1539790399.251 * [misc]progress:  [Phase 1 of 3] Setting up.
1539790399.251 * * * [misc]progress:  [1/2] Preparing points
1539790399.251 * * * * [misc]points:  Sampling 256 additional inputs, on iter 0 have 0 / 256
1539790399.253 * * * * [misc]points:  Computing exacts on every 16 of 256 points to ramp up precision
1539790399.258 * * * * [misc]points:  Setting MPFR precision to 64
1539790399.259 * * * * [misc]points:  Setting MPFR precision to 320
1539790399.260 * * * * [misc]points:  Setting MPFR precision to 576
1539790399.262 * * * * [misc]points:  Computing exacts on every 8 of 256 points to ramp up precision
1539790399.271 * * * * [misc]points:  Setting MPFR precision to 320
1539790399.279 * * * * [misc]points:  Setting MPFR precision to 576
1539790399.281 * * * * [misc]points:  Setting MPFR precision to 832
1539790399.282 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.285 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.287 * * * * [misc]points:  Computing exacts on every 4 of 256 points to ramp up precision
1539790399.305 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.310 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.315 * * * * [misc]points:  Computing exacts on every 2 of 256 points to ramp up precision
1539790399.334 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.342 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.349 * * * * [misc]points:  Computing exacts for 256 points
1539790399.378 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.400 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.422 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.422 * * * * [misc]points:  Sampling 212 additional inputs, on iter 1 have 44 / 256
1539790399.424 * * * * [misc]points:  Computing exacts on every 13 of 212 points to ramp up precision
1539790399.443 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.445 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.446 * * * * [misc]points:  Computing exacts on every 6 of 212 points to ramp up precision
1539790399.477 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.480 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.483 * * * * [misc]points:  Computing exacts on every 3 of 212 points to ramp up precision
1539790399.502 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.507 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.512 * * * * [misc]points:  Computing exacts for 212 points
1539790399.531 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.546 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.561 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.561 * * * * [misc]points:  Sampling 174 additional inputs, on iter 2 have 82 / 256
1539790399.562 * * * * [misc]points:  Computing exacts on every 10 of 174 points to ramp up precision
1539790399.571 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.572 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.573 * * * * [misc]points:  Computing exacts on every 5 of 174 points to ramp up precision
1539790399.582 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.583 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.584 * * * * [misc]points:  Computing exacts on every 2 of 174 points to ramp up precision
1539790399.597 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.600 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.603 * * * * [misc]points:  Computing exacts for 174 points
1539790399.618 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.633 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.649 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.649 * * * * [misc]points:  Sampling 133 additional inputs, on iter 3 have 123 / 256
1539790399.650 * * * * [misc]points:  Computing exacts on every 8 of 133 points to ramp up precision
1539790399.674 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.675 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.676 * * * * [misc]points:  Computing exacts on every 4 of 133 points to ramp up precision
1539790399.685 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.687 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.688 * * * * [misc]points:  Computing exacts on every 2 of 133 points to ramp up precision
1539790399.698 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.701 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.705 * * * * [misc]points:  Computing exacts for 133 points
1539790399.730 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.741 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.750 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.750 * * * * [misc]points:  Sampling 106 additional inputs, on iter 4 have 150 / 256
1539790399.750 * * * * [misc]points:  Computing exacts on every 6 of 106 points to ramp up precision
1539790399.759 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.760 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.761 * * * * [misc]points:  Computing exacts on every 3 of 106 points to ramp up precision
1539790399.770 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.776 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.777 * * * * [misc]points:  Computing exacts for 106 points
1539790399.786 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.791 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.796 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.797 * * * * [misc]points:  Sampling 82 additional inputs, on iter 5 have 174 / 256
1539790399.797 * * * * [misc]points:  Computing exacts on every 5 of 82 points to ramp up precision
1539790399.806 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.807 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.807 * * * * [misc]points:  Computing exacts on every 2 of 82 points to ramp up precision
1539790399.829 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.832 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.834 * * * * [misc]points:  Computing exacts for 82 points
1539790399.853 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.860 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.867 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.868 * * * * [misc]points:  Sampling 65 additional inputs, on iter 6 have 191 / 256
1539790399.868 * * * * [misc]points:  Computing exacts on every 4 of 65 points to ramp up precision
1539790399.887 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.888 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.890 * * * * [misc]points:  Computing exacts on every 2 of 65 points to ramp up precision
1539790399.915 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.917 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.919 * * * * [misc]points:  Computing exacts for 65 points
1539790399.928 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.931 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.934 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.934 * * * * [misc]points:  Sampling 51 additional inputs, on iter 7 have 205 / 256
1539790399.935 * * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
1539790399.947 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.947 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.948 * * * * [misc]points:  Computing exacts for 51 points
1539790399.957 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.959 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.962 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.962 * * * * [misc]points:  Sampling 42 additional inputs, on iter 8 have 214 / 256
1539790399.962 * * * * [misc]points:  Computing exacts on every 2 of 42 points to ramp up precision
1539790399.971 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.972 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.972 * * * * [misc]points:  Computing exacts for 42 points
1539790399.991 * * * * [misc]points:  Setting MPFR precision to 1088
1539790399.995 * * * * [misc]points:  Setting MPFR precision to 1344
1539790399.999 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790399.999 * * * * [misc]points:  Sampling 30 additional inputs, on iter 9 have 226 / 256
1539790399.999 * * * * [misc]points:  Computing exacts for 30 points
1539790400.019 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.021 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.024 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.024 * * * * [misc]points:  Sampling 23 additional inputs, on iter 10 have 233 / 256
1539790400.024 * * * * [misc]points:  Computing exacts for 23 points
1539790400.033 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.034 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.035 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.035 * * * * [misc]points:  Sampling 20 additional inputs, on iter 11 have 236 / 256
1539790400.035 * * * * [misc]points:  Computing exacts for 20 points
1539790400.048 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.049 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.049 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.049 * * * * [misc]points:  Sampling 17 additional inputs, on iter 12 have 239 / 256
1539790400.050 * * * * [misc]points:  Computing exacts for 17 points
1539790400.059 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.059 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.060 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.060 * * * * [misc]points:  Sampling 17 additional inputs, on iter 13 have 239 / 256
1539790400.060 * * * * [misc]points:  Computing exacts for 17 points
1539790400.072 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.073 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.074 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.074 * * * * [misc]points:  Sampling 15 additional inputs, on iter 14 have 241 / 256
1539790400.074 * * * * [misc]points:  Computing exacts for 15 points
1539790400.083 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.085 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.086 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.086 * * * * [misc]points:  Sampling 11 additional inputs, on iter 15 have 245 / 256
1539790400.086 * * * * [misc]points:  Computing exacts for 11 points
1539790400.105 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.106 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.107 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.107 * * * * [misc]points:  Sampling 9 additional inputs, on iter 16 have 247 / 256
1539790400.107 * * * * [misc]points:  Computing exacts for 9 points
1539790400.131 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.132 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.132 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.132 * * * * [misc]points:  Sampling 9 additional inputs, on iter 17 have 247 / 256
1539790400.133 * * * * [misc]points:  Computing exacts for 9 points
1539790400.151 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.152 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.153 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.153 * * * * [misc]points:  Sampling 7 additional inputs, on iter 18 have 249 / 256
1539790400.153 * * * * [misc]points:  Computing exacts for 7 points
1539790400.165 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.166 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.166 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.166 * * * * [misc]points:  Sampling 6 additional inputs, on iter 19 have 250 / 256
1539790400.166 * * * * [misc]points:  Computing exacts for 6 points
1539790400.178 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.179 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.179 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.179 * * * * [misc]points:  Sampling 4 additional inputs, on iter 20 have 252 / 256
1539790400.179 * * * * [misc]points:  Computing exacts for 4 points
1539790400.194 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.194 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.195 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.195 * * * * [misc]points:  Sampling 4 additional inputs, on iter 21 have 253 / 256
1539790400.195 * * * * [misc]points:  Computing exacts for 4 points
1539790400.217 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.218 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.218 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.219 * * * * [misc]points:  Sampling 4 additional inputs, on iter 22 have 253 / 256
1539790400.219 * * * * [misc]points:  Computing exacts for 4 points
1539790400.242 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.243 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.243 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.243 * * * * [misc]points:  Sampling 4 additional inputs, on iter 23 have 255 / 256
1539790400.243 * * * * [misc]points:  Computing exacts for 4 points
1539790400.262 * * * * [misc]points:  Setting MPFR precision to 1088
1539790400.262 * * * * [misc]points:  Setting MPFR precision to 1344
1539790400.263 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790400.263 * * * * [exit]points:  Sampled 256 points with exact outputs
1539790400.263 * * * [misc]progress:  [2/2] Setting up program.
