1539795926.794 * [misc]progress:  [Phase 1 of 3] Setting up.
1539795926.794 * * * [misc]progress:  [1/2] Preparing points
1539795926.794 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1539795926.796 * * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
1539795926.800 * * * * [misc]points:  Setting MPFR precision to 64
1539795926.802 * * * * [misc]points:  Setting MPFR precision to 320
1539795926.803 * * * * [misc]points:  Setting MPFR precision to 576
1539795926.805 * * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
1539795926.814 * * * * [misc]points:  Setting MPFR precision to 320
1539795926.815 * * * * [misc]points:  Setting MPFR precision to 576
1539795926.817 * * * * [misc]points:  Setting MPFR precision to 832
1539795926.819 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.820 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.822 * * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
1539795926.849 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.854 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.859 * * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
1539795926.875 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.879 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.883 * * * * [misc]points:  Computing exacts for 256 points
1539795926.898 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.910 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.928 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795926.928 * * * * [misc]points:  Sampling 212 additional inputs, on iter 1 have 44 / 256
1539795926.930 * * * * [misc]points:  Computing exacts on every 13 of 212 points to ramp up precision
1539795926.950 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.951 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.953 * * * * [misc]points:  Computing exacts on every 6 of 212 points to ramp up precision
1539795926.986 * * * * [misc]points:  Setting MPFR precision to 1088
1539795926.989 * * * * [misc]points:  Setting MPFR precision to 1344
1539795926.992 * * * * [misc]points:  Computing exacts on every 3 of 212 points to ramp up precision
1539795927.011 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.017 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.022 * * * * [misc]points:  Computing exacts for 212 points
1539795927.042 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.068 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.087 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.088 * * * * [misc]points:  Sampling 174 additional inputs, on iter 2 have 82 / 256
1539795927.089 * * * * [misc]points:  Computing exacts on every 10 of 174 points to ramp up precision
1539795927.110 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.111 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.112 * * * * [misc]points:  Computing exacts on every 5 of 174 points to ramp up precision
1539795927.132 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.135 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.137 * * * * [misc]points:  Computing exacts on every 2 of 174 points to ramp up precision
1539795927.163 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.166 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.169 * * * * [misc]points:  Computing exacts for 174 points
1539795927.178 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.186 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.195 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.195 * * * * [misc]points:  Sampling 133 additional inputs, on iter 3 have 123 / 256
1539795927.195 * * * * [misc]points:  Computing exacts on every 8 of 133 points to ramp up precision
1539795927.223 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.224 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.225 * * * * [misc]points:  Computing exacts on every 4 of 133 points to ramp up precision
1539795927.236 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.237 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.238 * * * * [misc]points:  Computing exacts on every 2 of 133 points to ramp up precision
1539795927.251 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.254 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.256 * * * * [misc]points:  Computing exacts for 133 points
1539795927.274 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.285 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.298 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.298 * * * * [misc]points:  Sampling 106 additional inputs, on iter 4 have 150 / 256
1539795927.299 * * * * [misc]points:  Computing exacts on every 6 of 106 points to ramp up precision
1539795927.319 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.320 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.322 * * * * [misc]points:  Computing exacts on every 3 of 106 points to ramp up precision
1539795927.352 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.354 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.356 * * * * [misc]points:  Computing exacts for 106 points
1539795927.377 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.385 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.390 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.390 * * * * [misc]points:  Sampling 82 additional inputs, on iter 5 have 174 / 256
1539795927.391 * * * * [misc]points:  Computing exacts on every 5 of 82 points to ramp up precision
1539795927.404 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.406 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.406 * * * * [misc]points:  Computing exacts on every 2 of 82 points to ramp up precision
1539795927.416 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.417 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.418 * * * * [misc]points:  Computing exacts for 82 points
1539795927.437 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.444 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.449 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.449 * * * * [misc]points:  Sampling 65 additional inputs, on iter 6 have 191 / 256
1539795927.450 * * * * [misc]points:  Computing exacts on every 4 of 65 points to ramp up precision
1539795927.463 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.464 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.465 * * * * [misc]points:  Computing exacts on every 2 of 65 points to ramp up precision
1539795927.474 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.476 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.476 * * * * [misc]points:  Computing exacts for 65 points
1539795927.494 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.500 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.506 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.506 * * * * [misc]points:  Sampling 51 additional inputs, on iter 7 have 205 / 256
1539795927.507 * * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
1539795927.527 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.528 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.529 * * * * [misc]points:  Computing exacts for 51 points
1539795927.549 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.552 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.555 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.555 * * * * [misc]points:  Sampling 42 additional inputs, on iter 8 have 214 / 256
1539795927.555 * * * * [misc]points:  Computing exacts on every 2 of 42 points to ramp up precision
1539795927.569 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.570 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.570 * * * * [misc]points:  Computing exacts for 42 points
1539795927.580 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.582 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.585 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.585 * * * * [misc]points:  Sampling 30 additional inputs, on iter 9 have 226 / 256
1539795927.585 * * * * [misc]points:  Computing exacts for 30 points
1539795927.607 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.610 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.613 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.613 * * * * [misc]points:  Sampling 23 additional inputs, on iter 10 have 233 / 256
1539795927.613 * * * * [misc]points:  Computing exacts for 23 points
1539795927.633 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.635 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.638 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.638 * * * * [misc]points:  Sampling 20 additional inputs, on iter 11 have 236 / 256
1539795927.638 * * * * [misc]points:  Computing exacts for 20 points
1539795927.657 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.658 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.659 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.659 * * * * [misc]points:  Sampling 17 additional inputs, on iter 12 have 239 / 256
1539795927.659 * * * * [misc]points:  Computing exacts for 17 points
1539795927.672 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.673 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.674 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.674 * * * * [misc]points:  Sampling 17 additional inputs, on iter 13 have 239 / 256
1539795927.674 * * * * [misc]points:  Computing exacts for 17 points
1539795927.683 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.684 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.685 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.685 * * * * [misc]points:  Sampling 15 additional inputs, on iter 14 have 241 / 256
1539795927.685 * * * * [misc]points:  Computing exacts for 15 points
1539795927.707 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.709 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.710 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.710 * * * * [misc]points:  Sampling 11 additional inputs, on iter 15 have 245 / 256
1539795927.711 * * * * [misc]points:  Computing exacts for 11 points
1539795927.722 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.723 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.724 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.724 * * * * [misc]points:  Sampling 9 additional inputs, on iter 16 have 247 / 256
1539795927.724 * * * * [misc]points:  Computing exacts for 9 points
1539795927.733 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.734 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.734 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.734 * * * * [misc]points:  Sampling 9 additional inputs, on iter 17 have 247 / 256
1539795927.734 * * * * [misc]points:  Computing exacts for 9 points
1539795927.749 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.750 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.751 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.751 * * * * [misc]points:  Sampling 7 additional inputs, on iter 18 have 249 / 256
1539795927.751 * * * * [misc]points:  Computing exacts for 7 points
1539795927.771 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.772 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.772 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.772 * * * * [misc]points:  Sampling 6 additional inputs, on iter 19 have 250 / 256
1539795927.772 * * * * [misc]points:  Computing exacts for 6 points
1539795927.795 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.796 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.796 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.796 * * * * [misc]points:  Sampling 4 additional inputs, on iter 20 have 252 / 256
1539795927.797 * * * * [misc]points:  Computing exacts for 4 points
1539795927.812 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.812 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.813 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.813 * * * * [misc]points:  Sampling 4 additional inputs, on iter 21 have 253 / 256
1539795927.813 * * * * [misc]points:  Computing exacts for 4 points
1539795927.822 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.823 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.823 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.823 * * * * [misc]points:  Sampling 4 additional inputs, on iter 22 have 253 / 256
1539795927.823 * * * * [misc]points:  Computing exacts for 4 points
1539795927.835 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.835 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.835 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.835 * * * * [misc]points:  Sampling 4 additional inputs, on iter 23 have 255 / 256
1539795927.835 * * * * [misc]points:  Computing exacts for 4 points
1539795927.845 * * * * [misc]points:  Setting MPFR precision to 1088
1539795927.845 * * * * [misc]points:  Setting MPFR precision to 1344
1539795927.845 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795927.845 * * * * [exit]points:  Sampled 256 points with exact outputs
1539795927.845 * * * [misc]progress:  [2/2] Setting up program.
1539795927.848 * [misc]progress:  [Phase 2 of 3] Improving.
1539795927.848 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1539795927.848 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795927.851 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795927.855 * * [misc]simplify:  iters left: 4 (44 enodes)
1539795927.861 * * [misc]simplify:  iters left: 3 (54 enodes)
1539795927.866 * * [misc]simplify:  iters left: 2 (57 enodes)
1539795927.874 * * [misc]simplify:  iters left: 1 (65 enodes)
1539795927.882 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539795927.888 * * [misc]progress:  iteration 1 / 4
1539795927.888 * * * [misc]progress:  picking best candidate
1539795927.896 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1539795927.896 * * * [misc]progress:  localizing error
1539795927.955 * * * [misc]progress:  generating rewritten candidates
1539795927.956 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
1539795927.964 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
1539795927.969 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1539795927.984 * * * [misc]progress:  generating series expansions
1539795927.984 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
1539795927.985 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1539795927.985 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1539795927.985 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795927.985 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.985 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795927.985 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.985 * [misc]taylor:  Taking taylor expansion of k in k
1539795927.985 * [misc]backup-simplify:  Simplify 0 into 0
1539795927.985 * [misc]backup-simplify:  Simplify 1 into 1
1539795927.985 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795927.985 * [misc]backup-simplify:  Simplify 2 into 2
1539795927.985 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795927.985 * [misc]taylor:  Taking taylor expansion of n in k
1539795927.985 * [misc]backup-simplify:  Simplify n into n
1539795927.985 * [misc]taylor:  Taking taylor expansion of PI in k
1539795927.985 * [misc]backup-simplify:  Simplify PI into PI
1539795927.985 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795927.986 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539795927.986 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539795927.986 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795927.986 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795927.986 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795927.986 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539795927.987 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539795927.987 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795927.987 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.987 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795927.987 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.987 * [misc]taylor:  Taking taylor expansion of k in n
1539795927.987 * [misc]backup-simplify:  Simplify k into k
1539795927.987 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795927.987 * [misc]backup-simplify:  Simplify 2 into 2
1539795927.987 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795927.987 * [misc]taylor:  Taking taylor expansion of n in n
1539795927.987 * [misc]backup-simplify:  Simplify 0 into 0
1539795927.987 * [misc]backup-simplify:  Simplify 1 into 1
1539795927.987 * [misc]taylor:  Taking taylor expansion of PI in n
1539795927.987 * [misc]backup-simplify:  Simplify PI into PI
1539795927.988 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795927.988 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795927.989 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795927.989 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795927.990 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795927.990 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795927.990 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795927.990 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539795927.991 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795927.991 * [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))))
1539795927.992 * [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)))))
1539795927.992 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795927.992 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.992 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795927.992 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.992 * [misc]taylor:  Taking taylor expansion of k in n
1539795927.992 * [misc]backup-simplify:  Simplify k into k
1539795927.992 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795927.992 * [misc]backup-simplify:  Simplify 2 into 2
1539795927.992 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795927.992 * [misc]taylor:  Taking taylor expansion of n in n
1539795927.992 * [misc]backup-simplify:  Simplify 0 into 0
1539795927.992 * [misc]backup-simplify:  Simplify 1 into 1
1539795927.992 * [misc]taylor:  Taking taylor expansion of PI in n
1539795927.993 * [misc]backup-simplify:  Simplify PI into PI
1539795927.993 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795927.993 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795927.994 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795927.994 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795927.995 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795927.995 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795927.995 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795927.995 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539795927.996 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795927.997 * [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))))
1539795927.997 * [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)))))
1539795927.997 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539795927.997 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539795927.997 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795927.998 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.998 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795927.998 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795927.998 * [misc]taylor:  Taking taylor expansion of k in k
1539795927.998 * [misc]backup-simplify:  Simplify 0 into 0
1539795927.998 * [misc]backup-simplify:  Simplify 1 into 1
1539795927.998 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of n in k
1539795927.998 * [misc]backup-simplify:  Simplify n into n
1539795927.998 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795927.998 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795927.998 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795927.998 * [misc]backup-simplify:  Simplify 2 into 2
1539795927.998 * [misc]taylor:  Taking taylor expansion of PI in k
1539795927.998 * [misc]backup-simplify:  Simplify PI into PI
1539795927.998 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795927.999 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795927.999 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795927.999 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795927.999 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.000 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.000 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795928.001 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795928.001 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795928.003 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795928.004 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795928.006 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.007 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539795928.007 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.007 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.008 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.008 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795928.010 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.010 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.010 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.010 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.011 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795928.011 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795928.014 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.014 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.014 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539795928.021 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.021 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.022 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539795928.023 * [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)))))))
1539795928.025 * [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)))))))
1539795928.026 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.028 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795928.033 * [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
1539795928.034 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539795928.034 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.034 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.035 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.035 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795928.038 * [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
1539795928.038 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.038 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.038 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.038 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.040 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539795928.041 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.046 * [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
1539795928.046 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.046 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539795928.046 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.046 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.047 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795928.049 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))))
1539795928.052 * [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)))))
1539795928.057 * [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)))))
1539795928.058 * [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))))
1539795928.058 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1539795928.058 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.058 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.058 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.058 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.058 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.058 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.058 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.058 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.059 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.059 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539795928.059 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539795928.059 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.059 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.059 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795928.059 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.059 * [misc]backup-simplify:  Simplify PI into PI
1539795928.059 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.059 * [misc]backup-simplify:  Simplify n into n
1539795928.059 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795928.059 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539795928.059 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539795928.059 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.059 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.060 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.060 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539795928.060 * [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))))
1539795928.060 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.060 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.060 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.060 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.060 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.060 * [misc]backup-simplify:  Simplify k into k
1539795928.060 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.060 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795928.060 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.061 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.061 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.061 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.061 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.061 * [misc]backup-simplify:  Simplify PI into PI
1539795928.061 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.061 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.061 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.061 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.061 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.062 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.062 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.062 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795928.062 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539795928.063 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.063 * [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)))
1539795928.064 * [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))))
1539795928.064 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.064 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.064 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.064 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.064 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.064 * [misc]backup-simplify:  Simplify k into k
1539795928.064 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.064 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795928.064 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.065 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.065 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.065 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.065 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.065 * [misc]backup-simplify:  Simplify PI into PI
1539795928.065 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.065 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.065 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.065 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.065 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.066 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.066 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.066 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795928.066 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539795928.067 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.067 * [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)))
1539795928.068 * [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))))
1539795928.068 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539795928.068 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539795928.068 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539795928.068 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.068 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.068 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.068 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.068 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.068 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.068 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.068 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.068 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.068 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.068 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795928.069 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795928.069 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795928.069 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.069 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.069 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.069 * [misc]backup-simplify:  Simplify PI into PI
1539795928.069 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.069 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.069 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795928.069 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.069 * [misc]backup-simplify:  Simplify n into n
1539795928.070 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795928.070 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.070 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.070 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.070 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795928.071 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795928.071 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795928.072 * [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))))
1539795928.073 * [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))))
1539795928.074 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.074 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795928.077 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.078 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.078 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795928.078 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.078 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.079 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.079 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795928.080 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.080 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.080 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.080 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.080 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.081 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.082 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.085 * [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
1539795928.085 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.085 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795928.085 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.085 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.086 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.086 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795928.088 * [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
1539795928.088 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.088 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.088 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.088 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.088 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.089 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.090 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.094 * [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
1539795928.094 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.095 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539795928.095 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.095 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.095 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.096 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795928.098 * [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
1539795928.098 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.098 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.098 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.099 * [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)))))
1539795928.099 * [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))
1539795928.099 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1539795928.099 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.099 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.099 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.099 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.099 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.099 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.099 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.099 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795928.099 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.099 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795928.099 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.099 * [misc]backup-simplify:  Simplify PI into PI
1539795928.099 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.099 * [misc]backup-simplify:  Simplify n into n
1539795928.099 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795928.099 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539795928.100 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539795928.100 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.100 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.100 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539795928.100 * [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)))
1539795928.100 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.100 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.100 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.100 * [misc]backup-simplify:  Simplify k into k
1539795928.100 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.100 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.100 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.100 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.100 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.100 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.100 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.100 * [misc]backup-simplify:  Simplify PI into PI
1539795928.100 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.100 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.100 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.101 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.101 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.101 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.101 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.101 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539795928.102 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.102 * [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)))
1539795928.102 * [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))))
1539795928.102 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.102 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.102 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.102 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.102 * [misc]backup-simplify:  Simplify k into k
1539795928.103 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.103 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.103 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.103 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795928.103 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.103 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.103 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.103 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.103 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.103 * [misc]backup-simplify:  Simplify PI into PI
1539795928.103 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.103 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.103 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.103 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.103 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.103 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.103 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.103 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539795928.104 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.104 * [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)))
1539795928.105 * [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))))
1539795928.105 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.105 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.105 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.105 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.105 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.105 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.105 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.105 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.105 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795928.105 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795928.105 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.105 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.105 * [misc]backup-simplify:  Simplify PI into PI
1539795928.105 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.106 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.106 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795928.106 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.106 * [misc]backup-simplify:  Simplify n into n
1539795928.106 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795928.106 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.106 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.106 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795928.106 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795928.107 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795928.107 * [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))))
1539795928.107 * [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))))
1539795928.108 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.108 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795928.110 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795928.110 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.110 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795928.110 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.111 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.111 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795928.112 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.112 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.112 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.112 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.112 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.113 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.114 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.117 * [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
1539795928.117 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.118 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795928.118 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.119 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.119 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539795928.122 * [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
1539795928.122 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.122 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.122 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.122 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.122 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.124 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.125 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.133 * [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
1539795928.133 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.134 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539795928.134 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.135 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.136 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539795928.140 * [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
1539795928.140 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.140 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.140 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.141 * [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)))))
1539795928.141 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
1539795928.141 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539795928.141 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795928.141 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795928.141 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.141 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.141 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795928.141 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.141 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.141 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.141 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.141 * [misc]backup-simplify:  Simplify PI into PI
1539795928.141 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795928.141 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.141 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.141 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795928.141 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.141 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.141 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.141 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.141 * [misc]backup-simplify:  Simplify PI into PI
1539795928.142 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795928.142 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795928.142 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.143 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795928.143 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795928.144 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.145 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795928.146 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795928.146 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.147 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.149 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795928.149 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.151 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795928.153 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795928.153 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.155 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795928.158 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795928.158 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.162 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795928.164 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795928.164 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.166 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795928.169 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795928.169 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.169 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795928.169 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539795928.169 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795928.169 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.169 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.169 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.169 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.169 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.169 * [misc]backup-simplify:  Simplify PI into PI
1539795928.169 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.169 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.169 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.170 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.170 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.170 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.170 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.170 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.170 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.170 * [misc]backup-simplify:  Simplify PI into PI
1539795928.170 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.170 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.170 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.170 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.170 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.170 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.171 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.171 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795928.171 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.172 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.173 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.173 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.174 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.175 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.175 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.176 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.177 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795928.177 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.178 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.180 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795928.180 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.181 * [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
1539795928.183 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795928.183 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.183 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795928.183 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539795928.183 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795928.183 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.183 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.183 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.183 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.183 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.184 * [misc]backup-simplify:  Simplify PI into PI
1539795928.184 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.184 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.184 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.184 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.184 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.184 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.184 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.184 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.184 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.184 * [misc]backup-simplify:  Simplify PI into PI
1539795928.184 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.184 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.184 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.184 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.184 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.184 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.185 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.185 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795928.185 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.186 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.187 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.187 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.188 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.189 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.189 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.190 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.191 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795928.191 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.192 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.194 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795928.194 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.195 * [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
1539795928.197 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795928.197 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.197 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795928.197 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1539795928.198 * [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))))
1539795928.198 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1539795928.198 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1539795928.198 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539795928.198 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.198 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.198 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.198 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.198 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.198 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.198 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539795928.199 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.199 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.199 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.199 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.199 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.199 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.199 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.199 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.199 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.199 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795928.199 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.199 * [misc]backup-simplify:  Simplify n into n
1539795928.199 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.199 * [misc]backup-simplify:  Simplify PI into PI
1539795928.199 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795928.199 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539795928.199 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539795928.199 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795928.199 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.199 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.199 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539795928.199 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539795928.199 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539795928.199 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539795928.199 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.200 * [misc]backup-simplify:  Simplify k into k
1539795928.200 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.200 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539795928.200 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.200 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539795928.200 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.200 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.200 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.200 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.200 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.200 * [misc]backup-simplify:  Simplify k into k
1539795928.200 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.200 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.200 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795928.200 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.200 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.200 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.200 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.200 * [misc]backup-simplify:  Simplify PI into PI
1539795928.200 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795928.200 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795928.201 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795928.201 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795928.201 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.201 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795928.202 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795928.202 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539795928.202 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.202 * [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))))
1539795928.203 * [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)))))
1539795928.203 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.203 * [misc]backup-simplify:  Simplify k into k
1539795928.203 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.203 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539795928.203 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.203 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539795928.203 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.203 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.203 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.203 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.203 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.203 * [misc]backup-simplify:  Simplify k into k
1539795928.203 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.203 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.203 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795928.203 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.203 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.203 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.203 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.203 * [misc]backup-simplify:  Simplify PI into PI
1539795928.204 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795928.204 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795928.204 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795928.204 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795928.205 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.205 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795928.205 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795928.205 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539795928.205 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.206 * [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))))
1539795928.206 * [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)))))
1539795928.206 * [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)))
1539795928.207 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.207 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.207 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.207 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.207 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.207 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.207 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.207 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.207 * [misc]backup-simplify:  Simplify n into n
1539795928.207 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795928.207 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795928.207 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.207 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.207 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.207 * [misc]backup-simplify:  Simplify PI into PI
1539795928.207 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.207 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.207 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795928.208 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.208 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.208 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.208 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795928.209 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795928.209 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539795928.209 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.209 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.209 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.209 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.209 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.209 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.209 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539795928.210 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1539795928.210 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.210 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795928.211 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795928.212 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.213 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539795928.213 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.213 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.213 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.214 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795928.214 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.215 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1539795928.215 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.215 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.215 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795928.216 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795928.217 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.217 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.218 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539795928.218 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.218 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.218 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539795928.219 * [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)))))))
1539795928.220 * [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)))))))
1539795928.221 * [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)))))))
1539795928.222 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.223 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795928.225 * [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
1539795928.226 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539795928.226 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.226 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.226 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.227 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795928.228 * [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
1539795928.228 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.229 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1539795928.229 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1539795928.229 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.229 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.229 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.230 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1539795928.230 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795928.231 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539795928.232 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.235 * [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
1539795928.235 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.235 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539795928.235 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.235 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.236 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795928.237 * [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)))))
1539795928.240 * [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))))))))
1539795928.241 * [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))))))))
1539795928.243 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795928.244 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795928.249 * [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
1539795928.250 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539795928.250 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.250 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.251 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795928.252 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539795928.255 * [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
1539795928.256 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.256 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1539795928.257 * [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
1539795928.257 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.257 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.257 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.257 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.258 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.259 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539795928.263 * [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
1539795928.265 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.273 * [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
1539795928.273 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.273 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539795928.274 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.274 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.275 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539795928.278 * [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)))))))
1539795928.287 * [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))))))))))))))
1539795928.293 * [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))))))))))))))
1539795928.305 * [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))))))))))))))))))))))
1539795928.305 * [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)))))
1539795928.306 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1539795928.306 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1539795928.306 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539795928.306 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.306 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.306 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.306 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.306 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539795928.306 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.307 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.307 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.307 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.307 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.307 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.307 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.307 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.307 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.307 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.307 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795928.307 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.307 * [misc]backup-simplify:  Simplify PI into PI
1539795928.307 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.307 * [misc]backup-simplify:  Simplify n into n
1539795928.307 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795928.307 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539795928.308 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539795928.308 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.308 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.308 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.308 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539795928.308 * [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))))
1539795928.308 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539795928.308 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.309 * [misc]backup-simplify:  Simplify k into k
1539795928.309 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539795928.309 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539795928.309 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.309 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.309 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.309 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.309 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.309 * [misc]backup-simplify:  Simplify k into k
1539795928.309 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.309 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.309 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.309 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.309 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.309 * [misc]backup-simplify:  Simplify PI into PI
1539795928.309 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.309 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.309 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.310 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.310 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.310 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.311 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.311 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795928.311 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539795928.311 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.312 * [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)))
1539795928.313 * [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))))
1539795928.313 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.313 * [misc]backup-simplify:  Simplify k into k
1539795928.313 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539795928.313 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539795928.313 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.313 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.313 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.313 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.313 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.313 * [misc]backup-simplify:  Simplify k into k
1539795928.313 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.313 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795928.313 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795928.313 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.314 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.314 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.314 * [misc]backup-simplify:  Simplify PI into PI
1539795928.314 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.314 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.314 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.314 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.314 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.315 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.315 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.315 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795928.315 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539795928.316 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.316 * [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)))
1539795928.317 * [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))))
1539795928.318 * [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))
1539795928.318 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.318 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.318 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.318 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.318 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.318 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.318 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.318 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.318 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795928.318 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795928.318 * [misc]backup-simplify:  Simplify 2 into 2
1539795928.318 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.318 * [misc]backup-simplify:  Simplify PI into PI
1539795928.319 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795928.319 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795928.319 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795928.319 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.319 * [misc]backup-simplify:  Simplify n into n
1539795928.319 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795928.320 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.320 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795928.320 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539795928.320 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795928.320 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795928.321 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795928.322 * [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))))
1539795928.322 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539795928.322 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.322 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.322 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.322 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.322 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539795928.323 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1539795928.323 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.324 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.325 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795928.327 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795928.328 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.328 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795928.328 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.328 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.329 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.329 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795928.331 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.332 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1539795928.332 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.332 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.332 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.333 * [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))))))
1539795928.333 * [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))))))
1539795928.335 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.336 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.341 * [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
1539795928.341 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.341 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795928.342 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.342 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.342 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.343 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795928.345 * [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
1539795928.346 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1539795928.347 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1539795928.347 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.347 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.347 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.347 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.348 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795928.349 * [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))))))
1539795928.350 * [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))))))
1539795928.351 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.353 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795928.361 * [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
1539795928.362 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.362 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539795928.362 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795928.362 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.363 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795928.364 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795928.368 * [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
1539795928.368 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1539795928.369 * [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
1539795928.369 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.369 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.369 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.369 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.369 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.371 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539795928.371 * [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))))))
1539795928.372 * [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))))))
1539795928.375 * [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))))))))
1539795928.375 * [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)))
1539795928.375 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1539795928.375 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.375 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.376 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.376 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.376 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.376 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.376 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.376 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.376 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.376 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.376 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539795928.376 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539795928.376 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795928.376 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.376 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795928.376 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.376 * [misc]backup-simplify:  Simplify PI into PI
1539795928.376 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.376 * [misc]backup-simplify:  Simplify n into n
1539795928.376 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795928.376 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539795928.376 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539795928.377 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.377 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.377 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539795928.377 * [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)))
