830207.442 * [misc]backup-simplify: Simplify 1 into 1 1536830207.443 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.443 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.444 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.444 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.444 * [misc]taylor: Taking taylor expansion of k in n 1536830207.444 * [misc]backup-simplify: Simplify k into k 1536830207.444 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.444 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.445 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.445 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.445 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.446 * [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))) 1536830207.447 * [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)))) 1536830207.448 * [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))))) 1536830207.448 * [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))))) 1536830207.449 * [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))))))) 1536830207.450 * [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))))))) 1536830207.451 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.451 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.451 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.451 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.452 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.453 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830207.455 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830207.455 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536830207.456 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.458 * [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 1536830207.458 * [misc]backup-simplify: Simplify 0 into 0 1536830207.458 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.459 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830207.460 * [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)))))) 1536830207.460 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.460 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.460 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.460 * [misc]backup-simplify: Simplify -2 into -2 1536830207.460 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.460 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.460 * [misc]backup-simplify: Simplify PI into PI 1536830207.460 * [misc]taylor: Taking taylor expansion of n in n 1536830207.460 * [misc]backup-simplify: Simplify 0 into 0 1536830207.460 * [misc]backup-simplify: Simplify 1 into 1 1536830207.460 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.460 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.461 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.461 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.461 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.461 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.461 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.461 * [misc]taylor: Taking taylor expansion of k in n 1536830207.461 * [misc]backup-simplify: Simplify k into k 1536830207.461 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.461 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.461 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.461 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.462 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.462 * [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))) 1536830207.462 * [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)))) 1536830207.463 * [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))))) 1536830207.463 * [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))))) 1536830207.464 * [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))))))) 1536830207.464 * [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))))))) 1536830207.466 * [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)))))))))))) 1536830207.466 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1536830207.467 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1536830207.467 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1536830207.467 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of k in n 1536830207.467 * [misc]backup-simplify: Simplify k into k 1536830207.467 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.467 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830207.467 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.467 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830207.467 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.467 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830207.467 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.467 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.467 * [misc]taylor: Taking taylor expansion of k in n 1536830207.468 * [misc]backup-simplify: Simplify k into k 1536830207.468 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.468 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.468 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.468 * [misc]backup-simplify: Simplify 2 into 2 1536830207.468 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.468 * [misc]taylor: Taking taylor expansion of n in n 1536830207.468 * [misc]backup-simplify: Simplify 0 into 0 1536830207.468 * [misc]backup-simplify: Simplify 1 into 1 1536830207.468 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.468 * [misc]backup-simplify: Simplify PI into PI 1536830207.468 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.468 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.468 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.469 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.469 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.469 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830207.469 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830207.469 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830207.470 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.470 * [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)))) 1536830207.471 * [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))))) 1536830207.471 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of k in k 1536830207.471 * [misc]backup-simplify: Simplify 0 into 0 1536830207.471 * [misc]backup-simplify: Simplify 1 into 1 1536830207.471 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.471 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.471 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.471 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830207.471 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.472 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830207.472 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.472 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.472 * [misc]taylor: Taking taylor expansion of k in k 1536830207.472 * [misc]backup-simplify: Simplify 0 into 0 1536830207.472 * [misc]backup-simplify: Simplify 1 into 1 1536830207.472 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830207.472 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830207.472 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.472 * [misc]backup-simplify: Simplify 2 into 2 1536830207.472 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830207.472 * [misc]taylor: Taking taylor expansion of n in k 1536830207.472 * [misc]backup-simplify: Simplify n into n 1536830207.472 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.472 * [misc]backup-simplify: Simplify PI into PI 1536830207.472 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830207.472 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830207.472 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830207.472 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830207.472 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.472 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.472 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830207.473 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830207.473 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of k in k 1536830207.473 * [misc]backup-simplify: Simplify 0 into 0 1536830207.473 * [misc]backup-simplify: Simplify 1 into 1 1536830207.473 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.473 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.473 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.473 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.473 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.473 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.473 * [misc]taylor: Taking taylor expansion of k in k 1536830207.473 * [misc]backup-simplify: Simplify 0 into 0 1536830207.473 * [misc]backup-simplify: Simplify 1 into 1 1536830207.473 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.473 * [misc]backup-simplify: Simplify 2 into 2 1536830207.473 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536830207.473 * [misc]taylor: Taking taylor expansion of n in k 1536830207.473 * [misc]backup-simplify: Simplify n into n 1536830207.473 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.474 * [misc]backup-simplify: Simplify PI into PI 1536830207.474 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536830207.474 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536830207.474 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536830207.474 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830207.474 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.474 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.474 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536830207.474 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536830207.475 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1536830207.475 * [misc]taylor: Taking taylor expansion of 0 in n 1536830207.475 * [misc]backup-simplify: Simplify 0 into 0 1536830207.475 * [misc]backup-simplify: Simplify 0 into 0 1536830207.475 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536830207.475 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536830207.476 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536830207.476 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830207.476 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.477 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536830207.477 * [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))))) 1536830207.478 * [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))))) 1536830207.478 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.478 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.478 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.478 * [misc]backup-simplify: Simplify 2 into 2 1536830207.478 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.478 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.478 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.478 * [misc]taylor: Taking taylor expansion of n in n 1536830207.478 * [misc]backup-simplify: Simplify 0 into 0 1536830207.478 * [misc]backup-simplify: Simplify 1 into 1 1536830207.478 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.478 * [misc]backup-simplify: Simplify PI into PI 1536830207.479 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.479 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.479 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.480 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.480 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830207.480 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.480 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.480 * [misc]backup-simplify: Simplify 0 into 0 1536830207.480 * [misc]backup-simplify: Simplify 0 into 0 1536830207.481 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536830207.482 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536830207.484 * [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 1536830207.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830207.484 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.485 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536830207.486 * [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))) 1536830207.486 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830207.487 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.488 * [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))))))) 1536830207.488 * [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 1536830207.488 * [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 1536830207.488 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.488 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.488 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.488 * [misc]backup-simplify: Simplify 2 into 2 1536830207.488 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.488 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.488 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.488 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.489 * [misc]backup-simplify: Simplify 2 into 2 1536830207.489 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.489 * [misc]taylor: Taking taylor expansion of n in n 1536830207.489 * [misc]backup-simplify: Simplify 0 into 0 1536830207.489 * [misc]backup-simplify: Simplify 1 into 1 1536830207.489 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.489 * [misc]backup-simplify: Simplify PI into PI 1536830207.489 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.489 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.490 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.490 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.490 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.490 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.490 * [misc]taylor: Taking taylor expansion of n in n 1536830207.490 * [misc]backup-simplify: Simplify 0 into 0 1536830207.490 * [misc]backup-simplify: Simplify 1 into 1 1536830207.490 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.490 * [misc]backup-simplify: Simplify PI into PI 1536830207.491 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.491 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.491 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.491 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830207.491 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830207.491 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.491 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.491 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830207.491 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.492 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.492 * [misc]backup-simplify: Simplify 2 into 2 1536830207.492 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.492 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.492 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.492 * [misc]taylor: Taking taylor expansion of n in n 1536830207.492 * [misc]backup-simplify: Simplify 0 into 0 1536830207.492 * [misc]backup-simplify: Simplify 1 into 1 1536830207.492 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.492 * [misc]backup-simplify: Simplify PI into PI 1536830207.492 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.492 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.493 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.493 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.494 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536830207.494 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536830207.494 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.495 * [misc]backup-simplify: Simplify 0 into 0 1536830207.496 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.497 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.498 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.499 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.499 * [misc]backup-simplify: Simplify 0 into 0 1536830207.500 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536830207.500 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1536830207.502 * [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 1536830207.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536830207.503 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.503 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1536830207.505 * [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))) 1536830207.506 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.506 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830207.511 * [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))))))))) 1536830207.511 * [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 1536830207.511 * [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 1536830207.511 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536830207.511 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.511 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.511 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536830207.511 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536830207.511 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.511 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.511 * [misc]backup-simplify: Simplify 2 into 2 1536830207.512 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.512 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.512 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.512 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.512 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.512 * [misc]backup-simplify: Simplify 2 into 2 1536830207.512 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.512 * [misc]taylor: Taking taylor expansion of n in n 1536830207.512 * [misc]backup-simplify: Simplify 0 into 0 1536830207.512 * [misc]backup-simplify: Simplify 1 into 1 1536830207.512 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.512 * [misc]backup-simplify: Simplify PI into PI 1536830207.513 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.513 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.514 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.514 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.515 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.515 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.515 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.515 * [misc]taylor: Taking taylor expansion of n in n 1536830207.515 * [misc]backup-simplify: Simplify 0 into 0 1536830207.515 * [misc]backup-simplify: Simplify 1 into 1 1536830207.515 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.515 * [misc]backup-simplify: Simplify PI into PI 1536830207.516 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.516 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.516 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.517 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.517 * [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 1536830207.517 * [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 1536830207.517 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1536830207.517 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.517 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.517 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1536830207.517 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1536830207.517 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.517 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.517 * [misc]backup-simplify: Simplify 2 into 2 1536830207.518 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.518 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.518 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1536830207.518 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536830207.518 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536830207.518 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.518 * [misc]backup-simplify: Simplify 2 into 2 1536830207.518 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.518 * [misc]taylor: Taking taylor expansion of n in n 1536830207.518 * [misc]backup-simplify: Simplify 0 into 0 1536830207.518 * [misc]backup-simplify: Simplify 1 into 1 1536830207.518 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.518 * [misc]backup-simplify: Simplify PI into PI 1536830207.518 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.519 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830207.519 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.520 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536830207.521 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.522 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.522 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.522 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.522 * [misc]taylor: Taking taylor expansion of n in n 1536830207.522 * [misc]backup-simplify: Simplify 0 into 0 1536830207.522 * [misc]backup-simplify: Simplify 1 into 1 1536830207.522 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.522 * [misc]backup-simplify: Simplify PI into PI 1536830207.522 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.523 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.523 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.524 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.524 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536830207.524 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536830207.524 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.524 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.524 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536830207.524 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830207.524 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.524 * [misc]backup-simplify: Simplify 2 into 2 1536830207.524 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830207.525 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830207.525 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536830207.525 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830207.525 * [misc]taylor: Taking taylor expansion of n in n 1536830207.525 * [misc]backup-simplify: Simplify 0 into 0 1536830207.525 * [misc]backup-simplify: Simplify 1 into 1 1536830207.525 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.525 * [misc]backup-simplify: Simplify PI into PI 1536830207.526 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830207.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830207.527 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.527 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536830207.528 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.529 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536830207.530 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536830207.530 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.531 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.532 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.533 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1536830207.534 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1536830207.536 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1536830207.536 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.536 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536830207.536 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536830207.536 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.537 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.537 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.537 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.537 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.537 * [misc]backup-simplify: Simplify 0 into 0 1536830207.539 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830207.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536830207.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830207.542 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536830207.542 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536830207.543 * [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)))))))) 1536830207.545 * [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)))))))) 1536830207.548 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.549 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.550 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536830207.553 * [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)))))))))) 1536830207.555 * [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))))))) 1536830207.558 * [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))))))) 1536830207.559 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830207.560 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1536830207.562 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536830207.565 * [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)))) 1536830207.570 * [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)))) 1536830207.572 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536830207.574 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536830207.580 * [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))))))))))))) 1536830207.580 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ 1 k)) (/ 1 (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536830207.581 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1536830207.581 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of k in n 1536830207.581 * [misc]backup-simplify: Simplify k into k 1536830207.581 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830207.581 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830207.581 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of k in n 1536830207.581 * [misc]backup-simplify: Simplify k into k 1536830207.581 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.581 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.581 * [misc]backup-simplify: Simplify 2 into 2 1536830207.581 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.581 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.581 * [misc]backup-simplify: Simplify PI into PI 1536830207.581 * [misc]taylor: Taking taylor expansion of n in n 1536830207.581 * [misc]backup-simplify: Simplify 0 into 0 1536830207.581 * [misc]backup-simplify: Simplify 1 into 1 1536830207.581 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.582 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.582 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.582 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.582 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.582 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.583 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.583 * [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))) 1536830207.584 * [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)))) 1536830207.584 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of k in k 1536830207.584 * [misc]backup-simplify: Simplify 0 into 0 1536830207.584 * [misc]backup-simplify: Simplify 1 into 1 1536830207.584 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.584 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.584 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of k in k 1536830207.584 * [misc]backup-simplify: Simplify 0 into 0 1536830207.584 * [misc]backup-simplify: Simplify 1 into 1 1536830207.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.584 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.584 * [misc]backup-simplify: Simplify 2 into 2 1536830207.584 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.584 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.585 * [misc]backup-simplify: Simplify PI into PI 1536830207.585 * [misc]taylor: Taking taylor expansion of n in k 1536830207.585 * [misc]backup-simplify: Simplify n into n 1536830207.585 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.585 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830207.585 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830207.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.585 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.585 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.585 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830207.585 * [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)))) 1536830207.585 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830207.585 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of k in k 1536830207.586 * [misc]backup-simplify: Simplify 0 into 0 1536830207.586 * [misc]backup-simplify: Simplify 1 into 1 1536830207.586 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.586 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830207.586 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of k in k 1536830207.586 * [misc]backup-simplify: Simplify 0 into 0 1536830207.586 * [misc]backup-simplify: Simplify 1 into 1 1536830207.586 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.586 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of 2 in k 1536830207.586 * [misc]backup-simplify: Simplify 2 into 2 1536830207.586 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.586 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.586 * [misc]backup-simplify: Simplify PI into PI 1536830207.586 * [misc]taylor: Taking taylor expansion of n in k 1536830207.587 * [misc]backup-simplify: Simplify n into n 1536830207.587 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.587 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536830207.587 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536830207.587 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.587 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830207.587 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830207.587 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536830207.587 * [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)))) 1536830207.588 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1536830207.588 * [misc]taylor: Taking taylor expansion of 0 in n 1536830207.588 * [misc]backup-simplify: Simplify 0 into 0 1536830207.588 * [misc]backup-simplify: Simplify 0 into 0 1536830207.588 * [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)))))) 1536830207.588 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.588 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.588 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.588 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.588 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.588 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of k in n 1536830207.588 * [misc]backup-simplify: Simplify k into k 1536830207.588 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.588 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.588 * [misc]backup-simplify: Simplify 2 into 2 1536830207.588 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.588 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.588 * [misc]backup-simplify: Simplify PI into PI 1536830207.588 * [misc]taylor: Taking taylor expansion of n in n 1536830207.588 * [misc]backup-simplify: Simplify 0 into 0 1536830207.588 * [misc]backup-simplify: Simplify 1 into 1 1536830207.589 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.589 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.589 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.589 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.589 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.589 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.590 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.590 * [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))) 1536830207.591 * [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)))) 1536830207.591 * [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))))) 1536830207.592 * [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)))))) 1536830207.592 * [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)))))) 1536830207.593 * [misc]backup-simplify: Simplify 0 into 0 1536830207.593 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.594 * [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)))))) 1536830207.594 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.594 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.594 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of k in n 1536830207.594 * [misc]backup-simplify: Simplify k into k 1536830207.594 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.594 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.594 * [misc]backup-simplify: Simplify 2 into 2 1536830207.594 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.594 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.594 * [misc]backup-simplify: Simplify PI into PI 1536830207.594 * [misc]taylor: Taking taylor expansion of n in n 1536830207.594 * [misc]backup-simplify: Simplify 0 into 0 1536830207.594 * [misc]backup-simplify: Simplify 1 into 1 1536830207.594 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.595 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.595 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.595 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.595 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.595 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.596 * [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))) 1536830207.596 * [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)))) 1536830207.597 * [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))))) 1536830207.597 * [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)))))) 1536830207.598 * [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)))))) 1536830207.