1539790400.269 * [misc]progress:  [Phase 2 of 3] Improving.
1539790400.269 * [enter]simplify:  Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2)))
1539790400.270 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790400.275 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790400.283 * * [misc]simplify:  iters left: 4 (44 enodes)
1539790400.296 * * [misc]simplify:  iters left: 3 (54 enodes)
1539790400.310 * * [misc]simplify:  iters left: 2 (57 enodes)
1539790400.316 * * [misc]simplify:  iters left: 1 (65 enodes)
1539790400.324 * [exit]simplify:  Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539790400.330 * * [misc]progress:  iteration 1 / 4
1539790400.330 * * * [misc]progress:  picking best candidate
1539790400.336 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))>
1539790400.336 * * * [misc]progress:  localizing error
1539790400.382 * * * [misc]progress:  generating rewritten candidates
1539790400.382 * * * * [misc]progress:  [ 1 / 3 ] rewriting at (2 1)
1539790400.385 * * * * [misc]progress:  [ 2 / 3 ] rewriting at (2 1 1)
1539790400.388 * * * * [misc]progress:  [ 3 / 3 ] rewriting at (2)
1539790400.394 * * * [misc]progress:  generating series expansions
1539790400.395 * * * * [misc]progress:  [ 1 / 3 ] generating series at (2 1)
1539790400.395 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))
1539790400.395 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0
1539790400.395 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.395 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.395 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.395 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.395 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.395 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.395 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.395 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.395 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.395 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790400.395 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.395 * [misc]backup-simplify:  Simplify n into n
1539790400.395 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.395 * [misc]backup-simplify:  Simplify PI into PI
1539790400.395 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790400.395 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539790400.395 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539790400.396 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790400.396 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.396 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.396 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539790400.396 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539790400.396 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539790400.396 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790400.396 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790400.396 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539790400.396 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.396 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.397 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790400.397 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.397 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.397 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.397 * [misc]backup-simplify:  Simplify k into k
1539790400.397 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790400.397 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.397 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.397 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.397 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.397 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.397 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.397 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.397 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.397 * [misc]backup-simplify:  Simplify PI into PI
1539790400.397 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790400.397 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790400.398 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790400.398 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790400.398 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.398 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790400.398 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790400.398 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539790400.399 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.399 * [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))))
1539790400.400 * [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)))))
1539790400.400 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.400 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.400 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.400 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.400 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.400 * [misc]backup-simplify:  Simplify k into k
1539790400.400 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.400 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.400 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.400 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.400 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.400 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.400 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.400 * [misc]backup-simplify:  Simplify PI into PI
1539790400.400 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790400.400 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790400.401 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790400.401 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790400.401 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.401 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790400.402 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790400.402 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539790400.402 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.402 * [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))))
1539790400.403 * [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)))))
1539790400.403 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.403 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.403 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.403 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.403 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.403 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.403 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.403 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.403 * [misc]backup-simplify:  Simplify n into n
1539790400.403 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.403 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790400.403 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.403 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.403 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.403 * [misc]backup-simplify:  Simplify PI into PI
1539790400.404 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.404 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.404 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790400.404 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.405 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.405 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.405 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790400.406 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790400.407 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790400.414 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790400.415 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790400.418 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.418 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539790400.419 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.419 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.419 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.420 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790400.422 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.422 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.422 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.422 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.423 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790400.423 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790400.426 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.426 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.426 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539790400.427 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.427 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.427 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539790400.429 * [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)))))))
1539790400.430 * [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)))))))
1539790400.433 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.434 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790400.439 * [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
1539790400.439 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539790400.440 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.440 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.440 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.441 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790400.443 * [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
1539790400.444 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.444 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.444 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.444 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.445 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539790400.446 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.451 * [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
1539790400.452 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.452 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539790400.452 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.452 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.453 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790400.455 * [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)))))
1539790400.458 * [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)))))
1539790400.463 * [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)))))
1539790400.463 * [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))))
1539790400.463 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0
1539790400.463 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539790400.463 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539790400.463 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539790400.463 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539790400.463 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.463 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.463 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.463 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.463 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.463 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.464 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.464 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.464 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.464 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.464 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539790400.464 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539790400.464 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.464 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.464 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790400.464 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.464 * [misc]backup-simplify:  Simplify PI into PI
1539790400.464 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.464 * [misc]backup-simplify:  Simplify n into n
1539790400.464 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790400.464 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539790400.464 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539790400.464 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.465 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.465 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.465 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539790400.465 * [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))))
1539790400.465 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.465 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.465 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.465 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.465 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.465 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.466 * [misc]backup-simplify:  Simplify k into k
1539790400.466 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.466 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790400.466 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.466 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.466 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.466 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.466 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.466 * [misc]backup-simplify:  Simplify PI into PI
1539790400.466 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.466 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.466 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.466 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.467 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.467 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.467 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.467 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790400.467 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539790400.468 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.469 * [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)))
1539790400.469 * [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))))
1539790400.469 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539790400.469 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790400.469 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790400.469 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539790400.469 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.469 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.469 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.469 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.469 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.470 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.470 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.470 * [misc]backup-simplify:  Simplify k into k
1539790400.470 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.470 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790400.470 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.470 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.470 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.470 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.470 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.470 * [misc]backup-simplify:  Simplify PI into PI
1539790400.470 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.470 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.470 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.470 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.470 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.471 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.471 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.471 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790400.471 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539790400.472 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.472 * [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)))
1539790400.473 * [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))))
1539790400.473 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539790400.473 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539790400.473 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539790400.473 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.473 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.473 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.473 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.473 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.473 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.473 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.474 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.474 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.474 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.474 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790400.474 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790400.474 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790400.474 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.474 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.474 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.474 * [misc]backup-simplify:  Simplify PI into PI
1539790400.474 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.475 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.475 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.475 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.475 * [misc]backup-simplify:  Simplify n into n
1539790400.475 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.475 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.475 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.475 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.475 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790400.476 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790400.476 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790400.477 * [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))))
1539790400.478 * [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))))
1539790400.479 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.480 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790400.482 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.482 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.483 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790400.483 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.483 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.484 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.484 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790400.486 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.486 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.486 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.486 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.486 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.487 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.488 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.493 * [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
1539790400.493 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.494 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790400.494 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.494 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.495 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.496 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790400.498 * [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
1539790400.498 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.498 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.498 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.498 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.499 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.501 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.502 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.510 * [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
1539790400.510 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.511 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539790400.511 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.511 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.512 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.513 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790400.516 * [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
1539790400.517 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.517 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.517 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.518 * [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)))))
1539790400.518 * [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))
1539790400.518 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0
1539790400.518 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.518 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.518 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.518 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.518 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.518 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.518 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.518 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.518 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.518 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539790400.519 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539790400.519 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790400.519 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.519 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790400.519 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.519 * [misc]backup-simplify:  Simplify PI into PI
1539790400.519 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.519 * [misc]backup-simplify:  Simplify n into n
1539790400.519 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790400.519 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539790400.519 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539790400.519 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.519 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.519 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539790400.520 * [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)))