1539795928.377 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795928.377 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795928.377 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795928.377 * [misc]backup-simplify:  Simplify -1 into -1
1539795928.377 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.377 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.377 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.377 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795928.378 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.378 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795928.378 * [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))))
1539795928.378 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539795928.378 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.379 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.379 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.379 * [misc]backup-simplify:  Simplify k into k
1539795928.379 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.379 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.379 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.379 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.379 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.379 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.379 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.379 * [misc]backup-simplify:  Simplify PI into PI
1539795928.379 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.379 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.379 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.379 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.380 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.380 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.380 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.380 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539795928.381 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.382 * [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)))
1539795928.382 * [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))))
1539795928.382 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795928.382 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795928.382 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795928.382 * [misc]backup-simplify:  Simplify -1 into -1
1539795928.382 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.382 * [misc]backup-simplify:  Simplify k into k
1539795928.382 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795928.383 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795928.383 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795928.383 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795928.383 * [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)))
1539795928.384 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.384 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.384 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.384 * [misc]backup-simplify:  Simplify k into k
1539795928.384 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795928.384 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795928.384 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.384 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795928.384 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.384 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795928.384 * [misc]taylor:  Taking taylor expansion of PI in n
1539795928.384 * [misc]backup-simplify:  Simplify PI into PI
1539795928.384 * [misc]taylor:  Taking taylor expansion of n in n
1539795928.384 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.384 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.385 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795928.385 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.385 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.385 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795928.385 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539795928.386 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.387 * [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)))
1539795928.387 * [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))))
1539795928.387 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795928.387 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795928.387 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795928.387 * [misc]backup-simplify:  Simplify -1 into -1
1539795928.387 * [misc]taylor:  Taking taylor expansion of k in n
1539795928.387 * [misc]backup-simplify:  Simplify k into k
1539795928.388 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795928.388 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795928.388 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795928.388 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795928.388 * [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)))
1539795928.389 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.389 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.389 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.389 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.389 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.389 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795928.389 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795928.389 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795928.389 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795928.389 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795928.389 * [misc]backup-simplify:  Simplify -2 into -2
1539795928.389 * [misc]taylor:  Taking taylor expansion of PI in k
1539795928.389 * [misc]backup-simplify:  Simplify PI into PI
1539795928.390 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795928.390 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795928.390 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795928.390 * [misc]taylor:  Taking taylor expansion of n in k
1539795928.390 * [misc]backup-simplify:  Simplify n into n
1539795928.390 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795928.390 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795928.390 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539795928.391 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795928.391 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795928.392 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795928.392 * [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))))
1539795928.392 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795928.392 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795928.392 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795928.392 * [misc]backup-simplify:  Simplify -1 into -1
1539795928.393 * [misc]taylor:  Taking taylor expansion of k in k
1539795928.393 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.393 * [misc]backup-simplify:  Simplify 1 into 1
1539795928.393 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795928.393 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795928.393 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795928.394 * [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)))))
1539795928.395 * [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)))))
1539795928.396 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795928.396 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795928.399 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795928.399 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795928.399 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795928.399 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.400 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.401 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795928.402 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795928.403 * [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
1539795928.403 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.403 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.403 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.403 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539795928.404 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795928.405 * [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))))))
1539795928.406 * [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))))))
1539795928.407 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.408 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795928.413 * [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
1539795928.413 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.413 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795928.413 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795928.414 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795928.414 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539795928.416 * [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
1539795928.416 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795928.416 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1539795928.417 * [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
1539795928.417 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795928.417 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.417 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.417 * [misc]backup-simplify:  Simplify 0 into 0
1539795928.417 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795928.418 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539795928.420 * [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))))))
1539795928.420 * [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))))))
1539795928.422 * [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)))))))))))
1539795928.422 * * * [misc]progress:  simplifying candidates
1539795928.422 * * * * [misc]progress:  [ 1 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log1p (expm1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539795928.422 * * * * [misc]progress:  [ 2 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (expm1 (log1p (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539795928.422 * * * * [misc]progress:  [ 3 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.423 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1539795928.423 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795928.425 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795928.428 * * [misc]simplify:  iters left: 4 (47 enodes)
1539795928.437 * * [misc]simplify:  iters left: 3 (113 enodes)
1539795928.465 * * [misc]simplify:  iters left: 2 (328 enodes)
1539795928.673 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1539795928.673 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1539795928.673 * * * * [misc]progress:  [ 4 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.673 * * * * [misc]progress:  [ 5 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.673 * [enter]simplify:  Simplifying (* PI (* n 2))
1539795928.673 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795928.674 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795928.675 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795928.677 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795928.679 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539795928.679 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1539795928.679 * * * * [misc]progress:  [ 6 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795928.679 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539795928.679 * * [misc]simplify:  iters left: 5 (8 enodes)
1539795928.681 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795928.682 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795928.685 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795928.687 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539795928.687 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539795928.687 * * * * [misc]progress:  [ 7 / 83 ] simplifiying candidate #<alt (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)))>
1539795928.687 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1539795928.687 * * [misc]simplify:  iters left: 5 (6 enodes)
1539795928.688 * * [misc]simplify:  iters left: 4 (8 enodes)
1539795928.689 * * [misc]simplify:  iters left: 3 (11 enodes)
1539795928.691 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1539795928.691 * [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)))
1539795928.691 * * * * [misc]progress:  [ 8 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.691 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1539795928.691 * * [misc]simplify:  iters left: 5 (6 enodes)
1539795928.692 * * [misc]simplify:  iters left: 4 (8 enodes)
1539795928.695 * * [misc]simplify:  iters left: 3 (11 enodes)
1539795928.697 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1539795928.697 * [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)))
1539795928.697 * * * * [misc]progress:  [ 9 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.697 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1539795928.697 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795928.698 * * [misc]simplify:  iters left: 3 (7 enodes)
1539795928.699 * * [misc]simplify:  iters left: 2 (10 enodes)
1539795928.700 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1539795928.701 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1539795928.701 * * * * [misc]progress:  [ 10 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795928.701 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539795928.701 * * [misc]simplify:  iters left: 5 (9 enodes)
1539795928.704 * * [misc]simplify:  iters left: 4 (15 enodes)
1539795928.708 * * [misc]simplify:  iters left: 3 (21 enodes)
1539795928.713 * * [misc]simplify:  iters left: 2 (22 enodes)
1539795928.719 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539795928.719 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539795928.719 * * * * [misc]progress:  [ 11 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795928.719 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539795928.719 * * [misc]simplify:  iters left: 5 (9 enodes)
1539795928.722 * * [misc]simplify:  iters left: 4 (15 enodes)
1539795928.726 * * [misc]simplify:  iters left: 3 (21 enodes)
1539795928.732 * * [misc]simplify:  iters left: 2 (22 enodes)
1539795928.736 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539795928.736 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539795928.736 * * * * [misc]progress:  [ 12 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.737 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539795928.737 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795928.738 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795928.739 * * [misc]simplify:  iters left: 3 (12 enodes)
1539795928.740 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539795928.740 * [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)))
1539795928.741 * * * * [misc]progress:  [ 13 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 14 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 15 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 16 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (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))))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 17 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (cbrt (* (* (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)))>
1539795928.741 * * * * [misc]progress:  [ 18 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 19 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 20 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log1p (expm1 (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 21 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (expm1 (log1p (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 22 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 23 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 24 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 25 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 26 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 27 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 28 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 29 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 30 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1539795928.741 * * * * [misc]progress:  [ 31 / 83 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795928.741 * * * * [misc]progress:  [ 32 / 83 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795928.741 * * * * [misc]progress:  [ 33 / 83 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1539795928.741 * * * * [misc]progress:  [ 34 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539795928.741 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539795928.742 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795928.744 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795928.748 * * [misc]simplify:  iters left: 4 (55 enodes)
1539795928.759 * * [misc]simplify:  iters left: 3 (144 enodes)
1539795928.858 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795928.858 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795928.858 * * * * [misc]progress:  [ 35 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539795928.858 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539795928.858 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795928.863 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795928.872 * * [misc]simplify:  iters left: 4 (55 enodes)
1539795928.890 * * [misc]simplify:  iters left: 3 (144 enodes)
1539795928.966 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795928.967 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795928.967 * * * * [misc]progress:  [ 36 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1539795928.967 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1539795928.968 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795928.972 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795928.979 * * [misc]simplify:  iters left: 4 (43 enodes)
1539795928.991 * * [misc]simplify:  iters left: 3 (73 enodes)
1539795929.025 * * [misc]simplify:  iters left: 2 (220 enodes)
1539795929.221 * [exit]simplify:  Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795929.221 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795929.221 * * * * [misc]progress:  [ 37 / 83 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795929.221 * * * * [misc]progress:  [ 38 / 83 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795929.221 * * * * [misc]progress:  [ 39 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (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)))))>
1539795929.221 * [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)))
1539795929.221 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795929.224 * * [misc]simplify:  iters left: 5 (31 enodes)
1539795929.229 * * [misc]simplify:  iters left: 4 (67 enodes)
1539795929.239 * * [misc]simplify:  iters left: 3 (124 enodes)
1539795929.272 * * [misc]simplify:  iters left: 2 (195 enodes)
1539795929.337 * * [misc]simplify:  iters left: 1 (309 enodes)
1539795929.469 * [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))))
1539795929.469 * [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))))))
1539795929.469 * * * * [misc]progress:  [ 40 / 83 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) (cbrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795929.469 * * * * [misc]progress:  [ 41 / 83 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795929.469 * * * * [misc]progress:  [ 42 / 83 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))) (sqrt (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539795929.469 * * * * [misc]progress:  [ 43 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1539795929.469 * * * * [misc]progress:  [ 44 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1539795929.469 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.469 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.473 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795929.478 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795929.485 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795929.492 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.492 * [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)))))
1539795929.492 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539795929.492 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.495 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795929.498 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.501 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795929.504 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539795929.504 * [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)))))
1539795929.504 * * * * [misc]progress:  [ 45 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539795929.504 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539795929.504 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.506 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795929.508 * * [misc]simplify:  iters left: 4 (22 enodes)
1539795929.511 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795929.513 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539795929.513 * [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)))))
1539795929.513 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539795929.514 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.515 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795929.518 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.521 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795929.524 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539795929.524 * [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)))))
1539795929.524 * * * * [misc]progress:  [ 46 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539795929.524 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539795929.524 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795929.525 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795929.528 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.533 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795929.539 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539795929.539 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539795929.539 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539795929.539 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.543 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795929.547 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795929.553 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795929.561 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539795929.561 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539795929.561 * * * * [misc]progress:  [ 47 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1539795929.561 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.561 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.565 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795929.570 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795929.577 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795929.583 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.583 * [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)))))
1539795929.583 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539795929.584 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.587 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795929.593 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.599 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795929.605 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539795929.605 * [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)))))
1539795929.605 * * * * [misc]progress:  [ 48 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539795929.605 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539795929.605 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.609 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795929.613 * * [misc]simplify:  iters left: 4 (22 enodes)
1539795929.619 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795929.625 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539795929.625 * [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)))))
1539795929.625 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539795929.625 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795929.629 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795929.634 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.640 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795929.643 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539795929.643 * [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)))))
1539795929.643 * * * * [misc]progress:  [ 49 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539795929.643 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539795929.643 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795929.645 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795929.647 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795929.650 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795929.652 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539795929.652 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539795929.652 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539795929.652 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.654 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795929.656 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795929.659 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795929.662 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539795929.662 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539795929.662 * * * * [misc]progress:  [ 50 / 83 ] simplifiying candidate #<alt (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)))))>
1539795929.662 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.662 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.664 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795929.666 * * [misc]simplify:  iters left: 4 (18 enodes)
1539795929.668 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.668 * [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)))))
1539795929.669 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539795929.669 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.671 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795929.674 * * [misc]simplify:  iters left: 4 (17 enodes)
1539795929.679 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539795929.679 * [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)))))
1539795929.679 * * * * [misc]progress:  [ 51 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1539795929.679 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795929.680 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795929.682 * * [misc]simplify:  iters left: 5 (12 enodes)
1539795929.686 * * [misc]simplify:  iters left: 4 (15 enodes)
1539795929.688 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795929.688 * [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)))))
1539795929.689 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795929.689 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795929.690 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795929.692 * * [misc]simplify:  iters left: 4 (17 enodes)
1539795929.695 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795929.695 * [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)))))
1539795929.695 * * * * [misc]progress:  [ 52 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
1539795929.695 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1539795929.695 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795929.696 * * [misc]simplify:  iters left: 5 (13 enodes)
1539795929.698 * * [misc]simplify:  iters left: 4 (18 enodes)
1539795929.700 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539795929.700 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539795929.700 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539795929.700 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795929.702 * * [misc]simplify:  iters left: 5 (13 enodes)
1539795929.704 * * [misc]simplify:  iters left: 4 (16 enodes)
1539795929.706 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539795929.706 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539795929.706 * * * * [misc]progress:  [ 53 / 83 ] simplifiying candidate #<alt (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 (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1539795929.706 * [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))))
1539795929.706 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795929.709 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795929.713 * * [misc]simplify:  iters left: 4 (46 enodes)
1539795929.719 * * [misc]simplify:  iters left: 3 (50 enodes)
1539795929.724 * * [misc]simplify:  iters left: 2 (53 enodes)
1539795929.734 * [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))))
1539795929.734 * [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)))))
1539795929.735 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539795929.735 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.739 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795929.745 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795929.753 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.760 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539795929.760 * [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)))))
1539795929.760 * * * * [misc]progress:  [ 54 / 83 ] simplifiying candidate #<alt (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 (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1539795929.760 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1539795929.761 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795929.765 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795929.772 * * [misc]simplify:  iters left: 4 (34 enodes)
1539795929.777 * * [misc]simplify:  iters left: 3 (37 enodes)
1539795929.781 * [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))))))
1539795929.782 * [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)))))
1539795929.782 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.782 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.784 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795929.787 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795929.790 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.794 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.794 * [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)))))
1539795929.794 * * * * [misc]progress:  [ 55 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1539795929.794 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1539795929.794 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.796 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795929.800 * * [misc]simplify:  iters left: 4 (39 enodes)
1539795929.805 * * [misc]simplify:  iters left: 3 (54 enodes)
1539795929.816 * * [misc]simplify:  iters left: 2 (80 enodes)
1539795929.836 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1539795929.836 * [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))))
1539795929.837 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539795929.837 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795929.841 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795929.847 * * [misc]simplify:  iters left: 4 (28 enodes)
1539795929.855 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.862 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539795929.862 * [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))))
1539795929.862 * * * * [misc]progress:  [ 56 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))))>
1539795929.862 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.863 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795929.867 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795929.874 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795929.883 * * [misc]simplify:  iters left: 3 (34 enodes)
1539795929.892 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795929.892 * [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)))))
1539795929.892 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539795929.892 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.896 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795929.902 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795929.910 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.918 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539795929.918 * [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)))))
1539795929.918 * * * * [misc]progress:  [ 57 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))))>
1539795929.918 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.919 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.923 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795929.929 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795929.936 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.944 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.944 * [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)))))
1539795929.944 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.944 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795929.949 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795929.955 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795929.963 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795929.970 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539795929.970 * [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)))))
1539795929.970 * * * * [misc]progress:  [ 58 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))))>
1539795929.971 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1539795929.971 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795929.975 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795929.981 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795929.989 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795929.997 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1539795929.997 * [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))))
1539795929.997 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539795929.997 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795930.001 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795930.007 * * [misc]simplify:  iters left: 4 (28 enodes)
1539795930.015 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795930.019 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539795930.019 * [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))))
1539795930.019 * * * * [misc]progress:  [ 59 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1539795930.019 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795930.019 * * [misc]simplify:  iters left: 6 (6 enodes)
1539795930.020 * * [misc]simplify:  iters left: 5 (10 enodes)
1539795930.021 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539795930.021 * [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)))))
1539795930.021 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539795930.021 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795930.024 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795930.026 * * [misc]simplify:  iters left: 4 (28 enodes)
1539795930.030 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795930.034 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539795930.034 * [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)))))
1539795930.034 * * * * [misc]progress:  [ 60 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1539795930.034 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539795930.034 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795930.036 * * [misc]simplify:  iters left: 3 (7 enodes)
1539795930.038 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539795930.038 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539795930.038 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795930.038 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795930.042 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795930.048 * * [misc]simplify:  iters left: 4 (28 enodes)
1539795930.053 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795930.057 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539795930.057 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539795930.057 * * * * [misc]progress:  [ 61 / 83 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539795930.057 * [enter]simplify:  Simplifying (/ 1 1)
1539795930.057 * * [misc]simplify:  iters left: 2 (2 enodes)
1539795930.057 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795930.058 * [exit]simplify:  Simplified to 1
1539795930.058 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1539795930.058 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539795930.058 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795930.060 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795930.062 * * [misc]simplify:  iters left: 4 (27 enodes)
1539795930.066 * * [misc]simplify:  iters left: 3 (29 enodes)
1539795930.069 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1539795930.069 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1539795930.070 * * * * [misc]progress:  [ 62 / 83 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539795930.070 * * * * [misc]progress:  [ 63 / 83 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1539795930.070 * * * * [misc]progress:  [ 64 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539795930.070 * * * * [misc]progress:  [ 65 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539795930.070 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539795930.070 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795930.070 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539795930.070 * [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))))
1539795930.070 * * * * [misc]progress:  [ 66 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539795930.070 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539795930.070 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795930.071 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539795930.071 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539795930.071 * * * * [misc]progress:  [ 67 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539795930.071 * [enter]simplify:  Simplifying (sqrt k)
1539795930.071 * * [misc]simplify:  iters left: 1 (2 enodes)
1539795930.071 * [exit]simplify:  Simplified to (sqrt k)
1539795930.071 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1539795930.071 * * * * [misc]progress:  [ 68 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539795930.072 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795930.072 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795930.073 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795930.074 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795930.076 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795930.079 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795930.079 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539795930.079 * * * * [misc]progress:  [ 69 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539795930.079 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795930.079 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795930.080 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795930.082 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795930.084 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795930.086 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795930.086 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539795930.086 * * * * [misc]progress:  [ 70 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1539795930.086 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539795930.086 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795930.087 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795930.089 * * [misc]simplify:  iters left: 3 (12 enodes)
1539795930.090 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539795930.090 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1539795930.090 * * * * [misc]progress:  [ 71 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1539795930.090 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1539795930.090 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795930.092 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795930.095 * * [misc]simplify:  iters left: 4 (27 enodes)
1539795930.098 * * [misc]simplify:  iters left: 3 (29 enodes)
1539795930.102 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1539795930.102 * [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)))))))
1539795930.102 * * * * [misc]progress:  [ 72 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))>
1539795930.102 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1539795930.102 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795930.104 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795930.107 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795930.110 * * [misc]simplify:  iters left: 3 (27 enodes)
1539795930.116 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1539795930.116 * [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)))))))
1539795930.116 * * * * [misc]progress:  [ 73 / 83 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539795930.116 * * * * [misc]progress:  [ 74 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539795930.116 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795930.116 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795930.119 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795930.122 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795930.127 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795930.131 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795930.131 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539795930.131 * * * * [misc]progress:  [ 75 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (- (+ (* 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))))) (sqrt k)))>
1539795930.132 * [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)))))
1539795930.132 * * [misc]simplify:  iters left: 6 (37 enodes)
1539795930.146 * * [misc]simplify:  iters left: 5 (108 enodes)
1539795930.168 * * [misc]simplify:  iters left: 4 (368 enodes)
1539795930.418 * [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))))))
1539795930.419 * [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)))
1539795930.419 * * * * [misc]progress:  [ 76 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1539795930.419 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1539795930.419 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795930.425 * * [misc]simplify:  iters left: 5 (33 enodes)
1539795930.435 * * [misc]simplify:  iters left: 4 (64 enodes)
1539795930.460 * * [misc]simplify:  iters left: 3 (179 enodes)
1539795930.566 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2)))
1539795930.566 * [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)))
1539795930.567 * * * * [misc]progress:  [ 77 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1539795930.567 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1539795930.567 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795930.573 * * [misc]simplify:  iters left: 5 (30 enodes)
1539795930.582 * * [misc]simplify:  iters left: 4 (65 enodes)
1539795930.595 * * [misc]simplify:  iters left: 3 (208 enodes)
1539795930.769 * [exit]simplify:  Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n))))
1539795930.769 * [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)))
1539795930.769 * * * * [misc]progress:  [ 78 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539795930.769 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795930.769 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795930.771 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795930.773 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795930.778 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795930.782 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795930.782 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539795930.782 * * * * [misc]progress:  [ 79 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539795930.782 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795930.782 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795930.784 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795930.787 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795930.791 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795930.795 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795930.795 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539795930.795 * * * * [misc]progress:  [ 80 / 83 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539795930.795 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795930.795 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795930.797 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795930.799 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795930.801 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795930.803 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795930.803 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539795930.803 * * * * [misc]progress:  [ 81 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +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)))))))))))))))))))))))>
1539795930.804 * [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))))))))))))))))))))))
1539795930.804 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795930.804 * * * * [misc]progress:  [ 82 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +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)))))))))>
1539795930.804 * [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))))))))
1539795930.804 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795930.804 * * * * [misc]progress:  [ 83 / 83 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +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))))))))))))>
1539795930.804 * [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)))))))))))
1539795930.804 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795930.804 * * * [misc]progress:  adding candidates to table
1539795931.720 * * [misc]progress:  iteration 2 / 4
1539795931.720 * * * [misc]progress:  picking best candidate
1539795931.756 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795931.756 * * * [misc]progress:  localizing error
1539795931.823 * * * [misc]progress:  generating rewritten candidates
1539795931.823 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
1539795931.828 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
1539795931.833 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1539795931.864 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
1539795931.869 * * * [misc]progress:  generating series expansions
1539795931.869 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
1539795931.869 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539795931.869 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795931.869 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.869 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.869 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.869 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.869 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.869 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.869 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.869 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.869 * [misc]backup-simplify:  Simplify PI into PI
1539795931.869 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.869 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.869 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.869 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.869 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.869 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.869 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.869 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.870 * [misc]backup-simplify:  Simplify PI into PI
1539795931.870 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795931.871 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795931.871 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.871 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795931.872 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795931.872 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.873 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795931.875 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795931.875 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.876 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.878 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795931.878 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.880 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.882 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795931.882 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.885 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.887 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795931.888 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.891 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.894 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795931.895 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.899 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795931.903 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795931.903 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.903 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795931.903 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539795931.903 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795931.904 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795931.904 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.904 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.904 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.904 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.904 * [misc]backup-simplify:  Simplify PI into PI
1539795931.904 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.904 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.904 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.904 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.904 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795931.904 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.904 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.904 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.904 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.904 * [misc]backup-simplify:  Simplify PI into PI
1539795931.904 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.904 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.904 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.904 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.905 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.905 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.906 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795931.907 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795931.907 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.908 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.909 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795931.909 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.911 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.912 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.912 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.914 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.916 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.916 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.919 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.922 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.922 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.924 * [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
1539795931.926 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.926 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.926 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795931.926 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539795931.926 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795931.926 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795931.926 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795931.926 * [misc]backup-simplify:  Simplify -2 into -2
1539795931.926 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.926 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.926 * [misc]backup-simplify:  Simplify PI into PI
1539795931.926 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.926 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.926 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.926 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.926 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795931.926 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795931.926 * [misc]backup-simplify:  Simplify -2 into -2
1539795931.926 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.927 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.927 * [misc]backup-simplify:  Simplify PI into PI
1539795931.927 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.927 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.927 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.927 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.927 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795931.927 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795931.928 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795931.928 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795931.928 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.929 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.930 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795931.930 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.931 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.932 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.932 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.933 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.934 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.934 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.935 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.937 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.937 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.938 * [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
1539795931.940 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.940 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.941 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795931.941 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
1539795931.941 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539795931.941 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795931.941 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.941 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.941 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.941 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.941 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.941 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.941 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.941 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.941 * [misc]backup-simplify:  Simplify PI into PI
1539795931.941 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.941 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.941 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.941 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.941 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.941 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.941 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.941 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.941 * [misc]backup-simplify:  Simplify PI into PI
1539795931.941 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795931.941 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795931.941 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.942 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795931.942 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795931.942 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.943 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795931.944 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795931.944 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.945 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.946 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795931.946 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.948 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.950 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795931.950 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.951 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.953 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795931.953 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.955 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.957 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795931.957 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.959 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795931.961 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795931.961 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.961 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795931.961 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539795931.962 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795931.962 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795931.962 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.962 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.962 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.962 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.962 * [misc]backup-simplify:  Simplify PI into PI
1539795931.962 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.962 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.962 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.962 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.962 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795931.962 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.962 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.962 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.962 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.962 * [misc]backup-simplify:  Simplify PI into PI
1539795931.962 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.962 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.962 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.962 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.962 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.963 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795931.963 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795931.964 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795931.964 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.964 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.965 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795931.965 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.966 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.967 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.967 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.968 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.969 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.969 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.970 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.972 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.972 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.973 * [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
1539795931.975 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.975 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.975 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795931.976 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539795931.976 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795931.976 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795931.976 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795931.976 * [misc]backup-simplify:  Simplify -2 into -2
1539795931.976 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.976 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.976 * [misc]backup-simplify:  Simplify PI into PI
1539795931.976 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.976 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.976 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.976 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.976 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795931.976 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795931.976 * [misc]backup-simplify:  Simplify -2 into -2
1539795931.976 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795931.976 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.976 * [misc]backup-simplify:  Simplify PI into PI
1539795931.976 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.976 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.976 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.976 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795931.976 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795931.977 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795931.977 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795931.978 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795931.978 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.978 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.979 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795931.979 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.980 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.981 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795931.981 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.982 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.983 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795931.983 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.985 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795931.986 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795931.986 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.988 * [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
1539795931.989 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795931.989 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.990 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795931.990 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1539795931.990 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k)))
1539795931.990 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539795931.990 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795931.990 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.990 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795931.990 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795931.990 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795931.990 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795931.990 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795931.990 * [misc]taylor:  Taking taylor expansion of k in k
1539795931.991 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.991 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.991 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539795931.991 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539795931.991 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795931.991 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.991 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795931.991 * [misc]taylor:  Taking taylor expansion of n in k
1539795931.991 * [misc]backup-simplify:  Simplify n into n
1539795931.991 * [misc]taylor:  Taking taylor expansion of PI in k
1539795931.991 * [misc]backup-simplify:  Simplify PI into PI
1539795931.991 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795931.991 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539795931.991 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539795931.991 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795931.991 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795931.991 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539795931.991 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795931.991 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539795931.992 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539795931.992 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539795931.992 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539795931.992 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795931.993 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539795931.993 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795931.993 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539795931.993 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539795931.993 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795931.993 * [misc]taylor:  Taking taylor expansion of n in k
1539795931.993 * [misc]backup-simplify:  Simplify n into n
1539795931.993 * [misc]taylor:  Taking taylor expansion of PI in k
1539795931.993 * [misc]backup-simplify:  Simplify PI into PI
1539795931.993 * [misc]taylor:  Taking taylor expansion of k in k
1539795931.993 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.993 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.993 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795931.993 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539795931.993 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795931.993 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539795931.993 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.993 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.993 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795931.993 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795931.993 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795931.993 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539795931.994 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795931.994 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795931.994 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795931.994 * [misc]taylor:  Taking taylor expansion of k in n
1539795931.994 * [misc]backup-simplify:  Simplify k into k
1539795931.994 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795931.994 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.994 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.994 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.994 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.994 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.994 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.994 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.994 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.994 * [misc]backup-simplify:  Simplify PI into PI
1539795931.994 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795931.994 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795931.995 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795931.995 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795931.995 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795931.995 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795931.995 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795931.996 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795931.996 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539795931.997 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539795931.997 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795931.997 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795931.997 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.997 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.997 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.997 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.997 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.997 * [misc]backup-simplify:  Simplify PI into PI
1539795931.997 * [misc]taylor:  Taking taylor expansion of k in n
1539795931.997 * [misc]backup-simplify:  Simplify k into k
1539795931.997 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795931.997 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795931.997 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795931.997 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795931.998 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.998 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.998 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795931.998 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795931.998 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795931.998 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795931.998 * [misc]taylor:  Taking taylor expansion of k in n
1539795931.998 * [misc]backup-simplify:  Simplify k into k
1539795931.998 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795931.998 * [misc]backup-simplify:  Simplify 2 into 2
1539795931.998 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795931.998 * [misc]taylor:  Taking taylor expansion of n in n
1539795931.998 * [misc]backup-simplify:  Simplify 0 into 0
1539795931.998 * [misc]backup-simplify:  Simplify 1 into 1
1539795931.998 * [misc]taylor:  Taking taylor expansion of PI in n
1539795931.998 * [misc]backup-simplify:  Simplify PI into PI
1539795931.998 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795931.998 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795931.999 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795931.999 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795932.000 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.000 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795932.000 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795932.001 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.001 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539795932.002 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539795932.002 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795932.002 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795932.002 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795932.002 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.002 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.002 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.002 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.002 * [misc]backup-simplify:  Simplify PI into PI
1539795932.002 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.002 * [misc]backup-simplify:  Simplify k into k
1539795932.002 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795932.003 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795932.003 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795932.003 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.003 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795932.004 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))
1539795932.005 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539795932.005 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795932.005 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.005 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795932.006 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795932.007 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795932.010 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.010 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539795932.010 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.011 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.012 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795932.013 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.014 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0
1539795932.015 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)))
1539795932.015 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k
1539795932.015 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k
1539795932.015 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.015 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.015 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k
1539795932.015 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539795932.015 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.015 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.015 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.015 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.016 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.016 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.016 * [misc]backup-simplify:  Simplify PI into PI
1539795932.016 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.016 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.016 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.016 * [misc]backup-simplify:  Simplify n into n
1539795932.016 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.016 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.016 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.016 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.016 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.016 * [misc]backup-simplify:  Simplify PI into PI
1539795932.016 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.017 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.017 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.017 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.017 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.018 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.018 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539795932.018 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539795932.019 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795932.020 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795932.023 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.023 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795932.023 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539795932.024 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539795932.024 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795932.024 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.024 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.024 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.024 * [misc]backup-simplify:  Simplify (* PI 1) into PI