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.599 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536830207.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536830207.601 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.601 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.601 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.602 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536830207.603 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.604 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536830207.604 * [misc]backup-simplify: Simplify (- 0) into 0 1536830207.604 * [misc]backup-simplify: Simplify 0 into 0 1536830207.604 * [misc]backup-simplify: Simplify 0 into 0 1536830207.605 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830207.605 * [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)))))) 1536830207.605 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830207.605 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830207.605 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.605 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.606 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.606 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.606 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.606 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of k in n 1536830207.606 * [misc]backup-simplify: Simplify k into k 1536830207.606 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.606 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of 2 in n 1536830207.606 * [misc]backup-simplify: Simplify 2 into 2 1536830207.606 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.606 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.606 * [misc]backup-simplify: Simplify PI into PI 1536830207.606 * [misc]taylor: Taking taylor expansion of n in n 1536830207.606 * [misc]backup-simplify: Simplify 0 into 0 1536830207.606 * [misc]backup-simplify: Simplify 1 into 1 1536830207.606 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.606 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536830207.607 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536830207.607 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.607 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830207.607 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830207.607 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536830207.608 * [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))) 1536830207.608 * [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)))) 1536830207.609 * [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))))) 1536830207.609 * [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)))))) 1536830207.610 * [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)))))) 1536830207.612 * [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)))))))) 1536830207.612 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ 1 (- k))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1536830207.612 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1536830207.612 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of k in n 1536830207.612 * [misc]backup-simplify: Simplify k into k 1536830207.612 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.612 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.612 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.613 * [misc]backup-simplify: Simplify -2 into -2 1536830207.613 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.613 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.613 * [misc]backup-simplify: Simplify PI into PI 1536830207.613 * [misc]taylor: Taking taylor expansion of n in n 1536830207.613 * [misc]backup-simplify: Simplify 0 into 0 1536830207.613 * [misc]backup-simplify: Simplify 1 into 1 1536830207.613 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.613 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.613 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.614 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.614 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.614 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.614 * [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))) 1536830207.615 * [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)))) 1536830207.615 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830207.615 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830207.615 * [misc]taylor: Taking taylor expansion of -1 in n 1536830207.615 * [misc]backup-simplify: Simplify -1 into -1 1536830207.615 * [misc]taylor: Taking taylor expansion of k in n 1536830207.615 * [misc]backup-simplify: Simplify k into k 1536830207.615 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830207.615 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830207.615 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830207.615 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830207.616 * [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))) 1536830207.616 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of k in k 1536830207.616 * [misc]backup-simplify: Simplify 0 into 0 1536830207.616 * [misc]backup-simplify: Simplify 1 into 1 1536830207.616 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.616 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.616 * [misc]backup-simplify: Simplify -2 into -2 1536830207.616 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.616 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.616 * [misc]backup-simplify: Simplify PI into PI 1536830207.616 * [misc]taylor: Taking taylor expansion of n in k 1536830207.616 * [misc]backup-simplify: Simplify n into n 1536830207.616 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.616 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830207.617 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830207.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.617 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.617 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830207.617 * [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))) 1536830207.617 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830207.617 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830207.617 * [misc]taylor: Taking taylor expansion of -1 in k 1536830207.617 * [misc]backup-simplify: Simplify -1 into -1 1536830207.617 * [misc]taylor: Taking taylor expansion of k in k 1536830207.617 * [misc]backup-simplify: Simplify 0 into 0 1536830207.617 * [misc]backup-simplify: Simplify 1 into 1 1536830207.617 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830207.617 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.618 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830207.618 * [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)))) 1536830207.618 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of k in k 1536830207.618 * [misc]backup-simplify: Simplify 0 into 0 1536830207.618 * [misc]backup-simplify: Simplify 1 into 1 1536830207.618 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830207.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830207.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.618 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of -2 in k 1536830207.618 * [misc]backup-simplify: Simplify -2 into -2 1536830207.618 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536830207.618 * [misc]taylor: Taking taylor expansion of PI in k 1536830207.618 * [misc]backup-simplify: Simplify PI into PI 1536830207.618 * [misc]taylor: Taking taylor expansion of n in k 1536830207.618 * [misc]backup-simplify: Simplify n into n 1536830207.619 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536830207.619 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536830207.619 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536830207.619 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830207.619 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830207.619 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536830207.619 * [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))) 1536830207.619 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830207.619 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830207.619 * [misc]taylor: Taking taylor expansion of -1 in k 1536830207.619 * [misc]backup-simplify: Simplify -1 into -1 1536830207.619 * [misc]taylor: Taking taylor expansion of k in k 1536830207.619 * [misc]backup-simplify: Simplify 0 into 0 1536830207.619 * [misc]backup-simplify: Simplify 1 into 1 1536830207.619 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830207.620 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830207.620 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830207.620 * [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)))) 1536830207.620 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.620 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.620 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.620 * [misc]backup-simplify: Simplify -2 into -2 1536830207.620 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.620 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.620 * [misc]backup-simplify: Simplify PI into PI 1536830207.620 * [misc]taylor: Taking taylor expansion of n in n 1536830207.620 * [misc]backup-simplify: Simplify 0 into 0 1536830207.620 * [misc]backup-simplify: Simplify 1 into 1 1536830207.621 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.621 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.621 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.621 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.621 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.621 * [misc]taylor: Taking taylor expansion of k in n 1536830207.621 * [misc]backup-simplify: Simplify k into k 1536830207.621 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.621 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.622 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.622 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.622 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.622 * [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))) 1536830207.623 * [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)))) 1536830207.623 * [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))))) 1536830207.624 * [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))))) 1536830207.624 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830207.625 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830207.627 * [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))))) 1536830207.627 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.627 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.627 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.627 * [misc]backup-simplify: Simplify -2 into -2 1536830207.627 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.627 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.627 * [misc]backup-simplify: Simplify PI into PI 1536830207.627 * [misc]taylor: Taking taylor expansion of n in n 1536830207.627 * [misc]backup-simplify: Simplify 0 into 0 1536830207.627 * [misc]backup-simplify: Simplify 1 into 1 1536830207.628 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.628 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.629 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.629 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.629 * [misc]taylor: Taking taylor expansion of k in n 1536830207.629 * [misc]backup-simplify: Simplify k into k 1536830207.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.630 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.630 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.630 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.631 * [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))) 1536830207.631 * [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)))) 1536830207.632 * [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))))) 1536830207.633 * [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)))))) 1536830207.634 * [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)))))) 1536830207.635 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.635 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830207.635 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830207.635 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830207.636 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536830207.637 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536830207.640 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536830207.641 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536830207.643 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830207.644 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1536830207.644 * [misc]backup-simplify: Simplify 0 into 0 1536830207.644 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830207.645 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830207.647 * [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))))) 1536830207.647 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830207.647 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830207.647 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of -2 in n 1536830207.647 * [misc]backup-simplify: Simplify -2 into -2 1536830207.647 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536830207.647 * [misc]taylor: Taking taylor expansion of PI in n 1536830207.647 * [misc]backup-simplify: Simplify PI into PI 1536830207.647 * [misc]taylor: Taking taylor expansion of n in n 1536830207.647 * [misc]backup-simplify: Simplify 0 into 0 1536830207.647 * [misc]backup-simplify: Simplify 1 into 1 1536830207.648 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536830207.648 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536830207.648 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536830207.648 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830207.648 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830207.648 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.648 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.649 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830207.649 * [misc]taylor: Taking taylor expansion of k in n 1536830207.649 * [misc]backup-simplify: Simplify k into k 1536830207.649 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830207.649 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830207.649 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830207.649 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536830207.650 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830207.650 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830207.650 * [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))) 1536830207.651 * [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)))) 1536830207.652 * [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))))) 1536830207.653 * [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)))))) 1536830207.654 * [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)))))) 1536830207.656 * [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))))))))))) 1536830207.656 * * * [misc]progress: simplifying candidates 1536830207.656 * * * * [misc]progress: [ 1 / 91 ] simplifiying candidate # 1536830207.656 * * * * [misc]progress: [ 2 / 91 ] simplifiying candidate # 1536830207.656 * * * * [misc]progress: [ 3 / 91 ] simplifiying candidate # 1536830207.656 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536830207.657 * * [misc]simplify: iters left: 6 (11 enodes) 1536830207.660 * * [misc]simplify: iters left: 5 (21 enodes) 1536830207.666 * * [misc]simplify: iters left: 4 (47 enodes) 1536830207.683 * * [misc]simplify: iters left: 3 (113 enodes) 1536830207.746 * * [misc]simplify: iters left: 2 (328 enodes) 1536830208.188 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536830208.188 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))))) 1536830208.188 * * * * [misc]progress: [ 4 / 91 ] simplifiying candidate # 1536830208.189 * * * * [misc]progress: [ 5 / 91 ] simplifiying candidate # 1536830208.189 * [enter]simplify: Simplifying (* PI (* n 2)) 1536830208.190 * * [misc]simplify: iters left: 4 (5 enodes) 1536830208.192 * * [misc]simplify: iters left: 3 (9 enodes) 1536830208.196 * * [misc]simplify: iters left: 2 (15 enodes) 1536830208.198 * * [misc]simplify: iters left: 1 (17 enodes) 1536830208.201 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536830208.201 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))))))) 1536830208.201 * * * * [misc]progress: [ 6 / 91 ] simplifiying candidate # 1536830208.201 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830208.202 * * [misc]simplify: iters left: 5 (8 enodes) 1536830208.203 * * [misc]simplify: iters left: 4 (12 enodes) 1536830208.206 * * [misc]simplify: iters left: 3 (18 enodes) 1536830208.209 * * [misc]simplify: iters left: 2 (20 enodes) 1536830208.212 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830208.212 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))))))) 1536830208.212 * * * * [misc]progress: [ 7 / 91 ] simplifiying candidate # 1536830208.212 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536830208.213 * * [misc]simplify: iters left: 5 (6 enodes) 1536830208.214 * * [misc]simplify: iters left: 4 (8 enodes) 1536830208.215 * * [misc]simplify: iters left: 3 (11 enodes) 1536830208.217 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536830208.217 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1536830208.217 * * * * [misc]progress: [ 8 / 91 ] simplifiying candidate # 1536830208.217 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536830208.218 * * [misc]simplify: iters left: 5 (6 enodes) 1536830208.219 * * [misc]simplify: iters left: 4 (8 enodes) 1536830208.220 * * [misc]simplify: iters left: 3 (11 enodes) 1536830208.222 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536830208.222 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1536830208.222 * * * * [misc]progress: [ 9 / 91 ] simplifiying candidate # 1536830208.222 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536830208.222 * * [misc]simplify: iters left: 4 (5 enodes) 1536830208.224 * * [misc]simplify: iters left: 3 (7 enodes) 1536830208.226 * * [misc]simplify: iters left: 2 (10 enodes) 1536830208.230 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536830208.230 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))) 1536830208.230 * * * * [misc]progress: [ 10 / 91 ] simplifiying candidate # 1536830208.231 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830208.231 * * [misc]simplify: iters left: 5 (9 enodes) 1536830208.234 * * [misc]simplify: iters left: 4 (15 enodes) 1536830208.237 * * [misc]simplify: iters left: 3 (21 enodes) 1536830208.240 * * [misc]simplify: iters left: 2 (22 enodes) 1536830208.244 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830208.244 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))) 1536830208.244 * * * * [misc]progress: [ 11 / 91 ] simplifiying candidate # 1536830208.244 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536830208.245 * * [misc]simplify: iters left: 5 (9 enodes) 1536830208.247 * * [misc]simplify: iters left: 4 (15 enodes) 1536830208.250 * * [misc]simplify: iters left: 3 (21 enodes) 1536830208.253 * * [misc]simplify: iters left: 2 (22 enodes) 1536830208.257 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536830208.257 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))) 1536830208.257 * * * * [misc]progress: [ 12 / 91 ] simplifiying candidate # 1536830208.257 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536830208.258 * * [misc]simplify: iters left: 5 (7 enodes) 1536830208.259 * * [misc]simplify: iters left: 4 (9 enodes) 1536830208.261 * * [misc]simplify: iters left: 3 (12 enodes) 1536830208.263 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536830208.263 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830208.263 * * * * [misc]progress: [ 13 / 91 ] simplifiying candidate # 1536830208.263 * * * * [misc]progress: [ 14 / 91 ] simplifiying candidate # 1536830208.263 * * * * [misc]progress: [ 15 / 91 ] simplifiying candidate # 1536830208.263 * * * * [misc]progress: [ 16 / 91 ] simplifiying candidate # 1536830208.263 * * * * [misc]progress: [ 17 / 91 ] simplifiying candidate # 1536830208.264 * * * * [misc]progress: [ 18 / 91 ] simplifiying candidate # 1536830208.264 * * * * [misc]progress: [ 19 / 91 ] simplifiying candidate # 1536830208.264 * * * * [misc]progress: [ 20 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 21 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 22 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 23 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 24 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 25 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 26 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 27 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 28 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 29 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 30 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 31 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 32 / 91 ] simplifiying candidate # 1536830208.265 * * * * [misc]progress: [ 33 / 91 ] simplifiying candidate # 1536830208.265 * [enter]simplify: Simplifying (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830208.266 * * [misc]simplify: iters left: 6 (14 enodes) 1536830208.269 * * [misc]simplify: iters left: 5 (25 enodes) 1536830208.275 * * [misc]simplify: iters left: 4 (41 enodes) 1536830208.290 * * [misc]simplify: iters left: 3 (49 enodes) 1536830208.300 * * [misc]simplify: iters left: 2 (65 enodes) 1536830208.309 * * [misc]simplify: iters left: 1 (66 enodes) 1536830208.315 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1536830208.315 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1))) 1536830208.316 * * * * [misc]progress: [ 34 / 91 ] simplifiying candidate # 1536830208.316 * * * * [misc]progress: [ 35 / 91 ] simplifiying candidate # 1536830208.316 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1536830208.317 * * [misc]simplify: iters left: 6 (15 enodes) 1536830208.321 * * [misc]simplify: iters left: 5 (31 enodes) 1536830208.332 * * [misc]simplify: iters left: 4 (74 enodes) 1536830208.374 * * [misc]simplify: iters left: 3 (218 enodes) 1536830208.566 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* (* PI n) 2)) (log (sqrt k))) 1536830208.566 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* (* PI n) 2)) (log (sqrt k)))))) 1536830208.566 * * * * [misc]progress: [ 36 / 91 ] simplifiying candidate # 1536830208.567 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1536830208.568 * * [misc]simplify: iters left: 6 (15 enodes) 1536830208.576 * * [misc]simplify: iters left: 5 (31 enodes) 1536830208.591 * * [misc]simplify: iters left: 4 (74 enodes) 1536830208.622 * * [misc]simplify: iters left: 3 (218 enodes) 1536830208.777 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* (* PI n) 2)) (log (sqrt k))) 1536830208.777 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (log (* (* PI n) 2)) (log (sqrt k)))))) 1536830208.777 * * * * [misc]progress: [ 37 / 91 ] simplifiying candidate # 1536830208.777 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830208.778 * * [misc]simplify: iters left: 6 (15 enodes) 1536830208.782 * * [misc]simplify: iters left: 5 (25 enodes) 1536830208.788 * * [misc]simplify: iters left: 4 (46 enodes) 1536830208.810 * * [misc]simplify: iters left: 3 (106 enodes) 1536830208.866 * * [misc]simplify: iters left: 2 (355 enodes) 1536830209.296 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (+ (/ k 2) -1/2) (log (sqrt k))) 1536830209.296 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* (* PI 2) n)) (+ (/ k 2) -1/2) (log (sqrt k)))))) 1536830209.296 * * * * [misc]progress: [ 38 / 91 ] simplifiying candidate # 1536830209.296 * [enter]simplify: Simplifying (+ (log (sqrt k)) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830209.298 * * [misc]simplify: iters left: 6 (16 enodes) 1536830209.304 * * [misc]simplify: iters left: 5 (29 enodes) 1536830209.316 * * [misc]simplify: iters left: 4 (41 enodes) 1536830209.333 * * [misc]simplify: iters left: 3 (65 enodes) 1536830209.369 * * [misc]simplify: iters left: 2 (168 enodes) 1536830209.570 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (log (* (* n 2) PI)) (log (sqrt k))) 1536830209.570 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (log (* (* n 2) PI)) (log (sqrt k)))))) 1536830209.570 * * * * [misc]progress: [ 39 / 91 ] simplifiying candidate # 1536830209.570 * * * * [misc]progress: [ 40 / 91 ] simplifiying candidate # 1536830209.570 * * * * [misc]progress: [ 41 / 91 ] simplifiying candidate # 1536830209.570 * [enter]simplify: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536830209.572 * * [misc]simplify: iters left: 6 (18 enodes) 1536830209.582 * * [misc]simplify: iters left: 5 (39 enodes) 1536830209.604 * * [misc]simplify: iters left: 4 (88 enodes) 1536830209.632 * * [misc]simplify: iters left: 3 (159 enodes) 1536830209.674 * * [misc]simplify: iters left: 2 (281 enodes) 1536830209.833 * * [misc]simplify: iters left: 1 (424 enodes) 1536830210.075 * [exit]simplify: Simplified to (/ (/ (* (sqrt k) k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1536830210.075 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* (sqrt k) k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 1536830210.076 * * * * [misc]progress: [ 42 / 91 ] simplifiying candidate # 1536830210.076 * * * * [misc]progress: [ 43 / 91 ] simplifiying candidate # 1536830210.076 * * * * [misc]progress: [ 44 / 91 ] simplifiying candidate # 1536830210.076 * * * * [misc]progress: [ 45 / 91 ] simplifiying candidate # 1536830210.076 * * * * [misc]progress: [ 46 / 91 ] simplifiying candidate # 1536830210.076 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830210.077 * * [misc]simplify: iters left: 5 (10 enodes) 1536830210.082 * * [misc]simplify: iters left: 4 (16 enodes) 1536830210.089 * * [misc]simplify: iters left: 3 (25 enodes) 1536830210.097 * * [misc]simplify: iters left: 2 (26 enodes) 1536830210.105 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830210.105 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536830210.105 * * * * [misc]progress: [ 47 / 91 ] simplifiying candidate # 1536830210.106 * [enter]simplify: Simplifying (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830210.107 * * [misc]simplify: iters left: 6 (13 enodes) 1536830210.112 * * [misc]simplify: iters left: 5 (21 enodes) 1536830210.121 * * [misc]simplify: iters left: 4 (30 enodes) 1536830210.130 * * [misc]simplify: iters left: 3 (31 enodes) 1536830210.140 * [exit]simplify: Simplified to (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536830210.140 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1536830210.140 * * * * [misc]progress: [ 48 / 91 ] simplifiying candidate # 1536830210.141 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536830210.142 * * [misc]simplify: iters left: 6 (13 enodes) 1536830210.147 * * [misc]simplify: iters left: 5 (21 enodes) 1536830210.156 * * [misc]simplify: iters left: 4 (30 enodes) 1536830210.166 * * [misc]simplify: iters left: 3 (31 enodes) 1536830210.176 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536830210.