1539790400.520 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.520 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.520 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.520 * [misc]backup-simplify:  Simplify k into k
1539790400.520 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.520 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.520 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.520 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.520 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.520 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.520 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.520 * [misc]backup-simplify:  Simplify PI into PI
1539790400.520 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.520 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.520 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.521 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.521 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.521 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.522 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.522 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539790400.522 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.523 * [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)))
1539790400.524 * [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))))
1539790400.524 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.524 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.524 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.524 * [misc]backup-simplify:  Simplify k into k
1539790400.524 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.524 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.524 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.524 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.524 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.524 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.524 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.524 * [misc]backup-simplify:  Simplify PI into PI
1539790400.524 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.524 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.524 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.525 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.525 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.525 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.525 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.525 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539790400.526 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.527 * [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)))
1539790400.527 * [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))))
1539790400.528 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.528 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.528 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.528 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.528 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.528 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.528 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.528 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.528 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790400.528 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790400.528 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.528 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.528 * [misc]backup-simplify:  Simplify PI into PI
1539790400.529 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.529 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.529 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.529 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.529 * [misc]backup-simplify:  Simplify n into n
1539790400.529 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.529 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.529 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.530 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790400.530 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790400.531 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790400.531 * [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))))
1539790400.532 * [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))))
1539790400.533 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.534 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790400.536 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790400.537 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.537 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790400.537 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.538 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.538 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790400.540 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.540 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.540 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.540 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.540 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.541 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.541 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.544 * [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
1539790400.544 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.544 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790400.545 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.545 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.546 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539790400.547 * [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
1539790400.547 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.547 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.547 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.547 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.547 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.548 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.549 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.554 * [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
1539790400.554 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.554 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539790400.554 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.555 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.555 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539790400.558 * [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
1539790400.558 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.558 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.558 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.558 * [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)))))
1539790400.558 * * * * [misc]progress:  [ 2 / 3 ] generating series at (2 1 1)
1539790400.558 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539790400.558 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790400.558 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.558 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.558 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.558 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.558 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.558 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.558 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.558 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.558 * [misc]backup-simplify:  Simplify PI into PI
1539790400.558 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.558 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.558 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.559 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.559 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.559 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.559 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.559 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.559 * [misc]backup-simplify:  Simplify PI into PI
1539790400.559 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790400.559 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790400.559 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.559 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790400.560 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790400.560 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.561 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790400.561 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790400.561 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.562 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.563 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790400.563 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.566 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790400.567 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790400.567 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.569 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790400.570 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790400.570 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.573 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790400.576 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790400.576 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.581 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790400.585 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790400.585 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.585 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790400.585 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539790400.585 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790400.585 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.585 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.585 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.585 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.585 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.585 * [misc]backup-simplify:  Simplify PI into PI
1539790400.585 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.585 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.585 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.586 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.586 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.586 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.586 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.586 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.586 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.586 * [misc]backup-simplify:  Simplify PI into PI
1539790400.586 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.586 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.586 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.586 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.587 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.587 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.588 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.589 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790400.589 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.590 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.591 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.591 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.593 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.594 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.594 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.596 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.598 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790400.598 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.601 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.604 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790400.604 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.606 * [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
1539790400.610 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790400.610 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.610 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790400.610 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539790400.610 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790400.610 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.610 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.610 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.610 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.610 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.611 * [misc]backup-simplify:  Simplify PI into PI
1539790400.611 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.611 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.611 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.611 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.611 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.611 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.611 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.611 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.611 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.611 * [misc]backup-simplify:  Simplify PI into PI
1539790400.611 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.611 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.611 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.611 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.612 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.612 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.613 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.614 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790400.614 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.615 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.616 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.616 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.618 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.619 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.619 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.621 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.623 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790400.623 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.626 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.628 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790400.628 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.631 * [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
1539790400.634 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790400.634 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.634 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790400.634 * * * * [misc]progress:  [ 3 / 3 ] generating series at (2)
1539790400.635 * [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))))
1539790400.635 * [misc]approximate:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0
1539790400.635 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k
1539790400.635 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539790400.635 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.635 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.635 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.635 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.635 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.635 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.636 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539790400.636 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.636 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.636 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.636 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.636 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.636 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.636 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.636 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.636 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.636 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790400.636 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.637 * [misc]backup-simplify:  Simplify n into n
1539790400.637 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.637 * [misc]backup-simplify:  Simplify PI into PI
1539790400.637 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790400.637 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539790400.637 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539790400.637 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790400.637 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.637 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.637 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI))))
1539790400.638 * [misc]backup-simplify:  Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2)
1539790400.638 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.638 * [misc]backup-simplify:  Simplify k into k
1539790400.638 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.638 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539790400.638 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.638 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539790400.638 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.638 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.638 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.638 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.638 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.638 * [misc]backup-simplify:  Simplify k into k
1539790400.638 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790400.638 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.639 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.639 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.639 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.639 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.639 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.639 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.639 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.639 * [misc]backup-simplify:  Simplify PI into PI
1539790400.639 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790400.639 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790400.640 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790400.640 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790400.641 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.641 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790400.641 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790400.641 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539790400.642 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.642 * [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))))
1539790400.643 * [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)))))
1539790400.643 * [misc]taylor:  Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n
1539790400.643 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in n
1539790400.643 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.643 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.643 * [misc]backup-simplify:  Simplify k into k
1539790400.643 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.643 * [misc]backup-simplify:  Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k))
1539790400.643 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.644 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0
1539790400.644 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.644 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.644 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.644 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.644 * [misc]backup-simplify:  Simplify k into k
1539790400.644 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.644 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.644 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790400.644 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.644 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.644 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.644 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.644 * [misc]backup-simplify:  Simplify PI into PI
1539790400.644 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790400.645 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790400.645 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790400.646 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790400.646 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.646 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790400.647 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790400.647 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k))
1539790400.647 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.648 * [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))))
1539790400.649 * [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)))))
1539790400.649 * [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)))
1539790400.649 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k
1539790400.649 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k
1539790400.649 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k
1539790400.649 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 k)) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.650 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.650 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.650 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.650 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.650 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.650 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.650 * [misc]backup-simplify:  Simplify n into n
1539790400.650 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.650 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790400.650 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.650 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.650 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.650 * [misc]backup-simplify:  Simplify PI into PI