1539795932.025 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539795932.026 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539795932.026 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539795932.027 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795932.028 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795932.028 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.029 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795932.029 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539795932.030 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539795932.030 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539795932.032 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795932.033 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795932.038 * [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
1539795932.038 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.038 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539795932.039 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.039 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.040 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795932.042 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.044 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795932.044 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0
1539795932.046 * [misc]backup-simplify:  Simplify (+ (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))))
1539795932.046 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)))) in k
1539795932.046 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2))) in k
1539795932.046 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.046 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.046 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) (pow k 2)) in k
1539795932.046 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539795932.046 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.046 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.046 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.046 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.047 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.047 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.047 * [misc]backup-simplify:  Simplify PI into PI
1539795932.047 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.047 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.047 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.047 * [misc]backup-simplify:  Simplify n into n
1539795932.047 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.047 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.047 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.047 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.047 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.047 * [misc]backup-simplify:  Simplify PI into PI
1539795932.048 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.048 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.048 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.048 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.048 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.049 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.049 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539795932.050 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539795932.050 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795932.051 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795932.054 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.054 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795932.054 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539795932.055 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539795932.055 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795932.055 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795932.055 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.055 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.055 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.056 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795932.056 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539795932.057 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795932.057 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795932.058 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539795932.059 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539795932.060 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795932.061 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))
1539795932.063 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (pow PI 2) (log (* 2 PI)))) (* 1/2 (* (pow PI 2) (log n)))))) (* 0 (pow PI 2))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539795932.064 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795932.068 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n)))))) 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539795932.073 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795932.076 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795932.079 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795932.080 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1) 1)))) into (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539795932.081 * [misc]backup-simplify:  Simplify (+ (* PI (* -1 (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))) (* 0 1)) into (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))
1539795932.083 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* PI (log (* 2 PI)))) (* 1/2 (* PI (log n)))))) (* 0 PI)) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539795932.086 * [misc]backup-simplify:  Simplify (- (/ (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI))))))) 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539795932.089 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795932.091 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795932.093 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795932.099 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1539795932.099 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (/ 1 k))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n)))
1539795932.099 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (n k) around 0
1539795932.099 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539795932.099 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539795932.099 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.099 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.099 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.099 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.100 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.100 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795932.100 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.100 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.100 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.100 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.100 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795932.100 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.100 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.100 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795932.100 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.100 * [misc]backup-simplify:  Simplify PI into PI
1539795932.100 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.100 * [misc]backup-simplify:  Simplify n into n
1539795932.100 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795932.100 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539795932.100 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539795932.100 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795932.100 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539795932.100 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539795932.100 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539795932.101 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539795932.101 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539795932.101 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795932.101 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.101 * [misc]backup-simplify:  Simplify PI into PI
1539795932.101 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.101 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.101 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.101 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.101 * [misc]backup-simplify:  Simplify n into n
1539795932.101 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795932.101 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795932.101 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795932.101 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.102 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539795932.102 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.102 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.102 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.102 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.102 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.102 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.102 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.102 * [misc]backup-simplify:  Simplify k into k
1539795932.102 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795932.102 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.102 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.102 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.102 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.102 * [misc]backup-simplify:  Simplify PI into PI
1539795932.102 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.102 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.102 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.102 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.103 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.103 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.103 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795932.103 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.103 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.104 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539795932.104 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.104 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795932.104 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795932.104 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795932.104 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.104 * [misc]backup-simplify:  Simplify PI into PI
1539795932.104 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.104 * [misc]backup-simplify:  Simplify k into k
1539795932.104 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.104 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.104 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.104 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795932.104 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795932.105 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.105 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795932.105 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.105 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.105 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.105 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.105 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.105 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.105 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.105 * [misc]backup-simplify:  Simplify k into k
1539795932.105 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795932.105 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.105 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.105 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.105 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.105 * [misc]backup-simplify:  Simplify PI into PI
1539795932.105 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.105 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.105 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.106 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.106 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.106 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.106 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795932.106 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.107 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.107 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539795932.107 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.107 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795932.107 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795932.107 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795932.107 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.107 * [misc]backup-simplify:  Simplify PI into PI
1539795932.107 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.107 * [misc]backup-simplify:  Simplify k into k
1539795932.107 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.107 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.107 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.107 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795932.108 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795932.108 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.108 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795932.108 * [misc]backup-simplify:  Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))
1539795932.109 * [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0
1539795932.109 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795932.109 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.109 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.109 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.110 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795932.110 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795932.112 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.112 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795932.112 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795932.112 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.112 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.113 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795932.114 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.114 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0
1539795932.115 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))))
1539795932.115 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.115 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.115 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.115 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.115 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.115 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.115 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.115 * [misc]backup-simplify:  Simplify PI into PI
1539795932.115 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.115 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.115 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.115 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.116 * [misc]backup-simplify:  Simplify n into n
1539795932.116 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.116 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.116 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.116 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.116 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.116 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.116 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.117 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.117 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.117 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539795932.117 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.117 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.117 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.117 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.117 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.117 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795932.117 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.117 * [misc]backup-simplify:  Simplify PI into PI
1539795932.117 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.117 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.117 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.118 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795932.118 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539795932.118 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0
1539795932.118 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539795932.118 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.118 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.118 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.119 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539795932.119 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539795932.119 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539795932.119 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.120 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.121 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795932.123 * [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
1539795932.124 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.124 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.124 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795932.124 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.124 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.125 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795932.126 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.127 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795932.128 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539795932.129 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))))
1539795932.130 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))))) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.130 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.130 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.130 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.130 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.130 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.130 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.130 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.130 * [misc]backup-simplify:  Simplify PI into PI
1539795932.130 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.131 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.131 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.131 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.131 * [misc]backup-simplify:  Simplify n into n
1539795932.131 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.131 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.131 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.131 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.131 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.132 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.132 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.133 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.133 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.133 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539795932.133 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.133 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.133 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.134 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.134 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.134 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539795932.134 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795932.134 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.134 * [misc]backup-simplify:  Simplify PI into PI
1539795932.134 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795932.134 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.134 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.134 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.135 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795932.135 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539795932.137 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) (* 0 0)) into (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))
1539795932.138 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539795932.139 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539795932.140 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))))
1539795932.140 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.141 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539795932.141 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.142 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3)))
1539795932.142 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.144 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.145 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795932.153 * [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
1539795932.153 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.153 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.154 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.154 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539795932.154 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.155 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.156 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795932.160 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.161 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.162 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795932.163 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))))
1539795932.163 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))))) in k
1539795932.163 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k
1539795932.163 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.164 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.164 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.164 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.164 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.164 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.164 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.164 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.164 * [misc]backup-simplify:  Simplify PI into PI
1539795932.164 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.165 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.165 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.165 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.165 * [misc]backup-simplify:  Simplify n into n
1539795932.165 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.165 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.165 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.165 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.165 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.165 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.166 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.167 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.167 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.167 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539795932.167 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.167 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.167 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.167 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.168 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.168 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539795932.168 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539795932.168 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.168 * [misc]backup-simplify:  Simplify PI into PI
1539795932.168 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539795932.168 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.168 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.168 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.169 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539795932.170 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795932.171 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539795932.173 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539795932.174 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0
1539795932.175 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.175 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.175 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.175 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539795932.176 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.177 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4)))
1539795932.177 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.179 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.181 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795932.194 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795932.194 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.195 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.195 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.195 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.196 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0
1539795932.196 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.196 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.197 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539795932.203 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.205 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.206 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1539795932.208 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))))
1539795932.208 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))))) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.208 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.208 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.208 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.208 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.208 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.208 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.208 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.208 * [misc]backup-simplify:  Simplify PI into PI
1539795932.209 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.209 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.209 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.209 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.209 * [misc]backup-simplify:  Simplify n into n
1539795932.209 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.209 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.209 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.209 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.210 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.212 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.212 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.213 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.213 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.213 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539795932.213 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.213 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.213 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.214 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.214 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.214 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539795932.214 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539795932.214 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.214 * [misc]backup-simplify:  Simplify PI into PI
1539795932.214 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539795932.214 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.214 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.214 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.214 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795932.215 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795932.215 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539795932.216 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795932.217 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))
1539795932.218 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))
1539795932.219 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539795932.220 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))
1539795932.221 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539795932.222 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.223 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795932.225 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539795932.227 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0)))) into 0
1539795932.227 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.227 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.227 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.228 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539795932.229 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.230 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5)))
1539795932.230 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.233 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.235 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795932.255 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795932.255 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.255 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.255 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.255 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.256 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.256 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0
1539795932.257 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.257 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.258 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539795932.267 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.268 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.269 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))))) into 0
1539795932.272 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))))
1539795932.272 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))))) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.272 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.272 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.272 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.272 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.272 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.272 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.272 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.272 * [misc]backup-simplify:  Simplify PI into PI
1539795932.273 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.273 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.273 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.273 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.273 * [misc]backup-simplify:  Simplify n into n
1539795932.273 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.273 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.273 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.273 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.273 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.274 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.274 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.275 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.276 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.276 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539795932.276 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.276 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.276 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.276 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.276 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.276 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539795932.276 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539795932.276 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.276 * [misc]backup-simplify:  Simplify PI into PI
1539795932.276 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539795932.276 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.276 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.276 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.277 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795932.278 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795932.278 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539795932.279 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539795932.281 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539795932.282 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0
1539795932.282 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.282 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.283 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539795932.285 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.287 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795932.290 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0
1539795932.291 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))))) into 0
1539795932.292 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.292 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.292 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.292 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539795932.293 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.296 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6)))
1539795932.296 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539795932.299 * [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
1539795932.302 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795932.333 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795932.333 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.334 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.334 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.334 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.334 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.334 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.335 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0
1539795932.335 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795932.336 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.337 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539795932.351 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.353 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795932.354 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))))) into 0
1539795932.357 * [misc]backup-simplify:  Simplify (+ (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))))
1539795932.357 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))))) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.357 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.357 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795932.357 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795932.357 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795932.357 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.357 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.357 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.357 * [misc]backup-simplify:  Simplify PI into PI
1539795932.358 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.358 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.358 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.358 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.359 * [misc]backup-simplify:  Simplify n into n
1539795932.359 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.359 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.359 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.359 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.359 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.359 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795932.360 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795932.360 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539795932.361 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795932.361 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539795932.361 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795932.361 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795932.361 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.361 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795932.362 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795932.362 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539795932.362 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539795932.362 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.362 * [misc]backup-simplify:  Simplify PI into PI
1539795932.362 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539795932.362 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.362 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.362 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.362 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795932.363 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539795932.363 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795932.363 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795932.364 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539795932.364 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539795932.365 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))
1539795932.368 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))
1539795932.369 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539795932.370 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))
1539795932.375 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (* (sqrt 2) PI)))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539795932.375 * [misc]backup-simplify:  Simplify (/ (* (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (/ 1 (- k)))) into (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k)))
1539795932.376 * [misc]approximate:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in (n k) around 0
1539795932.376 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795932.376 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.376 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.376 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.376 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.376 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539795932.376 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795932.376 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.376 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795932.376 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.376 * [misc]backup-simplify:  Simplify PI into PI
1539795932.376 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.376 * [misc]backup-simplify:  Simplify n into n
1539795932.376 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795932.376 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539795932.377 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539795932.377 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539795932.377 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539795932.377 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539795932.377 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539795932.377 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539795932.377 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539795932.377 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.377 * [misc]backup-simplify:  Simplify PI into PI
1539795932.377 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795932.377 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.377 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.377 * [misc]backup-simplify:  Simplify n into n
1539795932.378 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795932.378 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539795932.378 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539795932.379 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539795932.379 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539795932.379 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539795932.379 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795932.379 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795932.379 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795932.379 * [misc]backup-simplify:  Simplify -1 into -1
1539795932.379 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.379 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.379 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.379 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795932.380 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.380 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795932.380 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) (sqrt (* -2 (/ PI n)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))
1539795932.381 * [misc]backup-simplify:  Simplify (/ (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) +nan.0) into (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))
1539795932.381 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.381 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.381 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.381 * [misc]backup-simplify:  Simplify k into k
1539795932.381 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795932.381 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.381 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.381 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.381 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.381 * [misc]backup-simplify:  Simplify PI into PI
1539795932.381 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.381 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.381 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.382 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.382 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.382 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.382 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795932.383 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.384 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539795932.384 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795932.384 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539795932.384 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539795932.384 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539795932.384 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.384 * [misc]backup-simplify:  Simplify PI into PI
1539795932.384 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.384 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.384 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.384 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.384 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.385 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795932.385 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539795932.385 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.386 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795932.386 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795932.386 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795932.386 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795932.386 * [misc]backup-simplify:  Simplify -1 into -1
1539795932.386 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.386 * [misc]backup-simplify:  Simplify k into k
1539795932.386 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795932.386 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795932.387 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795932.387 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795932.387 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539795932.388 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795932.389 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795932.392 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795932.392 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795932.392 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795932.393 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.394 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795932.395 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.396 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.397 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539795932.397 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.397 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.397 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539795932.397 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.397 * [misc]backup-simplify:  Simplify k into k
1539795932.398 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539795932.398 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795932.398 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795932.398 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.398 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.398 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.398 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.398 * [misc]backup-simplify:  Simplify PI into PI
1539795932.398 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.398 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.398 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.398 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.398 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.399 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.399 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539795932.400 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.400 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539795932.401 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795932.401 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539795932.401 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539795932.401 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539795932.401 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.401 * [misc]backup-simplify:  Simplify PI into PI
1539795932.401 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.401 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.401 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.401 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.401 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.401 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795932.402 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539795932.402 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.403 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795932.403 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795932.403 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795932.403 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795932.403 * [misc]backup-simplify:  Simplify -1 into -1
1539795932.403 * [misc]taylor:  Taking taylor expansion of k in n
1539795932.403 * [misc]backup-simplify:  Simplify k into k
1539795932.403 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795932.403 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795932.403 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795932.403 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795932.404 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539795932.405 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795932.405 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795932.408 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795932.408 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539795932.409 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539795932.409 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.410 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795932.411 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.412 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.413 * [misc]backup-simplify:  Simplify (/ (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))
1539795932.413 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k
1539795932.413 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.413 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.413 * [misc]taylor:  Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539795932.413 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539795932.413 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.414 * [misc]backup-simplify:  Simplify PI into PI
1539795932.414 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795932.414 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.414 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795932.414 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795932.414 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.414 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.414 * [misc]backup-simplify:  Simplify PI into PI
1539795932.414 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.415 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.415 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.415 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.415 * [misc]backup-simplify:  Simplify n into n
1539795932.415 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.415 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.415 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.415 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.415 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.415 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795932.416 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539795932.416 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795932.417 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795932.417 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795932.417 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795932.417 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795932.417 * [misc]backup-simplify:  Simplify -1 into -1
1539795932.417 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.417 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.417 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.417 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795932.417 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.418 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795932.418 * [misc]backup-simplify:  Simplify (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539795932.419 * [misc]backup-simplify:  Simplify (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795932.419 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795932.420 * [misc]backup-simplify:  Simplify (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795932.421 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539795932.423 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
1539795932.424 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539795932.425 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.426 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795932.431 * [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
1539795932.432 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795932.432 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539795932.433 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.433 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539795932.436 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.438 * [misc]backup-simplify:  Simplify (+ (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.439 * [misc]backup-simplify:  Simplify (- (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))))
1539795932.439 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))))) in k
1539795932.439 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795932.440 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795932.440 * [misc]taylor:  Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.440 * [misc]backup-simplify:  Simplify PI into PI
1539795932.440 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795932.440 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.440 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795932.440 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795932.440 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.440 * [misc]taylor:  Taking taylor expansion of PI in k
1539795932.440 * [misc]backup-simplify:  Simplify PI into PI
1539795932.440 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.441 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.441 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795932.441 * [misc]taylor:  Taking taylor expansion of n in k
1539795932.441 * [misc]backup-simplify:  Simplify n into n
1539795932.441 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795932.441 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.441 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.441 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.441 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795932.442 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795932.442 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539795932.443 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795932.443 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795932.443 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795932.443 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795932.443 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795932.443 * [misc]backup-simplify:  Simplify -1 into -1
1539795932.443 * [misc]taylor:  Taking taylor expansion of k in k
1539795932.443 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.443 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.444 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795932.444 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795932.444 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795932.444 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795932.445 * [misc]backup-simplify:  Simplify (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539795932.446 * [misc]backup-simplify:  Simplify (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) +nan.0) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795932.447 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795932.448 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.449 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.450 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0
1539795932.450 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539795932.451 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795932.452 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.454 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.454 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795932.457 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539795932.457 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
1539795932.457 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2)
1539795932.457 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0
1539795932.458 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.458 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.458 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.458 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.458 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795932.458 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.458 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.458 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.458 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.458 * [misc]backup-simplify:  Simplify PI into PI
1539795932.458 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795932.459 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795932.459 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795932.460 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795932.460 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.461 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.462 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795932.462 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795932.462 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.462 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.462 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.462 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.462 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795932.462 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.462 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.462 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.462 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.463 * [misc]backup-simplify:  Simplify PI into PI
1539795932.463 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795932.463 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795932.464 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795932.464 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795932.465 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.465 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.466 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795932.466 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795932.467 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795932.468 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795932.469 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795932.472 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.473 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.474 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795932.475 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.475 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.477 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795932.478 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795932.483 * [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
1539795932.484 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.485 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795932.487 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.487 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.489 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795932.492 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795932.499 * [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
1539795932.500 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.501 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539795932.504 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.504 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.506 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795932.507 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795932.515 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795932.515 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.516 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
1539795932.519 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.519 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.522 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795932.524 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795932.535 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795932.536 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.537 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
1539795932.542 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.542 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.546 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795932.550 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795932.570 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795932.570 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795932.571 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0
1539795932.579 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.579 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.580 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795932.580 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2)
1539795932.580 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0
1539795932.580 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.580 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.580 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.580 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.580 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.580 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.580 * [misc]backup-simplify:  Simplify PI into PI
1539795932.580 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.580 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.580 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.580 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.580 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.581 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.581 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.582 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795932.582 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795932.582 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.582 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.582 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795932.582 * [misc]backup-simplify:  Simplify 2 into 2
1539795932.582 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.582 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.582 * [misc]backup-simplify:  Simplify PI into PI
1539795932.582 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.582 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.582 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.582 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.582 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795932.583 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795932.583 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.583 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795932.584 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795932.584 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795932.585 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795932.585 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795932.587 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795932.587 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.588 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795932.589 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.589 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.589 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.590 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795932.593 * [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
1539795932.594 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.594 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795932.595 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.595 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.596 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.597 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795932.602 * [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
1539795932.602 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.603 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795932.606 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539795932.606 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.608 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.610 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795932.623 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795932.625 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.626 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539795932.632 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.632 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.634 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.637 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795932.656 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795932.657 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.658 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539795932.667 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.667 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.670 * [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
1539795932.673 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795932.704 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795932.705 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795932.707 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539795932.720 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.720 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.721 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539795932.721 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2)
1539795932.721 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0
1539795932.721 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.722 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.722 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.722 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.722 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.722 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.722 * [misc]backup-simplify:  Simplify PI into PI
1539795932.722 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.722 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.722 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.722 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.723 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.723 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.724 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.724 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795932.725 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795932.725 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795932.725 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795932.725 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795932.725 * [misc]backup-simplify:  Simplify -2 into -2
1539795932.725 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795932.725 * [misc]taylor:  Taking taylor expansion of PI in n
1539795932.725 * [misc]backup-simplify:  Simplify PI into PI
1539795932.725 * [misc]taylor:  Taking taylor expansion of n in n
1539795932.725 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.725 * [misc]backup-simplify:  Simplify 1 into 1
1539795932.726 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795932.726 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795932.726 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795932.727 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.727 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795932.728 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795932.729 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795932.730 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795932.731 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795932.733 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795932.734 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.735 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795932.736 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795932.736 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.738 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.739 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795932.744 * [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
1539795932.744 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.745 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539795932.748 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.748 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.749 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.751 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795932.759 * [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
1539795932.759 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.760 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539795932.764 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539795932.764 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.766 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.768 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795932.782 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0
1539795932.783 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.784 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
1539795932.789 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.789 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.792 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795932.795 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795932.814 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 1)))) 120) into 0
1539795932.815 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.816 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
1539795932.825 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795932.825 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.828 * [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
1539795932.831 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795932.862 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -2 PI) 1)))) 720) into 0
1539795932.863 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795932.865 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0
1539795932.878 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795932.878 * [misc]backup-simplify:  Simplify 0 into 0
1539795932.879 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539795932.879 * * * [misc]progress:  simplifying candidates
1539795932.879 * * * * [misc]progress:  [ 1 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (log1p (expm1 (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 2 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (expm1 (log1p (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 3 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 4 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 5 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 6 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 7 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 8 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539795932.879 * * * * [misc]progress:  [ 9 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 10 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 11 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 12 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log1p (expm1 (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 13 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (expm1 (log1p (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 14 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 15 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 16 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 17 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 18 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 19 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 20 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 21 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 22 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795932.880 * * * * [misc]progress:  [ 23 / 82 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795932.880 * * * * [misc]progress:  [ 24 / 82 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795932.881 * * * * [misc]progress:  [ 25 / 82 ] simplifiying candidate #<alt (λ (k n) (pow (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1))>
1539795932.881 * * * * [misc]progress:  [ 26 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795932.881 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795932.881 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795932.886 * * [misc]simplify:  iters left: 5 (37 enodes)
1539795932.900 * * [misc]simplify:  iters left: 4 (91 enodes)
1539795932.925 * * [misc]simplify:  iters left: 3 (254 enodes)
1539795933.017 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.017 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.018 * * * * [misc]progress:  [ 27 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795933.018 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795933.018 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795933.022 * * [misc]simplify:  iters left: 5 (37 enodes)
1539795933.035 * * [misc]simplify:  iters left: 4 (91 enodes)
1539795933.077 * * [misc]simplify:  iters left: 3 (254 enodes)
1539795933.175 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.175 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.175 * * * * [misc]progress:  [ 28 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539795933.176 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539795933.176 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795933.178 * * [misc]simplify:  iters left: 5 (34 enodes)
1539795933.184 * * [misc]simplify:  iters left: 4 (79 enodes)
1539795933.207 * * [misc]simplify:  iters left: 3 (220 enodes)
1539795933.288 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.289 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.289 * * * * [misc]progress:  [ 29 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795933.289 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795933.289 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795933.295 * * [misc]simplify:  iters left: 5 (37 enodes)
1539795933.308 * * [misc]simplify:  iters left: 4 (91 enodes)
1539795933.354 * * [misc]simplify:  iters left: 3 (254 enodes)
1539795933.498 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.498 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.499 * * * * [misc]progress:  [ 30 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795933.499 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795933.499 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795933.504 * * [misc]simplify:  iters left: 5 (37 enodes)
1539795933.518 * * [misc]simplify:  iters left: 4 (91 enodes)
1539795933.558 * * [misc]simplify:  iters left: 3 (254 enodes)
1539795933.694 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.694 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.694 * * * * [misc]progress:  [ 31 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539795933.694 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539795933.694 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795933.697 * * [misc]simplify:  iters left: 5 (34 enodes)
1539795933.703 * * [misc]simplify:  iters left: 4 (79 enodes)
1539795933.732 * * [misc]simplify:  iters left: 3 (220 enodes)