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1536830210.176 * * * * [misc]progress: [ 49 / 91 ] simplifiying candidate # 1536830210.176 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830210.177 * * [misc]simplify: iters left: 6 (12 enodes) 1536830210.184 * * [misc]simplify: iters left: 5 (20 enodes) 1536830210.192 * * [misc]simplify: iters left: 4 (29 enodes) 1536830210.201 * * [misc]simplify: iters left: 3 (30 enodes) 1536830210.210 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536830210.210 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1536830210.210 * * * * [misc]progress: [ 50 / 91 ] simplifiying candidate # 1536830210.211 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830210.212 * * [misc]simplify: iters left: 6 (12 enodes) 1536830210.218 * * [misc]simplify: iters left: 5 (20 enodes) 1536830210.225 * * [misc]simplify: iters left: 4 (29 enodes) 1536830210.234 * * [misc]simplify: iters left: 3 (30 enodes) 1536830210.244 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536830210.244 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1536830210.244 * * * * [misc]progress: [ 51 / 91 ] simplifiying candidate # 1536830210.245 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536830210.245 * * [misc]simplify: iters left: 5 (8 enodes) 1536830210.249 * * [misc]simplify: iters left: 4 (12 enodes) 1536830210.254 * * [misc]simplify: iters left: 3 (18 enodes) 1536830210.261 * * [misc]simplify: iters left: 2 (20 enodes) 1536830210.268 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536830210.268 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2))))) 1536830210.268 * * * * [misc]progress: [ 52 / 91 ] simplifiying candidate # 1536830210.268 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830210.269 * * [misc]simplify: iters left: 4 (4 enodes) 1536830210.270 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830210.271 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536830210.271 * * * * [misc]progress: [ 53 / 91 ] simplifiying candidate # 1536830210.271 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536830210.271 * * [misc]simplify: iters left: 2 (3 enodes) 1536830210.272 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830210.272 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536830210.272 * * * * [misc]progress: [ 54 / 91 ] simplifiying candidate # 1536830210.272 * * * * [misc]progress: [ 55 / 91 ] simplifiying candidate # 1536830210.273 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830210.274 * * [misc]simplify: iters left: 5 (10 enodes) 1536830210.278 * * [misc]simplify: iters left: 4 (16 enodes) 1536830210.284 * * [misc]simplify: iters left: 3 (25 enodes) 1536830210.292 * * [misc]simplify: iters left: 2 (26 enodes) 1536830210.301 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830210.301 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536830210.301 * * * * [misc]progress: [ 56 / 91 ] simplifiying candidate # 1536830210.301 * * * * [misc]progress: [ 57 / 91 ] simplifiying candidate # 1536830210.301 * * * * [misc]progress: [ 58 / 91 ] simplifiying candidate # 1536830210.301 * * * * [misc]progress: [ 59 / 91 ] simplifiying candidate # 1536830210.301 * * * * [misc]progress: [ 60 / 91 ] simplifiying candidate # 1536830210.302 * [enter]simplify: Simplifying (- 1) 1536830210.302 * * [misc]simplify: iters left: 2 (2 enodes) 1536830210.303 * * [misc]simplify: iters left: 1 (5 enodes) 1536830210.304 * [exit]simplify: Simplified to -1 1536830210.304 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) -1)) 1536830210.304 * * * * [misc]progress: [ 61 / 91 ] simplifiying candidate # 1536830210.304 * [enter]simplify: Simplifying (- 1) 1536830210.304 * * [misc]simplify: iters left: 2 (2 enodes) 1536830210.305 * * [misc]simplify: iters left: 1 (5 enodes) 1536830210.306 * [exit]simplify: Simplified to -1 1536830210.306 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) -1)) 1536830210.306 * * * * [misc]progress: [ 62 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 63 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 64 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 65 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 66 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 67 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 68 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 69 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 70 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 71 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 72 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 73 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 74 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 75 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 76 / 91 ] simplifiying candidate # 1536830210.306 * * * * [misc]progress: [ 77 / 91 ] simplifiying candidate # 1536830210.306 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536830210.307 * * [misc]simplify: iters left: 6 (12 enodes) 1536830210.311 * * [misc]simplify: iters left: 5 (20 enodes) 1536830210.315 * * [misc]simplify: iters left: 4 (29 enodes) 1536830210.320 * * [misc]simplify: iters left: 3 (30 enodes) 1536830210.325 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536830210.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1536830210.325 * * * * [misc]progress: [ 78 / 91 ] simplifiying candidate # 1536830210.325 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830210.325 * * [misc]simplify: iters left: 5 (10 enodes) 1536830210.328 * * [misc]simplify: iters left: 4 (16 enodes) 1536830210.331 * * [misc]simplify: iters left: 3 (25 enodes) 1536830210.335 * * [misc]simplify: iters left: 2 (26 enodes) 1536830210.343 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830210.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536830210.343 * * * * [misc]progress: [ 79 / 91 ] simplifiying candidate # 1536830210.343 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536830210.344 * * [misc]simplify: iters left: 5 (10 enodes) 1536830210.349 * * [misc]simplify: iters left: 4 (16 enodes) 1536830210.355 * * [misc]simplify: iters left: 3 (25 enodes) 1536830210.363 * * [misc]simplify: iters left: 2 (26 enodes) 1536830210.371 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536830210.371 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536830210.372 * * * * [misc]progress: [ 80 / 91 ] simplifiying candidate # 1536830210.372 * [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))))) 1536830210.374 * * [misc]simplify: iters left: 6 (37 enodes) 1536830210.388 * * [misc]simplify: iters left: 5 (108 enodes) 1536830210.439 * * [misc]simplify: iters left: 4 (368 enodes) 1536830211.149 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1536830211.149 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))))))) 1536830211.149 * * * * [misc]progress: [ 81 / 91 ] simplifiying candidate # 1536830211.149 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536830211.151 * * [misc]simplify: iters left: 6 (15 enodes) 1536830211.160 * * [misc]simplify: iters left: 5 (33 enodes) 1536830211.177 * * [misc]simplify: iters left: 4 (64 enodes) 1536830211.201 * * [misc]simplify: iters left: 3 (179 enodes) 1536830211.407 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1536830211.407 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))))))) 1536830211.407 * * * * [misc]progress: [ 82 / 91 ] simplifiying candidate # 1536830211.407 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536830211.408 * * [misc]simplify: iters left: 6 (15 enodes) 1536830211.416 * * [misc]simplify: iters left: 5 (30 enodes) 1536830211.426 * * [misc]simplify: iters left: 4 (65 enodes) 1536830211.455 * * [misc]simplify: iters left: 3 (208 enodes) 1536830211.750 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1536830211.750 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))))))) 1536830211.750 * * * * [misc]progress: [ 83 / 91 ] simplifiying candidate # 1536830211.750 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830211.750 * * [misc]simplify: iters left: 4 (5 enodes) 1536830211.752 * * [misc]simplify: iters left: 3 (9 enodes) 1536830211.754 * * [misc]simplify: iters left: 2 (15 enodes) 1536830211.756 * * [misc]simplify: iters left: 1 (17 enodes) 1536830211.759 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830211.759 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536830211.759 * * * * [misc]progress: [ 84 / 91 ] simplifiying candidate # 1536830211.759 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830211.759 * * [misc]simplify: iters left: 4 (5 enodes) 1536830211.760 * * [misc]simplify: iters left: 3 (9 enodes) 1536830211.763 * * [misc]simplify: iters left: 2 (15 enodes) 1536830211.765 * * [misc]simplify: iters left: 1 (17 enodes) 1536830211.768 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830211.768 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536830211.768 * * * * [misc]progress: [ 85 / 91 ] simplifiying candidate # 1536830211.768 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536830211.769 * * [misc]simplify: iters left: 4 (5 enodes) 1536830211.770 * * [misc]simplify: iters left: 3 (9 enodes) 1536830211.772 * * [misc]simplify: iters left: 2 (15 enodes) 1536830211.775 * * [misc]simplify: iters left: 1 (17 enodes) 1536830211.777 * [exit]simplify: Simplified to (* (* PI n) 2) 1536830211.777 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536830211.777 * * * * [misc]progress: [ 86 / 91 ] simplifiying candidate # 1536830211.778 * [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))))))))))) 1536830211.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830211.778 * * * * [misc]progress: [ 87 / 91 ] simplifiying candidate # 1536830211.778 * [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)))))))))))) 1536830211.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830211.778 * * * * [misc]progress: [ 88 / 91 ] simplifiying candidate # 1536830211.778 * [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)))))))))))) 1536830211.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830211.778 * * * * [misc]progress: [ 89 / 91 ] simplifiying candidate # 1536830211.778 * [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))))))))))))) 1536830211.778 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830211.778 * * * * [misc]progress: [ 90 / 91 ] simplifiying candidate # 1536830211.778 * [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)))))))) 1536830211.779 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830211.779 * * * * [misc]progress: [ 91 / 91 ] simplifiying candidate # 1536830211.779 * [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))))))))))) 1536830211.779 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536830211.779 * * * [misc]progress: adding candidates to table 1536830213.982 * * [misc]progress: iteration 4 / 4 1536830213.982 * * * [misc]progress: picking best candidate 1536830214.102 * * * * [misc]pick: Picked # 1536830214.102 * * * [misc]progress: localizing error 1536830214.167 * * * [misc]progress: generating rewritten candidates 1536830214.168 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) 1536830214.181 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) 1536830214.197 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1536830214.247 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1536830214.317 * * * [misc]progress: generating series expansions 1536830214.317 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) 1536830214.317 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1536830214.317 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1536830214.317 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536830214.317 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536830214.317 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536830214.317 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.318 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.318 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.318 * [misc]taylor: Taking taylor expansion of k in k 1536830214.318 * [misc]backup-simplify: Simplify 0 into 0 1536830214.318 * [misc]backup-simplify: Simplify 1 into 1 1536830214.318 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.318 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.318 * [misc]backup-simplify: Simplify PI into PI 1536830214.318 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.318 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.318 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.318 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.319 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.319 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536830214.319 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536830214.319 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536830214.319 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536830214.319 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.319 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.319 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.319 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.320 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.320 * [misc]taylor: Taking taylor expansion of k in k 1536830214.320 * [misc]backup-simplify: Simplify 0 into 0 1536830214.320 * [misc]backup-simplify: Simplify 1 into 1 1536830214.320 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.320 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.320 * [misc]backup-simplify: Simplify PI into PI 1536830214.320 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.320 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.320 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.320 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.320 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.321 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536830214.321 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1536830214.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536830214.323 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830214.323 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.323 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.324 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1536830214.326 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1536830214.327 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1536830214.330 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1536830214.330 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.330 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.330 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.331 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1536830214.334 * [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))) 1536830214.336 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1536830214.340 * [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)))) 1536830214.341 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.341 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1536830214.341 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.341 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.341 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.341 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of k in k 1536830214.341 * [misc]backup-simplify: Simplify 0 into 0 1536830214.341 * [misc]backup-simplify: Simplify 1 into 1 1536830214.341 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.341 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.341 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.341 * [misc]backup-simplify: Simplify PI into PI 1536830214.342 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.342 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.342 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.342 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.343 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536830214.343 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.343 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.343 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536830214.343 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536830214.343 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.343 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.343 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.343 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.344 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.344 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.344 * [misc]taylor: Taking taylor expansion of k in k 1536830214.344 * [misc]backup-simplify: Simplify 0 into 0 1536830214.344 * [misc]backup-simplify: Simplify 1 into 1 1536830214.344 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.344 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.344 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.344 * [misc]backup-simplify: Simplify PI into PI 1536830214.344 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.344 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.345 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.345 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.345 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536830214.346 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.346 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify 0 into 0 1536830214.346 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1536830214.347 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.347 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1536830214.347 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.347 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of k in k 1536830214.347 * [misc]backup-simplify: Simplify 0 into 0 1536830214.347 * [misc]backup-simplify: Simplify 1 into 1 1536830214.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.347 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.347 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.347 * [misc]backup-simplify: Simplify PI into PI 1536830214.348 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.348 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.348 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.349 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.349 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.349 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.349 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536830214.349 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536830214.349 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.349 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.349 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.350 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.350 * [misc]taylor: Taking taylor expansion of k in k 1536830214.350 * [misc]backup-simplify: Simplify 0 into 0 1536830214.350 * [misc]backup-simplify: Simplify 1 into 1 1536830214.350 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.350 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.350 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.350 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.350 * [misc]backup-simplify: Simplify PI into PI 1536830214.350 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.350 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.351 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.351 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.352 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.352 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify 0 into 0 1536830214.352 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1536830214.352 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) 1536830214.353 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1536830214.353 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1536830214.353 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.353 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.353 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.353 * [misc]taylor: Taking taylor expansion of k in k 1536830214.353 * [misc]backup-simplify: Simplify 0 into 0 1536830214.353 * [misc]backup-simplify: Simplify 1 into 1 1536830214.353 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536830214.353 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.354 * [misc]backup-simplify: Simplify 2 into 2 1536830214.354 * [misc]taylor: Taking taylor expansion of n in k 1536830214.354 * [misc]backup-simplify: Simplify n into n 1536830214.354 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536830214.354 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536830214.354 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.354 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.354 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.354 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536830214.354 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536830214.355 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.355 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.355 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.355 * [misc]taylor: Taking taylor expansion of k in n 1536830214.355 * [misc]backup-simplify: Simplify k into k 1536830214.355 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.355 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.355 * [misc]backup-simplify: Simplify 2 into 2 1536830214.355 * [misc]taylor: Taking taylor expansion of n in n 1536830214.355 * [misc]backup-simplify: Simplify 0 into 0 1536830214.355 * [misc]backup-simplify: Simplify 1 into 1 1536830214.355 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.355 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.356 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.356 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830214.356 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830214.356 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830214.356 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.356 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536830214.357 * [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)))) 1536830214.357 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.357 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.357 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.357 * [misc]taylor: Taking taylor expansion of k in n 1536830214.357 * [misc]backup-simplify: Simplify k into k 1536830214.357 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.357 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.357 * [misc]backup-simplify: Simplify 2 into 2 1536830214.357 * [misc]taylor: Taking taylor expansion of n in n 1536830214.357 * [misc]backup-simplify: Simplify 0 into 0 1536830214.357 * [misc]backup-simplify: Simplify 1 into 1 1536830214.357 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.358 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.358 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.358 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830214.358 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830214.358 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830214.358 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.359 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536830214.359 * [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)))) 1536830214.359 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1536830214.359 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1536830214.359 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1536830214.359 * [misc]taylor: Taking taylor expansion of (log 2) in k 1536830214.359 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.359 * [misc]backup-simplify: Simplify 2 into 2 1536830214.359 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.360 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830214.360 * [misc]taylor: Taking taylor expansion of n in k 1536830214.360 * [misc]backup-simplify: Simplify n into n 1536830214.360 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830214.360 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.360 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.360 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.360 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.360 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.360 * [misc]taylor: Taking taylor expansion of k in k 1536830214.360 * [misc]backup-simplify: Simplify 0 into 0 1536830214.360 * [misc]backup-simplify: Simplify 1 into 1 1536830214.360 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1536830214.360 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.360 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.361 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.361 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1536830214.361 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1536830214.361 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1536830214.362 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.364 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.365 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536830214.365 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.365 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.365 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.366 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1536830214.367 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.367 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.367 * [misc]backup-simplify: Simplify 0 into 0 1536830214.367 * [misc]backup-simplify: Simplify 0 into 0 1536830214.368 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830214.368 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.368 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.371 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.372 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536830214.372 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.372 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1536830214.373 * [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))))) 1536830214.374 * [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))))) 1536830214.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536830214.377 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536830214.378 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536830214.378 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.378 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.378 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.378 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1536830214.380 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1536830214.380 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.380 * [misc]backup-simplify: Simplify 0 into 0 1536830214.380 * [misc]backup-simplify: Simplify 0 into 0 1536830214.380 * [misc]backup-simplify: Simplify 0 into 0 1536830214.380 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.380 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.380 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.383 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536830214.384 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536830214.384 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.384 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1536830214.386 * [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))))) 1536830214.387 * [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))))) 1536830214.390 * [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))))) 1536830214.391 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.391 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536830214.391 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.391 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.391 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.391 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of k in k 1536830214.391 * [misc]backup-simplify: Simplify 0 into 0 1536830214.391 * [misc]backup-simplify: Simplify 1 into 1 1536830214.391 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.391 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536830214.391 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.391 * [misc]backup-simplify: Simplify 2 into 2 1536830214.391 * [misc]taylor: Taking taylor expansion of n in k 1536830214.391 * [misc]backup-simplify: Simplify n into n 1536830214.391 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536830214.391 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536830214.391 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.392 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.392 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.392 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536830214.392 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.392 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of k in n 1536830214.392 * [misc]backup-simplify: Simplify k into k 1536830214.392 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.392 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.392 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.392 * [misc]backup-simplify: Simplify 2 into 2 1536830214.392 * [misc]taylor: Taking taylor expansion of n in n 1536830214.392 * [misc]backup-simplify: Simplify 0 into 0 1536830214.392 * [misc]backup-simplify: Simplify 1 into 1 1536830214.392 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.392 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.393 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.393 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.393 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.393 * [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))) 1536830214.393 * [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)))) 1536830214.393 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.393 * [misc]taylor: Taking taylor expansion of k in n 1536830214.394 * [misc]backup-simplify: Simplify k into k 1536830214.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.394 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.394 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.394 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.394 * [misc]backup-simplify: Simplify 2 into 2 1536830214.394 * [misc]taylor: Taking taylor expansion of n in n 1536830214.394 * [misc]backup-simplify: Simplify 0 into 0 1536830214.394 * [misc]backup-simplify: Simplify 1 into 1 1536830214.394 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.394 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.394 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.394 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.394 * [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))) 1536830214.395 * [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)))) 1536830214.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of k in k 1536830214.395 * [misc]backup-simplify: Simplify 0 into 0 1536830214.395 * [misc]backup-simplify: Simplify 1 into 1 1536830214.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.395 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of (log 2) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.395 * [misc]backup-simplify: Simplify 2 into 2 1536830214.395 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.395 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830214.395 * [misc]taylor: Taking taylor expansion of n in k 1536830214.395 * [misc]backup-simplify: Simplify n into n 1536830214.395 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830214.395 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.396 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.396 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.396 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830214.396 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1536830214.396 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1536830214.396 * [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)))) 1536830214.396 * [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)))) 1536830214.397 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536830214.398 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.398 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.398 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.398 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.399 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.399 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.399 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536830214.400 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.400 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.400 * [misc]backup-simplify: Simplify 0 into 0 1536830214.400 * [misc]backup-simplify: Simplify 0 into 0 1536830214.400 * [misc]backup-simplify: Simplify 0 into 0 1536830214.