1539790400.650 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.651 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.651 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790400.651 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.651 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.652 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.652 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790400.653 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790400.653 * [misc]taylor:  Taking taylor expansion of (sqrt (/ 1 k)) in k
1539790400.653 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.653 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.653 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.653 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.653 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.653 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.654 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539790400.654 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0
1539790400.654 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.656 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790400.656 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790400.658 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.658 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539790400.658 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.658 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.659 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.659 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790400.660 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.660 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0
1539790400.660 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.660 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.661 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790400.661 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790400.663 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.663 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.663 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539790400.663 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.663 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.664 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n))))
1539790400.665 * [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)))))))
1539790400.666 * [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)))))))
1539790400.666 * [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)))))))
1539790400.668 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.668 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790400.671 * [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
1539790400.672 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539790400.672 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.672 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.672 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.673 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790400.674 * [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
1539790400.674 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.675 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0
1539790400.675 * [misc]backup-simplify:  Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0
1539790400.675 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.675 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.675 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.675 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)))) into 0
1539790400.676 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790400.677 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539790400.678 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.681 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0
1539790400.681 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.681 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1539790400.681 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.681 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.682 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790400.683 * [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)))))
1539790400.686 * [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))))))))
1539790400.687 * [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))))))))
1539790400.689 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790400.690 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790400.698 * [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
1539790400.698 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539790400.698 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.699 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.699 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790400.700 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539790400.704 * [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
1539790400.704 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.704 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0
1539790400.705 * [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
1539790400.705 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.705 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.705 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.705 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.706 * [misc]backup-simplify:  Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.707 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539790400.709 * [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
1539790400.711 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.719 * [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
1539790400.719 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.720 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539790400.720 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.720 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.721 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539790400.724 * [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)))))))
1539790400.733 * [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))))))))))))))
1539790400.739 * [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))))))))))))))
1539790400.750 * [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))))))))))))))))))))))
1539790400.751 * [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)))))
1539790400.751 * [misc]approximate:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0
1539790400.751 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k
1539790400.751 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539790400.751 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.751 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.751 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.751 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.752 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539790400.752 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.752 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.752 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.752 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.752 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.752 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.752 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.752 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.752 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.752 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.752 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790400.752 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.752 * [misc]backup-simplify:  Simplify PI into PI
1539790400.752 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.752 * [misc]backup-simplify:  Simplify n into n
1539790400.752 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790400.752 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539790400.753 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539790400.753 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.753 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.753 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.753 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539790400.753 * [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))))
1539790400.753 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539790400.753 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539790400.753 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.753 * [misc]backup-simplify:  Simplify k into k
1539790400.754 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539790400.754 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539790400.754 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.754 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.754 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.754 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.754 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.754 * [misc]backup-simplify:  Simplify k into k
1539790400.754 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.754 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.754 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.754 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.754 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.754 * [misc]backup-simplify:  Simplify PI into PI
1539790400.754 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.754 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.754 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.755 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.755 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.755 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.755 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.755 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790400.756 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539790400.756 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.757 * [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)))
1539790400.757 * [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))))
1539790400.758 * [misc]taylor:  Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of (sqrt k) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.758 * [misc]backup-simplify:  Simplify k into k
1539790400.758 * [misc]backup-simplify:  Simplify (sqrt k) into (sqrt k)
1539790400.758 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt k))) into 0
1539790400.758 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.758 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.758 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.758 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.758 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.758 * [misc]backup-simplify:  Simplify k into k
1539790400.758 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.758 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790400.758 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.758 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.758 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.758 * [misc]backup-simplify:  Simplify PI into PI
1539790400.758 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.758 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.758 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.759 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.759 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.759 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.759 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.760 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790400.760 * [misc]backup-simplify:  Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k)))
1539790400.760 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.761 * [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)))
1539790400.761 * [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))))
1539790400.762 * [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))
1539790400.762 * [misc]taylor:  Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k
1539790400.762 * [misc]taylor:  Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k
1539790400.762 * [misc]taylor:  Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k
1539790400.762 * [misc]taylor:  Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k
1539790400.762 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.762 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.762 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.762 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.763 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.763 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.763 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.763 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.763 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.763 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.763 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790400.763 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790400.763 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790400.763 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790400.763 * [misc]backup-simplify:  Simplify 2 into 2
1539790400.763 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.763 * [misc]backup-simplify:  Simplify PI into PI
1539790400.763 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790400.764 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790400.764 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.764 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.764 * [misc]backup-simplify:  Simplify n into n
1539790400.764 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.764 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.764 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790400.764 * [misc]backup-simplify:  Simplify (+ 0 -1/2) into -1/2
1539790400.765 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790400.765 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790400.766 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790400.766 * [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))))
1539790400.766 * [misc]taylor:  Taking taylor expansion of (sqrt k) in k
1539790400.766 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.766 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.767 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.767 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.767 * [misc]backup-simplify:  Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
1539790400.768 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0
1539790400.768 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.769 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.770 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790400.772 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790400.772 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.773 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790400.773 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.773 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.774 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.774 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790400.776 * [misc]backup-simplify:  Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.776 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0
1539790400.776 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.776 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.776 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.777 * [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))))))
1539790400.778 * [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))))))
1539790400.779 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.780 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.784 * [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
1539790400.784 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.785 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790400.785 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.785 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.785 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.786 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790400.787 * [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
1539790400.788 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0
1539790400.788 * [misc]backup-simplify:  Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0
1539790400.788 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.788 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.788 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.788 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.789 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790400.790 * [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))))))
1539790400.790 * [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))))))
1539790400.791 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.792 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790400.797 * [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
1539790400.797 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.797 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539790400.798 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790400.798 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.798 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790400.799 * [misc]backup-simplify:  Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790400.801 * [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
1539790400.801 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0
1539790400.802 * [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
1539790400.802 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.802 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.802 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.802 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.802 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.803 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539790400.803 * [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))))))
1539790400.804 * [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))))))
1539790400.805 * [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))))))))
1539790400.805 * [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)))
1539790400.805 * [misc]approximate:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0
1539790400.806 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.806 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.806 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.806 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.806 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.806 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.806 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.806 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.806 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790400.806 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.806 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790400.806 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.806 * [misc]backup-simplify:  Simplify PI into PI
1539790400.806 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.806 * [misc]backup-simplify:  Simplify n into n
1539790400.806 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790400.806 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539790400.806 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539790400.806 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.806 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.806 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539790400.807 * [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)))
1539790400.807 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790400.807 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790400.807 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790400.807 * [misc]backup-simplify:  Simplify -1 into -1
1539790400.807 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.807 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.807 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.807 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790400.807 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.807 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790400.807 * [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))))
1539790400.808 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.808 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.808 * [misc]backup-simplify:  Simplify k into k
1539790400.808 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.808 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.808 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.808 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.808 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.808 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.808 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.808 * [misc]backup-simplify:  Simplify PI into PI
1539790400.808 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.808 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.808 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.808 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.808 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.809 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.809 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.809 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539790400.809 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.809 * [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)))
1539790400.810 * [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))))
1539790400.810 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790400.810 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790400.810 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790400.810 * [misc]backup-simplify:  Simplify -1 into -1