1539795933.823 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795933.823 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795933.823 * * * * [misc]progress:  [ 32 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795933.823 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795933.823 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795933.826 * * [misc]simplify:  iters left: 5 (36 enodes)
1539795933.832 * * [misc]simplify:  iters left: 4 (89 enodes)
1539795933.868 * * [misc]simplify:  iters left: 3 (250 enodes)
1539795933.997 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795933.997 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795933.999 * * * * [misc]progress:  [ 33 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539795933.999 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539795933.999 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795934.004 * * [misc]simplify:  iters left: 5 (36 enodes)
1539795934.017 * * [misc]simplify:  iters left: 4 (89 enodes)
1539795934.057 * * [misc]simplify:  iters left: 3 (250 enodes)
1539795934.174 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795934.174 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795934.174 * * * * [misc]progress:  [ 34 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539795934.175 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539795934.175 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795934.180 * * [misc]simplify:  iters left: 5 (32 enodes)
1539795934.194 * * [misc]simplify:  iters left: 4 (67 enodes)
1539795934.218 * * [misc]simplify:  iters left: 3 (166 enodes)
1539795934.291 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795934.291 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795934.291 * * * * [misc]progress:  [ 35 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539795934.291 * [enter]simplify:  Simplifying (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539795934.291 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795934.294 * * [misc]simplify:  iters left: 5 (29 enodes)
1539795934.300 * * [misc]simplify:  iters left: 4 (44 enodes)
1539795934.314 * * [misc]simplify:  iters left: 3 (81 enodes)
1539795934.343 * * [misc]simplify:  iters left: 2 (219 enodes)
1539795934.553 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795934.553 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795934.553 * * * * [misc]progress:  [ 36 / 82 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795934.553 * * * * [misc]progress:  [ 37 / 82 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795934.553 * * * * [misc]progress:  [ 38 / 82 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539795934.554 * [enter]simplify:  Simplifying (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539795934.554 * * [misc]simplify:  iters left: 6 (20 enodes)
1539795934.561 * * [misc]simplify:  iters left: 5 (42 enodes)
1539795934.577 * * [misc]simplify:  iters left: 4 (131 enodes)
1539795934.642 * * [misc]simplify:  iters left: 3 (470 enodes)
1539795935.030 * [exit]simplify:  Simplified to (* (pow (pow (* (* 2 n) PI) (/ (- k) 2)) 3) (* (/ (* (* 2 n) PI) (* k (sqrt k))) (sqrt (* (* 2 n) PI))))
1539795935.030 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (pow (pow (* (* 2 n) PI) (/ (- k) 2)) 3) (* (/ (* (* 2 n) PI) (* k (sqrt k))) (sqrt (* (* 2 n) PI))))))
1539795935.031 * * * * [misc]progress:  [ 39 / 82 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539795935.031 * [enter]simplify:  Simplifying (/ (* (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539795935.031 * * [misc]simplify:  iters left: 6 (18 enodes)
1539795935.037 * * [misc]simplify:  iters left: 5 (41 enodes)
1539795935.047 * * [misc]simplify:  iters left: 4 (112 enodes)
1539795935.079 * * [misc]simplify:  iters left: 3 (360 enodes)
1539795935.464 * [exit]simplify:  Simplified to (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))
1539795935.464 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))))
1539795935.464 * * * * [misc]progress:  [ 40 / 82 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))) (cbrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795935.464 * * * * [misc]progress:  [ 41 / 82 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795935.464 * * * * [misc]progress:  [ 42 / 82 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))) (sqrt (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539795935.464 * * * * [misc]progress:  [ 43 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (- (sqrt k))))>
1539795935.464 * * * * [misc]progress:  [ 44 / 82 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))>
1539795935.465 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795935.465 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795935.468 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795935.470 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795935.474 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795935.477 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795935.477 * [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)))))
1539795935.477 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539795935.477 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795935.479 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795935.481 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795935.484 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795935.487 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539795935.487 * [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)))))
1539795935.487 * * * * [misc]progress:  [ 45 / 82 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539795935.487 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539795935.488 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795935.489 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795935.491 * * [misc]simplify:  iters left: 4 (22 enodes)
1539795935.497 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795935.503 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539795935.503 * [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)))))
1539795935.503 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539795935.503 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795935.507 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795935.512 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795935.519 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795935.525 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539795935.525 * [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)))))
1539795935.525 * * * * [misc]progress:  [ 46 / 82 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539795935.525 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539795935.525 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795935.528 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795935.533 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795935.541 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795935.547 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539795935.547 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539795935.547 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539795935.547 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795935.549 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795935.551 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795935.554 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795935.557 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539795935.557 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539795935.557 * * * * [misc]progress:  [ 47 / 82 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))>
1539795935.558 * * * * [misc]progress:  [ 48 / 82 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k))))>
1539795935.558 * * * * [misc]progress:  [ 49 / 82 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539795935.558 * * * * [misc]progress:  [ 50 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539795935.558 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539795935.558 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795935.558 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539795935.558 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1539795935.558 * * * * [misc]progress:  [ 51 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539795935.558 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539795935.558 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795935.559 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539795935.559 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539795935.559 * * * * [misc]progress:  [ 52 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))>
1539795935.559 * [enter]simplify:  Simplifying (sqrt k)
1539795935.559 * * [misc]simplify:  iters left: 1 (2 enodes)
1539795935.559 * [exit]simplify:  Simplified to (sqrt k)
1539795935.559 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))
1539795935.559 * * * * [misc]progress:  [ 53 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539795935.560 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795935.560 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795935.561 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795935.562 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795935.565 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795935.567 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795935.567 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539795935.567 * * * * [misc]progress:  [ 54 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539795935.567 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795935.567 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795935.568 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795935.570 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795935.572 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795935.574 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795935.574 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539795935.574 * * * * [misc]progress:  [ 55 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) 1) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539795935.574 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) 1)
1539795935.575 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795935.576 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795935.579 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795935.581 * * [misc]simplify:  iters left: 3 (27 enodes)
1539795935.584 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795935.584 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539795935.584 * * * * [misc]progress:  [ 56 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539795935.584 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0))
1539795935.584 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795935.586 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795935.588 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795935.591 * * [misc]simplify:  iters left: 3 (29 enodes)
1539795935.594 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795935.594 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539795935.594 * * * * [misc]progress:  [ 57 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (log1p (expm1 (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.594 * * * * [misc]progress:  [ 58 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (expm1 (log1p (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.594 * * * * [misc]progress:  [ 59 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.594 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) 1/2)
1539795935.594 * * [misc]simplify:  iters left: 6 (8 enodes)
1539795935.596 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795935.598 * * [misc]simplify:  iters left: 4 (33 enodes)
1539795935.608 * * [misc]simplify:  iters left: 3 (62 enodes)
1539795935.617 * * [misc]simplify:  iters left: 2 (93 enodes)
1539795935.632 * * [misc]simplify:  iters left: 1 (115 enodes)
1539795935.650 * [exit]simplify:  Simplified to (fma 1/2 (log (* 2 n)) (* 1/2 (log PI)))
1539795935.650 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (fma 1/2 (log (* 2 n)) (* 1/2 (log PI)))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.650 * * * * [misc]progress:  [ 60 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.651 * * * * [misc]progress:  [ 61 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (* 1 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.651 * [enter]simplify:  Simplifying (* PI (* n 2))
1539795935.651 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.653 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.656 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.660 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.663 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539795935.664 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* 2 n) PI) (* 1 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.664 * * * * [misc]progress:  [ 62 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow PI 1/2) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.664 * [enter]simplify:  Simplifying (pow PI 1/2)
1539795935.664 * * [misc]simplify:  iters left: 1 (3 enodes)
1539795935.665 * [exit]simplify:  Simplified to (sqrt PI)
1539795935.665 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (* (sqrt PI) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.665 * * * * [misc]progress:  [ 63 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.665 * * * * [misc]progress:  [ 64 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1/2) 1) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.665 * * * * [misc]progress:  [ 65 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.665 * * * * [misc]progress:  [ 66 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.665 * * * * [misc]progress:  [ 67 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (cbrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.665 * * * * [misc]progress:  [ 68 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.666 * * * * [misc]progress:  [ 69 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.666 * * * * [misc]progress:  [ 70 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.666 * * * * [misc]progress:  [ 71 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539795935.666 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.666 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.668 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.670 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.674 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.678 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.678 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539795935.678 * * * * [misc]progress:  [ 72 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539795935.679 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.679 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.680 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.683 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.687 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.691 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.691 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539795935.691 * * * * [misc]progress:  [ 73 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539795935.691 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.691 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.693 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.695 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.697 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.699 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.699 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539795935.699 * * * * [misc]progress:  [ 74 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.700 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.700 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.700 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.702 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.704 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.706 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.706 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.706 * * * * [misc]progress:  [ 75 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.706 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.706 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.707 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.708 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.710 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.712 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.712 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.712 * * * * [misc]progress:  [ 76 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.712 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795935.712 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795935.713 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795935.714 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795935.716 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795935.718 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795935.718 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.718 * * * * [misc]progress:  [ 77 / 82 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))))>
1539795935.718 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1539795935.718 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795935.718 * * * * [misc]progress:  [ 78 / 82 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k))))))))>
1539795935.719 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 2))) (* n (pow k 2)))) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (pow PI 3))) (* (pow n 2) (pow k 3)))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) PI)) k)))))))
1539795935.719 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795935.719 * * * * [misc]progress:  [ 79 / 82 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n))))))))>
1539795935.719 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI)) (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI) k)) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (pow PI 2)) n)))))))
1539795935.719 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795935.719 * * * * [misc]progress:  [ 80 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.719 * [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795935.719 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795935.722 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795935.730 * * [misc]simplify:  iters left: 4 (45 enodes)
1539795935.745 * * [misc]simplify:  iters left: 3 (91 enodes)
1539795935.768 * * [misc]simplify:  iters left: 2 (155 enodes)
1539795935.786 * * [misc]simplify:  iters left: 1 (189 enodes)
1539795935.809 * [exit]simplify:  Simplified to (sqrt (* 2 (* PI n)))
1539795935.809 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 (* PI n))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795935.809 * * * * [misc]progress:  [ 81 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795935.809 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539795935.809 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795935.812 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795935.817 * * [misc]simplify:  iters left: 4 (39 enodes)
1539795935.824 * * [misc]simplify:  iters left: 3 (73 enodes)
1539795935.838 * * [misc]simplify:  iters left: 2 (158 enodes)
1539795935.916 * * [misc]simplify:  iters left: 1 (399 enodes)
1539795936.250 * [exit]simplify:  Simplified to (sqrt (* (* n PI) 2))
1539795936.250 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* n PI) 2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795936.250 * * * * [misc]progress:  [ 82 / 82 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539795936.250 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539795936.250 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795936.253 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795936.258 * * [misc]simplify:  iters left: 4 (40 enodes)
1539795936.273 * * [misc]simplify:  iters left: 3 (89 enodes)
1539795936.311 * * [misc]simplify:  iters left: 2 (242 enodes)
1539795936.445 * [exit]simplify:  Simplified to (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2))
1539795936.445 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539795936.445 * * * [misc]progress:  adding candidates to table
1539795937.439 * * [misc]progress:  iteration 3 / 4
1539795937.439 * * * [misc]progress:  picking best candidate
1539795937.480 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795937.480 * * * [misc]progress:  localizing error
1539795937.511 * * * [misc]progress:  generating rewritten candidates
1539795937.511 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
1539795937.516 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
1539795937.520 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1539795937.543 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
1539795937.545 * * * [misc]progress:  generating series expansions
1539795937.545 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
1539795937.545 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539795937.545 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795937.545 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.545 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.545 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.545 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.545 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.545 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.545 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.545 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.545 * [misc]backup-simplify:  Simplify PI into PI
1539795937.545 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.545 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.545 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.545 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.545 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.545 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.545 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.545 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.545 * [misc]backup-simplify:  Simplify PI into PI
1539795937.546 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.546 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795937.546 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.546 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.547 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795937.547 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.547 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795937.548 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795937.548 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.549 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.550 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795937.550 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.551 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.552 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795937.552 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.554 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.555 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795937.555 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.557 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.559 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795937.559 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.562 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795937.564 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795937.564 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.564 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795937.564 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539795937.564 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795937.564 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.564 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.564 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.564 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.564 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.564 * [misc]backup-simplify:  Simplify PI into PI
1539795937.564 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.565 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.565 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.565 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.565 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.565 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.565 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.565 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.565 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.565 * [misc]backup-simplify:  Simplify PI into PI
1539795937.565 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.565 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.565 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.565 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.565 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.565 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.566 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795937.566 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795937.566 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.567 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.568 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.568 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.569 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.570 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.570 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.571 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.572 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.572 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.573 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.575 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.575 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.577 * [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
1539795937.580 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.580 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.580 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795937.580 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539795937.581 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795937.581 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.581 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.581 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.581 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.581 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.581 * [misc]backup-simplify:  Simplify PI into PI
1539795937.581 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.581 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.581 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.581 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.581 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.581 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.581 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.581 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.581 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.581 * [misc]backup-simplify:  Simplify PI into PI
1539795937.581 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.581 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.581 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.582 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.582 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.582 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.583 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795937.584 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795937.584 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.585 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.586 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.586 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.588 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.589 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.589 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.591 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.593 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.593 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.595 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.598 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.598 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.604 * [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
1539795937.608 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.608 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.608 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795937.609 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
1539795937.609 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539795937.609 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795937.609 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.609 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.609 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.609 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.609 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.609 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.609 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.609 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.609 * [misc]backup-simplify:  Simplify PI into PI
1539795937.609 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.609 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.609 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.609 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.609 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.609 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.609 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.609 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.609 * [misc]backup-simplify:  Simplify PI into PI
1539795937.610 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.610 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795937.610 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.610 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.611 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795937.611 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.612 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795937.613 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795937.613 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.615 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.617 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795937.617 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.619 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.621 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795937.621 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.624 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.626 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795937.627 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.630 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.633 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795937.633 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.637 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795937.641 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795937.641 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.642 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795937.642 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539795937.642 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795937.642 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.642 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.642 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.642 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.642 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.642 * [misc]backup-simplify:  Simplify PI into PI
1539795937.642 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.642 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.642 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.642 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.643 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.643 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.643 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.643 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.643 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.643 * [misc]backup-simplify:  Simplify PI into PI
1539795937.643 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.643 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.643 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.643 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.643 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.644 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.645 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795937.645 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795937.645 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.647 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.648 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.648 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.649 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.651 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.651 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.652 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.653 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.653 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.655 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.656 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.656 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.658 * [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
1539795937.660 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.660 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.660 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795937.660 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539795937.660 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795937.660 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.660 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.660 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.660 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.660 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.660 * [misc]backup-simplify:  Simplify PI into PI
1539795937.660 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.660 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.660 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.660 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.660 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.660 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.660 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.660 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.660 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.660 * [misc]backup-simplify:  Simplify PI into PI
1539795937.660 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.660 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.661 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.661 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.661 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.661 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.662 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795937.662 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795937.662 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.663 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.664 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.664 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.665 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.665 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.665 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.666 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.668 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.668 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.670 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.672 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.672 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.673 * [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
1539795937.675 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.675 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.675 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795937.675 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1539795937.676 * [misc]backup-simplify:  Simplify (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) into (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k)))
1539795937.676 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539795937.676 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.676 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.676 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.676 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.676 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.676 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.676 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.676 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.676 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.676 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.676 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.676 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795937.676 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.676 * [misc]backup-simplify:  Simplify n into n
1539795937.676 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.676 * [misc]backup-simplify:  Simplify PI into PI
1539795937.676 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795937.676 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539795937.676 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539795937.677 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795937.677 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539795937.677 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539795937.677 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539795937.678 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539795937.678 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539795937.678 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1539795937.678 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795937.678 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1539795937.678 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539795937.678 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539795937.678 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795937.678 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.678 * [misc]backup-simplify:  Simplify n into n
1539795937.678 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.678 * [misc]backup-simplify:  Simplify PI into PI
1539795937.678 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.678 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.678 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.678 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795937.678 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539795937.678 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.679 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539795937.679 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.679 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.679 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.679 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.679 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795937.679 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.679 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.679 * [misc]backup-simplify:  Simplify k into k
1539795937.679 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.679 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.679 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.679 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.679 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.679 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.679 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.679 * [misc]backup-simplify:  Simplify PI into PI
1539795937.679 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.680 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795937.680 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.680 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795937.681 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.681 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795937.681 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.681 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1539795937.682 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539795937.682 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1539795937.682 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795937.682 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795937.682 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.682 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.682 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.682 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.682 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.682 * [misc]backup-simplify:  Simplify PI into PI
1539795937.682 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.682 * [misc]backup-simplify:  Simplify k into k
1539795937.683 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.683 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.683 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795937.683 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.683 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795937.683 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1539795937.683 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1539795937.683 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795937.683 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.683 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.683 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.684 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.684 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795937.684 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.684 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.684 * [misc]backup-simplify:  Simplify k into k
1539795937.684 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.684 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.684 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.684 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.684 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.684 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.684 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.684 * [misc]backup-simplify:  Simplify PI into PI
1539795937.684 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.684 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795937.685 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.685 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795937.685 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.685 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539795937.686 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.686 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1539795937.686 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539795937.687 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) into (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))
1539795937.687 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795937.687 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795937.687 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795937.687 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.687 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.687 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.687 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.687 * [misc]backup-simplify:  Simplify PI into PI
1539795937.687 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.687 * [misc]backup-simplify:  Simplify k into k
1539795937.687 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795937.688 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795937.688 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795937.688 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.688 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795937.688 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539795937.688 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795937.688 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.689 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795937.690 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795937.691 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795937.691 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539795937.692 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.692 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795937.693 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795937.694 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1539795937.695 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))))
1539795937.695 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.695 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.695 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.695 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.695 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.695 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.695 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.695 * [misc]backup-simplify:  Simplify PI into PI
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.695 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.695 * [misc]backup-simplify:  Simplify n into n
1539795937.695 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.695 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.695 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.695 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.695 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.695 * [misc]backup-simplify:  Simplify PI into PI
1539795937.696 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.696 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.696 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.696 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.696 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.696 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.697 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539795937.697 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795937.697 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795937.698 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795937.699 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795937.699 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795937.700 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539795937.700 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539795937.700 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795937.700 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.700 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.700 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.700 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539795937.701 * [misc]backup-simplify:  Simplify (* 1 0) into 0
1539795937.701 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539795937.702 * [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1
1539795937.702 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539795937.702 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539795937.703 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795937.704 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795937.704 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.704 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795937.704 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539795937.705 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539795937.705 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795937.707 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.707 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795937.710 * [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
1539795937.710 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539795937.711 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.711 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795937.714 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795937.716 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))) (* 0 (/ 0 (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))))))) into 0
1539795937.717 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))))
1539795937.717 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))))) in k
1539795937.717 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)))) in k
1539795937.717 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.717 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.717 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2))) in k
1539795937.717 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1539795937.717 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.717 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.717 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.718 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.718 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.718 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.718 * [misc]backup-simplify:  Simplify PI into PI
1539795937.718 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.718 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.718 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.718 * [misc]backup-simplify:  Simplify n into n
1539795937.718 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.718 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.718 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.718 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.718 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.718 * [misc]backup-simplify:  Simplify PI into PI
1539795937.719 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.719 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.719 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.719 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.719 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.720 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795937.720 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539795937.720 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539795937.721 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539795937.722 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795937.725 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795937.725 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795937.726 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539795937.726 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539795937.726 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539795937.726 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795937.727 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.727 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.727 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.727 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.727 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795937.728 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.728 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.729 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539795937.729 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795937.730 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539795937.730 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795937.731 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) 1)))) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539795937.732 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1)) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1539795937.734 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))
1539795937.737 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (* 1/2 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* 0 (* (sqrt 2) (pow PI 2)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795937.739 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795937.741 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n)))))))
1539795937.742 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539795937.742 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539795937.743 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.746 * [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
1539795937.746 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539795937.746 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
1539795937.747 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
1539795937.748 * [misc]backup-simplify:  Simplify (* (exp 0) (+ (* (/ (pow (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2))))
1539795937.750 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 1) (* (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log n) (log (* 2 PI)))) (* 1/8 (pow (log (* 2 PI)) 2)))) 0))) into (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))
1539795937.751 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))) 1)))) into (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))
1539795937.752 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (+ (* 1/2 (* (sqrt 2) (* PI (log n)))) (* 1/2 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 0 (* (sqrt 2) PI))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795937.754 * [misc]backup-simplify:  Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795937.755 * [misc]backup-simplify:  Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))
1539795937.759 * [misc]backup-simplify:  Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* 1 n)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log (* 2 PI))))) (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (log n))))))) (* (/ 1 k) (pow n 2))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1539795937.759 * [misc]backup-simplify:  Simplify (/ (/ (pow (* PI (* (/ 1 n) 2)) 1/2) (pow (* PI (* (/ 1 n) 2)) (/ (/ 1 k) 2))) (sqrt (/ 1 k))) into (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n)))
1539795937.760 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0
1539795937.760 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.760 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.760 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.760 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.760 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.760 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.760 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.760 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.760 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.760 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1539795937.760 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.760 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.760 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795937.760 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.760 * [misc]backup-simplify:  Simplify PI into PI
1539795937.760 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.760 * [misc]backup-simplify:  Simplify n into n
1539795937.760 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795937.760 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539795937.760 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539795937.761 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1539795937.761 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1539795937.761 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (log (* 2 (/ PI n))) k))))
1539795937.761 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539795937.761 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539795937.761 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795937.761 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.761 * [misc]backup-simplify:  Simplify PI into PI
1539795937.761 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.761 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.761 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.761 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.761 * [misc]backup-simplify:  Simplify n into n
1539795937.761 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795937.762 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795937.762 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795937.762 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.762 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539795937.762 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.762 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.762 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.762 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.762 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795937.762 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.762 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.762 * [misc]backup-simplify:  Simplify k into k
1539795937.762 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1539795937.762 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.762 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.763 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.763 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.763 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.763 * [misc]backup-simplify:  Simplify PI into PI
1539795937.763 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.763 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.763 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.763 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.763 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.763 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.764 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.764 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539795937.764 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.765 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.765 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.765 * [misc]backup-simplify:  Simplify PI into PI
1539795937.765 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.765 * [misc]backup-simplify:  Simplify k into k
1539795937.765 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.765 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.765 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.765 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795937.765 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795937.765 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.765 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795937.765 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795937.765 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.765 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.765 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.766 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.766 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795937.766 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.766 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.766 * [misc]backup-simplify:  Simplify k into k
1539795937.766 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1539795937.766 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795937.766 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.766 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.766 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.766 * [misc]backup-simplify:  Simplify PI into PI
1539795937.766 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.766 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.766 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.766 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.766 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.767 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.767 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.767 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539795937.768 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.768 * [misc]backup-simplify:  Simplify (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.768 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795937.768 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795937.768 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795937.768 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.768 * [misc]backup-simplify:  Simplify PI into PI
1539795937.768 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.768 * [misc]backup-simplify:  Simplify k into k
1539795937.768 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.768 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.768 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.768 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795937.768 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795937.768 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.769 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795937.769 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
1539795937.769 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795937.769 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.769 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.770 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795937.770 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795937.772 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795937.772 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0
1539795937.772 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.773 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795937.774 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795937.775 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.775 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.775 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.775 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.775 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.775 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.775 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.775 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.776 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.776 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.776 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.776 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.776 * [misc]backup-simplify:  Simplify PI into PI
1539795937.776 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.776 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.776 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.776 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.776 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.776 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.776 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.776 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.776 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.776 * [misc]backup-simplify:  Simplify PI into PI
1539795937.776 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.777 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.777 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.777 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.777 * [misc]backup-simplify:  Simplify n into n
1539795937.777 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.777 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.777 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.777 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.777 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.777 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.777 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.778 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.778 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.778 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795937.778 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539795937.779 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795937.779 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539795937.780 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.780 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.780 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539795937.780 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539795937.781 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539795937.781 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795937.782 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.783 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795937.785 * [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
1539795937.786 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795937.786 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.786 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795937.788 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795937.789 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.790 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.790 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.790 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.790 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.790 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.790 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 2) (pow k 2))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.790 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539795937.790 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.790 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.790 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.790 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.791 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.791 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.791 * [misc]backup-simplify:  Simplify PI into PI
1539795937.791 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.791 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.791 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.791 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.791 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.791 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.791 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.791 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.791 * [misc]backup-simplify:  Simplify PI into PI
1539795937.791 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.791 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.791 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.791 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.791 * [misc]backup-simplify:  Simplify n into n
1539795937.791 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.792 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.792 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.792 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.792 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.792 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.792 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.793 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.793 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.793 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.793 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.793 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539795937.794 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795937.795 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.795 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1539795937.796 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.797 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.797 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.797 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539795937.797 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.798 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3)))
1539795937.798 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.799 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.800 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795937.805 * [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
1539795937.805 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795937.806 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.807 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795937.811 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795937.814 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.816 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.816 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.816 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.816 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.816 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.816 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 3) (pow k 3))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.816 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539795937.816 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.816 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.816 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.817 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.817 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.817 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.817 * [misc]backup-simplify:  Simplify PI into PI
1539795937.817 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.817 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.817 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.817 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.817 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.817 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.817 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.817 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.817 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.817 * [misc]backup-simplify:  Simplify PI into PI
1539795937.818 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.818 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.818 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.818 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.818 * [misc]backup-simplify:  Simplify n into n
1539795937.818 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.818 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.818 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.818 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.818 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.819 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.819 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.820 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.820 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.821 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.821 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539795937.821 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.822 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.822 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539795937.823 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539795937.824 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.824 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539795937.825 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795937.826 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539795937.827 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.828 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539795937.828 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795937.828 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.828 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.828 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539795937.829 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.829 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4)))
1539795937.830 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.831 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.833 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795937.841 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795937.841 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795937.841 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.842 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539795937.845 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795937.847 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.849 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.849 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.849 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.849 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 4) (pow k 4))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.849 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.849 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.849 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.849 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.849 * [misc]backup-simplify:  Simplify PI into PI
1539795937.849 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.849 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.849 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.849 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.849 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.849 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.849 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.849 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.849 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.849 * [misc]backup-simplify:  Simplify PI into PI
1539795937.850 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.850 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.850 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.850 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.850 * [misc]backup-simplify:  Simplify n into n
1539795937.850 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.850 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.850 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.850 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.850 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.850 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.851 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.851 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.851 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.852 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.852 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539795937.852 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.852 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.852 * [misc]backup-simplify:  Simplify (* (pow PI 4) 1) into (pow PI 4)