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.403 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536830214.403 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830214.403 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830214.403 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.403 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.404 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1536830214.405 * [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 1536830214.405 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.405 * [misc]backup-simplify: Simplify 0 into 0 1536830214.405 * [misc]backup-simplify: Simplify 0 into 0 1536830214.405 * [misc]backup-simplify: Simplify 0 into 0 1536830214.405 * [misc]backup-simplify: Simplify 0 into 0 1536830214.406 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.413 * [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 1536830214.413 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830214.413 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830214.414 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.414 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.414 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.414 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1536830214.416 * [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 1536830214.416 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.416 * [misc]backup-simplify: Simplify 0 into 0 1536830214.416 * [misc]backup-simplify: Simplify 0 into 0 1536830214.417 * [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)))) 1536830214.417 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.417 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536830214.417 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.417 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of k in k 1536830214.417 * [misc]backup-simplify: Simplify 0 into 0 1536830214.417 * [misc]backup-simplify: Simplify 1 into 1 1536830214.417 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.417 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.417 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.417 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536830214.417 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.417 * [misc]backup-simplify: Simplify -2 into -2 1536830214.417 * [misc]taylor: Taking taylor expansion of n in k 1536830214.417 * [misc]backup-simplify: Simplify n into n 1536830214.417 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536830214.417 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536830214.417 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.418 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.418 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536830214.418 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.418 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.418 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of k in n 1536830214.418 * [misc]backup-simplify: Simplify k into k 1536830214.418 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.418 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.418 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.418 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.418 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.418 * [misc]backup-simplify: Simplify -2 into -2 1536830214.418 * [misc]taylor: Taking taylor expansion of n in n 1536830214.418 * [misc]backup-simplify: Simplify 0 into 0 1536830214.418 * [misc]backup-simplify: Simplify 1 into 1 1536830214.418 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.418 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.418 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.418 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.419 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.419 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1536830214.419 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1536830214.419 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of k in n 1536830214.419 * [misc]backup-simplify: Simplify k into k 1536830214.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.419 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.419 * [misc]backup-simplify: Simplify -2 into -2 1536830214.419 * [misc]taylor: Taking taylor expansion of n in n 1536830214.419 * [misc]backup-simplify: Simplify 0 into 0 1536830214.419 * [misc]backup-simplify: Simplify 1 into 1 1536830214.420 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.420 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.420 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.420 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.420 * [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))) 1536830214.420 * [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)))) 1536830214.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1536830214.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.421 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of k in k 1536830214.421 * [misc]backup-simplify: Simplify 0 into 0 1536830214.421 * [misc]backup-simplify: Simplify 1 into 1 1536830214.421 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.421 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.421 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.421 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of (log -2) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.421 * [misc]backup-simplify: Simplify -2 into -2 1536830214.421 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.421 * [misc]taylor: Taking taylor expansion of (log n) in k 1536830214.421 * [misc]taylor: Taking taylor expansion of n in k 1536830214.421 * [misc]backup-simplify: Simplify n into n 1536830214.421 * [misc]backup-simplify: Simplify (log n) into (log n) 1536830214.421 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.421 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.421 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536830214.421 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1536830214.422 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1536830214.422 * [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)))) 1536830214.422 * [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)))) 1536830214.422 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536830214.424 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536830214.424 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.424 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.424 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.424 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536830214.425 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.425 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.425 * [misc]backup-simplify: Simplify 0 into 0 1536830214.425 * [misc]backup-simplify: Simplify 0 into 0 1536830214.425 * [misc]backup-simplify: Simplify 0 into 0 1536830214.426 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.428 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1536830214.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830214.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536830214.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.429 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1536830214.431 * [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 1536830214.431 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.431 * [misc]backup-simplify: Simplify 0 into 0 1536830214.431 * [misc]backup-simplify: Simplify 0 into 0 1536830214.431 * [misc]backup-simplify: Simplify 0 into 0 1536830214.431 * [misc]backup-simplify: Simplify 0 into 0 1536830214.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.435 * [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 1536830214.436 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536830214.436 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536830214.436 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.437 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1536830214.441 * [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 1536830214.441 * [misc]taylor: Taking taylor expansion of 0 in k 1536830214.441 * [misc]backup-simplify: Simplify 0 into 0 1536830214.441 * [misc]backup-simplify: Simplify 0 into 0 1536830214.441 * [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))))) 1536830214.441 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1536830214.442 * [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)) 1536830214.442 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536830214.442 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.442 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.442 * [misc]taylor: Taking taylor expansion of k in n 1536830214.442 * [misc]backup-simplify: Simplify k into k 1536830214.442 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.442 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.442 * [misc]backup-simplify: Simplify 2 into 2 1536830214.442 * [misc]taylor: Taking taylor expansion of n in n 1536830214.442 * [misc]backup-simplify: Simplify 0 into 0 1536830214.443 * [misc]backup-simplify: Simplify 1 into 1 1536830214.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.443 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.443 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.443 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830214.443 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830214.443 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830214.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.444 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536830214.444 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1536830214.445 * [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))))) 1536830214.445 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830214.445 * [misc]taylor: Taking taylor expansion of k in n 1536830214.445 * [misc]backup-simplify: Simplify k into k 1536830214.445 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830214.445 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830214.445 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.445 * [misc]taylor: Taking taylor expansion of k in k 1536830214.445 * [misc]backup-simplify: Simplify 0 into 0 1536830214.445 * [misc]backup-simplify: Simplify 1 into 1 1536830214.445 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536830214.445 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.445 * [misc]backup-simplify: Simplify 2 into 2 1536830214.446 * [misc]taylor: Taking taylor expansion of n in k 1536830214.446 * [misc]backup-simplify: Simplify n into n 1536830214.446 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536830214.446 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536830214.446 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.446 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.446 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.446 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536830214.446 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536830214.447 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1536830214.447 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830214.447 * [misc]taylor: Taking taylor expansion of k in k 1536830214.447 * [misc]backup-simplify: Simplify 0 into 0 1536830214.447 * [misc]backup-simplify: Simplify 1 into 1 1536830214.447 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.447 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.447 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.448 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.448 * [misc]taylor: Taking taylor expansion of k in k 1536830214.448 * [misc]backup-simplify: Simplify 0 into 0 1536830214.448 * [misc]backup-simplify: Simplify 1 into 1 1536830214.448 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536830214.448 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.448 * [misc]backup-simplify: Simplify 2 into 2 1536830214.448 * [misc]taylor: Taking taylor expansion of n in k 1536830214.448 * [misc]backup-simplify: Simplify n into n 1536830214.448 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536830214.448 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536830214.448 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.449 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.449 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.449 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536830214.449 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536830214.449 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1536830214.449 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830214.449 * [misc]taylor: Taking taylor expansion of k in k 1536830214.449 * [misc]backup-simplify: Simplify 0 into 0 1536830214.449 * [misc]backup-simplify: Simplify 1 into 1 1536830214.449 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.450 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.450 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1536830214.450 * [misc]taylor: Taking taylor expansion of 0 in n 1536830214.450 * [misc]backup-simplify: Simplify 0 into 0 1536830214.450 * [misc]backup-simplify: Simplify 0 into 0 1536830214.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1536830214.452 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1536830214.452 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830214.452 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.452 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.452 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1536830214.453 * [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)))) 1536830214.455 * [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)))) 1536830214.457 * [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)))) 1536830214.457 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1536830214.457 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1536830214.457 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.457 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.457 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1536830214.457 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536830214.457 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536830214.457 * [misc]taylor: Taking taylor expansion of n in n 1536830214.457 * [misc]backup-simplify: Simplify 0 into 0 1536830214.457 * [misc]backup-simplify: Simplify 1 into 1 1536830214.457 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.457 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.458 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.458 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830214.458 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.458 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.458 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830214.458 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830214.459 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.460 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830214.461 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1536830214.462 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.462 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.462 * [misc]backup-simplify: Simplify 0 into 0 1536830214.464 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.464 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1536830214.466 * [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 1536830214.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.467 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.467 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.467 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1536830214.469 * [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))) 1536830214.479 * [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))))) 1536830214.490 * [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)))))) 1536830214.490 * [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 1536830214.490 * [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 1536830214.490 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1536830214.490 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.490 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.490 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1536830214.490 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1536830214.490 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830214.490 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.490 * [misc]backup-simplify: Simplify 2 into 2 1536830214.491 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830214.491 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830214.491 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1536830214.491 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.491 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.491 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.491 * [misc]backup-simplify: Simplify 2 into 2 1536830214.491 * [misc]taylor: Taking taylor expansion of n in n 1536830214.491 * [misc]backup-simplify: Simplify 0 into 0 1536830214.491 * [misc]backup-simplify: Simplify 1 into 1 1536830214.491 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.491 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.492 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.492 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.492 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830214.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830214.492 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of n in n 1536830214.492 * [misc]backup-simplify: Simplify 0 into 0 1536830214.492 * [misc]backup-simplify: Simplify 1 into 1 1536830214.492 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.492 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.492 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.492 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1536830214.492 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.492 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.492 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1536830214.493 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536830214.493 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536830214.493 * [misc]taylor: Taking taylor expansion of n in n 1536830214.493 * [misc]backup-simplify: Simplify 0 into 0 1536830214.493 * [misc]backup-simplify: Simplify 1 into 1 1536830214.493 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.493 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.493 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536830214.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.493 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536830214.493 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536830214.494 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.494 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536830214.495 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1536830214.495 * [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))) 1536830214.496 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.496 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536830214.496 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.498 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536830214.499 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1536830214.500 * [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))))))) 1536830214.501 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1536830214.506 * [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))))))) 1536830214.506 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.506 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536830214.507 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1536830214.508 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.513 * [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))))))))) 1536830214.518 * [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))))))) 1536830214.526 * [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))))))) 1536830214.527 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536830214.527 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830214.527 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.528 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.529 * [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))) 1536830214.529 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.530 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536830214.541 * [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)))))))))))) 1536830214.541 * [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))) 1536830214.541 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1536830214.541 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.541 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.541 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.541 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.542 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.542 * [misc]taylor: Taking taylor expansion of k in n 1536830214.542 * [misc]backup-simplify: Simplify k into k 1536830214.542 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.542 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.542 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.542 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.542 * [misc]backup-simplify: Simplify 2 into 2 1536830214.542 * [misc]taylor: Taking taylor expansion of n in n 1536830214.542 * [misc]backup-simplify: Simplify 0 into 0 1536830214.542 * [misc]backup-simplify: Simplify 1 into 1 1536830214.542 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.542 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.542 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.542 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.542 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.543 * [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))) 1536830214.544 * [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)))) 1536830214.544 * [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))))) 1536830214.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830214.544 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.544 * [misc]taylor: Taking taylor expansion of k in n 1536830214.544 * [misc]backup-simplify: Simplify k into k 1536830214.544 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.544 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830214.544 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.545 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830214.545 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of k in k 1536830214.545 * [misc]backup-simplify: Simplify 0 into 0 1536830214.545 * [misc]backup-simplify: Simplify 1 into 1 1536830214.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.545 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536830214.545 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.545 * [misc]backup-simplify: Simplify 2 into 2 1536830214.545 * [misc]taylor: Taking taylor expansion of n in k 1536830214.545 * [misc]backup-simplify: Simplify n into n 1536830214.545 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536830214.546 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536830214.546 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.546 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.546 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.546 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536830214.546 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.546 * [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))))) 1536830214.547 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of k in k 1536830214.547 * [misc]backup-simplify: Simplify 0 into 0 1536830214.547 * [misc]backup-simplify: Simplify 1 into 1 1536830214.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.547 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.547 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.547 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536830214.547 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.548 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.548 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.548 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.548 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.548 * [misc]taylor: Taking taylor expansion of k in k 1536830214.548 * [misc]backup-simplify: Simplify 0 into 0 1536830214.548 * [misc]backup-simplify: Simplify 1 into 1 1536830214.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.548 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536830214.548 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536830214.548 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.548 * [misc]backup-simplify: Simplify 2 into 2 1536830214.548 * [misc]taylor: Taking taylor expansion of n in k 1536830214.548 * [misc]backup-simplify: Simplify n into n 1536830214.548 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536830214.548 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536830214.548 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.548 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.548 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.548 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536830214.548 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.549 * [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))))) 1536830214.549 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830214.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.549 * [misc]taylor: Taking taylor expansion of k in k 1536830214.549 * [misc]backup-simplify: Simplify 0 into 0 1536830214.549 * [misc]backup-simplify: Simplify 1 into 1 1536830214.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.549 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.549 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.549 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536830214.549 * [misc]taylor: Taking taylor expansion of 0 in n 1536830214.549 * [misc]backup-simplify: Simplify 0 into 0 1536830214.549 * [misc]backup-simplify: Simplify 0 into 0 1536830214.550 * [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 1536830214.550 * [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))))))) 1536830214.550 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.550 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.550 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.550 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.550 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of k in n 1536830214.550 * [misc]backup-simplify: Simplify k into k 1536830214.550 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.550 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.550 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.550 * [misc]backup-simplify: Simplify 2 into 2 1536830214.550 * [misc]taylor: Taking taylor expansion of n in n 1536830214.550 * [misc]backup-simplify: Simplify 0 into 0 1536830214.550 * [misc]backup-simplify: Simplify 1 into 1 1536830214.550 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.550 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.551 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.551 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.551 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.551 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.551 * [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))) 1536830214.551 * [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)))) 1536830214.552 * [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))))) 1536830214.552 * [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))))) 1536830214.553 * [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))))))) 1536830214.553 * [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))))))) 1536830214.553 * [misc]backup-simplify: Simplify 0 into 0 1536830214.553 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830214.554 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.555 * [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 1536830214.555 * [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))))))) 1536830214.556 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.556 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.556 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.556 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.556 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of k in n 1536830214.556 * [misc]backup-simplify: Simplify k into k 1536830214.556 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.556 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.556 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.556 * [misc]backup-simplify: Simplify 2 into 2 1536830214.556 * [misc]taylor: Taking taylor expansion of n in n 1536830214.556 * [misc]backup-simplify: Simplify 0 into 0 1536830214.556 * [misc]backup-simplify: Simplify 1 into 1 1536830214.556 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.557 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.557 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.557 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.557 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.558 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.558 * [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))) 1536830214.558 * [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)))) 1536830214.559 * [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))))) 1536830214.559 * [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))))) 1536830214.559 * [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))))))) 1536830214.560 * [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))))))) 1536830214.560 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536830214.563 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.564 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.564 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.564 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.564 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.564 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.565 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536830214.566 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.567 * [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 1536830214.567 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1536830214.568 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.568 * [misc]backup-simplify: Simplify 0 into 0 1536830214.568 * [misc]backup-simplify: Simplify 0 into 0 1536830214.568 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.569 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830214.570 * [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 1536830214.570 * [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))))))) 1536830214.570 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.570 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.571 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.571 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.571 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.571 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of k in n 1536830214.571 * [misc]backup-simplify: Simplify k into k 1536830214.571 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.571 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.571 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.571 * [misc]backup-simplify: Simplify 2 into 2 1536830214.571 * [misc]taylor: Taking taylor expansion of n in n 1536830214.571 * [misc]backup-simplify: Simplify 0 into 0 1536830214.571 * [misc]backup-simplify: Simplify 1 into 1 1536830214.571 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.571 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.572 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.572 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.572 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.572 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.572 * [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))) 1536830214.573 * [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)))) 1536830214.573 * [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))))) 1536830214.573 * [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))))) 1536830214.574 * [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))))))) 1536830214.574 * [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))))))) 1536830214.576 * [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))))))))))) 1536830214.577 * [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))) 1536830214.577 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536830214.577 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of -1 in n 1536830214.577 * [misc]backup-simplify: Simplify -1 into -1 1536830214.577 * [misc]taylor: Taking taylor expansion of k in n 1536830214.577 * [misc]backup-simplify: Simplify k into k 1536830214.577 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830214.577 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830214.577 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830214.577 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830214.577 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.577 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.577 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.577 * [misc]taylor: Taking taylor expansion of k in n 1536830214.578 * [misc]backup-simplify: Simplify k into k 1536830214.578 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.578 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.578 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.578 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.578 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.578 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.578 * [misc]backup-simplify: Simplify -2 into -2 1536830214.578 * [misc]taylor: Taking taylor expansion of n in n 1536830214.578 * [misc]backup-simplify: Simplify 0 into 0 1536830214.578 * [misc]backup-simplify: Simplify 1 into 1 1536830214.578 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.578 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.578 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.578 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.579 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.579 * [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))) 1536830214.579 * [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)))) 1536830214.580 * [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))))) 1536830214.580 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830214.580 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830214.580 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830214.580 * [misc]taylor: Taking taylor expansion of -1 in k 1536830214.580 * [misc]backup-simplify: Simplify -1 into -1 1536830214.580 * [misc]taylor: Taking taylor expansion of k in k 1536830214.580 * [misc]backup-simplify: Simplify 0 into 0 1536830214.580 * [misc]backup-simplify: Simplify 1 into 1 1536830214.580 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830214.580 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.581 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830214.581 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.581 * [misc]taylor: Taking taylor expansion of k in k 1536830214.581 * [misc]backup-simplify: Simplify 0 into 0 1536830214.581 * [misc]backup-simplify: Simplify 1 into 1 1536830214.