1539790400.810 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.810 * [misc]backup-simplify:  Simplify k into k
1539790400.810 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790400.810 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790400.810 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790400.810 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790400.811 * [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)))
1539790400.811 * [misc]taylor:  Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.811 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.811 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.811 * [misc]backup-simplify:  Simplify k into k
1539790400.811 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790400.811 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790400.811 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.811 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790400.811 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.811 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790400.811 * [misc]taylor:  Taking taylor expansion of PI in n
1539790400.811 * [misc]backup-simplify:  Simplify PI into PI
1539790400.811 * [misc]taylor:  Taking taylor expansion of n in n
1539790400.811 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.811 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.811 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790400.811 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.812 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.812 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790400.812 * [misc]backup-simplify:  Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2)
1539790400.812 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.813 * [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)))
1539790400.813 * [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))))
1539790400.813 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790400.813 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790400.813 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790400.813 * [misc]backup-simplify:  Simplify -1 into -1
1539790400.813 * [misc]taylor:  Taking taylor expansion of k in n
1539790400.813 * [misc]backup-simplify:  Simplify k into k
1539790400.813 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790400.813 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790400.813 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790400.813 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790400.814 * [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)))
1539790400.814 * [misc]taylor:  Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.814 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.814 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.814 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.814 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.814 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790400.814 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790400.814 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790400.814 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790400.814 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790400.814 * [misc]backup-simplify:  Simplify -2 into -2
1539790400.814 * [misc]taylor:  Taking taylor expansion of PI in k
1539790400.814 * [misc]backup-simplify:  Simplify PI into PI
1539790400.814 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790400.815 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790400.815 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790400.815 * [misc]taylor:  Taking taylor expansion of n in k
1539790400.815 * [misc]backup-simplify:  Simplify n into n
1539790400.815 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790400.815 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790400.815 * [misc]backup-simplify:  Simplify (+ 1/2 0) into 1/2
1539790400.815 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790400.816 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790400.816 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790400.816 * [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))))
1539790400.816 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790400.816 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790400.816 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790400.816 * [misc]backup-simplify:  Simplify -1 into -1
1539790400.816 * [misc]taylor:  Taking taylor expansion of k in k
1539790400.816 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.816 * [misc]backup-simplify:  Simplify 1 into 1
1539790400.817 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790400.817 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790400.817 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790400.817 * [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)))))
1539790400.818 * [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)))))
1539790400.819 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790400.819 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790400.821 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790400.821 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790400.821 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790400.821 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.821 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.822 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790400.823 * [misc]backup-simplify:  Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790400.823 * [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
1539790400.823 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.823 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.823 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.823 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539790400.824 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790400.825 * [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))))))
1539790400.825 * [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))))))
1539790400.826 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.827 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790400.830 * [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
1539790400.831 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.831 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790400.831 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790400.832 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790400.832 * [misc]backup-simplify:  Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539790400.834 * [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
1539790400.834 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790400.834 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0
1539790400.835 * [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
1539790400.835 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790400.835 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.835 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.835 * [misc]backup-simplify:  Simplify 0 into 0
1539790400.835 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790400.836 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0
1539790400.837 * [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))))))
1539790400.837 * [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))))))
1539790400.839 * [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)))))))))))
1539790400.839 * * * [misc]progress:  simplifying candidates
1539790400.839 * * * * [misc]progress:  [ 1 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539790400.839 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))
1539790400.839 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790400.841 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790400.845 * * [misc]simplify:  iters left: 4 (47 enodes)
1539790400.859 * * [misc]simplify:  iters left: 3 (109 enodes)
1539790400.896 * * [misc]simplify:  iters left: 2 (300 enodes)
1539790401.087 * [exit]simplify:  Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))
1539790401.087 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k)))
1539790401.087 * * * * [misc]progress:  [ 2 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) (sqrt k)))>
1539790401.087 * * * * [misc]progress:  [ 3 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))>
1539790401.088 * [enter]simplify:  Simplifying (* PI (* n 2))
1539790401.088 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790401.089 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790401.090 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790401.092 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790401.094 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539790401.094 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k)))
1539790401.094 * * * * [misc]progress:  [ 4 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790401.094 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (/ k 2))
1539790401.094 * * [misc]simplify:  iters left: 5 (8 enodes)
1539790401.096 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790401.097 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790401.100 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790401.103 * [exit]simplify:  Simplified to (pow (* (* 2 n) PI) (/ k 2))
1539790401.103 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539790401.103 * * * * [misc]progress:  [ 5 / 77 ] 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)))>
1539790401.103 * [enter]simplify:  Simplifying (cbrt (- 1/2 (/ k 2)))
1539790401.103 * * [misc]simplify:  iters left: 5 (6 enodes)
1539790401.104 * * [misc]simplify:  iters left: 4 (8 enodes)
1539790401.107 * * [misc]simplify:  iters left: 3 (11 enodes)
1539790401.110 * [exit]simplify:  Simplified to (cbrt (- 1/2 (/ k 2)))
1539790401.110 * [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)))
1539790401.110 * * * * [misc]progress:  [ 6 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (sqrt k)))>
1539790401.110 * [enter]simplify:  Simplifying (sqrt (- 1/2 (/ k 2)))
1539790401.110 * * [misc]simplify:  iters left: 5 (6 enodes)
1539790401.112 * * [misc]simplify:  iters left: 4 (8 enodes)
1539790401.114 * * [misc]simplify:  iters left: 3 (11 enodes)
1539790401.117 * [exit]simplify:  Simplified to (sqrt (- 1/2 (/ k 2)))
1539790401.118 * [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)))
1539790401.118 * * * * [misc]progress:  [ 7 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.118 * [enter]simplify:  Simplifying (- 1/2 (/ k 2))
1539790401.118 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790401.119 * * [misc]simplify:  iters left: 3 (7 enodes)
1539790401.121 * * [misc]simplify:  iters left: 2 (10 enodes)
1539790401.124 * [exit]simplify:  Simplified to (- 1/2 (/ k 2))
1539790401.124 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))
1539790401.124 * * * * [misc]progress:  [ 8 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790401.124 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539790401.125 * * [misc]simplify:  iters left: 5 (9 enodes)
1539790401.127 * * [misc]simplify:  iters left: 4 (15 enodes)
1539790401.132 * * [misc]simplify:  iters left: 3 (21 enodes)
1539790401.138 * * [misc]simplify:  iters left: 2 (22 enodes)
1539790401.143 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539790401.143 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539790401.143 * * * * [misc]progress:  [ 9 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790401.143 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) (- (/ k 2)))
1539790401.144 * * [misc]simplify:  iters left: 5 (9 enodes)
1539790401.146 * * [misc]simplify:  iters left: 4 (15 enodes)
1539790401.150 * * [misc]simplify:  iters left: 3 (21 enodes)
1539790401.156 * * [misc]simplify:  iters left: 2 (22 enodes)
1539790401.161 * [exit]simplify:  Simplified to (pow (* (* PI n) 2) (- (/ k 2)))
1539790401.161 * [misc]simplify:  Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))
1539790401.161 * * * * [misc]progress:  [ 10 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt k)))>
1539790401.162 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539790401.162 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790401.164 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790401.167 * * [misc]simplify:  iters left: 3 (12 enodes)
1539790401.170 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539790401.170 * [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)))
1539790401.170 * * * * [misc]progress:  [ 11 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 12 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 13 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (log (exp (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 14 / 77 ] 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)))>
1539790401.170 * * * * [misc]progress:  [ 15 / 77 ] 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)))>
1539790401.170 * * * * [misc]progress:  [ 16 / 77 ] 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)))>
1539790401.170 * * * * [misc]progress:  [ 17 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (* 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 18 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 19 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (exp (log (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 20 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (log (exp (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.170 * * * * [misc]progress:  [ 21 / 77 ] 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)))>
1539790401.171 * * * * [misc]progress:  [ 22 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (cbrt (* (* (* PI (* n 2)) (* PI (* n 2))) (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.171 * * * * [misc]progress:  [ 23 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (sqrt (* PI (* n 2))) (sqrt (* PI (* n 2)))) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.171 * * * * [misc]progress:  [ 24 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 1 (* PI (* n 2))) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.171 * * * * [misc]progress:  [ 25 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.171 * * * * [misc]progress:  [ 26 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* (* n 2) PI) (- 1/2 (/ k 2))) (sqrt k)))>
1539790401.171 * * * * [misc]progress:  [ 27 / 77 ] simplifiying candidate #<alt (λ (k n) (pow (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1))>
1539790401.171 * * * * [misc]progress:  [ 28 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539790401.171 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790401.171 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790401.175 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790401.182 * * [misc]simplify:  iters left: 4 (53 enodes)
1539790401.193 * * [misc]simplify:  iters left: 3 (137 enodes)
1539790401.274 * * [misc]simplify:  iters left: 2 (487 enodes)
1539790401.839 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790401.839 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790401.839 * * * * [misc]progress:  [ 29 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))))>
1539790401.839 * [enter]simplify:  Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790401.839 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790401.844 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790401.849 * * [misc]simplify:  iters left: 4 (53 enodes)
1539790401.860 * * [misc]simplify:  iters left: 3 (137 enodes)
1539790401.913 * * [misc]simplify:  iters left: 2 (487 enodes)
1539790402.408 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790402.408 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790402.408 * * * * [misc]progress:  [ 30 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))))>
1539790402.408 * [enter]simplify:  Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k)))
1539790402.408 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790402.411 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790402.415 * * [misc]simplify:  iters left: 4 (42 enodes)
1539790402.422 * * [misc]simplify:  iters left: 3 (71 enodes)
1539790402.454 * * [misc]simplify:  iters left: 2 (208 enodes)
1539790402.646 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790402.646 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790402.646 * * * * [misc]progress:  [ 31 / 77 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539790402.647 * * * * [misc]progress:  [ 32 / 77 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))))>
1539790402.647 * * * * [misc]progress:  [ 33 / 77 ] 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)))))>
1539790402.649 * [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)))
1539790402.649 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790402.652 * * [misc]simplify:  iters left: 5 (31 enodes)
1539790402.657 * * [misc]simplify:  iters left: 4 (67 enodes)
1539790402.671 * * [misc]simplify:  iters left: 3 (124 enodes)
1539790402.710 * * [misc]simplify:  iters left: 2 (195 enodes)
1539790402.760 * * [misc]simplify:  iters left: 1 (309 enodes)
1539790402.910 * [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))))
1539790402.910 * [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))))))
1539790402.910 * * * * [misc]progress:  [ 34 / 77 ] 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)))))>
1539790402.910 * * * * [misc]progress:  [ 35 / 77 ] 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)))))>
1539790402.910 * * * * [misc]progress:  [ 36 / 77 ] 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)))))>
1539790402.910 * * * * [misc]progress:  [ 37 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (- (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (- (sqrt k))))>
1539790402.910 * * * * [misc]progress:  [ 38 / 77 ] 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)))))>
1539790402.911 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790402.911 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790402.914 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790402.918 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790402.921 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790402.925 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790402.925 * [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)))))
1539790402.925 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539790402.925 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790402.927 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790402.930 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790402.933 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790402.936 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539790402.936 * [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)))))
1539790402.936 * * * * [misc]progress:  [ 39 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539790402.937 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539790402.937 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790402.938 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790402.941 * * [misc]simplify:  iters left: 4 (22 enodes)
1539790402.944 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790402.950 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539790402.950 * [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)))))
1539790402.950 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539790402.950 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790402.954 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790402.959 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790402.966 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790402.972 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539790402.972 * [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)))))
1539790402.972 * * * * [misc]progress:  [ 40 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539790402.972 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539790402.973 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790402.975 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790402.980 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790402.986 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790402.992 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539790402.992 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539790402.992 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539790402.992 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790402.996 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790403.001 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790403.007 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790403.014 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539790403.014 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539790403.014 * * * * [misc]progress:  [ 41 / 77 ] 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)))))>
1539790403.014 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.014 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790403.018 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790403.023 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790403.030 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790403.038 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.038 * [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)))))
1539790403.038 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539790403.038 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790403.042 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790403.047 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790403.054 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790403.060 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539790403.060 * [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)))))
1539790403.060 * * * * [misc]progress:  [ 42 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539790403.061 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539790403.061 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.064 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790403.069 * * [misc]simplify:  iters left: 4 (22 enodes)