1539795937.853 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4))
1539795937.854 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 4)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.854 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1539795937.855 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.856 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.857 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539795937.857 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.858 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795937.860 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.861 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.861 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795937.861 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.861 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.861 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539795937.862 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.863 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5)))
1539795937.863 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.864 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.866 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795937.877 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795937.877 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795937.877 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.878 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539795937.883 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795937.886 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.888 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.888 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.888 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.888 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 5) (pow k 5))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.888 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.888 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.888 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.888 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.888 * [misc]backup-simplify:  Simplify PI into PI
1539795937.888 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.888 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.888 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.888 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.888 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.888 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.888 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.888 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.888 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.888 * [misc]backup-simplify:  Simplify PI into PI
1539795937.888 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.889 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.889 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.889 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.889 * [misc]backup-simplify:  Simplify n into n
1539795937.889 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.889 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.889 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.889 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.889 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.889 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.890 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.890 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.890 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.890 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.891 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539795937.891 * [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
1539795937.891 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.891 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.892 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.892 * [misc]backup-simplify:  Simplify (* (pow PI 5) 1) into (pow PI 5)
1539795937.892 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5))
1539795937.893 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 5)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.893 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795937.894 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795937.894 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539795937.895 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539795937.896 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.897 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539795937.897 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795937.897 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.898 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539795937.899 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.900 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795937.902 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.903 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))))) into 0
1539795937.903 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795937.903 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.903 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.903 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539795937.904 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795937.905 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6)))
1539795937.906 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795937.907 * [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
1539795937.909 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795937.936 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795937.937 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795937.937 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795937.938 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539795937.952 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795937.957 * [misc]backup-simplify:  Simplify (- (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) (* 0 (/ 0 (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539795937.960 * [misc]backup-simplify:  Simplify (+ (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.960 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.961 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.961 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* (pow PI 6) (pow k 6))) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.961 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.961 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795937.961 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795937.961 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.961 * [misc]backup-simplify:  Simplify PI into PI
1539795937.961 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.961 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.961 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.961 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539795937.961 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539795937.961 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795937.962 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539795937.962 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539795937.962 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539795937.962 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539795937.962 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795937.962 * [misc]backup-simplify:  Simplify 2 into 2
1539795937.962 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.962 * [misc]backup-simplify:  Simplify PI into PI
1539795937.962 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795937.963 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795937.963 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795937.963 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.963 * [misc]backup-simplify:  Simplify n into n
1539795937.963 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795937.963 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.963 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.963 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.963 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795937.964 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539795937.964 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539795937.965 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795937.965 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539795937.966 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795937.966 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539795937.967 * [misc]backup-simplify:  Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6)
1539795937.967 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.967 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.967 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795937.968 * [misc]backup-simplify:  Simplify (* (pow PI 6) 1) into (pow PI 6)
1539795937.968 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6))
1539795937.970 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) into (/ (* (sqrt 2) (pow PI 6)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))
1539795937.971 * [misc]backup-simplify:  Simplify (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))
1539795937.972 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.974 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))
1539795937.979 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k))))))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1539795937.979 * [misc]backup-simplify:  Simplify (/ (/ (pow (* PI (* (/ 1 (- n)) 2)) 1/2) (pow (* PI (* (/ 1 (- n)) 2)) (/ (/ 1 (- k)) 2))) (sqrt (/ 1 (- k)))) into (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))))
1539795937.979 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in (n k) around 0
1539795937.979 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1539795937.979 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539795937.980 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539795937.980 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539795937.980 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.980 * [misc]backup-simplify:  Simplify PI into PI
1539795937.980 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795937.980 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.980 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.980 * [misc]backup-simplify:  Simplify n into n
1539795937.980 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795937.980 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539795937.981 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539795937.981 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539795937.981 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539795937.981 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539795937.981 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1539795937.981 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795937.982 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795937.982 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.982 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.982 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.982 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1539795937.982 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795937.982 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.982 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795937.982 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.982 * [misc]backup-simplify:  Simplify PI into PI
1539795937.982 * [misc]taylor:  Taking taylor expansion of n in k
1539795937.982 * [misc]backup-simplify:  Simplify n into n
1539795937.982 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795937.982 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539795937.982 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539795937.982 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1539795937.983 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1539795937.983 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795937.983 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795937.983 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795937.983 * [misc]backup-simplify:  Simplify -1 into -1
1539795937.983 * [misc]taylor:  Taking taylor expansion of k in k
1539795937.983 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.983 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.983 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795937.983 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.984 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795937.984 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1539795937.984 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1539795937.984 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) (- (* +nan.0 (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))) into (* +nan.0 (/ (sqrt (* -2 (/ PI n))) (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))))
1539795937.984 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1539795937.985 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539795937.985 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539795937.985 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539795937.985 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.985 * [misc]backup-simplify:  Simplify PI into PI
1539795937.985 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.985 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.985 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.985 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.985 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.985 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795937.985 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539795937.986 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.986 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795937.986 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1539795937.986 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1539795937.986 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1539795937.986 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1539795937.986 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1539795937.987 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539795937.987 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795937.987 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.987 * [misc]backup-simplify:  Simplify k into k
1539795937.987 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1539795937.987 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795937.987 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.987 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.987 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.987 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.987 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.987 * [misc]backup-simplify:  Simplify PI into PI
1539795937.987 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.987 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.987 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.987 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.987 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.988 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795937.988 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795937.989 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539795937.990 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795937.990 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795937.990 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795937.990 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795937.990 * [misc]backup-simplify:  Simplify -1 into -1
1539795937.990 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.990 * [misc]backup-simplify:  Simplify k into k
1539795937.990 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795937.990 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795937.990 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795937.990 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795937.991 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539795937.992 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))
1539795937.992 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1539795937.992 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539795937.992 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539795937.992 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539795937.992 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.992 * [misc]backup-simplify:  Simplify PI into PI
1539795937.992 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.992 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.992 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.992 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.992 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.992 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539795937.993 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539795937.993 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795937.994 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795937.994 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539795937.994 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795937.994 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.994 * [misc]backup-simplify:  Simplify k into k
1539795937.994 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1539795937.994 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795937.994 * [misc]backup-simplify:  Simplify -2 into -2
1539795937.994 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795937.994 * [misc]taylor:  Taking taylor expansion of PI in n
1539795937.994 * [misc]backup-simplify:  Simplify PI into PI
1539795937.994 * [misc]taylor:  Taking taylor expansion of n in n
1539795937.994 * [misc]backup-simplify:  Simplify 0 into 0
1539795937.994 * [misc]backup-simplify:  Simplify 1 into 1
1539795937.994 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795937.995 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795937.995 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795937.996 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795937.996 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539795937.997 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795937.997 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795937.997 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795937.997 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795937.997 * [misc]backup-simplify:  Simplify -1 into -1
1539795937.997 * [misc]taylor:  Taking taylor expansion of k in n
1539795937.997 * [misc]backup-simplify:  Simplify k into k
1539795937.997 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795937.997 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795937.997 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795937.997 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795937.998 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) into (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))
1539795937.999 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))
1539795937.999 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795937.999 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795937.999 * [misc]taylor:  Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of PI in k
1539795937.999 * [misc]backup-simplify:  Simplify PI into PI
1539795937.999 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795937.999 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795937.999 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539795937.999 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795938.000 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795938.000 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795938.000 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795938.000 * [misc]backup-simplify:  Simplify -2 into -2
1539795938.000 * [misc]taylor:  Taking taylor expansion of PI in k
1539795938.000 * [misc]backup-simplify:  Simplify PI into PI
1539795938.000 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795938.000 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795938.000 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795938.000 * [misc]taylor:  Taking taylor expansion of n in k
1539795938.000 * [misc]backup-simplify:  Simplify n into n
1539795938.001 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795938.001 * [misc]taylor:  Taking taylor expansion of k in k
1539795938.001 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.001 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.001 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795938.001 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795938.002 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539795938.002 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1539795938.003 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795938.003 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795938.003 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795938.003 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795938.003 * [misc]backup-simplify:  Simplify -1 into -1
1539795938.003 * [misc]taylor:  Taking taylor expansion of k in k
1539795938.003 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.003 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.003 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795938.003 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795938.004 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795938.004 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539795938.005 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.006 * [misc]backup-simplify:  Simplify (/ PI (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.006 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.007 * [misc]backup-simplify:  Simplify (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.008 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539795938.009 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
1539795938.011 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539795938.012 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795938.012 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795938.015 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795938.015 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
1539795938.016 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.017 * [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795938.018 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795938.019 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0
1539795938.021 * [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (pow PI 2)) (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (+ (* (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) (/ 0 (* (sqrt (/ -1 k)) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))) into (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))))
1539795938.022 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))))) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795938.022 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795938.022 * [misc]taylor:  Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of PI in k
1539795938.022 * [misc]backup-simplify:  Simplify PI into PI
1539795938.022 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539795938.022 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539795938.022 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539795938.022 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795938.022 * [misc]backup-simplify:  Simplify -2 into -2
1539795938.022 * [misc]taylor:  Taking taylor expansion of PI in k
1539795938.022 * [misc]backup-simplify:  Simplify PI into PI
1539795938.022 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795938.023 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795938.023 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539795938.023 * [misc]taylor:  Taking taylor expansion of n in k
1539795938.023 * [misc]backup-simplify:  Simplify n into n
1539795938.023 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539795938.023 * [misc]taylor:  Taking taylor expansion of k in k
1539795938.023 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.023 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.023 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539795938.024 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539795938.024 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539795938.025 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1539795938.025 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539795938.025 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795938.025 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795938.025 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795938.025 * [misc]backup-simplify:  Simplify -1 into -1
1539795938.025 * [misc]taylor:  Taking taylor expansion of k in k
1539795938.025 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.026 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.026 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795938.026 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795938.026 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795938.027 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795938.027 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539795938.028 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.029 * [misc]backup-simplify:  Simplify (/ (pow PI 2) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.030 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.031 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795938.032 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795938.032 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539795938.033 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795938.034 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))
1539795938.037 * [misc]backup-simplify:  Simplify (- (/ 0 (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (+ (* (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (- (* +nan.0 (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795938.038 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795938.039 * [misc]backup-simplify:  Simplify (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))))))
1539795938.042 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (/ (pow PI 2) (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (* +nan.0 (/ PI (exp (* -1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1539795938.042 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
1539795938.042 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2)
1539795938.042 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0
1539795938.042 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.042 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.042 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795938.042 * [misc]backup-simplify:  Simplify 2 into 2
1539795938.042 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795938.042 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.042 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.042 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.042 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.043 * [misc]backup-simplify:  Simplify PI into PI
1539795938.043 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795938.043 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795938.044 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795938.044 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795938.045 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795938.045 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.046 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795938.046 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795938.047 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.047 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.047 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795938.047 * [misc]backup-simplify:  Simplify 2 into 2
1539795938.047 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795938.047 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.047 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.047 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.047 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.047 * [misc]backup-simplify:  Simplify PI into PI
1539795938.047 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795938.047 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795938.048 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795938.049 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795938.049 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795938.050 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.050 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539795938.051 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795938.051 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795938.052 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795938.054 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795938.056 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795938.057 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.058 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539795938.059 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795938.059 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.061 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795938.062 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795938.065 * [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
1539795938.066 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.067 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539795938.068 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.068 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.069 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795938.070 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795938.075 * [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
1539795938.075 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.076 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539795938.078 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795938.078 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.080 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795938.082 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795938.089 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795938.090 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.090 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
1539795938.095 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.096 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.099 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795938.103 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795938.123 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795938.124 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.125 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
1539795938.134 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795938.134 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.138 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795938.142 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795938.173 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795938.174 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539795938.175 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))))) into 0
1539795938.188 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.188 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.189 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795938.189 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2)
1539795938.189 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0
1539795938.189 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539795938.189 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539795938.189 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539795938.189 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.189 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.190 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795938.190 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795938.190 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795938.190 * [misc]backup-simplify:  Simplify 2 into 2
1539795938.190 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795938.190 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.190 * [misc]backup-simplify:  Simplify PI into PI
1539795938.190 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.190 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.190 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.190 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795938.190 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795938.191 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795938.191 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.192 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795938.193 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795938.193 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.193 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.193 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795938.193 * [misc]backup-simplify:  Simplify 2 into 2
1539795938.193 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795938.193 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.193 * [misc]backup-simplify:  Simplify PI into PI
1539795938.193 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.193 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.193 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.193 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795938.194 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795938.194 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539795938.195 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.195 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539795938.196 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795938.197 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539795938.198 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795938.198 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795938.201 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539795938.201 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.202 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539795938.204 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795938.204 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.205 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.206 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795938.211 * [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
1539795938.212 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.213 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539795938.215 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.215 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.217 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.218 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795938.226 * [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
1539795938.227 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.228 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539795938.233 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539795938.233 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.235 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.237 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795938.250 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 1)))) 24) into 0
1539795938.251 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.252 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539795938.257 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.257 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.260 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.262 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795938.282 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* 2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* 2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 1)))) 120) into 0
1539795938.282 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.284 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539795938.292 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795938.292 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.295 * [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
1539795938.298 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795938.320 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* 2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* 2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* 2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* 2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* 2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* 2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* 2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* 2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* 2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* 2 PI) 1)))) 720) into 0
1539795938.321 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539795938.322 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))))) into 0
1539795938.329 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.329 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.330 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539795938.330 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2)
1539795938.330 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0
1539795938.330 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.330 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.330 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795938.330 * [misc]backup-simplify:  Simplify -2 into -2
1539795938.330 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795938.330 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.330 * [misc]backup-simplify:  Simplify PI into PI
1539795938.330 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.330 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.330 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.330 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795938.331 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795938.331 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795938.331 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.332 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795938.332 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795938.332 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539795938.332 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539795938.332 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795938.332 * [misc]backup-simplify:  Simplify -2 into -2
1539795938.332 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795938.332 * [misc]taylor:  Taking taylor expansion of PI in n
1539795938.332 * [misc]backup-simplify:  Simplify PI into PI
1539795938.332 * [misc]taylor:  Taking taylor expansion of n in n
1539795938.332 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.332 * [misc]backup-simplify:  Simplify 1 into 1
1539795938.332 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795938.333 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795938.333 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539795938.333 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.334 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539795938.334 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795938.334 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539795938.335 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795938.335 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795938.337 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539795938.337 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.338 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539795938.339 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539795938.339 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.340 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.341 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795938.345 * [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
1539795938.346 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.347 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539795938.349 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.349 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.351 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.352 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795938.361 * [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
1539795938.362 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.363 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539795938.366 * [misc]backup-simplify:  Simplify (* (exp (* 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
1539795938.366 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.368 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.370 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795938.384 * [misc]backup-simplify:  Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* -2 PI) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* -2 PI) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* -2 PI) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 1)))) 24) into 0
1539795938.384 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.386 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
1539795938.391 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.391 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.394 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795938.396 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795938.415 * [misc]backup-simplify:  Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* -2 PI) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* -2 PI) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 1)))) 120) into 0
1539795938.416 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.417 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
1539795938.426 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
1539795938.426 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.428 * [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
1539795938.432 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795938.462 * [misc]backup-simplify:  Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* -2 PI) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* -2 PI) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* -2 PI) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* -2 PI) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* -2 PI) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* -2 PI) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* -2 PI) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* -2 PI) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* -2 PI) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* -2 PI) 1)))) 720) into 0
1539795938.463 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539795938.464 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))))) into 0
1539795938.478 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539795938.478 * [misc]backup-simplify:  Simplify 0 into 0
1539795938.479 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539795938.479 * * * [misc]progress:  simplifying candidates
1539795938.479 * * * * [misc]progress:  [ 1 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (log1p (expm1 (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 2 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (expm1 (log1p (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 3 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 4 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 5 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 6 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.479 * * * * [misc]progress:  [ 7 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 8 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 9 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 10 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 11 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 12 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (log1p (expm1 (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 13 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (expm1 (log1p (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 14 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 15 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 16 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 17 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* (cbrt (* PI (* n 2))) (cbrt (* PI (* n 2)))) (cbrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 18 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 19 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 20 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 21 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.480 * * * * [misc]progress:  [ 22 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795938.481 * * * * [misc]progress:  [ 23 / 156 ] simplifiying candidate #<alt (λ (k n) (log1p (expm1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795938.481 * * * * [misc]progress:  [ 24 / 156 ] simplifiying candidate #<alt (λ (k n) (expm1 (log1p (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795938.481 * * * * [misc]progress:  [ 25 / 156 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1))>
1539795938.481 * * * * [misc]progress:  [ 26 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795938.481 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795938.481 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795938.486 * * [misc]simplify:  iters left: 5 (35 enodes)
1539795938.499 * * [misc]simplify:  iters left: 4 (88 enodes)
1539795938.540 * * [misc]simplify:  iters left: 3 (246 enodes)
1539795938.653 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795938.653 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795938.653 * * * * [misc]progress:  [ 27 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795938.653 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795938.653 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795938.658 * * [misc]simplify:  iters left: 5 (35 enodes)
1539795938.669 * * [misc]simplify:  iters left: 4 (88 enodes)
1539795938.690 * * [misc]simplify:  iters left: 3 (246 enodes)
1539795938.789 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795938.789 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795938.789 * * * * [misc]progress:  [ 28 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539795938.789 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539795938.789 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795938.792 * * [misc]simplify:  iters left: 5 (32 enodes)
1539795938.797 * * [misc]simplify:  iters left: 4 (78 enodes)
1539795938.817 * * [misc]simplify:  iters left: 3 (231 enodes)
1539795938.917 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795938.917 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795938.917 * * * * [misc]progress:  [ 29 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795938.917 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795938.918 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795938.921 * * [misc]simplify:  iters left: 5 (35 enodes)
1539795938.927 * * [misc]simplify:  iters left: 4 (88 enodes)
1539795938.947 * * [misc]simplify:  iters left: 3 (246 enodes)
1539795939.044 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795939.044 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795939.044 * * * * [misc]progress:  [ 30 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795939.044 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795939.045 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795939.047 * * [misc]simplify:  iters left: 5 (35 enodes)
1539795939.053 * * [misc]simplify:  iters left: 4 (88 enodes)
1539795939.076 * * [misc]simplify:  iters left: 3 (246 enodes)
1539795939.178 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795939.178 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795939.178 * * * * [misc]progress:  [ 31 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539795939.179 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539795939.179 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795939.184 * * [misc]simplify:  iters left: 5 (32 enodes)
1539795939.195 * * [misc]simplify:  iters left: 4 (78 enodes)
1539795939.212 * * [misc]simplify:  iters left: 3 (231 enodes)
1539795939.305 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795939.305 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795939.305 * * * * [misc]progress:  [ 32 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795939.305 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795939.305 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795939.308 * * [misc]simplify:  iters left: 5 (34 enodes)
1539795939.314 * * [misc]simplify:  iters left: 4 (86 enodes)
1539795939.333 * * [misc]simplify:  iters left: 3 (240 enodes)
1539795939.420 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795939.420 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795939.420 * * * * [misc]progress:  [ 33 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539795939.420 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539795939.420 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795939.422 * * [misc]simplify:  iters left: 5 (34 enodes)
1539795939.428 * * [misc]simplify:  iters left: 4 (86 enodes)
1539795939.459 * * [misc]simplify:  iters left: 3 (240 enodes)
1539795939.537 * [exit]simplify:  Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))
1539795939.537 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k))))))
1539795939.538 * * * * [misc]progress:  [ 34 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539795939.538 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539795939.538 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795939.543 * * [misc]simplify:  iters left: 5 (30 enodes)
1539795939.548 * * [misc]simplify:  iters left: 4 (66 enodes)
1539795939.561 * * [misc]simplify:  iters left: 3 (184 enodes)
1539795939.684 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795939.685 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795939.685 * * * * [misc]progress:  [ 35 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539795939.685 * [enter]simplify:  Simplifying (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539795939.685 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795939.690 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795939.697 * * [misc]simplify:  iters left: 4 (41 enodes)
1539795939.707 * * [misc]simplify:  iters left: 3 (85 enodes)
1539795939.726 * * [misc]simplify:  iters left: 2 (249 enodes)
1539795939.885 * [exit]simplify:  Simplified to (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))
1539795939.885 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (fma (log (* (* 2 n) PI)) (- 1/2 (/ k 2)) (- (log (sqrt k))))))
1539795939.885 * * * * [misc]progress:  [ 36 / 156 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795939.885 * * * * [misc]progress:  [ 37 / 156 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795939.885 * * * * [misc]progress:  [ 38 / 156 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539795939.885 * [enter]simplify:  Simplifying (/ (/ (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2)) (* (* (pow (* PI (* n 2)) (/ k 2)) (pow (* PI (* n 2)) (/ k 2))) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539795939.885 * * [misc]simplify:  iters left: 6 (19 enodes)
1539795939.890 * * [misc]simplify:  iters left: 5 (38 enodes)
1539795939.907 * * [misc]simplify:  iters left: 4 (109 enodes)
1539795939.950 * * [misc]simplify:  iters left: 3 (485 enodes)
1539795940.965 * [exit]simplify:  Simplified to (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3))
1539795940.965 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3))))
1539795940.965 * * * * [misc]progress:  [ 39 / 156 ] simplifiying candidate #<alt (λ (k n) (cbrt (/ (* (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))))>
1539795940.966 * [enter]simplify:  Simplifying (/ (* (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539795940.966 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795940.972 * * [misc]simplify:  iters left: 5 (37 enodes)
1539795940.982 * * [misc]simplify:  iters left: 4 (95 enodes)
1539795941.001 * * [misc]simplify:  iters left: 3 (262 enodes)
1539795941.206 * [exit]simplify:  Simplified to (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k))
1539795941.206 * [misc]simplify:  Simplified (2 1) to (λ (k n) (cbrt (* (/ (/ (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ k 2))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))) k))))
1539795941.206 * * * * [misc]progress:  [ 40 / 156 ] simplifiying candidate #<alt (λ (k n) (* (* (cbrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (cbrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))) (cbrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795941.206 * * * * [misc]progress:  [ 41 / 156 ] simplifiying candidate #<alt (λ (k n) (cbrt (* (* (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795941.206 * * * * [misc]progress:  [ 42 / 156 ] simplifiying candidate #<alt (λ (k n) (* (sqrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))) (sqrt (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539795941.206 * * * * [misc]progress:  [ 43 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (- (sqrt k))))>
1539795941.206 * * * * [misc]progress:  [ 44 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795941.206 * [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.207 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795941.212 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795941.221 * * [misc]simplify:  iters left: 4 (43 enodes)
1539795941.232 * * [misc]simplify:  iters left: 3 (48 enodes)
1539795941.244 * * [misc]simplify:  iters left: 2 (51 enodes)
1539795941.258 * [exit]simplify:  Simplified to (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))))
1539795941.258 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.258 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795941.258 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.260 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.263 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795941.267 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.270 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))
1539795941.270 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.270 * * * * [misc]progress:  [ 45 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795941.270 * [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539795941.271 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795941.273 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795941.276 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.280 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.285 * [exit]simplify:  Simplified to (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k)))
1539795941.285 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.285 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.285 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.287 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.290 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795941.295 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.302 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539795941.302 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.302 * * * * [misc]progress:  [ 46 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795941.302 * [enter]simplify:  Simplifying (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) 1)
1539795941.303 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.307 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795941.315 * * [misc]simplify:  iters left: 4 (36 enodes)
1539795941.322 * * [misc]simplify:  iters left: 3 (52 enodes)
1539795941.328 * * [misc]simplify:  iters left: 2 (78 enodes)
1539795941.339 * [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))))
1539795941.339 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795941.339 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795941.339 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.341 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795941.344 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795941.347 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795941.350 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))
1539795941.350 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))))
1539795941.350 * * * * [misc]progress:  [ 47 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795941.350 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.350 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795941.354 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795941.361 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795941.369 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795941.377 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.377 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.377 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795941.378 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.381 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.383 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795941.387 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.390 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))
1539795941.391 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.391 * * * * [misc]progress:  [ 48 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795941.391 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.391 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.393 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.396 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795941.399 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.402 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539795941.402 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.403 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.403 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.405 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.408 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795941.411 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.414 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539795941.414 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.414 * * * * [misc]progress:  [ 49 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795941.415 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1)
1539795941.415 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.417 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795941.420 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795941.424 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795941.427 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1539795941.428 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795941.428 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795941.428 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.430 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795941.433 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795941.436 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795941.443 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))
1539795941.443 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))))
1539795941.443 * * * * [misc]progress:  [ 50 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))>
1539795941.443 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.443 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795941.447 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795941.452 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795941.458 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795941.465 * * [misc]simplify:  iters left: 2 (29 enodes)
1539795941.472 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.472 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))
1539795941.472 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539795941.472 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795941.476 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795941.480 * * [misc]simplify:  iters left: 4 (19 enodes)
1539795941.486 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539795941.486 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))
1539795941.486 * * * * [misc]progress:  [ 51 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))>
1539795941.486 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539795941.487 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795941.490 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795941.494 * * [misc]simplify:  iters left: 4 (17 enodes)
1539795941.498 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2)))
1539795941.498 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))
1539795941.499 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539795941.499 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795941.502 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795941.505 * * [misc]simplify:  iters left: 4 (19 enodes)
1539795941.507 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539795941.507 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))
1539795941.507 * * * * [misc]progress:  [ 52 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))))>
1539795941.508 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1)
1539795941.508 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795941.509 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795941.511 * * [misc]simplify:  iters left: 4 (18 enodes)
1539795941.514 * * [misc]simplify:  iters left: 3 (21 enodes)
1539795941.516 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow PI (/ k 2)))
1539795941.516 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))))
1539795941.516 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))
1539795941.516 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795941.518 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795941.519 * * [misc]simplify:  iters left: 4 (18 enodes)
1539795941.522 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539795941.522 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (pow PI (/ k 2))) (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k))))
1539795941.522 * * * * [misc]progress:  [ 53 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795941.522 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.522 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795941.525 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795941.530 * * [misc]simplify:  iters left: 4 (44 enodes)
1539795941.536 * * [misc]simplify:  iters left: 3 (59 enodes)
1539795941.549 * * [misc]simplify:  iters left: 2 (71 enodes)
1539795941.557 * * [misc]simplify:  iters left: 1 (74 enodes)
1539795941.565 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
1539795941.565 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.565 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795941.565 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.568 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795941.570 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.574 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.578 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
1539795941.578 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
1539795941.578 * * * * [misc]progress:  [ 54 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795941.579 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539795941.579 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795941.584 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795941.591 * * [misc]simplify:  iters left: 4 (36 enodes)
1539795941.600 * * [misc]simplify:  iters left: 3 (41 enodes)
1539795941.610 * * [misc]simplify:  iters left: 2 (47 enodes)
1539795941.622 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))))
1539795941.622 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.622 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.622 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.627 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795941.634 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.641 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.645 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
1539795941.645 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))))
1539795941.645 * * * * [misc]progress:  [ 55 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795941.645 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539795941.645 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.647 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795941.651 * * [misc]simplify:  iters left: 4 (37 enodes)
1539795941.656 * * [misc]simplify:  iters left: 3 (43 enodes)
1539795941.660 * * [misc]simplify:  iters left: 2 (46 enodes)
1539795941.665 * [exit]simplify:  Simplified to (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
1539795941.665 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795941.665 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795941.665 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.667 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795941.670 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795941.674 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795941.680 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1539795941.680 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2))))) (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))))
1539795941.680 * * * * [misc]progress:  [ 56 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795941.681 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.681 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795941.686 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795941.693 * * [misc]simplify:  iters left: 4 (37 enodes)
1539795941.703 * * [misc]simplify:  iters left: 3 (44 enodes)
1539795941.714 * * [misc]simplify:  iters left: 2 (45 enodes)
1539795941.724 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1539795941.724 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795941.724 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795941.725 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.729 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795941.736 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.745 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.753 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
1539795941.753 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
1539795941.753 * * * * [misc]progress:  [ 57 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795941.754 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.754 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.758 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795941.765 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.773 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.781 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1539795941.781 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795941.781 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795941.782 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795941.787 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795941.793 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795941.801 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795941.809 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
1539795941.809 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
1539795941.809 * * * * [misc]progress:  [ 58 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795941.810 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539795941.810 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.814 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795941.820 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795941.829 * * [misc]simplify:  iters left: 3 (37 enodes)
1539795941.837 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1539795941.837 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795941.838 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795941.838 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.842 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795941.848 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795941.856 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795941.864 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1539795941.864 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))))
1539795941.864 * * * * [misc]progress:  [ 59 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795941.864 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.864 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795941.867 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795941.873 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795941.879 * * [misc]simplify:  iters left: 3 (34 enodes)
1539795941.888 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
1539795941.888 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795941.888 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795941.888 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.892 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795941.898 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795941.906 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795941.914 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1539795941.914 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))
1539795941.914 * * * * [misc]progress:  [ 60 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795941.914 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k)))
1539795941.914 * * [misc]simplify:  iters left: 5 (9 enodes)
1539795941.917 * * [misc]simplify:  iters left: 4 (14 enodes)
1539795941.921 * * [misc]simplify:  iters left: 3 (19 enodes)
1539795941.924 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (sqrt k)))
1539795941.925 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795941.925 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795941.925 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795941.929 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795941.934 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795941.942 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795941.947 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1539795941.947 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))))
1539795941.947 * * * * [misc]progress:  [ 61 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (pow PI 1/2) 1) 1) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795941.947 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) 1)
1539795941.947 * * [misc]simplify:  iters left: 5 (6 enodes)
1539795941.948 * * [misc]simplify:  iters left: 4 (11 enodes)
1539795941.949 * [exit]simplify:  Simplified to (sqrt PI)
1539795941.949 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795941.949 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795941.949 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795941.951 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795941.954 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795941.958 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795941.961 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))
1539795941.961 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))
1539795941.962 * * * * [misc]progress:  [ 62 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))>
1539795941.962 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795941.962 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795941.964 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795941.968 * * [misc]simplify:  iters left: 4 (48 enodes)
1539795941.975 * * [misc]simplify:  iters left: 3 (84 enodes)
1539795941.998 * * [misc]simplify:  iters left: 2 (123 enodes)
1539795942.034 * * [misc]simplify:  iters left: 1 (141 enodes)
1539795942.068 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
1539795942.068 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))
1539795942.068 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539795942.068 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795942.070 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795942.073 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795942.077 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795942.081 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539795942.081 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))))
1539795942.081 * * * * [misc]progress:  [ 63 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))>
1539795942.081 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539795942.081 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795942.084 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795942.087 * * [misc]simplify:  iters left: 4 (40 enodes)
1539795942.100 * * [misc]simplify:  iters left: 3 (55 enodes)
1539795942.114 * * [misc]simplify:  iters left: 2 (63 enodes)
1539795942.126 * * [misc]simplify:  iters left: 1 (66 enodes)
1539795942.134 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
1539795942.134 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))
1539795942.134 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539795942.134 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795942.136 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795942.139 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795942.143 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795942.147 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539795942.147 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))))
1539795942.147 * * * * [misc]progress:  [ 64 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))))>
1539795942.148 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1)
1539795942.148 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795942.150 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795942.153 * * [misc]simplify:  iters left: 4 (40 enodes)
1539795942.164 * * [misc]simplify:  iters left: 3 (65 enodes)
1539795942.177 * * [misc]simplify:  iters left: 2 (146 enodes)