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.582 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536830214.582 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536830214.582 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.582 * [misc]backup-simplify: Simplify -2 into -2 1536830214.582 * [misc]taylor: Taking taylor expansion of n in k 1536830214.582 * [misc]backup-simplify: Simplify n into n 1536830214.582 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536830214.582 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536830214.582 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.582 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536830214.583 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.583 * [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))) 1536830214.583 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536830214.583 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830214.583 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830214.583 * [misc]taylor: Taking taylor expansion of -1 in k 1536830214.583 * [misc]backup-simplify: Simplify -1 into -1 1536830214.583 * [misc]taylor: Taking taylor expansion of k in k 1536830214.583 * [misc]backup-simplify: Simplify 0 into 0 1536830214.583 * [misc]backup-simplify: Simplify 1 into 1 1536830214.583 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830214.583 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.584 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830214.584 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of k in k 1536830214.584 * [misc]backup-simplify: Simplify 0 into 0 1536830214.584 * [misc]backup-simplify: Simplify 1 into 1 1536830214.584 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.584 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.584 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536830214.584 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.584 * [misc]backup-simplify: Simplify -2 into -2 1536830214.584 * [misc]taylor: Taking taylor expansion of n in k 1536830214.584 * [misc]backup-simplify: Simplify n into n 1536830214.585 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536830214.585 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536830214.585 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.585 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.585 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536830214.585 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.585 * [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))) 1536830214.586 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.586 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.586 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.586 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of k in n 1536830214.586 * [misc]backup-simplify: Simplify k into k 1536830214.586 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.586 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.586 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.586 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.586 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.586 * [misc]backup-simplify: Simplify -2 into -2 1536830214.586 * [misc]taylor: Taking taylor expansion of n in n 1536830214.586 * [misc]backup-simplify: Simplify 0 into 0 1536830214.586 * [misc]backup-simplify: Simplify 1 into 1 1536830214.586 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.587 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.587 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.587 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.587 * [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))) 1536830214.588 * [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)))) 1536830214.588 * [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))))) 1536830214.589 * [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))))) 1536830214.589 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830214.590 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.591 * [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))))) 1536830214.591 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.591 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.591 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of k in n 1536830214.591 * [misc]backup-simplify: Simplify k into k 1536830214.591 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.591 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.591 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.591 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.591 * [misc]backup-simplify: Simplify -2 into -2 1536830214.591 * [misc]taylor: Taking taylor expansion of n in n 1536830214.591 * [misc]backup-simplify: Simplify 0 into 0 1536830214.591 * [misc]backup-simplify: Simplify 1 into 1 1536830214.592 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.592 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.592 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.592 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.593 * [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))) 1536830214.593 * [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)))) 1536830214.593 * [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))))) 1536830214.594 * [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))))) 1536830214.594 * [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))))))) 1536830214.594 * [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))))))) 1536830214.595 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536830214.597 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536830214.598 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.598 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.598 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.598 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.599 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536830214.600 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.601 * [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 1536830214.601 * [misc]backup-simplify: Simplify 0 into 0 1536830214.601 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.603 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830214.604 * [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))))) 1536830214.604 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.604 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.604 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.604 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of k in n 1536830214.604 * [misc]backup-simplify: Simplify k into k 1536830214.604 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.604 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.604 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.604 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.604 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.604 * [misc]backup-simplify: Simplify -2 into -2 1536830214.604 * [misc]taylor: Taking taylor expansion of n in n 1536830214.604 * [misc]backup-simplify: Simplify 0 into 0 1536830214.604 * [misc]backup-simplify: Simplify 1 into 1 1536830214.605 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.605 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.605 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.605 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.605 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.606 * [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))) 1536830214.606 * [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)))) 1536830214.606 * [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))))) 1536830214.607 * [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))))) 1536830214.607 * [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))))))) 1536830214.608 * [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))))))) 1536830214.609 * [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))))))))) 1536830214.610 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1536830214.610 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1536830214.610 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1536830214.610 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.611 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.611 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.611 * [misc]taylor: Taking taylor expansion of k in n 1536830214.611 * [misc]backup-simplify: Simplify k into k 1536830214.611 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.611 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.611 * [misc]backup-simplify: Simplify 2 into 2 1536830214.611 * [misc]taylor: Taking taylor expansion of n in n 1536830214.611 * [misc]backup-simplify: Simplify 0 into 0 1536830214.611 * [misc]backup-simplify: Simplify 1 into 1 1536830214.611 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.611 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.612 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.612 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830214.612 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830214.612 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830214.612 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.613 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536830214.613 * [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)))) 1536830214.613 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.613 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.613 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.613 * [misc]taylor: Taking taylor expansion of k in n 1536830214.613 * [misc]backup-simplify: Simplify k into k 1536830214.613 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.613 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.613 * [misc]backup-simplify: Simplify PI into PI 1536830214.614 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.614 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536830214.614 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536830214.614 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536830214.614 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1536830214.615 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1536830214.615 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1536830214.616 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1536830214.616 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536830214.616 * [misc]taylor: Taking taylor expansion of k in n 1536830214.616 * [misc]backup-simplify: Simplify k into k 1536830214.616 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536830214.616 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536830214.616 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.616 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.616 * [misc]taylor: Taking taylor expansion of k in k 1536830214.616 * [misc]backup-simplify: Simplify 0 into 0 1536830214.616 * [misc]backup-simplify: Simplify 1 into 1 1536830214.616 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536830214.617 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536830214.617 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.617 * [misc]backup-simplify: Simplify 2 into 2 1536830214.617 * [misc]taylor: Taking taylor expansion of n in k 1536830214.617 * [misc]backup-simplify: Simplify n into n 1536830214.617 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536830214.617 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536830214.617 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.617 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.617 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.617 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536830214.617 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536830214.617 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.618 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.618 * [misc]taylor: Taking taylor expansion of k in k 1536830214.618 * [misc]backup-simplify: Simplify 0 into 0 1536830214.618 * [misc]backup-simplify: Simplify 1 into 1 1536830214.618 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.618 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.618 * [misc]backup-simplify: Simplify PI into PI 1536830214.618 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.618 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.619 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.619 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.619 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.620 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536830214.621 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1536830214.621 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1536830214.621 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830214.621 * [misc]taylor: Taking taylor expansion of k in k 1536830214.621 * [misc]backup-simplify: Simplify 0 into 0 1536830214.621 * [misc]backup-simplify: Simplify 1 into 1 1536830214.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.622 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.622 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.623 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.623 * [misc]taylor: Taking taylor expansion of k in k 1536830214.623 * [misc]backup-simplify: Simplify 0 into 0 1536830214.623 * [misc]backup-simplify: Simplify 1 into 1 1536830214.623 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536830214.623 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536830214.623 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.623 * [misc]backup-simplify: Simplify 2 into 2 1536830214.623 * [misc]taylor: Taking taylor expansion of n in k 1536830214.623 * [misc]backup-simplify: Simplify n into n 1536830214.623 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536830214.623 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536830214.623 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.623 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.623 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.624 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536830214.624 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536830214.624 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.624 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.624 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.624 * [misc]taylor: Taking taylor expansion of k in k 1536830214.624 * [misc]backup-simplify: Simplify 0 into 0 1536830214.624 * [misc]backup-simplify: Simplify 1 into 1 1536830214.624 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.624 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.624 * [misc]backup-simplify: Simplify PI into PI 1536830214.625 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.625 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536830214.625 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.625 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.626 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.626 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536830214.627 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1536830214.627 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1536830214.627 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536830214.627 * [misc]taylor: Taking taylor expansion of k in k 1536830214.627 * [misc]backup-simplify: Simplify 0 into 0 1536830214.627 * [misc]backup-simplify: Simplify 1 into 1 1536830214.628 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.628 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.629 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1536830214.629 * [misc]taylor: Taking taylor expansion of 0 in n 1536830214.629 * [misc]backup-simplify: Simplify 0 into 0 1536830214.629 * [misc]backup-simplify: Simplify 0 into 0 1536830214.631 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536830214.632 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830214.632 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.632 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.633 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1536830214.637 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1536830214.637 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1536830214.638 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1536830214.638 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536830214.639 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.639 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1536830214.639 * [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)))) 1536830214.641 * [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)))))) 1536830214.645 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1536830214.647 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1536830214.647 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1536830214.647 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1536830214.647 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.647 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.647 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1536830214.647 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1536830214.647 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830214.647 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.647 * [misc]backup-simplify: Simplify 2 into 2 1536830214.647 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830214.648 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830214.648 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1536830214.648 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830214.648 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830214.648 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830214.648 * [misc]taylor: Taking taylor expansion of n in n 1536830214.648 * [misc]backup-simplify: Simplify 0 into 0 1536830214.648 * [misc]backup-simplify: Simplify 1 into 1 1536830214.648 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.648 * [misc]backup-simplify: Simplify PI into PI 1536830214.649 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830214.649 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830214.650 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830214.650 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.650 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830214.651 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536830214.652 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.652 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1536830214.655 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.657 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.658 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.658 * [misc]backup-simplify: Simplify 0 into 0 1536830214.659 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.664 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1536830214.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.665 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.665 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.666 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1536830214.675 * [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))) 1536830214.676 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1536830214.677 * [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 1536830214.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.677 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1536830214.679 * [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))) 1536830214.683 * [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))))))) 1536830214.693 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 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))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1536830214.701 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1536830214.701 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1536830214.701 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1536830214.701 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1536830214.702 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.702 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.702 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1536830214.702 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1536830214.702 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.702 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.702 * [misc]backup-simplify: Simplify PI into PI 1536830214.702 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.702 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830214.702 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.702 * [misc]backup-simplify: Simplify 2 into 2 1536830214.702 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830214.702 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830214.703 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1536830214.703 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1536830214.703 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1536830214.703 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1536830214.703 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.703 * [misc]backup-simplify: Simplify PI into PI 1536830214.703 * [misc]taylor: Taking taylor expansion of n in n 1536830214.703 * [misc]backup-simplify: Simplify 0 into 0 1536830214.703 * [misc]backup-simplify: Simplify 1 into 1 1536830214.703 * [misc]backup-simplify: Simplify (* PI 0) into 0 1536830214.704 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1536830214.704 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830214.704 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.704 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830214.704 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.704 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.704 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830214.704 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.704 * [misc]backup-simplify: Simplify 2 into 2 1536830214.705 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830214.705 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830214.705 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1536830214.705 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536830214.705 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536830214.705 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536830214.705 * [misc]taylor: Taking taylor expansion of n in n 1536830214.705 * [misc]backup-simplify: Simplify 0 into 0 1536830214.705 * [misc]backup-simplify: Simplify 1 into 1 1536830214.705 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.705 * [misc]backup-simplify: Simplify PI into PI 1536830214.705 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536830214.706 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536830214.706 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830214.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.706 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830214.706 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.707 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.707 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.707 * [misc]backup-simplify: Simplify 2 into 2 1536830214.707 * [misc]taylor: Taking taylor expansion of n in n 1536830214.707 * [misc]backup-simplify: Simplify 0 into 0 1536830214.707 * [misc]backup-simplify: Simplify 1 into 1 1536830214.707 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536830214.707 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536830214.707 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.707 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536830214.707 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.707 * [misc]backup-simplify: Simplify 2 into 2 1536830214.707 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536830214.707 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536830214.708 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.708 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536830214.708 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1536830214.708 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1536830214.708 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1536830214.708 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1536830214.708 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.708 * [misc]backup-simplify: Simplify PI into PI 1536830214.708 * [misc]taylor: Taking taylor expansion of n in n 1536830214.708 * [misc]backup-simplify: Simplify 0 into 0 1536830214.708 * [misc]backup-simplify: Simplify 1 into 1 1536830214.708 * [misc]backup-simplify: Simplify (* PI 0) into 0 1536830214.709 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1536830214.709 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536830214.709 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.710 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536830214.711 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536830214.713 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536830214.714 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1536830214.714 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1536830214.716 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1536830214.716 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536830214.717 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.717 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1536830214.719 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536830214.719 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536830214.720 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.721 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536830214.721 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536830214.721 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1536830214.723 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536830214.724 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536830214.727 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1536830214.730 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1536830214.735 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536830214.741 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536830214.746 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536830214.748 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536830214.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536830214.751 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536830214.753 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536830214.753 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1536830214.756 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536830214.761 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536830214.762 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536830214.764 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536830214.770 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1536830214.772 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1536830214.772 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1536830214.772 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.772 * [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 1536830214.772 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of k in n 1536830214.772 * [misc]backup-simplify: Simplify k into k 1536830214.