1539790403.075 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790403.081 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539790403.081 * [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)))))
1539790403.082 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539790403.082 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790403.086 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790403.091 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790403.097 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790403.104 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539790403.104 * [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)))))
1539790403.104 * * * * [misc]progress:  [ 43 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539790403.104 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539790403.104 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790403.107 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790403.112 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790403.118 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790403.123 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539790403.123 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539790403.123 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539790403.123 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.125 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790403.128 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790403.131 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790403.134 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539790403.134 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539790403.134 * * * * [misc]progress:  [ 44 / 77 ] 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)))))>
1539790403.135 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.135 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.136 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790403.139 * * [misc]simplify:  iters left: 4 (18 enodes)
1539790403.141 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.141 * [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)))))
1539790403.141 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539790403.141 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.143 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790403.145 * * [misc]simplify:  iters left: 4 (17 enodes)
1539790403.147 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539790403.148 * [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)))))
1539790403.148 * * * * [misc]progress:  [ 45 / 77 ] 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)))))>
1539790403.148 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.148 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790403.149 * * [misc]simplify:  iters left: 5 (12 enodes)
1539790403.151 * * [misc]simplify:  iters left: 4 (15 enodes)
1539790403.153 * [exit]simplify:  Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.153 * [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)))))
1539790403.153 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.153 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.155 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790403.160 * * [misc]simplify:  iters left: 4 (17 enodes)
1539790403.165 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.165 * [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)))))
1539790403.165 * * * * [misc]progress:  [ 46 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))>
1539790403.165 * [enter]simplify:  Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1)
1539790403.165 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790403.168 * * [misc]simplify:  iters left: 5 (13 enodes)
1539790403.173 * * [misc]simplify:  iters left: 4 (18 enodes)
1539790403.176 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539790403.176 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539790403.176 * [enter]simplify:  Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539790403.176 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790403.178 * * [misc]simplify:  iters left: 5 (13 enodes)
1539790403.180 * * [misc]simplify:  iters left: 4 (16 enodes)
1539790403.182 * [exit]simplify:  Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))
1539790403.182 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k))))
1539790403.182 * * * * [misc]progress:  [ 47 / 77 ] 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)))))>
1539790403.182 * [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))))
1539790403.182 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790403.185 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790403.190 * * [misc]simplify:  iters left: 4 (46 enodes)
1539790403.196 * * [misc]simplify:  iters left: 3 (50 enodes)
1539790403.203 * * [misc]simplify:  iters left: 2 (53 enodes)
1539790403.210 * [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))))
1539790403.210 * [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)))))
1539790403.210 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539790403.210 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.214 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790403.219 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790403.227 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.235 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539790403.235 * [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)))))
1539790403.235 * * * * [misc]progress:  [ 48 / 77 ] 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)))))>
1539790403.235 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k)))
1539790403.235 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790403.240 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790403.247 * * [misc]simplify:  iters left: 4 (34 enodes)
1539790403.252 * * [misc]simplify:  iters left: 3 (37 enodes)
1539790403.257 * [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))))))
1539790403.257 * [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)))))
1539790403.257 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.257 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.259 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790403.262 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790403.267 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.271 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.271 * [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)))))
1539790403.271 * * * * [misc]progress:  [ 49 / 77 ] 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))))>
1539790403.271 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1)
1539790403.271 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.274 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790403.278 * * [misc]simplify:  iters left: 4 (39 enodes)
1539790403.283 * * [misc]simplify:  iters left: 3 (54 enodes)
1539790403.290 * * [misc]simplify:  iters left: 2 (80 enodes)
1539790403.301 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))))
1539790403.301 * [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))))
1539790403.301 * [enter]simplify:  Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539790403.301 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790403.304 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790403.306 * * [misc]simplify:  iters left: 4 (28 enodes)
1539790403.310 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.317 * [exit]simplify:  Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539790403.317 * [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))))
1539790403.317 * * * * [misc]progress:  [ 50 / 77 ] 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)))))>
1539790403.317 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.318 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790403.322 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790403.329 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790403.338 * * [misc]simplify:  iters left: 3 (34 enodes)
1539790403.346 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.347 * [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)))))
1539790403.347 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539790403.347 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.351 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790403.357 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790403.365 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.375 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))
1539790403.375 * [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)))))
1539790403.375 * * * * [misc]progress:  [ 51 / 77 ] 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)))))>
1539790403.375 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.375 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.380 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790403.385 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790403.392 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.396 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.396 * [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)))))
1539790403.396 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.396 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790403.399 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790403.402 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790403.406 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.410 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k)))
1539790403.410 * [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)))))
1539790403.410 * * * * [misc]progress:  [ 52 / 77 ] 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))))>
1539790403.410 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1)
1539790403.410 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790403.413 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790403.416 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790403.420 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790403.425 * [exit]simplify:  Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))
1539790403.425 * [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))))
1539790403.425 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k))
1539790403.425 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790403.429 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790403.435 * * [misc]simplify:  iters left: 4 (28 enodes)
1539790403.443 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.451 * [exit]simplify:  Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k))
1539790403.451 * [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))))
1539790403.451 * * * * [misc]progress:  [ 53 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))>
1539790403.452 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790403.452 * * [misc]simplify:  iters left: 6 (6 enodes)
1539790403.454 * * [misc]simplify:  iters left: 5 (10 enodes)
1539790403.456 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539790403.457 * [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)))))
1539790403.457 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539790403.457 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790403.462 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790403.469 * * [misc]simplify:  iters left: 4 (28 enodes)
1539790403.476 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.484 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k)))
1539790403.484 * [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)))))
1539790403.484 * * * * [misc]progress:  [ 54 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))>
1539790403.484 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539790403.485 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790403.486 * * [misc]simplify:  iters left: 3 (7 enodes)
1539790403.488 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539790403.488 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539790403.488 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.488 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790403.492 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790403.498 * * [misc]simplify:  iters left: 4 (28 enodes)
1539790403.507 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790403.515 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))
1539790403.515 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))
1539790403.515 * * * * [misc]progress:  [ 55 / 77 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539790403.516 * [enter]simplify:  Simplifying (/ 1 1)
1539790403.516 * * [misc]simplify:  iters left: 2 (2 enodes)
1539790403.517 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790403.517 * [exit]simplify:  Simplified to 1
1539790403.517 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))
1539790403.518 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))
1539790403.518 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790403.522 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790403.527 * * [misc]simplify:  iters left: 4 (27 enodes)
1539790403.535 * * [misc]simplify:  iters left: 3 (29 enodes)
1539790403.541 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))
1539790403.541 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k))))
1539790403.541 * * * * [misc]progress:  [ 56 / 77 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k))))>
1539790403.541 * * * * [misc]progress:  [ 57 / 77 ] simplifiying candidate #<alt (λ (k n) (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (/ 1 (sqrt k))))>
1539790403.541 * * * * [misc]progress:  [ 58 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539790403.541 * * * * [misc]progress:  [ 59 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (sqrt k))))>
1539790403.541 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539790403.541 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790403.542 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539790403.542 * [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))))
1539790403.542 * * * * [misc]progress:  [ 60 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539790403.542 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539790403.542 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790403.542 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539790403.542 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))
1539790403.543 * * * * [misc]progress:  [ 61 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))>
1539790403.543 * [enter]simplify:  Simplifying (sqrt k)
1539790403.543 * * [misc]simplify:  iters left: 1 (2 enodes)
1539790403.543 * [exit]simplify:  Simplified to (sqrt k)
1539790403.543 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k)))
1539790403.543 * * * * [misc]progress:  [ 62 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539790403.543 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790403.543 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790403.544 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790403.546 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790403.549 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790403.551 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790403.551 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539790403.551 * * * * [misc]progress:  [ 63 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539790403.551 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790403.552 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790403.553 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790403.555 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790403.557 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790403.560 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790403.560 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539790403.560 * * * * [misc]progress:  [ 64 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))>
1539790403.560 * [enter]simplify:  Simplifying (pow PI (- 1/2 (/ k 2)))
1539790403.560 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790403.561 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790403.562 * * [misc]simplify:  iters left: 3 (12 enodes)
1539790403.565 * [exit]simplify:  Simplified to (pow PI (- 1/2 (/ k 2)))
1539790403.565 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))
1539790403.565 * * * * [misc]progress:  [ 65 / 77 ] 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)))))))>
1539790403.565 * [enter]simplify:  Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))
1539790403.565 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790403.567 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790403.570 * * [misc]simplify:  iters left: 4 (27 enodes)
1539790403.575 * * [misc]simplify:  iters left: 3 (29 enodes)
1539790403.583 * [exit]simplify:  Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))
1539790403.583 * [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)))))))
1539790403.583 * * * * [misc]progress:  [ 66 / 77 ] 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)))))))>
1539790403.584 * [enter]simplify:  Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))
1539790403.584 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790403.587 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790403.592 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790403.599 * * [misc]simplify:  iters left: 3 (27 enodes)
1539790403.605 * [exit]simplify:  Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))
1539790403.605 * [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)))))))
1539790403.605 * * * * [misc]progress:  [ 67 / 77 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))>
1539790403.605 * * * * [misc]progress:  [ 68 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539790403.605 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790403.605 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790403.606 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790403.608 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790403.611 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790403.613 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790403.613 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539790403.613 * * * * [misc]progress:  [ 69 / 77 ] 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)))>
1539790403.613 * [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)))))
1539790403.614 * * [misc]simplify:  iters left: 6 (37 enodes)
1539790403.623 * * [misc]simplify:  iters left: 5 (105 enodes)
1539790403.645 * * [misc]simplify:  iters left: 4 (339 enodes)
1539790403.875 * [exit]simplify:  Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))
1539790403.875 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k)))
1539790403.875 * * * * [misc]progress:  [ 70 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (sqrt k)))>
1539790403.875 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))
1539790403.875 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790403.879 * * [misc]simplify:  iters left: 5 (33 enodes)
1539790403.885 * * [misc]simplify:  iters left: 4 (64 enodes)
1539790403.900 * * [misc]simplify:  iters left: 3 (171 enodes)
1539790403.983 * [exit]simplify:  Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))
1539790403.983 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k)))
1539790403.983 * * * * [misc]progress:  [ 71 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (sqrt k)))>
1539790403.984 * [enter]simplify:  Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))
1539790403.984 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790403.989 * * [misc]simplify:  iters left: 5 (30 enodes)
1539790404.000 * * [misc]simplify:  iters left: 4 (65 enodes)
1539790404.018 * * [misc]simplify:  iters left: 3 (200 enodes)
1539790404.143 * [exit]simplify:  Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))
1539790404.143 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k)))
1539790404.143 * * * * [misc]progress:  [ 72 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539790404.143 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790404.144 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790404.145 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790404.148 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790404.152 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790404.156 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790404.156 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539790404.156 * * * * [misc]progress:  [ 73 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539790404.156 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790404.156 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790404.158 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790404.161 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790404.165 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790404.169 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790404.169 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539790404.169 * * * * [misc]progress:  [ 74 / 77 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* 2 (* n PI)) (- 1/2 (/ k 2))) (sqrt k)))>
1539790404.170 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790404.170 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790404.171 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790404.173 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790404.175 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790404.177 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790404.177 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k)))
1539790404.177 * * * * [misc]progress:  [ 75 / 77 ] 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)))))))))))))))))))))))>
1539790404.177 * [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))))))))))))))))))))))
1539790404.177 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790404.177 * * * * [misc]progress:  [ 76 / 77 ] 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)))))))))>
1539790404.177 * [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))))))))