1539795942.210 * * [misc]simplify:  iters left: 1 (150 enodes)
1539795942.218 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))
1539795942.218 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))))
1539795942.218 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539795942.218 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795942.220 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795942.223 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795942.227 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795942.231 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539795942.231 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))))
1539795942.231 * * * * [misc]progress:  [ 65 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795942.231 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795942.231 * * [misc]simplify:  iters left: 6 (19 enodes)
1539795942.234 * * [misc]simplify:  iters left: 5 (34 enodes)
1539795942.239 * * [misc]simplify:  iters left: 4 (71 enodes)
1539795942.258 * * [misc]simplify:  iters left: 3 (140 enodes)
1539795942.314 * * [misc]simplify:  iters left: 2 (249 enodes)
1539795942.426 * * [misc]simplify:  iters left: 1 (308 enodes)
1539795942.549 * [exit]simplify:  Simplified to (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))
1539795942.549 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795942.549 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795942.550 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795942.554 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795942.561 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795942.569 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795942.578 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795942.578 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795942.578 * * * * [misc]progress:  [ 66 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795942.579 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539795942.579 * * [misc]simplify:  iters left: 6 (18 enodes)
1539795942.585 * * [misc]simplify:  iters left: 5 (31 enodes)
1539795942.594 * * [misc]simplify:  iters left: 4 (57 enodes)
1539795942.612 * * [misc]simplify:  iters left: 3 (89 enodes)
1539795942.640 * * [misc]simplify:  iters left: 2 (122 enodes)
1539795942.674 * * [misc]simplify:  iters left: 1 (139 enodes)
1539795942.700 * [exit]simplify:  Simplified to (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k)))
1539795942.700 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795942.700 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795942.700 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795942.703 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795942.706 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795942.710 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795942.714 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795942.714 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795942.714 * * * * [misc]progress:  [ 67 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795942.714 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539795942.714 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795942.719 * * [misc]simplify:  iters left: 5 (32 enodes)
1539795942.730 * * [misc]simplify:  iters left: 4 (57 enodes)
1539795942.748 * * [misc]simplify:  iters left: 3 (96 enodes)
1539795942.777 * * [misc]simplify:  iters left: 2 (280 enodes)
1539795942.915 * * [misc]simplify:  iters left: 1 (343 enodes)
1539795942.938 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))))
1539795942.938 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795942.938 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795942.939 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795942.941 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795942.944 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795942.948 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795942.952 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539795942.952 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))))
1539795942.952 * * * * [misc]progress:  [ 68 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795942.952 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795942.952 * * [misc]simplify:  iters left: 6 (18 enodes)
1539795942.955 * * [misc]simplify:  iters left: 5 (29 enodes)
1539795942.959 * * [misc]simplify:  iters left: 4 (49 enodes)
1539795942.970 * * [misc]simplify:  iters left: 3 (85 enodes)
1539795942.994 * * [misc]simplify:  iters left: 2 (123 enodes)
1539795943.027 * * [misc]simplify:  iters left: 1 (142 enodes)
1539795943.048 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
1539795943.048 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795943.048 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795943.048 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.051 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795943.054 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795943.058 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795943.062 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795943.062 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795943.062 * * * * [misc]progress:  [ 69 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795943.063 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795943.063 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795943.065 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795943.071 * * [misc]simplify:  iters left: 4 (41 enodes)
1539795943.082 * * [misc]simplify:  iters left: 3 (55 enodes)
1539795943.096 * * [misc]simplify:  iters left: 2 (63 enodes)
1539795943.110 * * [misc]simplify:  iters left: 1 (66 enodes)
1539795943.128 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))
1539795943.128 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795943.129 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795943.129 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.134 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795943.140 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795943.148 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795943.157 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795943.157 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795943.157 * * * * [misc]progress:  [ 70 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795943.157 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539795943.158 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.163 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795943.171 * * [misc]simplify:  iters left: 4 (41 enodes)
1539795943.184 * * [misc]simplify:  iters left: 3 (66 enodes)
1539795943.199 * * [misc]simplify:  iters left: 2 (146 enodes)
1539795943.225 * * [misc]simplify:  iters left: 1 (150 enodes)
1539795943.238 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))
1539795943.238 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795943.238 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795943.239 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.243 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.249 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.257 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.261 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539795943.261 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))))
1539795943.261 * * * * [misc]progress:  [ 71 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795943.261 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795943.261 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.264 * * [misc]simplify:  iters left: 5 (29 enodes)
1539795943.268 * * [misc]simplify:  iters left: 4 (57 enodes)
1539795943.279 * * [misc]simplify:  iters left: 3 (124 enodes)
1539795943.310 * * [misc]simplify:  iters left: 2 (335 enodes)
1539795943.449 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))))
1539795943.449 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795943.449 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795943.450 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.457 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.463 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.471 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.479 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))
1539795943.479 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))))
1539795943.479 * * * * [misc]progress:  [ 72 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795943.480 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (sqrt (sqrt k)))
1539795943.480 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.482 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795943.486 * * [misc]simplify:  iters left: 4 (45 enodes)
1539795943.493 * * [misc]simplify:  iters left: 3 (89 enodes)
1539795943.510 * * [misc]simplify:  iters left: 2 (196 enodes)
1539795943.553 * * [misc]simplify:  iters left: 1 (301 enodes)
1539795943.607 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k)))
1539795943.607 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795943.607 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795943.607 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.610 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.614 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.617 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.621 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))
1539795943.621 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))))
1539795943.621 * * * * [misc]progress:  [ 73 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795943.622 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1)
1539795943.622 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795943.623 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795943.626 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795943.630 * * [misc]simplify:  iters left: 3 (43 enodes)
1539795943.635 * * [misc]simplify:  iters left: 2 (72 enodes)
1539795943.645 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539795943.645 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795943.645 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795943.645 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795943.647 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795943.652 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795943.661 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.669 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539795943.669 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539795943.669 * * * * [misc]progress:  [ 74 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))>
1539795943.669 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795943.669 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.674 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795943.681 * * [misc]simplify:  iters left: 4 (37 enodes)
1539795943.691 * * [misc]simplify:  iters left: 3 (44 enodes)
1539795943.701 * * [misc]simplify:  iters left: 2 (45 enodes)
1539795943.712 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k))))
1539795943.712 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))
1539795943.712 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539795943.712 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.717 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.724 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.732 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.740 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539795943.740 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))))
1539795943.740 * * * * [misc]progress:  [ 75 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))>
1539795943.740 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539795943.741 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.745 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.751 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.759 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.767 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k))))
1539795943.768 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))
1539795943.768 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539795943.768 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.773 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.779 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.787 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.793 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539795943.793 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))))
1539795943.793 * * * * [misc]progress:  [ 76 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))))>
1539795943.793 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1)
1539795943.793 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795943.795 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795943.798 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795943.803 * * [misc]simplify:  iters left: 3 (37 enodes)
1539795943.806 * * [misc]simplify:  iters left: 2 (38 enodes)
1539795943.810 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))
1539795943.810 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))))
1539795943.810 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539795943.810 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795943.812 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795943.815 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795943.819 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.823 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539795943.823 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))))
1539795943.823 * * * * [misc]progress:  [ 77 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795943.823 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795943.823 * * [misc]simplify:  iters left: 6 (18 enodes)
1539795943.826 * * [misc]simplify:  iters left: 5 (29 enodes)
1539795943.831 * * [misc]simplify:  iters left: 4 (45 enodes)
1539795943.838 * * [misc]simplify:  iters left: 3 (60 enodes)
1539795943.853 * * [misc]simplify:  iters left: 2 (72 enodes)
1539795943.863 * * [misc]simplify:  iters left: 1 (75 enodes)
1539795943.871 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
1539795943.871 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795943.871 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795943.871 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.873 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795943.876 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795943.880 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795943.884 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795943.884 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795943.884 * * * * [misc]progress:  [ 78 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795943.885 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539795943.885 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795943.887 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795943.891 * * [misc]simplify:  iters left: 4 (37 enodes)
1539795943.895 * * [misc]simplify:  iters left: 3 (42 enodes)
1539795943.900 * * [misc]simplify:  iters left: 2 (48 enodes)
1539795943.906 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k))))
1539795943.906 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795943.907 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795943.907 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.910 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795943.913 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795943.918 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795943.926 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795943.926 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt (sqrt k)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795943.927 * * * * [misc]progress:  [ 79 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795943.927 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539795943.927 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795943.932 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795943.940 * * [misc]simplify:  iters left: 4 (38 enodes)
1539795943.950 * * [misc]simplify:  iters left: 3 (44 enodes)
1539795943.959 * * [misc]simplify:  iters left: 2 (49 enodes)
1539795943.968 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795943.968 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795943.969 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795943.969 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795943.971 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795943.974 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795943.978 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795943.982 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539795943.982 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))))
1539795943.982 * * * * [misc]progress:  [ 80 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795943.982 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795943.982 * * [misc]simplify:  iters left: 6 (17 enodes)
1539795943.984 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795943.988 * * [misc]simplify:  iters left: 4 (38 enodes)
1539795943.993 * * [misc]simplify:  iters left: 3 (44 enodes)
1539795943.998 * * [misc]simplify:  iters left: 2 (45 enodes)
1539795944.004 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2))))
1539795944.004 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795944.005 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795944.005 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795944.011 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795944.017 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795944.025 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795944.033 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.033 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.033 * * * * [misc]progress:  [ 81 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795944.033 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795944.033 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795944.035 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795944.038 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795944.042 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795944.046 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.046 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795944.046 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795944.047 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795944.049 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795944.052 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795944.056 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795944.060 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.060 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.060 * * * * [misc]progress:  [ 82 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795944.060 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539795944.060 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.063 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795944.066 * * [misc]simplify:  iters left: 4 (33 enodes)
1539795944.070 * * [misc]simplify:  iters left: 3 (39 enodes)
1539795944.074 * * [misc]simplify:  iters left: 2 (40 enodes)
1539795944.078 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.078 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795944.078 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795944.078 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.080 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.083 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.087 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.095 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539795944.095 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))))
1539795944.095 * * * * [misc]progress:  [ 83 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795944.096 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.096 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.100 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795944.104 * * [misc]simplify:  iters left: 4 (40 enodes)
1539795944.109 * * [misc]simplify:  iters left: 3 (50 enodes)
1539795944.115 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.115 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795944.115 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795944.115 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.117 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.120 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.124 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.128 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))
1539795944.128 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))))
1539795944.128 * * * * [misc]progress:  [ 84 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795944.128 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (sqrt (sqrt k)))
1539795944.128 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.130 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795944.136 * * [misc]simplify:  iters left: 4 (34 enodes)
1539795944.143 * * [misc]simplify:  iters left: 3 (35 enodes)
1539795944.149 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539795944.149 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795944.149 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795944.150 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.154 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.159 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.167 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.174 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))
1539795944.174 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))))
1539795944.174 * * * * [misc]progress:  [ 85 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795944.174 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1)
1539795944.174 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795944.177 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795944.181 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795944.186 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795944.192 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539795944.192 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795944.192 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795944.192 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.197 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.202 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.210 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.218 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539795944.219 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.219 * * * * [misc]progress:  [ 86 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))>
1539795944.219 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.219 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795944.222 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795944.227 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795944.233 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795944.239 * * [misc]simplify:  iters left: 2 (29 enodes)
1539795944.246 * [exit]simplify:  Simplified to (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.246 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))))
1539795944.247 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539795944.247 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.251 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.256 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.264 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.272 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539795944.272 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))))
1539795944.272 * * * * [misc]progress:  [ 87 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))>
1539795944.272 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k)))
1539795944.272 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795944.275 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795944.278 * * [misc]simplify:  iters left: 4 (17 enodes)
1539795944.282 * [exit]simplify:  Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k)))
1539795944.283 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))))
1539795944.283 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539795944.283 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.287 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.292 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.299 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.307 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539795944.307 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))))
1539795944.307 * * * * [misc]progress:  [ 88 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (pow PI (/ k 2))) 1) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))))>
1539795944.307 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) 1)
1539795944.307 * * [misc]simplify:  iters left: 6 (8 enodes)
1539795944.310 * * [misc]simplify:  iters left: 5 (12 enodes)
1539795944.314 * * [misc]simplify:  iters left: 4 (15 enodes)
1539795944.318 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795944.321 * [exit]simplify:  Simplified to (/ 1 (pow PI (/ k 2)))
1539795944.321 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))))
1539795944.321 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))
1539795944.322 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.326 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.331 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795944.340 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795944.347 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539795944.347 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (pow PI (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2))))))
1539795944.347 * * * * [misc]progress:  [ 89 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795944.348 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.348 * * [misc]simplify:  iters left: 6 (16 enodes)
1539795944.353 * * [misc]simplify:  iters left: 5 (28 enodes)
1539795944.360 * * [misc]simplify:  iters left: 4 (44 enodes)
1539795944.372 * * [misc]simplify:  iters left: 3 (59 enodes)
1539795944.386 * * [misc]simplify:  iters left: 2 (71 enodes)
1539795944.394 * * [misc]simplify:  iters left: 1 (74 enodes)
1539795944.401 * [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))))
1539795944.401 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795944.402 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795944.402 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.404 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.407 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.411 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.415 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.415 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.415 * * * * [misc]progress:  [ 90 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795944.415 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539795944.416 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.420 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795944.427 * * [misc]simplify:  iters left: 4 (36 enodes)
1539795944.434 * * [misc]simplify:  iters left: 3 (40 enodes)
1539795944.440 * * [misc]simplify:  iters left: 2 (46 enodes)
1539795944.445 * [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))
1539795944.445 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795944.445 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795944.445 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.448 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.450 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.454 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.458 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.458 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.458 * * * * [misc]progress:  [ 91 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795944.459 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539795944.459 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.461 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795944.465 * * [misc]simplify:  iters left: 4 (34 enodes)
1539795944.474 * * [misc]simplify:  iters left: 3 (39 enodes)
1539795944.481 * * [misc]simplify:  iters left: 2 (40 enodes)
1539795944.484 * [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2)))))
1539795944.484 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795944.485 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795944.485 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.487 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.490 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.493 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.497 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.497 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2))))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.497 * * * * [misc]progress:  [ 92 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))>
1539795944.497 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.498 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.500 * * [misc]simplify:  iters left: 5 (25 enodes)
1539795944.503 * * [misc]simplify:  iters left: 4 (37 enodes)
1539795944.508 * * [misc]simplify:  iters left: 3 (43 enodes)
1539795944.519 * * [misc]simplify:  iters left: 2 (44 enodes)
1539795944.530 * [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2))))
1539795944.530 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))))
1539795944.530 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539795944.531 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.535 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.541 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.549 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.557 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.557 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.557 * * * * [misc]progress:  [ 93 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))>
1539795944.558 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795944.558 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.562 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.568 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.576 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.584 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
1539795944.584 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))))
1539795944.584 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539795944.584 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795944.589 * * [misc]simplify:  iters left: 5 (22 enodes)
1539795944.595 * * [misc]simplify:  iters left: 4 (31 enodes)
1539795944.604 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.612 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.612 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.612 * * * * [misc]progress:  [ 94 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))>
1539795944.612 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539795944.612 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795944.616 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.622 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795944.630 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795944.636 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2))))
1539795944.636 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))))
1539795944.637 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539795944.637 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.641 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.647 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.655 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.663 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795944.663 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.663 * * * * [misc]progress:  [ 95 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795944.664 * [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.664 * * [misc]simplify:  iters left: 6 (7 enodes)
1539795944.666 * * [misc]simplify:  iters left: 5 (11 enodes)
1539795944.669 * [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.669 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795944.669 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795944.669 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.675 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.678 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.682 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.685 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539795944.685 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))))
1539795944.686 * * * * [misc]progress:  [ 96 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795944.686 * [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt k)))
1539795944.686 * * [misc]simplify:  iters left: 4 (6 enodes)
1539795944.687 * * [misc]simplify:  iters left: 3 (8 enodes)
1539795944.688 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539795944.688 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795944.688 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795944.688 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.690 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.693 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.696 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.701 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539795944.701 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))))
1539795944.702 * * * * [misc]progress:  [ 97 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795944.702 * [enter]simplify:  Simplifying (/ (/ 1 1) 1)
1539795944.702 * * [misc]simplify:  iters left: 4 (3 enodes)
1539795944.703 * * [misc]simplify:  iters left: 3 (5 enodes)
1539795944.704 * [exit]simplify:  Simplified to 1
1539795944.704 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795944.704 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795944.704 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.708 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.714 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795944.722 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795944.730 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539795944.730 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.730 * * * * [misc]progress:  [ 98 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795944.730 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.730 * * [misc]simplify:  iters left: 6 (6 enodes)
1539795944.732 * * [misc]simplify:  iters left: 5 (10 enodes)
1539795944.735 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539795944.735 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795944.735 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795944.735 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.739 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.742 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.746 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.750 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539795944.750 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))))
1539795944.750 * * * * [misc]progress:  [ 99 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795944.750 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539795944.750 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795944.751 * * [misc]simplify:  iters left: 3 (7 enodes)
1539795944.752 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539795944.752 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795944.752 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795944.752 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795944.754 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.757 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.760 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795944.765 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539795944.765 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))))
1539795944.765 * * * * [misc]progress:  [ 100 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795944.765 * [enter]simplify:  Simplifying (/ 1 1)
1539795944.765 * * [misc]simplify:  iters left: 2 (2 enodes)
1539795944.766 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795944.766 * [exit]simplify:  Simplified to 1
1539795944.766 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795944.766 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795944.766 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.768 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.771 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795944.778 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795944.786 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539795944.786 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539795944.786 * * * * [misc]progress:  [ 101 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))>
1539795944.786 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.787 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795944.790 * * [misc]simplify:  iters left: 5 (19 enodes)
1539795944.796 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795944.802 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795944.809 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795944.809 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))))
1539795944.809 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539795944.809 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.813 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.819 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.827 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795944.835 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
1539795944.835 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
1539795944.835 * * * * [misc]progress:  [ 102 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))>
1539795944.835 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539795944.836 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795944.839 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795944.843 * * [misc]simplify:  iters left: 4 (22 enodes)
1539795944.849 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795944.855 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539795944.855 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))))
1539795944.855 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539795944.855 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.859 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795944.865 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795944.873 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795944.880 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
1539795944.881 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))))
1539795944.881 * * * * [misc]progress:  [ 103 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795944.881 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539795944.881 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795944.884 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795944.889 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795944.894 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795944.900 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539795944.900 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539795944.900 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539795944.900 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795944.904 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.910 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795944.918 * * [misc]simplify:  iters left: 3 (30 enodes)
1539795944.925 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))
1539795944.925 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))
1539795944.925 * * * * [misc]progress:  [ 104 / 156 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539795944.925 * * * * [misc]progress:  [ 105 / 156 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ 1 (sqrt k))))>
1539795944.925 * * * * [misc]progress:  [ 106 / 156 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539795944.926 * * * * [misc]progress:  [ 107 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539795944.926 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539795944.926 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795944.927 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539795944.927 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))
1539795944.927 * * * * [misc]progress:  [ 108 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539795944.927 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539795944.927 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795944.928 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539795944.928 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539795944.928 * * * * [misc]progress:  [ 109 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))>
1539795944.928 * [enter]simplify:  Simplifying (sqrt k)
1539795944.928 * * [misc]simplify:  iters left: 1 (2 enodes)
1539795944.929 * [exit]simplify:  Simplified to (sqrt k)
1539795944.929 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))
1539795944.929 * * * * [misc]progress:  [ 110 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))))>
1539795944.929 * [enter]simplify:  Simplifying (* (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))
1539795944.929 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.933 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795944.939 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795944.945 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795944.952 * [exit]simplify:  Simplified to (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))))
1539795944.952 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))) (/ (sqrt k) (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))))
1539795944.952 * * * * [misc]progress:  [ 111 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))))>
1539795944.952 * [enter]simplify:  Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))
1539795944.952 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795944.956 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795944.960 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795944.967 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795944.973 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1539795944.973 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))))))
1539795944.973 * * * * [misc]progress:  [ 112 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))>
1539795944.973 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (pow PI (/ k 2)))
1539795944.973 * * [misc]simplify:  iters left: 5 (8 enodes)
1539795944.975 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795944.978 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow PI (/ k 2)))
1539795944.978 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))
1539795944.978 * * * * [misc]progress:  [ 113 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795944.978 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539795944.978 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795944.982 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795944.988 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795944.995 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795945.002 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1539795945.002 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.002 * * * * [misc]progress:  [ 114 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.003 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539795945.003 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795945.006 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795945.011 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795945.014 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795945.018 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
1539795945.018 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.018 * * * * [misc]progress:  [ 115 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow PI 1/2) 1) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.018 * [enter]simplify:  Simplifying (/ (pow PI 1/2) 1)
1539795945.018 * * [misc]simplify:  iters left: 3 (5 enodes)
1539795945.019 * * [misc]simplify:  iters left: 2 (8 enodes)
1539795945.020 * * [misc]simplify:  iters left: 1 (10 enodes)
1539795945.021 * [exit]simplify:  Simplified to (sqrt PI)
1539795945.021 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))))))
1539795945.021 * * * * [misc]progress:  [ 116 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))))))>
1539795945.022 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2)))
1539795945.022 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795945.024 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795945.027 * * [misc]simplify:  iters left: 4 (28 enodes)
1539795945.030 * * [misc]simplify:  iters left: 3 (31 enodes)
1539795945.035 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))
1539795945.035 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))))))
1539795945.035 * * * * [misc]progress:  [ 117 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.035 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539795945.035 * * [misc]simplify:  iters left: 6 (15 enodes)
1539795945.038 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795945.043 * * [misc]simplify:  iters left: 4 (41 enodes)
1539795945.054 * * [misc]simplify:  iters left: 3 (45 enodes)
1539795945.065 * * [misc]simplify:  iters left: 2 (48 enodes)
1539795945.075 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))))
1539795945.075 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (pow (* (* PI 2) n) (/ k 2))))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.075 * * * * [misc]progress:  [ 118 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.075 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539795945.075 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795945.077 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795945.080 * * [misc]simplify:  iters left: 4 (29 enodes)
1539795945.084 * * [misc]simplify:  iters left: 3 (32 enodes)
1539795945.088 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795945.088 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.088 * * * * [misc]progress:  [ 119 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.088 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)
1539795945.088 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795945.090 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795945.093 * * [misc]simplify:  iters left: 4 (32 enodes)
1539795945.097 * * [misc]simplify:  iters left: 3 (48 enodes)
1539795945.103 * * [misc]simplify:  iters left: 2 (74 enodes)
1539795945.121 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539795945.121 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))))))
1539795945.121 * * * * [misc]progress:  [ 120 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))))))>
1539795945.121 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2)))
1539795945.121 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795945.125 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795945.130 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795945.137 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795945.143 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))
1539795945.143 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))))))
1539795945.143 * * * * [misc]progress:  [ 121 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.144 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539795945.144 * * [misc]simplify:  iters left: 6 (14 enodes)
1539795945.148 * * [misc]simplify:  iters left: 5 (21 enodes)
1539795945.154 * * [misc]simplify:  iters left: 4 (27 enodes)
1539795945.162 * * [misc]simplify:  iters left: 3 (29 enodes)
1539795945.170 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539795945.170 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.170 * * * * [misc]progress:  [ 122 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.171 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539795945.171 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795945.175 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795945.180 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795945.186 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795945.193 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539795945.193 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2)))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.193 * * * * [misc]progress:  [ 123 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.193 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)
1539795945.193 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795945.196 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795945.201 * * [misc]simplify:  iters left: 4 (25 enodes)
1539795945.207 * * [misc]simplify:  iters left: 3 (26 enodes)
1539795945.213 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539795945.213 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))))))
1539795945.213 * * * * [misc]progress:  [ 124 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))))))>
1539795945.213 * [enter]simplify:  Simplifying (/ 1 (pow PI (/ k 2)))
1539795945.213 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795945.215 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795945.218 * [exit]simplify:  Simplified to (/ 1 (pow PI (/ k 2)))
1539795945.218 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ 1 (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))))))
1539795945.218 * * * * [misc]progress:  [ 125 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.218 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539795945.218 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795945.222 * * [misc]simplify:  iters left: 5 (20 enodes)
1539795945.225 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795945.229 * * [misc]simplify:  iters left: 3 (27 enodes)
1539795945.232 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
1539795945.232 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.232 * * * * [misc]progress:  [ 126 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))>
1539795945.232 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539795945.233 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795945.234 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795945.236 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795945.239 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795945.242 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2))))
1539795945.242 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2)))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))))))
1539795945.242 * * * * [misc]progress:  [ 127 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.243 * [enter]simplify:  Simplifying (/ 1 1)
1539795945.243 * * [misc]simplify:  iters left: 2 (2 enodes)
1539795945.243 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795945.243 * [exit]simplify:  Simplified to 1
1539795945.243 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))
1539795945.243 * * * * [misc]progress:  [ 128 / 156 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.243 * * * * [misc]progress:  [ 129 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2))))))>
1539795945.244 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795945.244 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795945.245 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795945.246 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795945.249 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795945.251 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795945.251 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2))))))
1539795945.251 * * * * [misc]progress:  [ 130 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539795945.251 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539795945.251 * * [misc]simplify:  iters left: 5 (7 enodes)
1539795945.252 * * [misc]simplify:  iters left: 4 (12 enodes)
1539795945.255 * * [misc]simplify:  iters left: 3 (18 enodes)
1539795945.259 * * [misc]simplify:  iters left: 2 (20 enodes)
1539795945.264 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539795945.264 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539795945.264 * * * * [misc]progress:  [ 131 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (log1p (expm1 (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.264 * * * * [misc]progress:  [ 132 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (expm1 (log1p (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.264 * * * * [misc]progress:  [ 133 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.264 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) 1/2)
1539795945.264 * * [misc]simplify:  iters left: 6 (8 enodes)
1539795945.265 * * [misc]simplify:  iters left: 5 (16 enodes)
1539795945.268 * * [misc]simplify:  iters left: 4 (33 enodes)
1539795945.273 * * [misc]simplify:  iters left: 3 (62 enodes)
1539795945.283 * * [misc]simplify:  iters left: 2 (93 enodes)
1539795945.297 * * [misc]simplify:  iters left: 1 (115 enodes)
1539795945.308 * [exit]simplify:  Simplified to (fma 1/2 (log (* 2 n)) (* 1/2 (log PI)))
1539795945.308 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (fma 1/2 (log (* 2 n)) (* 1/2 (log PI)))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.308 * * * * [misc]progress:  [ 134 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.308 * * * * [misc]progress:  [ 135 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (* 1 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.308 * [enter]simplify:  Simplifying (* PI (* n 2))
1539795945.308 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.309 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.310 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.312 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.314 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539795945.314 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* 2 n) PI) (* 1 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.314 * * * * [misc]progress:  [ 136 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow PI 1/2) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.314 * [enter]simplify:  Simplifying (pow PI 1/2)
1539795945.314 * * [misc]simplify:  iters left: 1 (3 enodes)
1539795945.315 * [exit]simplify:  Simplified to (sqrt PI)
1539795945.315 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (* (sqrt PI) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.315 * * * * [misc]progress:  [ 137 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 138 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1/2) 1) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 139 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (log (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 140 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (log (exp (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 141 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (cbrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 142 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (cbrt (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 143 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 144 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* 1 (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.315 * * * * [misc]progress:  [ 145 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539795945.315 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.315 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.316 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.317 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.319 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.321 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.321 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
1539795945.321 * * * * [misc]progress:  [ 146 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539795945.321 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.321 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.322 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.323 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.325 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.327 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.327 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
1539795945.327 * * * * [misc]progress:  [ 147 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539795945.327 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.327 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.330 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.333 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.337 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.341 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.341 * [misc]simplify:  Simplified (2 1 2 1) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))
1539795945.341 * * * * [misc]progress:  [ 148 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.341 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.341 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.343 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.346 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.348 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.350 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.350 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.350 * * * * [misc]progress:  [ 149 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.350 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.350 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.351 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.352 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.354 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.356 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.356 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.356 * * * * [misc]progress:  [ 150 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.356 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795945.356 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795945.357 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795945.358 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795945.361 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795945.362 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795945.363 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.363 * * * * [misc]progress:  [ 151 / 156 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n)))))))))))))))>
1539795945.363 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (log (* 2 PI)))))) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log n)))) k)) (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow n 2) (* (pow PI 2) (log (* 2 PI))))) k)) (- (* +nan.0 (* (sqrt 2) (* n (* PI (log n))))))))))))))
1539795945.363 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795945.363 * * * * [misc]progress:  [ 152 / 156 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2)))))))))))>
1539795945.363 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (pow n 2) (pow k 3))))) (- (+ (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) k))) (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* (exp (* 1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* n (pow k 2))))))))))
1539795945.363 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795945.363 * * * * [misc]progress:  [ 153 / 156 ] simplifiying candidate #<alt (λ (k n) (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k)))))))))))>
1539795945.363 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (pow PI 2) (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ PI (* (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ PI (exp (* 1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))))))))))
1539795945.363 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539795945.363 * * * * [misc]progress:  [ 154 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.363 * [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539795945.363 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795945.366 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795945.370 * * [misc]simplify:  iters left: 4 (45 enodes)
1539795945.380 * * [misc]simplify:  iters left: 3 (91 enodes)
1539795945.398 * * [misc]simplify:  iters left: 2 (155 enodes)
1539795945.424 * * [misc]simplify:  iters left: 1 (189 enodes)
1539795945.461 * [exit]simplify:  Simplified to (sqrt (* 2 (* PI n)))
1539795945.461 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* 2 (* PI n))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.461 * * * * [misc]progress:  [ 155 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.462 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539795945.462 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795945.467 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795945.475 * * [misc]simplify:  iters left: 4 (39 enodes)
1539795945.484 * * [misc]simplify:  iters left: 3 (73 enodes)
1539795945.498 * * [misc]simplify:  iters left: 2 (158 enodes)
1539795945.548 * * [misc]simplify:  iters left: 1 (399 enodes)
1539795945.911 * [exit]simplify:  Simplified to (sqrt (* (* n PI) 2))
1539795945.911 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* n PI) 2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795945.911 * * * * [misc]progress:  [ 156 / 156 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539795945.911 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539795945.912 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795945.914 * * [misc]simplify:  iters left: 5 (24 enodes)
1539795945.918 * * [misc]simplify:  iters left: 4 (40 enodes)
1539795945.927 * * [misc]simplify:  iters left: 3 (89 enodes)
1539795945.946 * * [misc]simplify:  iters left: 2 (242 enodes)
1539795946.058 * [exit]simplify:  Simplified to (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2))
1539795946.058 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (* (sqrt (* PI -2)) (pow (/ -1 n) -1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539795946.058 * * * [misc]progress:  adding candidates to table
1539795948.042 * * [misc]progress:  iteration 4 / 4
1539795948.042 * * * [misc]progress:  picking best candidate
1539795948.069 * * * * [misc]pick:  Picked  #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.069 * * * [misc]progress:  localizing error
1539795948.155 * * * [misc]progress:  generating rewritten candidates
1539795948.155 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
1539795948.173 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1 1 1)
1539795948.173 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 1)
1539795948.178 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 1)
1539795948.183 * * * [misc]progress:  generating series expansions
1539795948.183 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
1539795948.183 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 n) PI)) (sqrt k)) into (* (sqrt 2) (sqrt (/ (* n PI) k)))
1539795948.183 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0
1539795948.183 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k
1539795948.183 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.183 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.183 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.184 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.184 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.184 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539795948.184 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539795948.184 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539795948.184 * [misc]taylor:  Taking taylor expansion of n in k
1539795948.184 * [misc]backup-simplify:  Simplify n into n
1539795948.184 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.184 * [misc]backup-simplify:  Simplify PI into PI
1539795948.184 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.184 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.184 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.184 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795948.184 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539795948.185 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.185 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539795948.185 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n
1539795948.185 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795948.185 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.185 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.185 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.185 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.185 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795948.185 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795948.185 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.185 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.186 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.186 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.186 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.186 * [misc]backup-simplify:  Simplify PI into PI
1539795948.186 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.186 * [misc]backup-simplify:  Simplify k into k
1539795948.186 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795948.187 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795948.187 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795948.187 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.187 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795948.187 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n
1539795948.187 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795948.187 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.187 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.187 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.188 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.188 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539795948.188 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539795948.188 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.188 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.188 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.188 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.188 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.188 * [misc]backup-simplify:  Simplify PI into PI
1539795948.188 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.188 * [misc]backup-simplify:  Simplify k into k
1539795948.188 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795948.189 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795948.189 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539795948.189 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.189 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539795948.190 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539795948.190 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795948.190 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.190 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k)))
1539795948.190 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k
1539795948.190 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k
1539795948.190 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.190 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.190 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k
1539795948.190 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1539795948.190 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.190 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.190 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.191 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.191 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.191 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.191 * [misc]backup-simplify:  Simplify PI into PI
1539795948.191 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.191 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.191 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.191 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539795948.192 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539795948.193 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539795948.194 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795948.195 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795948.195 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.196 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795948.196 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539795948.197 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539795948.198 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795948.199 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))))
1539795948.199 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k
1539795948.199 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k
1539795948.199 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.199 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.199 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k
1539795948.199 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1539795948.199 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.199 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.199 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.199 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.200 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.200 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795948.200 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.200 * [misc]backup-simplify:  Simplify PI into PI
1539795948.200 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795948.200 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.200 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.200 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.200 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795948.201 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795948.201 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.202 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539795948.203 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795948.204 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539795948.204 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795948.206 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0
1539795948.207 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539795948.207 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.207 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.208 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539795948.210 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0
1539795948.211 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0
1539795948.211 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.211 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.211 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.213 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.213 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539795948.214 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI k)) (* +nan.0 (/ (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow k 3)))
1539795948.214 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.215 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (/ (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (/ PI k))) (* 0 0)))) into (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))))
1539795948.215 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k
1539795948.215 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k
1539795948.215 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.215 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.215 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k
1539795948.215 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k
1539795948.215 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.216 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.216 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.216 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.216 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.216 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539795948.216 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.216 * [misc]backup-simplify:  Simplify PI into PI
1539795948.216 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539795948.216 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.216 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.216 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.216 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795948.217 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539795948.218 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539795948.218 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.218 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.219 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3))
1539795948.220 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.221 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795948.222 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539795948.223 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
1539795948.224 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795948.226 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1539795948.226 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539795948.226 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795948.227 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539795948.227 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0
1539795948.228 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795948.230 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0
1539795948.232 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.234 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0
1539795948.234 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.234 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.235 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.237 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795948.238 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539795948.238 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539795948.240 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.242 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0