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.772 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.772 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.772 * [misc]backup-simplify: Simplify PI into PI 1536830214.773 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.773 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.773 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.773 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.773 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536830214.774 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.774 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.774 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.774 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.774 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of k in n 1536830214.774 * [misc]backup-simplify: Simplify k into k 1536830214.774 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.774 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.774 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.774 * [misc]backup-simplify: Simplify 2 into 2 1536830214.774 * [misc]taylor: Taking taylor expansion of n in n 1536830214.774 * [misc]backup-simplify: Simplify 0 into 0 1536830214.774 * [misc]backup-simplify: Simplify 1 into 1 1536830214.774 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.774 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.774 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.774 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.774 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.775 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.775 * [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))) 1536830214.775 * [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)))) 1536830214.775 * [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))))) 1536830214.776 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536830214.776 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536830214.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.776 * [misc]taylor: Taking taylor expansion of k in n 1536830214.776 * [misc]backup-simplify: Simplify k into k 1536830214.776 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.776 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536830214.776 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.776 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536830214.776 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1536830214.776 * [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 1536830214.776 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of k in k 1536830214.776 * [misc]backup-simplify: Simplify 0 into 0 1536830214.776 * [misc]backup-simplify: Simplify 1 into 1 1536830214.776 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.776 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.776 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.776 * [misc]backup-simplify: Simplify PI into PI 1536830214.777 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.777 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.777 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.777 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.777 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536830214.778 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.778 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.778 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.778 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of k in k 1536830214.778 * [misc]backup-simplify: Simplify 0 into 0 1536830214.778 * [misc]backup-simplify: Simplify 1 into 1 1536830214.778 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.778 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536830214.778 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.778 * [misc]backup-simplify: Simplify 2 into 2 1536830214.778 * [misc]taylor: Taking taylor expansion of n in k 1536830214.778 * [misc]backup-simplify: Simplify n into n 1536830214.778 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536830214.778 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536830214.778 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.778 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.778 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.778 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536830214.779 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.779 * [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))))) 1536830214.779 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1536830214.779 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830214.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.779 * [misc]taylor: Taking taylor expansion of k in k 1536830214.779 * [misc]backup-simplify: Simplify 0 into 0 1536830214.779 * [misc]backup-simplify: Simplify 1 into 1 1536830214.779 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.780 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.780 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.780 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1536830214.780 * [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 1536830214.780 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.780 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of k in k 1536830214.780 * [misc]backup-simplify: Simplify 0 into 0 1536830214.780 * [misc]backup-simplify: Simplify 1 into 1 1536830214.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.780 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.780 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.780 * [misc]backup-simplify: Simplify PI into PI 1536830214.781 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.781 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.781 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.781 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.781 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536830214.782 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.782 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.782 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.782 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of k in k 1536830214.782 * [misc]backup-simplify: Simplify 0 into 0 1536830214.782 * [misc]backup-simplify: Simplify 1 into 1 1536830214.782 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.782 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536830214.782 * [misc]taylor: Taking taylor expansion of 2 in k 1536830214.782 * [misc]backup-simplify: Simplify 2 into 2 1536830214.782 * [misc]taylor: Taking taylor expansion of n in k 1536830214.782 * [misc]backup-simplify: Simplify n into n 1536830214.782 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536830214.782 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536830214.782 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.782 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536830214.782 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536830214.783 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536830214.783 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.783 * [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))))) 1536830214.783 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1536830214.783 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536830214.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.783 * [misc]taylor: Taking taylor expansion of k in k 1536830214.783 * [misc]backup-simplify: Simplify 0 into 0 1536830214.783 * [misc]backup-simplify: Simplify 1 into 1 1536830214.783 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.783 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.784 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536830214.784 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1536830214.784 * [misc]taylor: Taking taylor expansion of 0 in n 1536830214.784 * [misc]backup-simplify: Simplify 0 into 0 1536830214.784 * [misc]backup-simplify: Simplify 0 into 0 1536830214.784 * [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 1536830214.785 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536830214.785 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536830214.785 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.785 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.785 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.785 * [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 1536830214.785 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.785 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.785 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.785 * [misc]taylor: Taking taylor expansion of k in n 1536830214.785 * [misc]backup-simplify: Simplify k into k 1536830214.785 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.785 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.786 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.786 * [misc]backup-simplify: Simplify PI into PI 1536830214.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.786 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.786 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.786 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.786 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536830214.787 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.787 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of k in n 1536830214.787 * [misc]backup-simplify: Simplify k into k 1536830214.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.787 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.787 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.787 * [misc]backup-simplify: Simplify 2 into 2 1536830214.787 * [misc]taylor: Taking taylor expansion of n in n 1536830214.787 * [misc]backup-simplify: Simplify 0 into 0 1536830214.787 * [misc]backup-simplify: Simplify 1 into 1 1536830214.787 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.787 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.787 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.788 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.788 * [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))) 1536830214.788 * [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)))) 1536830214.788 * [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))))) 1536830214.789 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536830214.789 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536830214.789 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.790 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.790 * [misc]backup-simplify: Simplify 0 into 0 1536830214.790 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536830214.791 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.791 * [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 1536830214.792 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536830214.792 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536830214.792 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536830214.792 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.792 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.792 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.792 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.792 * [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 1536830214.792 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.793 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.793 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.793 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of k in n 1536830214.793 * [misc]backup-simplify: Simplify k into k 1536830214.793 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.793 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.793 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.793 * [misc]backup-simplify: Simplify PI into PI 1536830214.793 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.793 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.793 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.793 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536830214.794 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.794 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of k in n 1536830214.794 * [misc]backup-simplify: Simplify k into k 1536830214.794 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.794 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.794 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.794 * [misc]backup-simplify: Simplify 2 into 2 1536830214.794 * [misc]taylor: Taking taylor expansion of n in n 1536830214.794 * [misc]backup-simplify: Simplify 0 into 0 1536830214.794 * [misc]backup-simplify: Simplify 1 into 1 1536830214.794 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.794 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.794 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.794 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.795 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.795 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.795 * [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))) 1536830214.795 * [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)))) 1536830214.795 * [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))))) 1536830214.796 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536830214.796 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536830214.797 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.797 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.797 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536830214.799 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536830214.799 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.799 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.799 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.799 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.799 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.800 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536830214.800 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.802 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536830214.802 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.802 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.802 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.803 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1536830214.804 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.804 * [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 1536830214.805 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1536830214.805 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1536830214.805 * [misc]backup-simplify: Simplify (- 0) into 0 1536830214.805 * [misc]backup-simplify: Simplify 0 into 0 1536830214.806 * [misc]backup-simplify: Simplify 0 into 0 1536830214.806 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.806 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830214.807 * [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 1536830214.808 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536830214.808 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536830214.808 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.808 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.808 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536830214.808 * [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 1536830214.808 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.808 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.808 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.808 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.808 * [misc]taylor: Taking taylor expansion of k in n 1536830214.808 * [misc]backup-simplify: Simplify k into k 1536830214.808 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.809 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.809 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.809 * [misc]backup-simplify: Simplify PI into PI 1536830214.809 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.809 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.809 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.809 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.809 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536830214.809 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536830214.810 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.810 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.810 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.810 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of k in n 1536830214.810 * [misc]backup-simplify: Simplify k into k 1536830214.810 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.810 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536830214.810 * [misc]taylor: Taking taylor expansion of 2 in n 1536830214.810 * [misc]backup-simplify: Simplify 2 into 2 1536830214.810 * [misc]taylor: Taking taylor expansion of n in n 1536830214.810 * [misc]backup-simplify: Simplify 0 into 0 1536830214.810 * [misc]backup-simplify: Simplify 1 into 1 1536830214.810 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536830214.810 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536830214.810 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.810 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536830214.810 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536830214.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536830214.811 * [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))) 1536830214.811 * [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)))) 1536830214.811 * [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))))) 1536830214.812 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536830214.812 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536830214.813 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.814 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536830214.817 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1536830214.817 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.817 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1536830214.817 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of -1 in n 1536830214.818 * [misc]backup-simplify: Simplify -1 into -1 1536830214.818 * [misc]taylor: Taking taylor expansion of k in n 1536830214.818 * [misc]backup-simplify: Simplify k into k 1536830214.818 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536830214.818 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536830214.818 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536830214.818 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536830214.818 * [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 1536830214.818 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.818 * [misc]taylor: Taking taylor expansion of k in n 1536830214.818 * [misc]backup-simplify: Simplify k into k 1536830214.818 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.819 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.819 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.819 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.819 * [misc]backup-simplify: Simplify -2 into -2 1536830214.819 * [misc]taylor: Taking taylor expansion of n in n 1536830214.819 * [misc]backup-simplify: Simplify 0 into 0 1536830214.819 * [misc]backup-simplify: Simplify 1 into 1 1536830214.819 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.819 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.819 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.820 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.820 * [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))) 1536830214.820 * [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)))) 1536830214.820 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.820 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536830214.820 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536830214.821 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.821 * [misc]taylor: Taking taylor expansion of k in n 1536830214.821 * [misc]backup-simplify: Simplify k into k 1536830214.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.821 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.821 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.821 * [misc]backup-simplify: Simplify PI into PI 1536830214.821 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.821 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.821 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.822 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536830214.822 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.823 * [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))) 1536830214.823 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.824 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1536830214.824 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830214.824 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830214.824 * [misc]taylor: Taking taylor expansion of -1 in k 1536830214.824 * [misc]backup-simplify: Simplify -1 into -1 1536830214.824 * [misc]taylor: Taking taylor expansion of k in k 1536830214.824 * [misc]backup-simplify: Simplify 0 into 0 1536830214.824 * [misc]backup-simplify: Simplify 1 into 1 1536830214.824 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830214.824 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.824 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830214.825 * [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 1536830214.825 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of k in k 1536830214.825 * [misc]backup-simplify: Simplify 0 into 0 1536830214.825 * [misc]backup-simplify: Simplify 1 into 1 1536830214.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.825 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536830214.825 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.825 * [misc]backup-simplify: Simplify -2 into -2 1536830214.825 * [misc]taylor: Taking taylor expansion of n in k 1536830214.825 * [misc]backup-simplify: Simplify n into n 1536830214.825 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536830214.825 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536830214.826 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.826 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.826 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536830214.826 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.826 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.826 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.826 * [misc]taylor: Taking taylor expansion of k in k 1536830214.826 * [misc]backup-simplify: Simplify 0 into 0 1536830214.826 * [misc]backup-simplify: Simplify 1 into 1 1536830214.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.827 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.827 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.827 * [misc]backup-simplify: Simplify PI into PI 1536830214.827 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.827 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.827 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.828 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.828 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.829 * [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))) 1536830214.829 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.829 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1536830214.829 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536830214.829 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536830214.829 * [misc]taylor: Taking taylor expansion of -1 in k 1536830214.829 * [misc]backup-simplify: Simplify -1 into -1 1536830214.829 * [misc]taylor: Taking taylor expansion of k in k 1536830214.829 * [misc]backup-simplify: Simplify 0 into 0 1536830214.829 * [misc]backup-simplify: Simplify 1 into 1 1536830214.830 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536830214.830 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536830214.830 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536830214.830 * [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 1536830214.830 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.830 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.830 * [misc]taylor: Taking taylor expansion of k in k 1536830214.830 * [misc]backup-simplify: Simplify 0 into 0 1536830214.830 * [misc]backup-simplify: Simplify 1 into 1 1536830214.831 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.831 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536830214.831 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536830214.831 * [misc]taylor: Taking taylor expansion of -2 in k 1536830214.831 * [misc]backup-simplify: Simplify -2 into -2 1536830214.831 * [misc]taylor: Taking taylor expansion of n in k 1536830214.831 * [misc]backup-simplify: Simplify n into n 1536830214.831 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536830214.831 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536830214.831 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.831 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.831 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536830214.832 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.832 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.832 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of k in k 1536830214.832 * [misc]backup-simplify: Simplify 0 into 0 1536830214.832 * [misc]backup-simplify: Simplify 1 into 1 1536830214.832 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536830214.832 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536830214.832 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.832 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536830214.832 * [misc]taylor: Taking taylor expansion of PI in k 1536830214.832 * [misc]backup-simplify: Simplify PI into PI 1536830214.833 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.833 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536830214.833 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536830214.834 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536830214.834 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.834 * [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))) 1536830214.835 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.835 * [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 1536830214.835 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.835 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.835 * [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 1536830214.835 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.835 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.835 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.835 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.835 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.836 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.836 * [misc]taylor: Taking taylor expansion of k in n 1536830214.836 * [misc]backup-simplify: Simplify k into k 1536830214.836 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.836 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.836 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.836 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.836 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.836 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.836 * [misc]backup-simplify: Simplify -2 into -2 1536830214.836 * [misc]taylor: Taking taylor expansion of n in n 1536830214.836 * [misc]backup-simplify: Simplify 0 into 0 1536830214.836 * [misc]backup-simplify: Simplify 1 into 1 1536830214.836 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.836 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.836 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.836 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.837 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.837 * [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))) 1536830214.837 * [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)))) 1536830214.838 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.838 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of k in n 1536830214.838 * [misc]backup-simplify: Simplify k into k 1536830214.838 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.838 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.838 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.838 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.838 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.838 * [misc]backup-simplify: Simplify PI into PI 1536830214.838 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.839 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.839 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.839 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536830214.840 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.840 * [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))) 1536830214.841 * [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)))) 1536830214.841 * [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)))) 1536830214.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536830214.843 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536830214.843 * [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 1536830214.845 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.845 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.845 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.845 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.845 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of k in n 1536830214.845 * [misc]backup-simplify: Simplify k into k 1536830214.845 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.845 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.845 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.845 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.845 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.845 * [misc]backup-simplify: Simplify -2 into -2 1536830214.845 * [misc]taylor: Taking taylor expansion of n in n 1536830214.845 * [misc]backup-simplify: Simplify 0 into 0 1536830214.845 * [misc]backup-simplify: Simplify 1 into 1 1536830214.846 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.846 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.846 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.846 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.847 * [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))) 1536830214.847 * [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)))) 1536830214.847 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.847 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of k in n 1536830214.847 * [misc]backup-simplify: Simplify k into k 1536830214.847 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.847 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.847 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.847 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.847 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.848 * [misc]backup-simplify: Simplify PI into PI 1536830214.848 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.848 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.848 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.848 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536830214.849 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.849 * [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))) 1536830214.850 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.851 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1536830214.851 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.852 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.855 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536830214.855 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.855 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.855 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.856 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1536830214.858 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536830214.860 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536830214.861 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536830214.