1539790404.177 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790404.177 * * * * [misc]progress:  [ 77 / 77 ] 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))))))))))))>
1539790404.177 * [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)))))))))))
1539790404.178 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790404.178 * * * [misc]progress:  adding candidates to table
1539790404.914 * * [misc]progress:  iteration 2 / 4
1539790404.914 * * * [misc]progress:  picking best candidate
1539790404.955 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790404.955 * * * [misc]progress:  localizing error
1539790405.003 * * * [misc]progress:  generating rewritten candidates
1539790405.003 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
1539790405.005 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
1539790405.007 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1539790405.023 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
1539790405.026 * * * [misc]progress:  generating series expansions
1539790405.027 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
1539790405.027 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539790405.027 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790405.027 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.027 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.027 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.027 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.027 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.027 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.027 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.027 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.027 * [misc]backup-simplify:  Simplify PI into PI
1539790405.027 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.027 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.027 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.027 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.027 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.027 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.027 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.027 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.027 * [misc]backup-simplify:  Simplify PI into PI
1539790405.028 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.028 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.028 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.028 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.029 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.029 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.029 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790405.030 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790405.030 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.031 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.032 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790405.032 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.033 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.034 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790405.034 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.036 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.038 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790405.038 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.040 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.042 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790405.042 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.044 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790405.046 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790405.046 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.047 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790405.047 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539790405.047 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790405.047 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.047 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.047 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.047 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.047 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.047 * [misc]backup-simplify:  Simplify PI into PI
1539790405.047 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.047 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.047 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.047 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.047 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.047 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.047 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.047 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.047 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.047 * [misc]backup-simplify:  Simplify PI into PI
1539790405.047 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.047 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.048 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.048 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.048 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.048 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.049 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.049 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.049 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.050 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.051 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.051 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.052 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.052 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.053 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.054 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.055 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.055 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.056 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.058 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.058 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.059 * [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
1539790405.061 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.061 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.061 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790405.061 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539790405.061 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790405.061 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.061 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.061 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.061 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.061 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.061 * [misc]backup-simplify:  Simplify PI into PI
1539790405.061 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.061 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.061 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.062 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.062 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.062 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.062 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.062 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.062 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.062 * [misc]backup-simplify:  Simplify PI into PI
1539790405.062 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.062 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.062 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.062 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.062 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.062 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.063 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.063 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790405.063 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.064 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.065 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.065 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.066 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.067 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.067 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.068 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.069 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.069 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.070 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.072 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.072 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.073 * [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
1539790405.075 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.075 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.075 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790405.075 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
1539790405.075 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539790405.076 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790405.076 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.076 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.076 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.076 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.076 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.076 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.076 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.076 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.076 * [misc]backup-simplify:  Simplify PI into PI
1539790405.076 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.076 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.076 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.076 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.076 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.076 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.076 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.076 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.076 * [misc]backup-simplify:  Simplify PI into PI
1539790405.076 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.076 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.076 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.077 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.077 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.077 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.078 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790405.078 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790405.079 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.080 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.081 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790405.081 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.084 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.085 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790405.085 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.087 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.088 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790405.088 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.090 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.092 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790405.092 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.095 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790405.097 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790405.097 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.097 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790405.097 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539790405.097 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790405.097 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.097 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.097 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.097 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.097 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.097 * [misc]backup-simplify:  Simplify PI into PI
1539790405.097 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.097 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.097 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.098 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.098 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.098 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.098 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.098 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.098 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.098 * [misc]backup-simplify:  Simplify PI into PI
1539790405.098 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.098 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.098 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.098 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.098 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.099 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.099 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.100 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.100 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.100 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.101 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.101 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.102 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.103 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.103 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.104 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.105 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.105 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.107 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.108 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.108 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.110 * [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
1539790405.112 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.112 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.112 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790405.112 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539790405.112 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790405.112 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.112 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.112 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.112 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.112 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.112 * [misc]backup-simplify:  Simplify PI into PI
1539790405.112 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.112 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.112 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.112 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.112 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.112 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.112 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.112 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.112 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.112 * [misc]backup-simplify:  Simplify PI into PI
1539790405.112 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.112 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.112 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.113 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.113 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.113 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.114 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.114 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790405.114 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.115 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.115 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.115 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.116 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.117 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.117 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.118 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.120 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.120 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.121 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.122 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.122 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.124 * [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
1539790405.126 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.126 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.126 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790405.126 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1539790405.126 * [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)))
1539790405.126 * [misc]approximate:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539790405.126 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k
1539790405.126 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k
1539790405.126 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.126 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.126 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.127 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.127 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.127 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790405.127 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.127 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.127 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.127 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.127 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.127 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.127 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790405.127 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.127 * [misc]backup-simplify:  Simplify n into n
1539790405.127 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.127 * [misc]backup-simplify:  Simplify PI into PI
1539790405.127 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790405.127 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539790405.127 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539790405.127 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790405.127 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.127 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539790405.128 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.128 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539790405.128 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539790405.129 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539790405.129 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539790405.129 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790405.129 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI)))))
1539790405.129 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790405.129 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539790405.129 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539790405.129 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790405.129 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.129 * [misc]backup-simplify:  Simplify n into n
1539790405.129 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.129 * [misc]backup-simplify:  Simplify PI into PI
1539790405.129 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.129 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.129 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.129 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790405.129 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539790405.129 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.130 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.130 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.130 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.130 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.130 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.130 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.130 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.130 * [misc]backup-simplify:  Simplify k into k
1539790405.130 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.130 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.130 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.130 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.130 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.130 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.130 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.130 * [misc]backup-simplify:  Simplify PI into PI
1539790405.130 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.131 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.131 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.131 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.132 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.132 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790405.132 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790405.132 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.132 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539790405.133 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539790405.133 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790405.133 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790405.133 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.133 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.133 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.133 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.133 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.133 * [misc]backup-simplify:  Simplify PI into PI
1539790405.133 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.133 * [misc]backup-simplify:  Simplify k into k
1539790405.133 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.134 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.134 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790405.134 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.134 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.134 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.134 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.134 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.134 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 k)) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.134 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.134 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.134 * [misc]backup-simplify:  Simplify k into k