1539795948.242 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.242 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.243 * [misc]backup-simplify:  Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k))
1539795948.244 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (sqrt (/ 1 k))) into (* (sqrt 2) (sqrt (/ (* PI k) n)))
1539795948.244 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0
1539795948.244 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k
1539795948.244 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.244 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.244 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.244 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.244 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.244 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539795948.244 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539795948.244 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795948.244 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.244 * [misc]backup-simplify:  Simplify PI into PI
1539795948.244 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.244 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.245 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.245 * [misc]taylor:  Taking taylor expansion of n in k
1539795948.245 * [misc]backup-simplify:  Simplify n into n
1539795948.245 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795948.246 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795948.246 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795948.246 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.246 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539795948.246 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n
1539795948.246 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795948.246 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.246 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.246 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.247 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.247 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795948.247 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795948.247 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795948.247 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.247 * [misc]backup-simplify:  Simplify PI into PI
1539795948.247 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.247 * [misc]backup-simplify:  Simplify k into k
1539795948.247 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.247 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.247 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.247 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795948.247 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795948.247 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.248 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795948.248 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n
1539795948.248 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539795948.248 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.248 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.248 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.248 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.248 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539795948.248 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539795948.248 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539795948.248 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.248 * [misc]backup-simplify:  Simplify PI into PI
1539795948.248 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.248 * [misc]backup-simplify:  Simplify k into k
1539795948.248 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.248 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.248 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.248 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539795948.249 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539795948.249 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.249 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539795948.249 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539795948.249 * [misc]taylor:  Taking taylor expansion of 0 in k
1539795948.249 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.249 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.250 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k))))
1539795948.250 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k
1539795948.250 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k
1539795948.250 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.250 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.250 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539795948.250 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.250 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.250 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.250 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.250 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.250 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539795948.250 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.250 * [misc]backup-simplify:  Simplify PI into PI
1539795948.250 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.251 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.251 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.251 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539795948.251 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539795948.251 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539795948.252 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.252 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.252 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.252 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539795948.252 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539795948.253 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539795948.254 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795948.255 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))))
1539795948.255 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k
1539795948.255 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k
1539795948.255 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.255 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.255 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539795948.255 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.255 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.255 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.255 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.255 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.256 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539795948.256 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795948.256 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.256 * [misc]backup-simplify:  Simplify PI into PI
1539795948.256 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539795948.256 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.256 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.256 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.256 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539795948.257 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539795948.258 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795948.260 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795948.261 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539795948.261 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.261 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539795948.261 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.262 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 2) (pow k 2))))))) (* 2 0)) into (* +nan.0 (* (pow PI 3) (pow k 3)))
1539795948.263 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.264 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))))
1539795948.264 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.264 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.264 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.264 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.264 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.264 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.264 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539795948.264 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.264 * [misc]backup-simplify:  Simplify PI into PI
1539795948.264 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539795948.265 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.265 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.265 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.265 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539795948.266 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539795948.268 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539795948.269 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539795948.269 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.269 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.269 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.270 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539795948.270 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.272 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 2) (pow k 2))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 4) (pow k 4)))
1539795948.273 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.274 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))))
1539795948.274 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.275 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.275 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.275 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.275 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.275 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.275 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.275 * [misc]backup-simplify:  Simplify PI into PI
1539795948.275 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539795948.275 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.275 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.275 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.276 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795948.276 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.276 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539795948.277 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539795948.278 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2)))
1539795948.279 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539795948.280 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539795948.281 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539795948.282 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.283 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795948.285 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539795948.285 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.285 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.285 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.286 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539795948.287 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.288 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 4) (pow k 4))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 3) (pow k 3))))))) (* 2 0)) into (* +nan.0 (* (pow PI 5) (pow k 5)))
1539795948.289 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.291 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))))
1539795948.291 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.291 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.291 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.291 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.291 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.291 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.291 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539795948.291 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.292 * [misc]backup-simplify:  Simplify PI into PI
1539795948.292 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539795948.292 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.292 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.292 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.292 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539795948.293 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539795948.293 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539795948.294 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539795948.296 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539795948.296 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.296 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.297 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539795948.298 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.301 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795948.304 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0
1539795948.304 * [misc]backup-simplify:  Simplify (- 0) into 0
1539795948.304 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.304 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.305 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539795948.306 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.308 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* (pow PI 3) (pow k 3))) 2) (+ (* 2 (* (* +nan.0 (* PI k)) (* +nan.0 (* (pow PI 5) (pow k 5))))) (* 2 (* (* +nan.0 (* (pow PI 2) (pow k 2))) (* +nan.0 (* (pow PI 4) (pow k 4))))))) (* 2 0)) into (* +nan.0 (* (pow PI 6) (pow k 6)))
1539795948.309 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539795948.311 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow PI 6) (pow k 6)))) (+ (* 0 (* +nan.0 (* (pow PI 5) (pow k 5)))) (+ (* 0 (* +nan.0 (* (pow PI 4) (pow k 4)))) (+ (* 0 (* +nan.0 (* (pow PI 3) (pow k 3)))) (+ (* 0 (* +nan.0 (* (pow PI 2) (pow k 2)))) (+ (* 0 (* +nan.0 (* PI k))) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))))
1539795948.312 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.312 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.312 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of 2 in k
1539795948.312 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.312 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539795948.312 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539795948.312 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.312 * [misc]backup-simplify:  Simplify PI into PI
1539795948.312 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539795948.312 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.312 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.312 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.313 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795948.313 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539795948.313 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.314 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539795948.314 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539795948.315 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539795948.315 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3)))
1539795948.317 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539795948.318 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539795948.322 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (* (pow (/ 1 k) 3) (pow (/ 1 n) 2))) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (* (pow (/ 1 k) 2) (/ 1 n))) (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k)))))))
1539795948.324 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (sqrt (/ 1 (- k)))) into (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k)))
1539795948.324 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0
1539795948.324 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k
1539795948.324 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1539795948.324 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539795948.324 * [misc]taylor:  Taking taylor expansion of -2 in k
1539795948.324 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.324 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539795948.324 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.324 * [misc]backup-simplify:  Simplify PI into PI
1539795948.324 * [misc]taylor:  Taking taylor expansion of n in k
1539795948.324 * [misc]backup-simplify:  Simplify n into n
1539795948.325 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539795948.325 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539795948.325 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539795948.325 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1539795948.325 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1539795948.325 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539795948.325 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795948.325 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795948.325 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795948.325 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.325 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.325 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.326 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.326 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795948.326 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.326 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795948.327 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) +nan.0) into (* +nan.0 (sqrt (* -2 (/ PI n))))
1539795948.327 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n
1539795948.327 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539795948.327 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.327 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.327 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.327 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.327 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.327 * [misc]backup-simplify:  Simplify PI into PI
1539795948.327 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.327 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.327 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.327 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.327 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.328 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.328 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795948.328 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795948.328 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795948.328 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795948.328 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.328 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.328 * [misc]backup-simplify:  Simplify k into k
1539795948.329 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795948.329 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795948.329 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795948.329 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795948.329 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k))))
1539795948.329 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n
1539795948.329 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539795948.329 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.329 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.329 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.329 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.329 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.329 * [misc]backup-simplify:  Simplify PI into PI
1539795948.329 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.329 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.329 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.330 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.330 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.330 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.331 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539795948.331 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539795948.331 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539795948.331 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795948.331 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.331 * [misc]taylor:  Taking taylor expansion of k in n
1539795948.331 * [misc]backup-simplify:  Simplify k into k
1539795948.331 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539795948.331 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539795948.331 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539795948.331 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539795948.332 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k))))
1539795948.332 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ PI (sqrt (/ -1 k)))) in k
1539795948.332 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.332 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.332 * [misc]taylor:  Taking taylor expansion of (/ PI (sqrt (/ -1 k))) in k
1539795948.332 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.332 * [misc]backup-simplify:  Simplify PI into PI
1539795948.332 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795948.332 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795948.332 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795948.332 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.332 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.332 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.332 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.332 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795948.332 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.333 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795948.333 * [misc]backup-simplify:  Simplify (/ PI +nan.0) into (* +nan.0 PI)
1539795948.334 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 PI)) into (* +nan.0 PI)
1539795948.334 * [misc]backup-simplify:  Simplify (* +nan.0 PI) into (* +nan.0 PI)
1539795948.335 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.335 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795948.337 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539795948.338 * [misc]backup-simplify:  Simplify (- (/ (* +nan.0 (pow PI 2)) (sqrt (/ -1 k))) (+ (* (* +nan.0 (/ PI (sqrt (/ -1 k)))) (/ 0 (sqrt (/ -1 k)))))) into (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k)))))
1539795948.338 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k)))) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539795948.338 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539795948.338 * [misc]taylor:  Taking taylor expansion of (/ (pow PI 2) (sqrt (/ -1 k))) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of PI in k
1539795948.338 * [misc]backup-simplify:  Simplify PI into PI
1539795948.338 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539795948.338 * [misc]taylor:  Taking taylor expansion of -1 in k
1539795948.338 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.338 * [misc]taylor:  Taking taylor expansion of k in k
1539795948.338 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.338 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.338 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539795948.338 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539795948.339 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539795948.339 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539795948.340 * [misc]backup-simplify:  Simplify (/ (pow PI 2) +nan.0) into (* +nan.0 (pow PI 2))
1539795948.340 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (pow PI 2))) into (* +nan.0 (pow PI 2))
1539795948.341 * [misc]backup-simplify:  Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2)))
1539795948.342 * [misc]backup-simplify:  Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2)))
1539795948.342 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539795948.343 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539795948.345 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 PI) (/ +nan.0 +nan.0)))) into (- (* +nan.0 PI))
1539795948.346 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 PI))) (* 0 (* +nan.0 PI))) into (- (* +nan.0 PI))
1539795948.347 * [misc]backup-simplify:  Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI))
1539795948.348 * [misc]backup-simplify:  Simplify (+ (* (- (* +nan.0 PI)) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (pow PI 2))) (* 1 (/ 1 (- n)))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n)))))))
1539795948.349 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1 1 1)
1539795948.349 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539795948.349 * [misc]approximate:  Taking taylor expansion of (* n PI) in (n) around 0
1539795948.349 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.349 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.349 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.349 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.349 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.349 * [misc]backup-simplify:  Simplify PI into PI
1539795948.349 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.349 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.349 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.349 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.349 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.349 * [misc]backup-simplify:  Simplify PI into PI
1539795948.349 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795948.350 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.350 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795948.350 * [misc]backup-simplify:  Simplify PI into PI
1539795948.351 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795948.351 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.353 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.353 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.355 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.355 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.358 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.358 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.361 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.361 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.365 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795948.365 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.365 * [misc]backup-simplify:  Simplify (* PI n) into (* n PI)
1539795948.365 * [misc]backup-simplify:  Simplify (* (/ 1 n) PI) into (/ PI n)
1539795948.365 * [misc]approximate:  Taking taylor expansion of (/ PI n) in (n) around 0
1539795948.365 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.365 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.365 * [misc]backup-simplify:  Simplify PI into PI
1539795948.365 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.365 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.365 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.366 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.366 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.366 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.366 * [misc]backup-simplify:  Simplify PI into PI
1539795948.366 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.366 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.366 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.366 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.366 * [misc]backup-simplify:  Simplify PI into PI
1539795948.367 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.367 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.369 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.369 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.370 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.370 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.372 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.372 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.374 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.374 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.377 * [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
1539795948.377 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.377 * [misc]backup-simplify:  Simplify (* PI (/ 1 (/ 1 n))) into (* n PI)
1539795948.377 * [misc]backup-simplify:  Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n))
1539795948.377 * [misc]approximate:  Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0
1539795948.377 * [misc]taylor:  Taking taylor expansion of (* -1 (/ PI n)) in n
1539795948.377 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795948.377 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.377 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.377 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.377 * [misc]backup-simplify:  Simplify PI into PI
1539795948.377 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.377 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.377 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.378 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.378 * [misc]taylor:  Taking taylor expansion of (* -1 (/ PI n)) in n
1539795948.378 * [misc]taylor:  Taking taylor expansion of -1 in n
1539795948.378 * [misc]backup-simplify:  Simplify -1 into -1
1539795948.378 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.378 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.378 * [misc]backup-simplify:  Simplify PI into PI
1539795948.378 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.378 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.378 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.378 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.379 * [misc]backup-simplify:  Simplify (* -1 PI) into (* -1 PI)
1539795948.379 * [misc]backup-simplify:  Simplify (* -1 PI) into (* -1 PI)
1539795948.380 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.381 * [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 PI)) into 0
1539795948.381 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.382 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.383 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.383 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.385 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.387 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.387 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.388 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.390 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.391 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.393 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.395 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.395 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.398 * [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
1539795948.401 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.401 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.402 * [misc]backup-simplify:  Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI)
1539795948.402 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 1)
1539795948.402 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1539795948.402 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795948.402 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795948.402 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.402 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.402 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.402 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.402 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.402 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.402 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.402 * [misc]backup-simplify:  Simplify PI into PI
1539795948.402 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795948.402 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.402 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.402 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.402 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.402 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.402 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.402 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.402 * [misc]backup-simplify:  Simplify PI into PI
1539795948.403 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795948.403 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795948.403 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.404 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795948.404 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795948.405 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.406 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795948.407 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795948.407 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.408 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.410 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795948.410 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.412 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.414 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795948.414 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.417 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.419 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795948.419 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.423 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.426 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795948.426 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.430 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795948.434 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795948.434 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.434 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795948.435 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1539795948.435 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795948.435 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795948.435 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.435 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.435 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.435 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.435 * [misc]backup-simplify:  Simplify PI into PI
1539795948.435 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.435 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.435 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.435 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.435 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795948.435 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.435 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.435 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.435 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.435 * [misc]backup-simplify:  Simplify PI into PI
1539795948.435 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.435 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.436 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.436 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.436 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.436 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.437 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.438 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795948.438 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.439 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.440 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.440 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.442 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.444 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.444 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.445 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.448 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.448 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.450 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.452 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.452 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.455 * [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
1539795948.458 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.458 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.458 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795948.459 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1539795948.459 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795948.459 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.459 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.459 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.459 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.459 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.459 * [misc]backup-simplify:  Simplify PI into PI
1539795948.459 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.459 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.459 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.459 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.459 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.459 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.459 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.459 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.459 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.460 * [misc]backup-simplify:  Simplify PI into PI
1539795948.460 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.460 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.460 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.460 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.460 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.461 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.462 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.462 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795948.462 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.464 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.465 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.465 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.466 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.468 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.468 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.470 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.472 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.472 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.474 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.477 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.477 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.480 * [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
1539795948.483 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.483 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.484 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795948.484 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 1)
1539795948.484 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1539795948.484 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539795948.484 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795948.484 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.484 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.484 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.484 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.484 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.484 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.484 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.484 * [misc]backup-simplify:  Simplify PI into PI
1539795948.484 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539795948.484 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.484 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.484 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539795948.484 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.484 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.484 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.484 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.484 * [misc]backup-simplify:  Simplify PI into PI
1539795948.485 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539795948.485 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539795948.485 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.486 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539795948.486 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539795948.487 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.488 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539795948.488 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539795948.488 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.489 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.490 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539795948.490 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.491 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.492 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539795948.492 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.494 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.496 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539795948.496 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.497 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.499 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539795948.499 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.502 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539795948.504 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539795948.504 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.504 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539795948.504 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1539795948.504 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539795948.504 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795948.504 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.504 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.504 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.504 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.504 * [misc]backup-simplify:  Simplify PI into PI
1539795948.504 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.504 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.504 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.505 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.505 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539795948.505 * [misc]taylor:  Taking taylor expansion of 2 in n
1539795948.505 * [misc]backup-simplify:  Simplify 2 into 2
1539795948.505 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.505 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.505 * [misc]backup-simplify:  Simplify PI into PI
1539795948.505 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.505 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.505 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.505 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.505 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.505 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539795948.506 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.506 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539795948.506 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.507 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.508 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.508 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.509 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.510 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.510 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.511 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.512 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.512 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.513 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.515 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.515 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.516 * [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
1539795948.518 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.518 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.518 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539795948.519 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1539795948.519 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539795948.519 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.519 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.519 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.519 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.519 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.519 * [misc]backup-simplify:  Simplify PI into PI
1539795948.519 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.519 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.519 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.519 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.519 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539795948.519 * [misc]taylor:  Taking taylor expansion of -2 in n
1539795948.519 * [misc]backup-simplify:  Simplify -2 into -2
1539795948.519 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539795948.519 * [misc]taylor:  Taking taylor expansion of PI in n
1539795948.519 * [misc]backup-simplify:  Simplify PI into PI
1539795948.519 * [misc]taylor:  Taking taylor expansion of n in n
1539795948.519 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.519 * [misc]backup-simplify:  Simplify 1 into 1
1539795948.519 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539795948.519 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.520 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539795948.520 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539795948.521 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539795948.521 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.521 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.522 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539795948.522 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.523 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.524 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539795948.524 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.525 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.526 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539795948.526 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.527 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539795948.529 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539795948.529 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.530 * [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
1539795948.532 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539795948.532 * [misc]backup-simplify:  Simplify 0 into 0
1539795948.532 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539795948.532 * * * [misc]progress:  simplifying candidates
1539795948.532 * * * * [misc]progress:  [ 1 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (log1p (expm1 (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.533 * * * * [misc]progress:  [ 2 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (expm1 (log1p (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.533 * * * * [misc]progress:  [ 3 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (pow (/ (sqrt (* (* 2 n) PI)) (sqrt k)) 1) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.533 * * * * [misc]progress:  [ 4 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (exp (- (log (sqrt (* (* 2 n) PI))) (log (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.533 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (sqrt k)))
1539795948.533 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.535 * * [misc]simplify:  iters left: 5 (17 enodes)
1539795948.537 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795948.540 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795948.543 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI n) 2))) (log (sqrt k)))
1539795948.543 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (exp (- (log (sqrt (* (* PI n) 2))) (log (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.543 * * * * [misc]progress:  [ 5 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (exp (log (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.543 * * * * [misc]progress:  [ 6 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (log (exp (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.543 * * * * [misc]progress:  [ 7 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (sqrt k) (sqrt k)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.543 * [enter]simplify:  Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539795948.543 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795948.546 * * [misc]simplify:  iters left: 5 (26 enodes)
1539795948.550 * * [misc]simplify:  iters left: 4 (73 enodes)
1539795948.567 * * [misc]simplify:  iters left: 3 (264 enodes)
1539795948.735 * [exit]simplify:  Simplified to (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k)))
1539795948.735 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.735 * * * * [misc]progress:  [ 8 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (* (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (cbrt (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.735 * * * * [misc]progress:  [ 9 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (cbrt (* (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.735 * * * * [misc]progress:  [ 10 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (/ (* (* 2 n) PI) k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.735 * [enter]simplify:  Simplifying (/ (* (* 2 n) PI) k)
1539795948.736 * * [misc]simplify:  iters left: 6 (7 enodes)
1539795948.737 * * [misc]simplify:  iters left: 5 (13 enodes)
1539795948.738 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.741 * * [misc]simplify:  iters left: 3 (38 enodes)
1539795948.747 * * [misc]simplify:  iters left: 2 (55 enodes)
1539795948.754 * * [misc]simplify:  iters left: 1 (74 enodes)
1539795948.765 * [exit]simplify:  Simplified to (* (/ n k) (* PI 2))
1539795948.765 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (sqrt (* (/ n k) (* PI 2))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.766 * * * * [misc]progress:  [ 11 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (sqrt (/ (sqrt (* (* 2 n) PI)) (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.766 * * * * [misc]progress:  [ 12 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (- (sqrt (* (* 2 n) PI))) (- (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.766 * * * * [misc]progress:  [ 13 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.766 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795948.766 * * [misc]simplify:  iters left: 6 (13 enodes)
1539795948.768 * * [misc]simplify:  iters left: 5 (23 enodes)
1539795948.771 * * [misc]simplify:  iters left: 4 (38 enodes)
1539795948.776 * * [misc]simplify:  iters left: 3 (42 enodes)
1539795948.781 * * [misc]simplify:  iters left: 2 (45 enodes)
1539795948.787 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))))
1539795948.787 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.787 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))
1539795948.787 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.788 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.792 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.794 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.797 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))
1539795948.797 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.797 * * * * [misc]progress:  [ 14 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.797 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k)))
1539795948.797 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795948.799 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795948.801 * * [misc]simplify:  iters left: 4 (26 enodes)
1539795948.805 * * [misc]simplify:  iters left: 3 (28 enodes)
1539795948.809 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))))
1539795948.809 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.809 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539795948.809 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.812 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.817 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.822 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.827 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539795948.827 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.827 * * * * [misc]progress:  [ 15 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.828 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1)
1539795948.828 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795948.831 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795948.837 * * [misc]simplify:  iters left: 4 (30 enodes)
1539795948.844 * * [misc]simplify:  iters left: 3 (33 enodes)
1539795948.851 * * [misc]simplify:  iters left: 2 (38 enodes)
1539795948.859 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))
1539795948.859 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.860 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k))
1539795948.860 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795948.863 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795948.867 * * [misc]simplify:  iters left: 4 (20 enodes)
1539795948.872 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.876 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))
1539795948.876 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.876 * * * * [misc]progress:  [ 16 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.877 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795948.877 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795948.878 * * [misc]simplify:  iters left: 5 (12 enodes)
1539795948.879 * [exit]simplify:  Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
1539795948.879 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.880 * [enter]simplify:  Simplifying (/ (sqrt PI) (cbrt (sqrt k)))
1539795948.880 * * [misc]simplify:  iters left: 4 (6 enodes)
1539795948.880 * [exit]simplify:  Simplified to (/ (sqrt PI) (cbrt (sqrt k)))
1539795948.880 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt PI) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.880 * * * * [misc]progress:  [ 17 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.881 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1539795948.881 * * [misc]simplify:  iters left: 5 (8 enodes)
1539795948.882 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795948.883 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1539795948.883 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.883 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt (sqrt k)))
1539795948.883 * * [misc]simplify:  iters left: 4 (6 enodes)
1539795948.884 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (sqrt k)))
1539795948.884 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.884 * * * * [misc]progress:  [ 18 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (* 2 n)) 1) (/ (sqrt PI) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.884 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) 1)
1539795948.884 * * [misc]simplify:  iters left: 5 (6 enodes)
1539795948.885 * * [misc]simplify:  iters left: 4 (9 enodes)
1539795948.887 * * [misc]simplify:  iters left: 3 (11 enodes)
1539795948.888 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1539795948.888 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.888 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt k))
1539795948.888 * * [misc]simplify:  iters left: 3 (5 enodes)
1539795948.889 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt k))
1539795948.889 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.889 * * * * [misc]progress:  [ 19 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.889 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795948.889 * * [misc]simplify:  iters left: 6 (12 enodes)
1539795948.890 * * [misc]simplify:  iters left: 5 (18 enodes)
1539795948.893 * * [misc]simplify:  iters left: 4 (24 enodes)
1539795948.896 * * [misc]simplify:  iters left: 3 (25 enodes)
1539795948.900 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795948.900 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.900 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))
1539795948.900 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.902 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.904 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.906 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.909 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))
1539795948.909 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.909 * * * * [misc]progress:  [ 20 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.909 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539795948.909 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.911 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.913 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.916 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.918 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539795948.918 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.919 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539795948.919 * * [misc]simplify:  iters left: 6 (11 enodes)
1539795948.920 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.922 * * [misc]simplify:  iters left: 4 (21 enodes)
1539795948.925 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.927 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539795948.927 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.927 * * * * [misc]progress:  [ 21 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (sqrt (sqrt (* (* 2 n) PI))) 1) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.928 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1)
1539795948.928 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795948.929 * * [misc]simplify:  iters left: 5 (15 enodes)
1539795948.931 * * [misc]simplify:  iters left: 4 (23 enodes)
1539795948.934 * * [misc]simplify:  iters left: 3 (24 enodes)
1539795948.936 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* PI n) 2)))
1539795948.936 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.936 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))
1539795948.937 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795948.938 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795948.940 * * [misc]simplify:  iters left: 4 (20 enodes)
1539795948.943 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.945 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))
1539795948.945 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.945 * * * * [misc]progress:  [ 22 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.945 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539795948.946 * * [misc]simplify:  iters left: 6 (6 enodes)
1539795948.946 * * [misc]simplify:  iters left: 5 (10 enodes)
1539795948.948 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539795948.948 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.948 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k)))
1539795948.948 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795948.949 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795948.951 * * [misc]simplify:  iters left: 4 (20 enodes)
1539795948.954 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.956 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))
1539795948.956 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.956 * * * * [misc]progress:  [ 23 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.956 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539795948.957 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795948.957 * * [misc]simplify:  iters left: 3 (7 enodes)
1539795948.958 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539795948.958 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.958 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))
1539795948.958 * * [misc]simplify:  iters left: 6 (10 enodes)
1539795948.960 * * [misc]simplify:  iters left: 5 (14 enodes)
1539795948.962 * * [misc]simplify:  iters left: 4 (20 enodes)
1539795948.965 * * [misc]simplify:  iters left: 3 (22 enodes)
1539795948.970 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539795948.970 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.970 * * * * [misc]progress:  [ 24 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (/ 1 1) (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.971 * [enter]simplify:  Simplifying (/ 1 1)
1539795948.972 * * [misc]simplify:  iters left: 2 (2 enodes)
1539795948.972 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795948.973 * [exit]simplify:  Simplified to 1
1539795948.973 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.974 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt k))
1539795948.974 * * [misc]simplify:  iters left: 6 (9 enodes)
1539795948.976 * * [misc]simplify:  iters left: 5 (13 enodes)
1539795948.980 * * [misc]simplify:  iters left: 4 (19 enodes)
1539795948.985 * * [misc]simplify:  iters left: 3 (20 enodes)
1539795948.989 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt k))
1539795948.989 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.989 * * * * [misc]progress:  [ 25 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* 1 (/ (sqrt (* (* 2 n) PI)) (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.990 * * * * [misc]progress:  [ 26 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* (sqrt (* (* 2 n) PI)) (/ 1 (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.990 * * * * [misc]progress:  [ 27 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ 1 (/ (sqrt k) (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.990 * * * * [misc]progress:  [ 28 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.990 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539795948.990 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795948.991 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539795948.991 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.991 * * * * [misc]progress:  [ 29 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.991 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539795948.991 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795948.992 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539795948.992 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.992 * * * * [misc]progress:  [ 30 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) 1) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.992 * [enter]simplify:  Simplifying (sqrt k)
1539795948.992 * * [misc]simplify:  iters left: 1 (2 enodes)
1539795948.993 * [exit]simplify:  Simplified to (sqrt k)
1539795948.993 * [misc]simplify:  Simplified (2 2 1 2) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (/ (sqrt (* (* 2 n) PI)) 1) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795948.993 * * * * [misc]progress:  [ 31 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (cbrt (sqrt (* (* 2 n) PI))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795948.993 * [enter]simplify:  Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539795948.994 * * [misc]simplify:  iters left: 6 (8 enodes)
1539795948.996 * * [misc]simplify:  iters left: 5 (12 enodes)
1539795949.000 * * [misc]simplify:  iters left: 4 (18 enodes)
1539795949.002 * * [misc]simplify:  iters left: 3 (20 enodes)
1539795949.004 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))
1539795949.004 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (sqrt k) (cbrt (sqrt (* (* 2 n) PI))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.005 * * * * [misc]progress:  [ 32 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.006 * [enter]simplify:  Simplifying (sqrt (* 2 n))
1539795949.006 * * [misc]simplify:  iters left: 3 (4 enodes)
1539795949.006 * * [misc]simplify:  iters left: 2 (5 enodes)
1539795949.007 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1539795949.007 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 n)) (/ (sqrt k) (sqrt PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.007 * * * * [misc]progress:  [ 33 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.007 * [enter]simplify:  Simplifying (sqrt (sqrt (* (* 2 n) PI)))
1539795949.007 * * [misc]simplify:  iters left: 6 (7 enodes)
1539795949.008 * * [misc]simplify:  iters left: 5 (11 enodes)
1539795949.010 * * [misc]simplify:  iters left: 4 (17 enodes)
1539795949.012 * * [misc]simplify:  iters left: 3 (19 enodes)
1539795949.014 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539795949.014 * [misc]simplify:  Simplified (2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.014 * * * * [misc]progress:  [ 34 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ 1 (/ (sqrt k) (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 35 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (log1p (expm1 (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 36 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (expm1 (log1p (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 37 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (pow (* n PI) 1) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 38 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (exp (log (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 39 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (log (exp (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 40 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 41 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (cbrt (* (* (* n PI) (* n PI)) (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 42 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* (sqrt (* n PI)) (sqrt (* n PI))) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.014 * * * * [misc]progress:  [ 43 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* 1 (* n PI)) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 44 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 45 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (log1p (expm1 (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 46 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (expm1 (log1p (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 47 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (pow (* (* 2 n) PI) 1) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 48 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (exp (log (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 49 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (log (exp (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 50 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 51 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (cbrt (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 52 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 53 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* 1 (* (* 2 n) PI)) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 54 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 55 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* PI (* 2 n)) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 56 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (log1p (expm1 (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 57 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (expm1 (log1p (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 58 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (pow (* (* 2 n) PI) 1)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 59 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (exp (log (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 60 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (log (exp (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 61 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* (cbrt (* (* 2 n) PI)) (cbrt (* (* 2 n) PI))) (cbrt (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 62 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (cbrt (* (* (* (* 2 n) PI) (* (* 2 n) PI)) (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 63 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI)))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 64 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 1 (* (* 2 n) PI))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 65 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 (* n PI))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 66 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* PI (* 2 n))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.015 * * * * [misc]progress:  [ 67 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (* +nan.0 (/ (* (sqrt 2) (* n PI)) k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.016 * [enter]simplify:  Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k))
1539795949.016 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ +nan.0 (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.016 * * * * [misc]progress:  [ 68 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k))))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.016 * [enter]simplify:  Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (* (pow n 2) (pow k 3)))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (* n (pow k 2)))) (- (* +nan.0 (/ (* (sqrt 2) PI) k)))))))
1539795949.016 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ +nan.0 (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.016 * * * * [misc]progress:  [ 69 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n))))))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.016 * [enter]simplify:  Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n)))))))
1539795949.016 * [misc]simplify:  Simplified (2 2 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ +nan.0 (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.016 * * * * [misc]progress:  [ 70 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.016 * [enter]simplify:  Simplifying (* n PI)
1539795949.016 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795949.017 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795949.017 * [exit]simplify:  Simplified to (* n PI)
1539795949.017 * [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.017 * * * * [misc]progress:  [ 71 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.017 * [enter]simplify:  Simplifying (* n PI)
1539795949.017 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795949.018 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795949.018 * [exit]simplify:  Simplified to (* n PI)
1539795949.018 * [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.018 * * * * [misc]progress:  [ 72 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.018 * [enter]simplify:  Simplifying (* n PI)
1539795949.018 * * [misc]simplify:  iters left: 2 (3 enodes)
1539795949.019 * * [misc]simplify:  iters left: 1 (4 enodes)
1539795949.019 * [exit]simplify:  Simplified to (* n PI)
1539795949.019 * [misc]simplify:  Simplified (2 1 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.019 * * * * [misc]progress:  [ 73 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))>
1539795949.020 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.020 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.020 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.022 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.024 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.025 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.025 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
1539795949.026 * * * * [misc]progress:  [ 74 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))>
1539795949.026 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.026 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.026 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.028 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.030 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.031 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.031 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
1539795949.032 * * * * [misc]progress:  [ 75 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* 2 (* n PI)) (/ k 2))))))>
1539795949.032 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.032 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.033 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.034 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.036 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.037 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.038 * [misc]simplify:  Simplified (2 2 2 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* PI n) 2) (/ k 2))))))
1539795949.038 * * * * [misc]progress:  [ 76 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 (* n PI))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.038 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.038 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.039 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.040 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.045 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.049 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.049 * [misc]simplify:  Simplified (2 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* PI n) 2)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.049 * * * * [misc]progress:  [ 77 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 (* n PI))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.049 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.049 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.051 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.053 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.056 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.058 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.058 * [misc]simplify:  Simplified (2 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* PI n) 2)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.058 * * * * [misc]progress:  [ 78 / 78 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* 2 (* n PI))) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))>
1539795949.058 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539795949.058 * * [misc]simplify:  iters left: 4 (5 enodes)
1539795949.059 * * [misc]simplify:  iters left: 3 (9 enodes)
1539795949.060 * * [misc]simplify:  iters left: 2 (15 enodes)
1539795949.062 * * [misc]simplify:  iters left: 1 (17 enodes)
1539795949.064 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539795949.064 * [misc]simplify:  Simplified (2 2 1 1 1) to (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* PI n) 2)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))
1539795949.064 * * * [misc]progress:  adding candidates to table
1539795950.289 * [misc]progress:  [Phase 3 of 3] Extracting.