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536830214.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536830214.861 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.862 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536830214.863 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536830214.864 * [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 1536830214.865 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1536830214.865 * [misc]backup-simplify: Simplify 0 into 0 1536830214.866 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536830214.867 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536830214.867 * [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 1536830214.870 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.870 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536830214.870 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536830214.870 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536830214.870 * [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 1536830214.870 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of k in n 1536830214.870 * [misc]backup-simplify: Simplify k into k 1536830214.870 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.870 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536830214.870 * [misc]taylor: Taking taylor expansion of -2 in n 1536830214.870 * [misc]backup-simplify: Simplify -2 into -2 1536830214.870 * [misc]taylor: Taking taylor expansion of n in n 1536830214.871 * [misc]backup-simplify: Simplify 0 into 0 1536830214.871 * [misc]backup-simplify: Simplify 1 into 1 1536830214.871 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536830214.871 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536830214.871 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.871 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.872 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536830214.872 * [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))) 1536830214.872 * [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)))) 1536830214.872 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536830214.872 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536830214.872 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536830214.872 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536830214.872 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536830214.872 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.872 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.872 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536830214.873 * [misc]taylor: Taking taylor expansion of k in n 1536830214.873 * [misc]backup-simplify: Simplify k into k 1536830214.873 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536830214.873 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536830214.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536830214.873 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536830214.873 * [misc]taylor: Taking taylor expansion of PI in n 1536830214.873 * [misc]backup-simplify: Simplify PI into PI 1536830214.873 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536830214.873 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536830214.873 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536830214.874 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536830214.874 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536830214.875 * [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))) 1536830214.875 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536830214.876 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1536830214.876 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.877 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536830214.880 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1536830214.880 * * * [misc]progress: simplifying candidates 1536830214.880 * * * * [misc]progress: [ 1 / 147 ] simplifiying candidate # 1536830214.880 * * * * [misc]progress: [ 2 / 147 ] simplifiying candidate # 1536830214.880 * * * * [misc]progress: [ 3 / 147 ] simplifiying candidate # 1536830214.880 * * * * [misc]progress: [ 4 / 147 ] simplifiying candidate # 1536830214.881 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1536830214.881 * * [misc]simplify: iters left: 3 (5 enodes) 1536830214.883 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1536830214.883 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830214.883 * * * * [misc]progress: [ 5 / 147 ] simplifiying candidate # 1536830214.884 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536830214.884 * * [misc]simplify: iters left: 5 (6 enodes) 1536830214.887 * * [misc]simplify: iters left: 4 (8 enodes) 1536830214.889 * * [misc]simplify: iters left: 3 (11 enodes) 1536830214.890 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536830214.890 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))) 1536830214.890 * * * * [misc]progress: [ 6 / 147 ] simplifiying candidate # 1536830214.891 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536830214.891 * * [misc]simplify: iters left: 5 (6 enodes) 1536830214.894 * * [misc]simplify: iters left: 4 (8 enodes) 1536830214.895 * * [misc]simplify: iters left: 3 (11 enodes) 1536830214.897 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536830214.897 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830214.897 * * * * [misc]progress: [ 7 / 147 ] simplifiying candidate # 1536830214.897 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536830214.898 * * [misc]simplify: iters left: 4 (5 enodes) 1536830214.899 * * [misc]simplify: iters left: 3 (7 enodes) 1536830214.900 * * [misc]simplify: iters left: 2 (10 enodes) 1536830214.902 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536830214.902 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830214.902 * * * * [misc]progress: [ 8 / 147 ] simplifiying candidate # 1536830214.902 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1536830214.902 * * [misc]simplify: iters left: 5 (6 enodes) 1536830214.903 * * [misc]simplify: iters left: 4 (8 enodes) 1536830214.905 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1536830214.905 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830214.905 * * * * [misc]progress: [ 9 / 147 ] simplifiying candidate # 1536830214.905 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1536830214.905 * * [misc]simplify: iters left: 5 (6 enodes) 1536830214.906 * * [misc]simplify: iters left: 4 (8 enodes) 1536830214.908 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1536830214.908 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830214.908 * * * * [misc]progress: [ 10 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 11 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 12 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 13 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 14 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 15 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 16 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 17 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 18 / 147 ] simplifiying candidate # 1536830214.908 * * * * [misc]progress: [ 19 / 147 ] simplifiying candidate # 1536830214.908 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1536830214.909 * * [misc]simplify: iters left: 6 (9 enodes) 1536830214.912 * * [misc]simplify: iters left: 5 (16 enodes) 1536830214.916 * * [misc]simplify: iters left: 4 (32 enodes) 1536830214.926 * * [misc]simplify: iters left: 3 (72 enodes) 1536830214.965 * * [misc]simplify: iters left: 2 (195 enodes) 1536830215.052 * * [misc]simplify: iters left: 1 (418 enodes) 1536830215.285 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1536830215.285 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1536830215.285 * * * * [misc]progress: [ 20 / 147 ] simplifiying candidate # 1536830215.285 * * * * [misc]progress: [ 21 / 147 ] simplifiying candidate # 1536830215.285 * [enter]simplify: Simplifying (* n 2) 1536830215.286 * * [misc]simplify: iters left: 2 (3 enodes) 1536830215.287 * * [misc]simplify: iters left: 1 (4 enodes) 1536830215.288 * [exit]simplify: Simplified to (* n 2) 1536830215.288 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1536830215.289 * * * * [misc]progress: [ 22 / 147 ] simplifiying candidate # 1536830215.289 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536830215.289 * * [misc]simplify: iters left: 3 (6 enodes) 1536830215.292 * * [misc]simplify: iters left: 2 (7 enodes) 1536830215.294 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536830215.294 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1536830215.294 * * * * [misc]progress: [ 23 / 147 ] simplifiying candidate # 1536830215.294 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536830215.295 * * [misc]simplify: iters left: 5 (6 enodes) 1536830215.297 * * [misc]simplify: iters left: 4 (8 enodes) 1536830215.300 * * [misc]simplify: iters left: 3 (11 enodes) 1536830215.304 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536830215.304 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536830215.304 * * * * [misc]progress: [ 24 / 147 ] simplifiying candidate # 1536830215.305 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536830215.305 * * [misc]simplify: iters left: 5 (6 enodes) 1536830215.308 * * [misc]simplify: iters left: 4 (8 enodes) 1536830215.311 * * [misc]simplify: iters left: 3 (11 enodes) 1536830215.314 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536830215.314 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1536830215.314 * * * * [misc]progress: [ 25 / 147 ] simplifiying candidate # 1536830215.315 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536830215.315 * * [misc]simplify: iters left: 4 (5 enodes) 1536830215.317 * * [misc]simplify: iters left: 3 (7 enodes) 1536830215.320 * * [misc]simplify: iters left: 2 (10 enodes) 1536830215.323 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536830215.324 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1536830215.324 * * * * [misc]progress: [ 26 / 147 ] simplifiying candidate # 1536830215.324 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536830215.324 * * [misc]simplify: iters left: 5 (7 enodes) 1536830215.327 * * [misc]simplify: iters left: 4 (10 enodes) 1536830215.331 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536830215.331 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1536830215.331 * * * * [misc]progress: [ 27 / 147 ] simplifiying candidate # 1536830215.331 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536830215.332 * * [misc]simplify: iters left: 5 (7 enodes) 1536830215.334 * * [misc]simplify: iters left: 4 (10 enodes) 1536830215.338 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536830215.338 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1536830215.338 * * * * [misc]progress: [ 28 / 147 ] simplifiying candidate # 1536830215.338 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1536830215.339 * * [misc]simplify: iters left: 5 (7 enodes) 1536830215.341 * * [misc]simplify: iters left: 4 (9 enodes) 1536830215.345 * * [misc]simplify: iters left: 3 (12 enodes) 1536830215.349 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1536830215.349 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1536830215.349 * * * * [misc]progress: [ 29 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 30 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 31 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 32 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 33 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 34 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 35 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 36 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 37 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 38 / 147 ] simplifiying candidate # 1536830215.349 * * * * [misc]progress: [ 39 / 147 ] simplifiying candidate # 1536830215.350 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1536830215.351 * * [misc]simplify: iters left: 6 (12 enodes) 1536830215.357 * * [misc]simplify: iters left: 5 (21 enodes) 1536830215.367 * * [misc]simplify: iters left: 4 (44 enodes) 1536830215.402 * * [misc]simplify: iters left: 3 (133 enodes) 1536830215.508 * * [misc]simplify: iters left: 2 (379 enodes) 1536830215.752 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1536830215.752 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1536830215.752 * * * * [misc]progress: [ 40 / 147 ] simplifiying candidate # 1536830215.752 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1536830215.754 * * [misc]simplify: iters left: 6 (12 enodes) 1536830215.760 * * [misc]simplify: iters left: 5 (21 enodes) 1536830215.771 * * [misc]simplify: iters left: 4 (44 enodes) 1536830215.803 * * [misc]simplify: iters left: 3 (133 enodes) 1536830215.891 * * [misc]simplify: iters left: 2 (379 enodes) 1536830216.152 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1536830216.152 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))))))) 1536830216.152 * * * * [misc]progress: [ 41 / 147 ] simplifiying candidate # 1536830216.152 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.153 * * [misc]simplify: iters left: 6 (12 enodes) 1536830216.156 * * [misc]simplify: iters left: 5 (19 enodes) 1536830216.161 * * [misc]simplify: iters left: 4 (32 enodes) 1536830216.170 * * [misc]simplify: iters left: 3 (69 enodes) 1536830216.212 * * [misc]simplify: iters left: 2 (208 enodes) 1536830216.399 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1536830216.399 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))))))) 1536830216.399 * * * * [misc]progress: [ 42 / 147 ] simplifiying candidate # 1536830216.399 * * * * [misc]progress: [ 43 / 147 ] simplifiying candidate # 1536830216.399 * * * * [misc]progress: [ 44 / 147 ] simplifiying candidate # 1536830216.399 * [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))))) 1536830216.400 * * [misc]simplify: iters left: 6 (14 enodes) 1536830216.404 * * [misc]simplify: iters left: 5 (26 enodes) 1536830216.411 * * [misc]simplify: iters left: 4 (58 enodes) 1536830216.434 * * [misc]simplify: iters left: 3 (117 enodes) 1536830216.475 * * [misc]simplify: iters left: 2 (193 enodes) 1536830216.571 * * [misc]simplify: iters left: 1 (263 enodes) 1536830216.689 * [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))))) 1536830216.689 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830216.689 * * * * [misc]progress: [ 45 / 147 ] simplifiying candidate # 1536830216.689 * * * * [misc]progress: [ 46 / 147 ] simplifiying candidate # 1536830216.689 * * * * [misc]progress: [ 47 / 147 ] simplifiying candidate # 1536830216.689 * * * * [misc]progress: [ 48 / 147 ] simplifiying candidate # 1536830216.689 * * * * [misc]progress: [ 49 / 147 ] simplifiying candidate # 1536830216.690 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1536830216.691 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.695 * * [misc]simplify: iters left: 5 (14 enodes) 1536830216.700 * * [misc]simplify: iters left: 4 (16 enodes) 1536830216.705 * * [misc]simplify: iters left: 3 (17 enodes) 1536830216.712 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1536830216.712 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536830216.712 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830216.713 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.717 * * [misc]simplify: iters left: 5 (13 enodes) 1536830216.722 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830216.722 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536830216.722 * * * * [misc]progress: [ 50 / 147 ] simplifiying candidate # 1536830216.722 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1536830216.723 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.727 * * [misc]simplify: iters left: 5 (14 enodes) 1536830216.732 * * [misc]simplify: iters left: 4 (16 enodes) 1536830216.737 * * [misc]simplify: iters left: 3 (17 enodes) 1536830216.746 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1536830216.746 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536830216.746 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830216.747 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.751 * * [misc]simplify: iters left: 5 (13 enodes) 1536830216.754 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830216.754 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536830216.754 * * * * [misc]progress: [ 51 / 147 ] simplifiying candidate # 1536830216.754 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1536830216.754 * * [misc]simplify: iters left: 6 (11 enodes) 1536830216.757 * * [misc]simplify: iters left: 5 (15 enodes) 1536830216.759 * * [misc]simplify: iters left: 4 (20 enodes) 1536830216.762 * * [misc]simplify: iters left: 3 (21 enodes) 1536830216.766 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1536830216.766 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536830216.766 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830216.767 * * [misc]simplify: iters left: 6 (9 enodes) 1536830216.768 * * [misc]simplify: iters left: 5 (11 enodes) 1536830216.770 * * [misc]simplify: iters left: 4 (14 enodes) 1536830216.773 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830216.773 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536830216.773 * * * * [misc]progress: [ 52 / 147 ] simplifiying candidate # 1536830216.773 * [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)))))) 1536830216.774 * * [misc]simplify: iters left: 6 (14 enodes) 1536830216.777 * * [misc]simplify: iters left: 5 (23 enodes) 1536830216.784 * * [misc]simplify: iters left: 4 (35 enodes) 1536830216.796 * * [misc]simplify: iters left: 3 (38 enodes) 1536830216.808 * * [misc]simplify: iters left: 2 (41 enodes) 1536830216.824 * [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)))))) 1536830216.825 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830216.825 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.826 * * [misc]simplify: iters left: 6 (12 enodes) 1536830216.830 * * [misc]simplify: iters left: 5 (15 enodes) 1536830216.836 * * [misc]simplify: iters left: 4 (18 enodes) 1536830216.842 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.842 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830216.842 * * * * [misc]progress: [ 53 / 147 ] simplifiying candidate # 1536830216.843 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.844 * * [misc]simplify: iters left: 6 (13 enodes) 1536830216.852 * * [misc]simplify: iters left: 5 (18 enodes) 1536830216.858 * * [misc]simplify: iters left: 4 (23 enodes) 1536830216.865 * * [misc]simplify: iters left: 3 (24 enodes) 1536830216.874 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.874 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830216.874 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.876 * * [misc]simplify: iters left: 6 (12 enodes) 1536830216.880 * * [misc]simplify: iters left: 5 (15 enodes) 1536830216.885 * * [misc]simplify: iters left: 4 (18 enodes) 1536830216.892 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830216.892 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830216.892 * * * * [misc]progress: [ 54 / 147 ] simplifiying candidate # 1536830216.892 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1536830216.893 * * [misc]simplify: iters left: 6 (6 enodes) 1536830216.896 * * [misc]simplify: iters left: 5 (10 enodes) 1536830216.901 * * [misc]simplify: iters left: 4 (16 enodes) 1536830216.906 * * [misc]simplify: iters left: 3 (18 enodes) 1536830216.911 * * [misc]simplify: iters left: 2 (23 enodes) 1536830216.917 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830216.917 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830216.918 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830216.919 * * [misc]simplify: iters left: 6 (11 enodes) 1536830216.923 * * [misc]simplify: iters left: 5 (14 enodes) 1536830216.928 * * [misc]simplify: iters left: 4 (17 enodes) 1536830216.934 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830216.934 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830216.934 * * * * [misc]progress: [ 55 / 147 ] simplifiying candidate # 1536830216.934 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1536830216.935 * * [misc]simplify: iters left: 5 (9 enodes) 1536830216.938 * * [misc]simplify: iters left: 4 (11 enodes) 1536830216.942 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1536830216.942 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536830216.943 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830216.943 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.948 * * [misc]simplify: iters left: 5 (13 enodes) 1536830216.953 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830216.953 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536830216.953 * * * * [misc]progress: [ 56 / 147 ] simplifiying candidate # 1536830216.953 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1536830216.954 * * [misc]simplify: iters left: 5 (9 enodes) 1536830216.957 * * [misc]simplify: iters left: 4 (11 enodes) 1536830216.961 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1536830216.961 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536830216.961 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830216.962 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.966 * * [misc]simplify: iters left: 5 (13 enodes) 1536830216.971 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830216.971 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536830216.971 * * * * [misc]progress: [ 57 / 147 ] simplifiying candidate # 1536830216.971 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1536830216.972 * * [misc]simplify: iters left: 6 (10 enodes) 1536830216.976 * * [misc]simplify: iters left: 5 (12 enodes) 1536830216.980 * * [misc]simplify: iters left: 4 (15 enodes) 1536830216.985 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1536830216.986 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1536830216.986 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830216.989 * * [misc]simplify: iters left: 6 (9 enodes) 1536830216.993 * * [misc]simplify: iters left: 5 (11 enodes) 1536830216.997 * * [misc]simplify: iters left: 4 (14 enodes) 1536830217.003 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830217.003 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1536830217.003 * * * * [misc]progress: [ 58 / 147 ] simplifiying candidate # 1536830217.003 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830217.005 * * [misc]simplify: iters left: 6 (13 enodes) 1536830217.010 * * [misc]simplify: iters left: 5 (18 enodes) 1536830217.016 * * [misc]simplify: iters left: 4 (21 enodes) 1536830217.024 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830217.024 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.025 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.026 * * [misc]simplify: iters left: 6 (12 enodes) 1536830217.030 * * [misc]simplify: iters left: 5 (15 enodes) 1536830217.036 * * [misc]simplify: iters left: 4 (18 enodes) 1536830217.042 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.042 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.042 * * * * [misc]progress: [ 59 / 147 ] simplifiying candidate # 1536830217.043 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.044 * * [misc]simplify: iters left: 6 (12 enodes) 1536830217.049 * * [misc]simplify: iters left: 5 (15 enodes) 1536830217.054 * * [misc]simplify: iters left: 4 (18 enodes) 1536830217.060 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.060 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.061 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.061 * * [misc]simplify: iters left: 6 (12 enodes) 1536830217.063 * * [misc]simplify: iters left: 5 (15 enodes) 1536830217.066 * * [misc]simplify: iters left: 4 (18 enodes) 1536830217.069 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.069 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.069 * * * * [misc]progress: [ 60 / 147 ] simplifiying candidate # 1536830217.069 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1536830217.070 * * [misc]simplify: iters left: 4 (5 enodes) 1536830217.070 * * [misc]simplify: iters left: 3 (7 enodes) 1536830217.072 * * [misc]simplify: iters left: 2 (9 enodes) 1536830217.073 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830217.073 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830217.074 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.074 * * [misc]simplify: iters left: 6 (11 enodes) 1536830217.076 * * [misc]simplify: iters left: 5 (14 enodes) 1536830217.079 * * [misc]simplify: iters left: 4 (17 enodes) 1536830217.082 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.082 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830217.082 * * * * [misc]progress: [ 61 / 147 ] simplifiying candidate # 1536830217.082 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1536830217.082 * * [misc]simplify: iters left: 5 (7 enodes) 1536830217.084 * * [misc]simplify: iters left: 4 (11 enodes) 1536830217.085 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1536830217.085 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1536830217.085 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536830217.086 * * [misc]simplify: iters left: 6 (9 enodes) 1536830217.088 * * [misc]simplify: iters left: 5 (12 enodes) 1536830217.090 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536830217.090 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1536830217.090 * * * * [misc]progress: [ 62 / 147 ] simplifiying candidate # 1536830217.090 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1536830217.090 * * [misc]simplify: iters left: 5 (7 enodes) 1536830217.092 * * [misc]simplify: iters left: 4 (11 enodes) 1536830217.093 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1536830217.093 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1536830217.093 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536830217.096 * * [misc]simplify: iters left: 6 (9 enodes) 1536830217.097 * * [misc]simplify: iters left: 5 (12 enodes) 1536830217.100 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536830217.100 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1536830217.100 * * * * [misc]progress: [ 63 / 147 ] simplifiying candidate # 1536830217.100 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1536830217.101 * * [misc]simplify: iters left: 6 (9 enodes) 1536830217.102 * * [misc]simplify: iters left: 5 (13 enodes) 1536830217.104 * * [misc]simplify: iters left: 4 (16 enodes) 1536830217.107 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1536830217.107 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1536830217.107 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536830217.108 * * [misc]simplify: iters left: 6 (8 enodes) 1536830217.109 * * [misc]simplify: iters left: 5 (10 enodes) 1536830217.111 * * [misc]simplify: iters left: 4 (13 enodes) 1536830217.113 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536830217.113 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1536830217.113 * * * * [misc]progress: [ 64 / 147 ] simplifiying candidate # 1536830217.113 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830217.114 * * [misc]simplify: iters left: 6 (12 enodes) 1536830217.116 * * [misc]simplify: iters left: 5 (19 enodes) 1536830217.119 * * [misc]simplify: iters left: 4 (22 enodes) 1536830217.123 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1536830217.123 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.123 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.124 * * [misc]simplify: iters left: 6 (11 enodes) 1536830217.126 * * [misc]simplify: iters left: 5 (14 enodes) 1536830217.128 * * [misc]simplify: iters left: 4 (17 enodes) 1536830217.131 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.131 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.131 * * * * [misc]progress: [ 65 / 147 ] simplifiying candidate # 1536830217.131 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.132 * * [misc]simplify: iters left: 6 (11 enodes) 1536830217.134 * * [misc]simplify: iters left: 5 (16 enodes) 1536830217.137 * * [misc]simplify: iters left: 4 (19 enodes) 1536830217.140 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1536830217.140 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.140 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.141 * * [misc]simplify: iters left: 6 (11 enodes) 1536830217.143 * * [misc]simplify: iters left: 5 (14 enodes) 1536830217.145 * * [misc]simplify: iters left: 4 (17 enodes) 1536830217.148 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.148 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536830217.148 * * * * [misc]progress: [ 66 / 147 ] simplifiying candidate # 1536830217.148 * [enter]simplify: Simplifying (/ 1 1) 1536830217.148 * * [misc]simplify: iters left: 2 (2 enodes) 1536830217.149 * * [misc]simplify: iters left: 1 (4 enodes) 1536830217.149 * [exit]simplify: Simplified to 1 1536830217.149 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830217.149 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.150 * * [misc]simplify: iters left: 6 (10 enodes) 1536830217.152 * * [misc]simplify: iters left: 5 (13 enodes) 1536830217.154 * * [misc]simplify: iters left: 4 (16 enodes) 1536830217.157 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.157 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830217.157 * * * * [misc]progress: [ 67 / 147 ] simplifiying candidate # 1536830217.157 * * * * [misc]progress: [ 68 / 147 ] simplifiying candidate # 1536830217.157 * * * * [misc]progress: [ 69 / 147 ] simplifiying candidate # 1536830217.157 * * * * [misc]progress: [ 70 / 147 ] simplifiying candidate # 1536830217.157 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536830217.158 * * [misc]simplify: iters left: 5 (7 enodes) 1536830217.159 * * [misc]simplify: iters left: 4 (10 enodes) 1536830217.163 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536830217.163 