1539795950.289 * * [misc]regime:  Finding splitpoints for: (#<alt (λ (k n) (cbrt (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))))> #<alt (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>)
1539795950.292 * * * [misc]regime-changes:  Trying 2 branch expressions: (n k)
1539795950.292 * * * * [misc]regimes:  Trying to branch on n from (#<alt (λ (k n) (cbrt (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))))> #<alt (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>)
1539795950.368 * * * * [misc]regimes:  Trying to branch on k from (#<alt (λ (k n) (cbrt (* (/ (* (pow (* (* 2 n) PI) (/ (- k) 2)) (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) k))))> #<alt (λ (k n) (* (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))))> #<alt (λ (k n) (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))))> #<alt (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))> #<alt (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))>)
1539795950.443 * * * [misc]regime:  Found split indices: #<option (#s(si 2 256))>
1539795950.443 * [enter]simplify:  Simplifying (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))
1539795950.444 * * [misc]simplify:  iters left: 6 (20 enodes)
1539795950.446 * * [misc]simplify:  iters left: 5 (27 enodes)
1539795950.448 * [exit]simplify:  Simplified to (* (/ (/ (sqrt (* (* n 2) PI)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2)))) (/ 1 (sqrt (pow (* (* PI n) 2) (/ k 2)))))
1539795950.448 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1539795950.486 * * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
1539795950.503 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.505 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.506 * * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
1539795950.523 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.526 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.529 * * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
1539795950.545 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.548 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.551 * * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
1539795950.560 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.566 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.571 * * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
1539795950.581 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.602 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.624 * * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
1539795950.637 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.660 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.691 * * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
1539795950.723 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.768 * * * * [misc]points:  Setting MPFR precision to 1344
1539795950.839 * * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
1539795950.874 * * * * [misc]points:  Setting MPFR precision to 1088
1539795950.986 * * * * [misc]points:  Setting MPFR precision to 1344
1539795951.105 * * * * [misc]points:  Computing exacts for 8000 points
1539795951.152 * * * * [misc]points:  Setting MPFR precision to 1088
1539795951.801 * * * * [misc]points:  Setting MPFR precision to 1344
1539795952.854 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795952.856 * * * * [misc]points:  Sampling 6512 additional inputs, on iter 1 have 1488 / 8000
1539795952.927 * * * * [misc]points:  Computing exacts on every 407 of 6512 points to ramp up precision
1539795952.948 * * * * [misc]points:  Setting MPFR precision to 1088
1539795952.949 * * * * [misc]points:  Setting MPFR precision to 1344
1539795952.951 * * * * [misc]points:  Computing exacts on every 203 of 6512 points to ramp up precision
1539795952.967 * * * * [misc]points:  Setting MPFR precision to 1088
1539795952.969 * * * * [misc]points:  Setting MPFR precision to 1344
1539795952.970 * * * * [misc]points:  Computing exacts on every 101 of 6512 points to ramp up precision
1539795952.981 * * * * [misc]points:  Setting MPFR precision to 1088
1539795952.987 * * * * [misc]points:  Setting MPFR precision to 1344
1539795952.993 * * * * [misc]points:  Computing exacts on every 50 of 6512 points to ramp up precision
1539795953.014 * * * * [misc]points:  Setting MPFR precision to 1088
1539795953.032 * * * * [misc]points:  Setting MPFR precision to 1344
1539795953.044 * * * * [misc]points:  Computing exacts on every 25 of 6512 points to ramp up precision
1539795953.065 * * * * [misc]points:  Setting MPFR precision to 1088
1539795953.082 * * * * [misc]points:  Setting MPFR precision to 1344
1539795953.093 * * * * [misc]points:  Computing exacts on every 12 of 6512 points to ramp up precision
1539795953.114 * * * * [misc]points:  Setting MPFR precision to 1088
1539795953.155 * * * * [misc]points:  Setting MPFR precision to 1344
1539795953.192 * * * * [misc]points:  Computing exacts on every 6 of 6512 points to ramp up precision
1539795953.202 * * * * [misc]points:  Setting MPFR precision to 1088
1539795953.290 * * * * [misc]points:  Setting MPFR precision to 1344
1539795953.344 * * * * [misc]points:  Computing exacts on every 3 of 6512 points to ramp up precision
1539795953.364 * * * * [misc]points:  Setting MPFR precision to 1088
1539795953.514 * * * * [misc]points:  Setting MPFR precision to 1344
1539795953.697 * * * * [misc]points:  Computing exacts for 6512 points
1539795953.709 * * * * [misc]points:  Setting MPFR precision to 1088
1539795954.257 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.189 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795955.190 * * * * [misc]points:  Sampling 5314 additional inputs, on iter 2 have 2686 / 8000
1539795955.268 * * * * [misc]points:  Computing exacts on every 332 of 5314 points to ramp up precision
1539795955.281 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.282 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.283 * * * * [misc]points:  Computing exacts on every 166 of 5314 points to ramp up precision
1539795955.293 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.294 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.296 * * * * [misc]points:  Computing exacts on every 83 of 5314 points to ramp up precision
1539795955.310 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.313 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.317 * * * * [misc]points:  Computing exacts on every 41 of 5314 points to ramp up precision
1539795955.326 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.332 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.338 * * * * [misc]points:  Computing exacts on every 20 of 5314 points to ramp up precision
1539795955.367 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.389 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.401 * * * * [misc]points:  Computing exacts on every 10 of 5314 points to ramp up precision
1539795955.410 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.447 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.506 * * * * [misc]points:  Computing exacts on every 5 of 5314 points to ramp up precision
1539795955.515 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.567 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.643 * * * * [misc]points:  Computing exacts on every 2 of 5314 points to ramp up precision
1539795955.659 * * * * [misc]points:  Setting MPFR precision to 1088
1539795955.762 * * * * [misc]points:  Setting MPFR precision to 1344
1539795955.875 * * * * [misc]points:  Computing exacts for 5314 points
1539795955.924 * * * * [misc]points:  Setting MPFR precision to 1088
1539795956.355 * * * * [misc]points:  Setting MPFR precision to 1344
1539795956.796 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795956.798 * * * * [misc]points:  Sampling 4342 additional inputs, on iter 3 have 3658 / 8000
1539795956.821 * * * * [misc]points:  Computing exacts on every 271 of 4342 points to ramp up precision
1539795957.175 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.177 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.178 * * * * [misc]points:  Computing exacts on every 135 of 4342 points to ramp up precision
1539795957.190 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.192 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.194 * * * * [misc]points:  Computing exacts on every 67 of 4342 points to ramp up precision
1539795957.207 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.211 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.217 * * * * [misc]points:  Computing exacts on every 33 of 4342 points to ramp up precision
1539795957.238 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.244 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.250 * * * * [misc]points:  Computing exacts on every 16 of 4342 points to ramp up precision
1539795957.266 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.287 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.302 * * * * [misc]points:  Computing exacts on every 8 of 4342 points to ramp up precision
1539795957.312 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.338 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.369 * * * * [misc]points:  Computing exacts on every 4 of 4342 points to ramp up precision
1539795957.407 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.457 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.552 * * * * [misc]points:  Computing exacts on every 2 of 4342 points to ramp up precision
1539795957.576 * * * * [misc]points:  Setting MPFR precision to 1088
1539795957.670 * * * * [misc]points:  Setting MPFR precision to 1344
1539795957.830 * * * * [misc]points:  Computing exacts for 4342 points
1539795957.842 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.214 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.571 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795958.572 * * * * [misc]points:  Sampling 3511 additional inputs, on iter 4 have 4489 / 8000
1539795958.587 * * * * [misc]points:  Computing exacts on every 219 of 3511 points to ramp up precision
1539795958.620 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.621 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.621 * * * * [misc]points:  Computing exacts on every 109 of 3511 points to ramp up precision
1539795958.631 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.632 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.634 * * * * [misc]points:  Computing exacts on every 54 of 3511 points to ramp up precision
1539795958.644 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.646 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.649 * * * * [misc]points:  Computing exacts on every 27 of 3511 points to ramp up precision
1539795958.665 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.676 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.687 * * * * [misc]points:  Computing exacts on every 13 of 3511 points to ramp up precision
1539795958.707 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.728 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.750 * * * * [misc]points:  Computing exacts on every 6 of 3511 points to ramp up precision
1539795958.788 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.831 * * * * [misc]points:  Setting MPFR precision to 1344
1539795958.876 * * * * [misc]points:  Computing exacts on every 3 of 3511 points to ramp up precision
1539795958.918 * * * * [misc]points:  Setting MPFR precision to 1088
1539795958.980 * * * * [misc]points:  Setting MPFR precision to 1344
1539795959.021 * * * * [misc]points:  Computing exacts for 3511 points
1539795959.053 * * * * [misc]points:  Setting MPFR precision to 1088
1539795959.685 * * * * [misc]points:  Setting MPFR precision to 1344
1539795959.986 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795959.987 * * * * [misc]points:  Sampling 2830 additional inputs, on iter 5 have 5170 / 8000
1539795959.999 * * * * [misc]points:  Computing exacts on every 176 of 2830 points to ramp up precision
1539795960.047 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.049 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.050 * * * * [misc]points:  Computing exacts on every 88 of 2830 points to ramp up precision
1539795960.060 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.061 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.062 * * * * [misc]points:  Computing exacts on every 44 of 2830 points to ramp up precision
1539795960.088 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.093 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.096 * * * * [misc]points:  Computing exacts on every 22 of 2830 points to ramp up precision
1539795960.106 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.112 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.118 * * * * [misc]points:  Computing exacts on every 11 of 2830 points to ramp up precision
1539795960.140 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.151 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.165 * * * * [misc]points:  Computing exacts on every 5 of 2830 points to ramp up precision
1539795960.180 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.202 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.234 * * * * [misc]points:  Computing exacts on every 2 of 2830 points to ramp up precision
1539795960.270 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.339 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.441 * * * * [misc]points:  Computing exacts for 2830 points
1539795960.458 * * * * [misc]points:  Setting MPFR precision to 1088
1539795960.690 * * * * [misc]points:  Setting MPFR precision to 1344
1539795960.938 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795960.939 * * * * [misc]points:  Sampling 2337 additional inputs, on iter 6 have 5663 / 8000
1539795960.959 * * * * [misc]points:  Computing exacts on every 146 of 2337 points to ramp up precision
1539795961.014 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.016 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.017 * * * * [misc]points:  Computing exacts on every 73 of 2337 points to ramp up precision
1539795961.037 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.038 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.040 * * * * [misc]points:  Computing exacts on every 36 of 2337 points to ramp up precision
1539795961.053 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.057 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.060 * * * * [misc]points:  Computing exacts on every 18 of 2337 points to ramp up precision
1539795961.076 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.086 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.096 * * * * [misc]points:  Computing exacts on every 9 of 2337 points to ramp up precision
1539795961.117 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.148 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.169 * * * * [misc]points:  Computing exacts on every 4 of 2337 points to ramp up precision
1539795961.190 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.217 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.246 * * * * [misc]points:  Computing exacts on every 2 of 2337 points to ramp up precision
1539795961.293 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.342 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.402 * * * * [misc]points:  Computing exacts for 2337 points
1539795961.444 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.640 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.881 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795961.882 * * * * [misc]points:  Sampling 1879 additional inputs, on iter 7 have 6121 / 8000
1539795961.902 * * * * [misc]points:  Computing exacts on every 117 of 1879 points to ramp up precision
1539795961.923 * * * * [misc]points:  Setting MPFR precision to 1088
1539795961.924 * * * * [misc]points:  Setting MPFR precision to 1344
1539795961.925 * * * * [misc]points:  Computing exacts on every 58 of 1879 points to ramp up precision
1539795962.315 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.317 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.319 * * * * [misc]points:  Computing exacts on every 29 of 1879 points to ramp up precision
1539795962.328 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.331 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.334 * * * * [misc]points:  Computing exacts on every 14 of 1879 points to ramp up precision
1539795962.352 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.363 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.374 * * * * [misc]points:  Computing exacts on every 7 of 1879 points to ramp up precision
1539795962.402 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.413 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.425 * * * * [misc]points:  Computing exacts on every 3 of 1879 points to ramp up precision
1539795962.435 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.469 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.502 * * * * [misc]points:  Computing exacts for 1879 points
1539795962.512 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.688 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.854 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795962.855 * * * * [misc]points:  Sampling 1527 additional inputs, on iter 8 have 6473 / 8000
1539795962.912 * * * * [misc]points:  Computing exacts on every 95 of 1527 points to ramp up precision
1539795962.924 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.925 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.926 * * * * [misc]points:  Computing exacts on every 47 of 1527 points to ramp up precision
1539795962.935 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.937 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.938 * * * * [misc]points:  Computing exacts on every 23 of 1527 points to ramp up precision
1539795962.964 * * * * [misc]points:  Setting MPFR precision to 1088
1539795962.969 * * * * [misc]points:  Setting MPFR precision to 1344
1539795962.974 * * * * [misc]points:  Computing exacts on every 11 of 1527 points to ramp up precision
1539795962.994 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.005 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.014 * * * * [misc]points:  Computing exacts on every 5 of 1527 points to ramp up precision
1539795963.029 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.041 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.061 * * * * [misc]points:  Computing exacts on every 2 of 1527 points to ramp up precision
1539795963.082 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.132 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.168 * * * * [misc]points:  Computing exacts for 1527 points
1539795963.188 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.312 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.400 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795963.401 * * * * [misc]points:  Sampling 1226 additional inputs, on iter 9 have 6774 / 8000
1539795963.412 * * * * [misc]points:  Computing exacts on every 76 of 1226 points to ramp up precision
1539795963.470 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.472 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.472 * * * * [misc]points:  Computing exacts on every 38 of 1226 points to ramp up precision
1539795963.482 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.484 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.485 * * * * [misc]points:  Computing exacts on every 19 of 1226 points to ramp up precision
1539795963.499 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.502 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.506 * * * * [misc]points:  Computing exacts on every 9 of 1226 points to ramp up precision
1539795963.515 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.520 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.529 * * * * [misc]points:  Computing exacts on every 4 of 1226 points to ramp up precision
1539795963.550 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.580 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.600 * * * * [misc]points:  Computing exacts on every 2 of 1226 points to ramp up precision
1539795963.621 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.653 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.686 * * * * [misc]points:  Computing exacts for 1226 points
1539795963.733 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.819 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.946 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795963.946 * * * * [misc]points:  Sampling 1009 additional inputs, on iter 10 have 6991 / 8000
1539795963.955 * * * * [misc]points:  Computing exacts on every 63 of 1009 points to ramp up precision
1539795963.975 * * * * [misc]points:  Setting MPFR precision to 1088
1539795963.977 * * * * [misc]points:  Setting MPFR precision to 1344
1539795963.978 * * * * [misc]points:  Computing exacts on every 31 of 1009 points to ramp up precision
1539795964.005 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.007 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.009 * * * * [misc]points:  Computing exacts on every 15 of 1009 points to ramp up precision
1539795964.018 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.022 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.025 * * * * [misc]points:  Computing exacts on every 7 of 1009 points to ramp up precision
1539795964.037 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.048 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.060 * * * * [misc]points:  Computing exacts on every 3 of 1009 points to ramp up precision
1539795964.092 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.114 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.137 * * * * [misc]points:  Computing exacts for 1009 points
1539795964.157 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.252 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.307 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795964.308 * * * * [misc]points:  Sampling 817 additional inputs, on iter 11 have 7183 / 8000
1539795964.315 * * * * [misc]points:  Computing exacts on every 51 of 817 points to ramp up precision
1539795964.350 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.352 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.353 * * * * [misc]points:  Computing exacts on every 25 of 817 points to ramp up precision
1539795964.367 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.369 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.372 * * * * [misc]points:  Computing exacts on every 12 of 817 points to ramp up precision
1539795964.392 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.397 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.403 * * * * [misc]points:  Computing exacts on every 6 of 817 points to ramp up precision
1539795964.774 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.780 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.785 * * * * [misc]points:  Computing exacts on every 3 of 817 points to ramp up precision
1539795964.804 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.821 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.838 * * * * [misc]points:  Computing exacts for 817 points
1539795964.867 * * * * [misc]points:  Setting MPFR precision to 1088
1539795964.918 * * * * [misc]points:  Setting MPFR precision to 1344
1539795964.966 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795964.966 * * * * [misc]points:  Sampling 672 additional inputs, on iter 12 have 7328 / 8000
1539795964.972 * * * * [misc]points:  Computing exacts on every 42 of 672 points to ramp up precision
1539795965.027 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.028 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.030 * * * * [misc]points:  Computing exacts on every 21 of 672 points to ramp up precision
1539795965.050 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.052 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.055 * * * * [misc]points:  Computing exacts on every 10 of 672 points to ramp up precision
1539795965.082 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.088 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.093 * * * * [misc]points:  Computing exacts on every 5 of 672 points to ramp up precision
1539795965.114 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.123 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.132 * * * * [misc]points:  Computing exacts on every 2 of 672 points to ramp up precision
1539795965.156 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.167 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.179 * * * * [misc]points:  Computing exacts for 672 points
1539795965.198 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.227 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.317 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795965.318 * * * * [misc]points:  Sampling 534 additional inputs, on iter 13 have 7466 / 8000
1539795965.322 * * * * [misc]points:  Computing exacts on every 33 of 534 points to ramp up precision
1539795965.342 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.343 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.345 * * * * [misc]points:  Computing exacts on every 16 of 534 points to ramp up precision
1539795965.365 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.366 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.368 * * * * [misc]points:  Computing exacts on every 8 of 534 points to ramp up precision
1539795965.385 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.388 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.391 * * * * [misc]points:  Computing exacts on every 4 of 534 points to ramp up precision
1539795965.401 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.410 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.419 * * * * [misc]points:  Computing exacts on every 2 of 534 points to ramp up precision
1539795965.448 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.463 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.478 * * * * [misc]points:  Computing exacts for 534 points
1539795965.498 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.537 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.595 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795965.596 * * * * [misc]points:  Sampling 441 additional inputs, on iter 14 have 7559 / 8000
1539795965.600 * * * * [misc]points:  Computing exacts on every 27 of 441 points to ramp up precision
1539795965.620 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.622 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.623 * * * * [misc]points:  Computing exacts on every 13 of 441 points to ramp up precision
1539795965.644 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.647 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.651 * * * * [misc]points:  Computing exacts on every 6 of 441 points to ramp up precision
1539795965.684 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.689 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.696 * * * * [misc]points:  Computing exacts on every 3 of 441 points to ramp up precision
1539795965.718 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.728 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.738 * * * * [misc]points:  Computing exacts for 441 points
1539795965.769 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.804 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.828 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795965.828 * * * * [misc]points:  Sampling 367 additional inputs, on iter 15 have 7633 / 8000
1539795965.830 * * * * [misc]points:  Computing exacts on every 22 of 367 points to ramp up precision
1539795965.840 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.841 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.842 * * * * [misc]points:  Computing exacts on every 11 of 367 points to ramp up precision
1539795965.863 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.866 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.867 * * * * [misc]points:  Computing exacts on every 5 of 367 points to ramp up precision
1539795965.878 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.883 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.888 * * * * [misc]points:  Computing exacts on every 2 of 367 points to ramp up precision
1539795965.915 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.924 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.935 * * * * [misc]points:  Computing exacts for 367 points
1539795965.955 * * * * [misc]points:  Setting MPFR precision to 1088
1539795965.979 * * * * [misc]points:  Setting MPFR precision to 1344
1539795965.996 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795965.996 * * * * [misc]points:  Sampling 299 additional inputs, on iter 16 have 7701 / 8000
1539795965.998 * * * * [misc]points:  Computing exacts on every 18 of 299 points to ramp up precision
1539795966.021 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.022 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.023 * * * * [misc]points:  Computing exacts on every 9 of 299 points to ramp up precision
1539795966.034 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.036 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.038 * * * * [misc]points:  Computing exacts on every 4 of 299 points to ramp up precision
1539795966.062 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.065 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.067 * * * * [misc]points:  Computing exacts on every 2 of 299 points to ramp up precision
1539795966.077 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.081 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.086 * * * * [misc]points:  Computing exacts for 299 points
1539795966.112 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.129 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.142 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.142 * * * * [misc]points:  Sampling 244 additional inputs, on iter 17 have 7756 / 8000
1539795966.143 * * * * [misc]points:  Computing exacts on every 15 of 244 points to ramp up precision
1539795966.153 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.153 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.154 * * * * [misc]points:  Computing exacts on every 7 of 244 points to ramp up precision
1539795966.178 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.182 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.184 * * * * [misc]points:  Computing exacts on every 3 of 244 points to ramp up precision
1539795966.195 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.198 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.200 * * * * [misc]points:  Computing exacts for 244 points
1539795966.210 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.226 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.261 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.261 * * * * [misc]points:  Sampling 201 additional inputs, on iter 18 have 7799 / 8000
1539795966.263 * * * * [misc]points:  Computing exacts on every 12 of 201 points to ramp up precision
1539795966.284 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.285 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.286 * * * * [misc]points:  Computing exacts on every 6 of 201 points to ramp up precision
1539795966.298 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.300 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.301 * * * * [misc]points:  Computing exacts on every 3 of 201 points to ramp up precision
1539795966.319 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.323 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.328 * * * * [misc]points:  Computing exacts for 201 points
1539795966.347 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.360 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.369 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.369 * * * * [misc]points:  Sampling 162 additional inputs, on iter 19 have 7838 / 8000
1539795966.370 * * * * [misc]points:  Computing exacts on every 10 of 162 points to ramp up precision
1539795966.393 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.395 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.396 * * * * [misc]points:  Computing exacts on every 5 of 162 points to ramp up precision
1539795966.416 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.418 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.420 * * * * [misc]points:  Computing exacts on every 2 of 162 points to ramp up precision
1539795966.429 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.431 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.434 * * * * [misc]points:  Computing exacts for 162 points
1539795966.453 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.467 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.481 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.481 * * * * [misc]points:  Sampling 134 additional inputs, on iter 20 have 7866 / 8000
1539795966.483 * * * * [misc]points:  Computing exacts on every 8 of 134 points to ramp up precision
1539795966.502 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.504 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.505 * * * * [misc]points:  Computing exacts on every 4 of 134 points to ramp up precision
1539795966.534 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.537 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.539 * * * * [misc]points:  Computing exacts on every 2 of 134 points to ramp up precision
1539795966.555 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.558 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.560 * * * * [misc]points:  Computing exacts for 134 points
1539795966.572 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.579 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.590 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.591 * * * * [misc]points:  Sampling 113 additional inputs, on iter 21 have 7887 / 8000
1539795966.592 * * * * [misc]points:  Computing exacts on every 7 of 113 points to ramp up precision
1539795966.612 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.613 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.615 * * * * [misc]points:  Computing exacts on every 3 of 113 points to ramp up precision
1539795966.635 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.637 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.640 * * * * [misc]points:  Computing exacts for 113 points
1539795966.670 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.680 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.690 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.691 * * * * [misc]points:  Sampling 92 additional inputs, on iter 22 have 7908 / 8000
1539795966.691 * * * * [misc]points:  Computing exacts on every 5 of 92 points to ramp up precision
1539795966.711 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.713 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.715 * * * * [misc]points:  Computing exacts on every 2 of 92 points to ramp up precision
1539795966.739 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.740 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.742 * * * * [misc]points:  Computing exacts for 92 points
1539795966.752 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.756 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.761 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.761 * * * * [misc]points:  Sampling 74 additional inputs, on iter 23 have 7926 / 8000
1539795966.761 * * * * [misc]points:  Computing exacts on every 4 of 74 points to ramp up precision
1539795966.782 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.783 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.784 * * * * [misc]points:  Computing exacts on every 2 of 74 points to ramp up precision
1539795966.798 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.799 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.800 * * * * [misc]points:  Computing exacts for 74 points
1539795966.809 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.813 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.818 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.818 * * * * [misc]points:  Sampling 62 additional inputs, on iter 24 have 7938 / 8000
1539795966.819 * * * * [misc]points:  Computing exacts on every 3 of 62 points to ramp up precision
1539795966.848 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.850 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.851 * * * * [misc]points:  Computing exacts for 62 points
1539795966.872 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.877 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.882 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.883 * * * * [misc]points:  Sampling 51 additional inputs, on iter 25 have 7949 / 8000
1539795966.883 * * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
1539795966.908 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.910 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.911 * * * * [misc]points:  Computing exacts for 51 points
1539795966.932 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.937 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.942 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.943 * * * * [misc]points:  Sampling 35 additional inputs, on iter 26 have 7965 / 8000
1539795966.943 * * * * [misc]points:  Computing exacts on every 2 of 35 points to ramp up precision
1539795966.963 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.965 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.966 * * * * [misc]points:  Computing exacts for 35 points
1539795966.990 * * * * [misc]points:  Setting MPFR precision to 1088
1539795966.991 * * * * [misc]points:  Setting MPFR precision to 1344
1539795966.993 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795966.993 * * * * [misc]points:  Sampling 28 additional inputs, on iter 27 have 7972 / 8000
1539795966.993 * * * * [misc]points:  Computing exacts for 28 points
1539795967.003 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.004 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.006 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.006 * * * * [misc]points:  Sampling 21 additional inputs, on iter 28 have 7979 / 8000
1539795967.006 * * * * [misc]points:  Computing exacts for 21 points
1539795967.025 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.027 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.030 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.030 * * * * [misc]points:  Sampling 14 additional inputs, on iter 29 have 7986 / 8000
1539795967.030 * * * * [misc]points:  Computing exacts for 14 points
1539795967.047 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.048 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.049 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.049 * * * * [misc]points:  Sampling 13 additional inputs, on iter 30 have 7987 / 8000
1539795967.049 * * * * [misc]points:  Computing exacts for 13 points
1539795967.058 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.059 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.060 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.060 * * * * [misc]points:  Sampling 11 additional inputs, on iter 31 have 7989 / 8000
1539795967.060 * * * * [misc]points:  Computing exacts for 11 points
1539795967.073 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.074 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.074 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.075 * * * * [misc]points:  Sampling 11 additional inputs, on iter 32 have 7989 / 8000
1539795967.075 * * * * [misc]points:  Computing exacts for 11 points
1539795967.085 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.086 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.086 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.087 * * * * [misc]points:  Sampling 7 additional inputs, on iter 33 have 7993 / 8000
1539795967.087 * * * * [misc]points:  Computing exacts for 7 points
1539795967.100 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.100 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.100 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.101 * * * * [misc]points:  Sampling 5 additional inputs, on iter 34 have 7995 / 8000
1539795967.101 * * * * [misc]points:  Computing exacts for 5 points
1539795967.110 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.111 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.111 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.111 * * * * [misc]points:  Sampling 4 additional inputs, on iter 35 have 7997 / 8000
1539795967.111 * * * * [misc]points:  Computing exacts for 4 points
1539795967.126 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.127 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.128 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.128 * * * * [misc]points:  Sampling 4 additional inputs, on iter 36 have 7998 / 8000
1539795967.128 * * * * [misc]points:  Computing exacts for 4 points
1539795967.147 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.147 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.148 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.148 * * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7998 / 8000
1539795967.148 * * * * [misc]points:  Computing exacts for 4 points
1539795967.157 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.158 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.158 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.158 * * * * [misc]points:  Sampling 4 additional inputs, on iter 38 have 7999 / 8000
1539795967.158 * * * * [misc]points:  Computing exacts for 4 points
1539795967.167 * * * * [misc]points:  Setting MPFR precision to 1088
1539795967.168 * * * * [misc]points:  Setting MPFR precision to 1344
1539795967.168 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539795967.168 * * * * [exit]points:  Sampled 8000 points with exact outputs
1539795968.032 * [misc]regime-testing:  Baseline error score: 0.3554049122277118
1539795968.032 * [misc]regime-testing:  End program error score: 0.3554049122277118
1539795968.033 * [misc]regime-testing:  Oracle error score: 0.10550113991374435