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1536830217.163 * * * * [misc]progress: [ 71 / 147 ] simplifiying candidate # 1536830217.163 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536830217.164 * * [misc]simplify: iters left: 5 (7 enodes) 1536830217.169 * * [misc]simplify: iters left: 4 (10 enodes) 1536830217.172 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536830217.172 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1536830217.172 * * * * [misc]progress: [ 72 / 147 ] simplifiying candidate # 1536830217.173 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1536830217.173 * * [misc]simplify: iters left: 5 (6 enodes) 1536830217.175 * * [misc]simplify: iters left: 4 (8 enodes) 1536830217.178 * * [misc]simplify: iters left: 3 (11 enodes) 1536830217.182 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1536830217.182 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1536830217.182 * * * * [misc]progress: [ 73 / 147 ] simplifiying candidate # 1536830217.182 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.183 * * [misc]simplify: iters left: 6 (9 enodes) 1536830217.186 * * [misc]simplify: iters left: 5 (12 enodes) 1536830217.191 * * [misc]simplify: iters left: 4 (15 enodes) 1536830217.196 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.196 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536830217.196 * * * * [misc]progress: [ 74 / 147 ] simplifiying candidate # 1536830217.197 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.197 * * [misc]simplify: iters left: 6 (9 enodes) 1536830217.201 * * [misc]simplify: iters left: 5 (12 enodes) 1536830217.205 * * [misc]simplify: iters left: 4 (15 enodes) 1536830217.211 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536830217.211 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830217.211 * * * * [misc]progress: [ 75 / 147 ] simplifiying candidate # 1536830217.211 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536830217.212 * * [misc]simplify: iters left: 5 (8 enodes) 1536830217.215 * * [misc]simplify: iters left: 4 (11 enodes) 1536830217.219 * * [misc]simplify: iters left: 3 (14 enodes) 1536830217.223 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536830217.223 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830217.223 * * * * [misc]progress: [ 76 / 147 ] simplifiying candidate # 1536830217.224 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830217.224 * * [misc]simplify: iters left: 4 (4 enodes) 1536830217.226 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536830217.226 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1536830217.226 * * * * [misc]progress: [ 77 / 147 ] simplifiying candidate # 1536830217.226 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536830217.227 * * [misc]simplify: iters left: 2 (3 enodes) 1536830217.228 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536830217.228 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1536830217.228 * * * * [misc]progress: [ 78 / 147 ] simplifiying candidate # 1536830217.228 * * * * [misc]progress: [ 79 / 147 ] simplifiying candidate # 1536830217.228 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536830217.228 * * [misc]simplify: iters left: 3 (6 enodes) 1536830217.231 * * [misc]simplify: iters left: 2 (7 enodes) 1536830217.233 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536830217.233 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1536830217.233 * * * * [misc]progress: [ 80 / 147 ] simplifiying candidate # 1536830217.233 * * * * [misc]progress: [ 81 / 147 ] simplifiying candidate # 1536830217.233 * * * * [misc]progress: [ 82 / 147 ] simplifiying candidate # 1536830217.234 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830217.235 * * [misc]simplify: iters left: 6 (15 enodes) 1536830217.242 * * [misc]simplify: iters left: 5 (25 enodes) 1536830217.252 * * [misc]simplify: iters left: 4 (40 enodes) 1536830217.269 * * [misc]simplify: iters left: 3 (65 enodes) 1536830217.297 * * [misc]simplify: iters left: 2 (99 enodes) 1536830217.340 * * [misc]simplify: iters left: 1 (139 enodes) 1536830217.442 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1536830217.442 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1))) 1536830217.442 * * * * [misc]progress: [ 83 / 147 ] simplifiying candidate # 1536830217.442 * * * * [misc]progress: [ 84 / 147 ] simplifiying candidate # 1536830217.442 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830217.444 * * [misc]simplify: iters left: 6 (17 enodes) 1536830217.454 * * [misc]simplify: iters left: 5 (34 enodes) 1536830217.475 * * [misc]simplify: iters left: 4 (85 enodes) 1536830217.548 * * [misc]simplify: iters left: 3 (288 enodes) 1536830218.171 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1536830218.171 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1536830218.171 * * * * [misc]progress: [ 85 / 147 ] simplifiying candidate # 1536830218.171 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830218.173 * * [misc]simplify: iters left: 6 (17 enodes) 1536830218.177 * * [misc]simplify: iters left: 5 (34 enodes) 1536830218.191 * * [misc]simplify: iters left: 4 (85 enodes) 1536830218.230 * * [misc]simplify: iters left: 3 (288 enodes) 1536830218.508 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1536830218.508 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1536830218.508 * * * * [misc]progress: [ 86 / 147 ] simplifiying candidate # 1536830218.508 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830218.510 * * [misc]simplify: iters left: 6 (17 enodes) 1536830218.519 * * [misc]simplify: iters left: 5 (32 enodes) 1536830218.538 * * [misc]simplify: iters left: 4 (73 enodes) 1536830218.592 * * [misc]simplify: iters left: 3 (202 enodes) 1536830218.833 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (log (sqrt k))) 1536830218.833 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (log (sqrt k)))))) 1536830218.833 * * * * [misc]progress: [ 87 / 147 ] simplifiying candidate # 1536830218.834 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830218.836 * * [misc]simplify: iters left: 6 (16 enodes) 1536830218.843 * * [misc]simplify: iters left: 5 (28 enodes) 1536830218.857 * * [misc]simplify: iters left: 4 (60 enodes) 1536830218.884 * * [misc]simplify: iters left: 3 (148 enodes) 1536830218.946 * * [misc]simplify: iters left: 2 (331 enodes) 1536830219.347 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1536830219.347 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1536830219.347 * * * * [misc]progress: [ 88 / 147 ] simplifiying candidate # 1536830219.347 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830219.349 * * [misc]simplify: iters left: 6 (17 enodes) 1536830219.354 * * [misc]simplify: iters left: 5 (31 enodes) 1536830219.363 * * [misc]simplify: iters left: 4 (65 enodes) 1536830219.411 * * [misc]simplify: iters left: 3 (213 enodes) 1536830219.601 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1536830219.601 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1536830219.601 * * * * [misc]progress: [ 89 / 147 ] simplifiying candidate # 1536830219.601 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830219.603 * * [misc]simplify: iters left: 6 (17 enodes) 1536830219.607 * * [misc]simplify: iters left: 5 (31 enodes) 1536830219.623 * * [misc]simplify: iters left: 4 (65 enodes) 1536830219.680 * * [misc]simplify: iters left: 3 (213 enodes) 1536830219.967 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1536830219.967 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1536830219.967 * * * * [misc]progress: [ 90 / 147 ] simplifiying candidate # 1536830219.967 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830219.969 * * [misc]simplify: iters left: 6 (17 enodes) 1536830219.972 * * [misc]simplify: iters left: 5 (29 enodes) 1536830219.980 * * [misc]simplify: iters left: 4 (53 enodes) 1536830220.017 * * [misc]simplify: iters left: 3 (132 enodes) 1536830220.228 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (log (sqrt k))) 1536830220.228 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (log (sqrt k)))))) 1536830220.229 * * * * [misc]progress: [ 91 / 147 ] simplifiying candidate # 1536830220.229 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830220.231 * * [misc]simplify: iters left: 6 (16 enodes) 1536830220.238 * * [misc]simplify: iters left: 5 (25 enodes) 1536830220.248 * * [misc]simplify: iters left: 4 (42 enodes) 1536830220.273 * * [misc]simplify: iters left: 3 (85 enodes) 1536830220.303 * * [misc]simplify: iters left: 2 (224 enodes) 1536830220.650 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (log (sqrt k))) 1536830220.650 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log PI) (log (* n 2))) (log (sqrt k)))))) 1536830220.650 * * * * [misc]progress: [ 92 / 147 ] simplifiying candidate # 1536830220.651 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830220.653 * * [misc]simplify: iters left: 6 (18 enodes) 1536830220.664 * * [misc]simplify: iters left: 5 (36 enodes) 1536830220.680 * * [misc]simplify: iters left: 4 (68 enodes) 1536830220.732 * * [misc]simplify: iters left: 3 (213 enodes) 1536830220.975 * [exit]simplify: Simplified to (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k)))) 1536830220.976 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k))))))) 1536830220.976 * * * * [misc]progress: [ 93 / 147 ] simplifiying candidate # 1536830220.976 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536830220.977 * * [misc]simplify: iters left: 6 (18 enodes) 1536830220.985 * * [misc]simplify: iters left: 5 (36 enodes) 1536830221.002 * * [misc]simplify: iters left: 4 (68 enodes) 1536830221.031 * * [misc]simplify: iters left: 3 (213 enodes) 1536830221.251 * [exit]simplify: Simplified to (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k)))) 1536830221.251 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (fma (+ -1/2 (/ k 2)) (log PI) (log (sqrt k))))))) 1536830221.251 * * * * [misc]progress: [ 94 / 147 ] simplifiying candidate # 1536830221.251 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830221.253 * * [misc]simplify: iters left: 6 (18 enodes) 1536830221.263 * * [misc]simplify: iters left: 5 (34 enodes) 1536830221.275 * * [misc]simplify: iters left: 4 (56 enodes) 1536830221.292 * * [misc]simplify: iters left: 3 (130 enodes) 1536830221.430 * * [misc]simplify: iters left: 2 (498 enodes) 1536830222.458 * [exit]simplify: Simplified to (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k))) 1536830222.458 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))) (log (sqrt k)))))) 1536830222.458 * * * * [misc]progress: [ 95 / 147 ] simplifiying candidate # 1536830222.458 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830222.459 * * [misc]simplify: iters left: 6 (17 enodes) 1536830222.464 * * [misc]simplify: iters left: 5 (30 enodes) 1536830222.475 * * [misc]simplify: iters left: 4 (44 enodes) 1536830222.497 * * [misc]simplify: iters left: 3 (79 enodes) 1536830222.548 * * [misc]simplify: iters left: 2 (194 enodes) 1536830222.810 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k))) 1536830222.810 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (fma (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (log (sqrt k)))))) 1536830222.810 * * * * [misc]progress: [ 96 / 147 ] simplifiying candidate # 1536830222.810 * * * * [misc]progress: [ 97 / 147 ] simplifiying candidate # 1536830222.810 * * * * [misc]progress: [ 98 / 147 ] simplifiying candidate # 1536830222.810 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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)))))) 1536830222.812 * * [misc]simplify: iters left: 6 (21 enodes) 1536830222.818 * * [misc]simplify: iters left: 5 (47 enodes) 1536830222.837 * * [misc]simplify: iters left: 4 (148 enodes) 1536830223.039 * [exit]simplify: Simplified to (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536830223.039 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ 1 (pow (pow PI (- 1/2 (/ k 2))) 3)) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))))) 1536830223.039 * * * * [misc]progress: [ 99 / 147 ] simplifiying candidate # 1536830223.039 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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)))))) 1536830223.041 * * [misc]simplify: iters left: 6 (19 enodes) 1536830223.052 * * [misc]simplify: iters left: 5 (43 enodes) 1536830223.082 * * [misc]simplify: iters left: 4 (121 enodes) 1536830223.169 * * [misc]simplify: iters left: 3 (306 enodes) 1536830223.553 * [exit]simplify: Simplified to (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1536830223.553 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1536830223.553 * * * * [misc]progress: [ 100 / 147 ] simplifiying candidate # 1536830223.553 * * * * [misc]progress: [ 101 / 147 ] simplifiying candidate # 1536830223.553 * * * * [misc]progress: [ 102 / 147 ] simplifiying candidate # 1536830223.553 * * * * [misc]progress: [ 103 / 147 ] simplifiying candidate # 1536830223.554 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1536830223.554 * * [misc]simplify: iters left: 3 (4 enodes) 1536830223.556 * * [misc]simplify: iters left: 2 (7 enodes) 1536830223.559 * * [misc]simplify: iters left: 1 (9 enodes) 1536830223.561 * [exit]simplify: Simplified to (sqrt k) 1536830223.561 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830223.561 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.562 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.567 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.572 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.579 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1536830223.579 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1536830223.579 * * * * [misc]progress: [ 104 / 147 ] simplifiying candidate # 1536830223.579 * * * * [misc]progress: [ 105 / 147 ] simplifiying candidate # 1536830223.579 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.580 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.585 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.590 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.597 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.597 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.597 * * * * [misc]progress: [ 106 / 147 ] simplifiying candidate # 1536830223.597 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.598 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.603 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.608 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.614 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.614 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.614 * * * * [misc]progress: [ 107 / 147 ] simplifiying candidate # 1536830223.614 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830223.615 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.619 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.624 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830223.624 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))) 1536830223.624 * * * * [misc]progress: [ 108 / 147 ] simplifiying candidate # 1536830223.624 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830223.625 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.631 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.636 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830223.636 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))) 1536830223.636 * * * * [misc]progress: [ 109 / 147 ] simplifiying candidate # 1536830223.636 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830223.637 * * [misc]simplify: iters left: 6 (9 enodes) 1536830223.640 * * [misc]simplify: iters left: 5 (11 enodes) 1536830223.644 * * [misc]simplify: iters left: 4 (14 enodes) 1536830223.649 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830223.649 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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))))))) 1536830223.649 * * * * [misc]progress: [ 110 / 147 ] simplifiying candidate # 1536830223.650 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.651 * * [misc]simplify: iters left: 6 (12 enodes) 1536830223.655 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.660 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.667 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.667 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.667 * * * * [misc]progress: [ 111 / 147 ] simplifiying candidate # 1536830223.667 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.668 * * [misc]simplify: iters left: 6 (12 enodes) 1536830223.673 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.678 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.684 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.684 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.684 * * * * [misc]progress: [ 112 / 147 ] simplifiying candidate # 1536830223.684 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.685 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.687 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.689 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.692 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.692 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830223.692 * * * * [misc]progress: [ 113 / 147 ] simplifiying candidate # 1536830223.693 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830223.693 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.695 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.698 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830223.698 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1536830223.698 * * * * [misc]progress: [ 114 / 147 ] simplifiying candidate # 1536830223.698 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536830223.699 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.701 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.703 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536830223.703 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1536830223.703 * * * * [misc]progress: [ 115 / 147 ] simplifiying candidate # 1536830223.703 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830223.704 * * [misc]simplify: iters left: 6 (9 enodes) 1536830223.705 * * [misc]simplify: iters left: 5 (11 enodes) 1536830223.707 * * [misc]simplify: iters left: 4 (14 enodes) 1536830223.710 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536830223.710 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1536830223.710 * * * * [misc]progress: [ 116 / 147 ] simplifiying candidate # 1536830223.710 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.711 * * [misc]simplify: iters left: 6 (12 enodes) 1536830223.713 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.716 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.722 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.722 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.722 * * * * [misc]progress: [ 117 / 147 ] simplifiying candidate # 1536830223.723 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.724 * * [misc]simplify: iters left: 6 (12 enodes) 1536830223.728 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.734 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.737 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.737 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.737 * * * * [misc]progress: [ 118 / 147 ] simplifiying candidate # 1536830223.738 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.738 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.740 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.743 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.745 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.745 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830223.745 * * * * [misc]progress: [ 119 / 147 ] simplifiying candidate # 1536830223.746 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536830223.746 * * [misc]simplify: iters left: 6 (9 enodes) 1536830223.748 * * [misc]simplify: iters left: 5 (12 enodes) 1536830223.750 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536830223.750 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1536830223.750 * * * * [misc]progress: [ 120 / 147 ] simplifiying candidate # 1536830223.750 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536830223.751 * * [misc]simplify: iters left: 6 (9 enodes) 1536830223.752 * * [misc]simplify: iters left: 5 (12 enodes) 1536830223.755 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536830223.755 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1536830223.755 * * * * [misc]progress: [ 121 / 147 ] simplifiying candidate # 1536830223.755 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536830223.755 * * [misc]simplify: iters left: 6 (8 enodes) 1536830223.757 * * [misc]simplify: iters left: 5 (10 enodes) 1536830223.759 * * [misc]simplify: iters left: 4 (13 enodes) 1536830223.761 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536830223.761 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1536830223.761 * * * * [misc]progress: [ 122 / 147 ] simplifiying candidate # 1536830223.761 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.762 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.763 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.766 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.769 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.769 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.769 * * * * [misc]progress: [ 123 / 147 ] simplifiying candidate # 1536830223.769 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.770 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.772 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.774 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.777 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.777 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536830223.777 * * * * [misc]progress: [ 124 / 147 ] simplifiying candidate # 1536830223.777 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.778 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.780 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.782 * * [misc]simplify: iters left: 4 (16 enodes) 1536830223.786 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.786 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830223.786 * * * * [misc]progress: [ 125 / 147 ] simplifiying candidate # 1536830223.786 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.787 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.791 * * [misc]simplify: iters left: 5 (13 enodes) 1536830223.796 * * [misc]simplify: iters left: 4 (16 enodes) 1536830223.802 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.802 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830223.802 * * * * [misc]progress: [ 126 / 147 ] simplifiying candidate # 1536830223.802 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.803 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.807 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.810 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.812 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1536830223.812 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1536830223.812 * * * * [misc]progress: [ 127 / 147 ] simplifiying candidate # 1536830223.813 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536830223.814 * * [misc]simplify: iters left: 3 (6 enodes) 1536830223.816 * * [misc]simplify: iters left: 2 (7 enodes) 1536830223.817 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536830223.817 * [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))) (pow (* n 2) (/ k 2))))) 1536830223.817 * * * * [misc]progress: [ 128 / 147 ] simplifiying candidate # 1536830223.817 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1536830223.818 * * [misc]simplify: iters left: 6 (11 enodes) 1536830223.820 * * [misc]simplify: iters left: 5 (15 enodes) 1536830223.822 * * [misc]simplify: iters left: 4 (18 enodes) 1536830223.825 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1536830223.825 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830223.826 * * * * [misc]progress: [ 129 / 147 ] simplifiying candidate # 1536830223.826 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1536830223.826 * * [misc]simplify: iters left: 6 (10 enodes) 1536830223.829 * * [misc]simplify: iters left: 5 (14 enodes) 1536830223.834 * * [misc]simplify: iters left: 4 (17 enodes) 1536830223.839 * [exit]simplify: Simplified to (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1536830223.839 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830223.839 * * * * [misc]progress: [ 130 / 147 ] simplifiying candidate # 1536830223.839 * * * * [misc]progress: [ 131 / 147 ] simplifiying candidate # 1536830223.840 * * * * [misc]progress: [ 132 / 147 ] simplifiying candidate # 1536830223.840 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1536830223.840 * * [misc]simplify: iters left: 3 (5 enodes) 1536830223.842 * * [misc]simplify: iters left: 2 (8 enodes) 1536830223.845 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1536830223.845 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt PI)) (* (pow PI (/ k 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536830223.845 * * * * [misc]progress: [ 133 / 147 ] simplifiying candidate # 1536830223.846 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536830223.847 * * [misc]simplify: iters left: 5 (8 enodes) 1536830223.850 * * [misc]simplify: iters left: 4 (11 enodes) 1536830223.854 * * [misc]simplify: iters left: 3 (14 enodes) 1536830223.858 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536830223.858 * [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)))))) 1536830223.859 * * * * [misc]progress: [ 134 / 147 ] simplifiying candidate # 1536830223.859 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536830223.860 * * [misc]simplify: iters left: 6 (12 enodes) 1536830223.865 * * [misc]simplify: iters left: 5 (20 enodes) 1536830223.874 * * [misc]simplify: iters left: 4 (30 enodes) 1536830223.882 * * [misc]simplify: iters left: 3 (33 enodes) 1536830223.892 * * [misc]simplify: iters left: 2 (39 enodes) 1536830223.906 * * [misc]simplify: iters left: 1 (52 enodes) 1536830223.925 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536830223.926 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1536830223.926 * * * * [misc]progress: [ 135 / 147 ] simplifiying candidate # 1536830223.926 * * * * [misc]progress: [ 136 / 147 ] simplifiying candidate # 1536830223.926 * [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)))) 1536830223.928 * * [misc]simplify: iters left: 6 (18 enodes) 1536830223.940 * * [misc]simplify: iters left: 5 (39 enodes) 1536830223.966 * * [misc]simplify: iters left: 4 (110 enodes) 1536830224.048 * * [misc]simplify: iters left: 3 (321 enodes) 1536830224.457 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1536830224.457 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830224.457 * * * * [misc]progress: [ 137 / 147 ] simplifiying candidate # 1536830224.458 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1536830224.458 * * [misc]simplify: iters left: 5 (6 enodes) 1536830224.461 * * [misc]simplify: iters left: 4 (9 enodes) 1536830224.466 * * [misc]simplify: iters left: 3 (17 enodes) 1536830224.472 * * [misc]simplify: iters left: 2 (24 enodes) 1536830224.479 * * [misc]simplify: iters left: 1 (28 enodes) 1536830224.495 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1536830224.495 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830224.495 * * * * [misc]progress: [ 138 / 147 ] simplifiying candidate # 1536830224.495 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1536830224.496 * * [misc]simplify: iters left: 5 (6 enodes) 1536830224.498 * * [misc]simplify: iters left: 4 (9 enodes) 1536830224.503 * * [misc]simplify: iters left: 3 (17 enodes) 1536830224.509 * * [misc]simplify: iters left: 2 (24 enodes) 1536830224.516 * * [misc]simplify: iters left: 1 (28 enodes) 1536830224.532 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1536830224.532 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (fma k -1/2 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536830224.532 * * * * [misc]progress: [ 139 / 147 ] simplifiying candidate # 1536830224.532 * [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))))) 1536830224.536 * * [misc]simplify: iters left: 6 (35 enodes) 1536830224.563 * * [misc]simplify: iters left: 5 (102 enodes) 1536830224.638 * * [misc]simplify: iters left: 4 (321 enodes) 1536830225.157 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1536830225.157 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))))))) 1536830225.157 * * * * [misc]progress: [ 140 / 147 ] simplifiying candidate # 1536830225.158 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1536830225.159 * * [misc]simplify: iters left: 6 (13 enodes) 1536830225.167 * * [misc]simplify: iters left: 5 (27 enodes) 1536830225.175 * * [misc]simplify: iters left: 4 (53 enodes) 1536830225.191 * * [misc]simplify: iters left: 3 (124 enodes) 1536830225.274 * * [misc]simplify: iters left: 2 (394 enodes) 1536830225.899 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1536830225.900 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2)))))) 1536830225.900 * * * * [misc]progress: [ 141 / 147 ] simplifiying candidate # 1536830225.900 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1536830225.901 * * [misc]simplify: iters left: 6 (13 enodes) 1536830225.909 * * [misc]simplify: iters left: 5 (24 enodes) 1536830225.923 * * [misc]simplify: iters left: 4 (54 enodes) 1536830225.945 * * [misc]simplify: iters left: 3 (151 enodes) 1536830226.118 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1536830226.118 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))))))) 1536830226.118 * * * * [misc]progress: [ 142 / 147 ] simplifiying candidate # 1536830226.118 * [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)))))))))))) 1536830226.118 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536830226.118 * * * * [misc]progress: [ 143 / 147 ] simplifiying candidate # 1536830226.119 * [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))))))))))) 1536830226.119 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536830226.119 * * * * [misc]progress: [ 144 / 147 ] simplifiying candidate # 1536830226.119 * [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))))))))) 1536830226.119 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536830226.119 * * * * [misc]progress: [ 145 / 147 ] simplifiying candidate # 1536830226.119 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1536830226.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830226.119 * * * * [misc]progress: [ 146 / 147 ] simplifiying candidate # 1536830226.120 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1536830226.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830226.120 * * * * [misc]progress: [ 147 / 147 ] simplifiying candidate # 1536830226.120 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1536830226.120 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536830226.120 * * * [misc]progress: adding candidates to table 1536830230.107 * [misc]progress: [Phase 3 of 3] Extracting. 1536830230.107 * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) 1536830230.120 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1536830230.120 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # #) 1536830230.311 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # # # #) 1536830230.466 * * * [misc]regime: Found split indices: #