1539790405.134 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.134 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.134 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.134 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.134 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.134 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.134 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.134 * [misc]backup-simplify:  Simplify PI into PI
1539790405.135 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.135 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.135 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.136 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.136 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.136 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790405.136 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790405.136 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.137 * [misc]backup-simplify:  Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k))
1539790405.137 * [misc]backup-simplify:  Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539790405.137 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790405.137 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790405.137 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.137 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.137 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.137 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.137 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.137 * [misc]backup-simplify:  Simplify PI into PI
1539790405.137 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.137 * [misc]backup-simplify:  Simplify k into k
1539790405.137 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.138 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.138 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790405.138 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.138 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790405.139 * [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))))
1539790405.139 * [misc]backup-simplify:  Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539790405.139 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790405.139 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.139 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790405.140 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790405.140 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790405.142 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.142 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539790405.142 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.143 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.143 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790405.144 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.144 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0
1539790405.145 * [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)))
1539790405.145 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k
1539790405.145 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k
1539790405.145 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.145 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.145 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k
1539790405.145 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539790405.145 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.145 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.145 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.145 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.146 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.146 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.146 * [misc]backup-simplify:  Simplify PI into PI
1539790405.146 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.146 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.146 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.146 * [misc]backup-simplify:  Simplify n into n
1539790405.146 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.146 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.146 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.146 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.146 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.146 * [misc]backup-simplify:  Simplify PI into PI
1539790405.146 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.146 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.146 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.146 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.146 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.147 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.147 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539790405.147 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539790405.148 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790405.148 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.150 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.150 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790405.150 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539790405.151 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539790405.151 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790405.151 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.151 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.151 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.151 * [misc]backup-simplify:  Simplify (* PI 1) into PI
1539790405.152 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539790405.152 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539790405.153 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539790405.154 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790405.155 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790405.155 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.156 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790405.156 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539790405.157 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539790405.157 * [misc]backup-simplify:  Simplify (- (* 1/2 k)) into (- (* 1/2 k))
1539790405.158 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.160 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790405.165 * [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
1539790405.165 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.165 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539790405.166 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.166 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.167 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790405.169 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.171 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790405.172 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0
1539790405.173 * [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))))
1539790405.173 * [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
1539790405.173 * [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
1539790405.173 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.173 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.173 * [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
1539790405.173 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k
1539790405.173 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.174 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.174 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.174 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.174 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.174 * [misc]backup-simplify:  Simplify PI into PI
1539790405.174 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.174 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.174 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.174 * [misc]backup-simplify:  Simplify n into n
1539790405.174 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.174 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.174 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.175 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.175 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.175 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.175 * [misc]backup-simplify:  Simplify PI into PI
1539790405.175 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.175 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.175 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.175 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.175 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.176 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.177 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539790405.177 * [misc]backup-simplify:  Simplify (* -1/2 0) into 0
1539790405.177 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790405.178 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.181 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.181 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790405.182 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539790405.182 * [misc]backup-simplify:  Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))))
1539790405.182 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790405.182 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790405.182 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.182 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.183 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.183 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790405.183 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539790405.184 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790405.184 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790405.185 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539790405.186 * [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)))))
1539790405.187 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790405.188 * [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)))))
1539790405.191 * [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))))))
1539790405.191 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790405.196 * [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))))))
1539790405.200 * [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)))))))
1539790405.204 * [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)))))))
1539790405.207 * [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)))))))
1539790405.208 * [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)))))
1539790405.209 * [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)))))
1539790405.211 * [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)))))))
1539790405.214 * [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)))))))
1539790405.217 * [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))))))))
1539790405.219 * [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))))))))
1539790405.222 * [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))))))))
1539790405.229 * [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))))))))))))))
1539790405.230 * [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)))
1539790405.230 * [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
1539790405.230 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k
1539790405.230 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k
1539790405.230 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.230 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.230 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.230 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.230 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.230 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790405.231 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.231 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.231 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.231 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.231 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790405.231 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.231 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.231 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790405.231 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.231 * [misc]backup-simplify:  Simplify PI into PI
1539790405.231 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.231 * [misc]backup-simplify:  Simplify n into n
1539790405.231 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790405.231 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539790405.231 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539790405.232 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790405.232 * [misc]backup-simplify:  Simplify (- 1/2) into -1/2
1539790405.232 * [misc]backup-simplify:  Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n))))
1539790405.232 * [misc]backup-simplify:  Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))
1539790405.232 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539790405.232 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539790405.232 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790405.232 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.232 * [misc]backup-simplify:  Simplify PI into PI
1539790405.232 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.232 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.232 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.232 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.232 * [misc]backup-simplify:  Simplify n into n
1539790405.233 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790405.233 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790405.234 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790405.234 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.234 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539790405.234 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539790405.234 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539790405.234 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790405.234 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.234 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.234 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.234 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.235 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.235 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.235 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.235 * [misc]backup-simplify:  Simplify k into k
1539790405.235 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790405.235 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.235 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.235 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.235 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.235 * [misc]backup-simplify:  Simplify PI into PI
1539790405.235 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.235 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.235 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.235 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.236 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.236 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.236 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790405.236 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.237 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.238 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539790405.238 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.238 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790405.238 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790405.238 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790405.238 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.238 * [misc]backup-simplify:  Simplify PI into PI
1539790405.238 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.238 * [misc]backup-simplify:  Simplify k into k
1539790405.238 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.238 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.238 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.238 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790405.239 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790405.239 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.239 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790405.239 * [misc]taylor:  Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n
1539790405.239 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n
1539790405.239 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790405.239 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.239 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.239 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.240 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.240 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.240 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.240 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.240 * [misc]backup-simplify:  Simplify k into k
1539790405.240 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790405.240 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.240 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.240 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.240 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.240 * [misc]backup-simplify:  Simplify PI into PI
1539790405.240 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.240 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.240 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.240 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.241 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.241 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.241 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790405.241 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.242 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.243 * [misc]backup-simplify:  Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539790405.243 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.243 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790405.243 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790405.243 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790405.243 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.243 * [misc]backup-simplify:  Simplify PI into PI
1539790405.243 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.243 * [misc]backup-simplify:  Simplify k into k
1539790405.243 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.243 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.243 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.244 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790405.244 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790405.244 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.244 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790405.245 * [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))
1539790405.245 * [misc]backup-simplify:  Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0
1539790405.246 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790405.246 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.246 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.246 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.247 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.247 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.250 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.250 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790405.250 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790405.251 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.251 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.252 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790405.253 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.255 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0
1539790405.256 * [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)))))
1539790405.256 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.256 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.256 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.256 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.256 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.256 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.256 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.256 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.256 * [misc]backup-simplify:  Simplify PI into PI
1539790405.256 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.257 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.257 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.257 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.257 * [misc]backup-simplify:  Simplify n into n
1539790405.257 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.257 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.257 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.257 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.257 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.258 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.258 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.259 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.259 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.259 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539790405.259 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.259 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.260 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.260 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.260 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.260 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790405.260 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.260 * [misc]backup-simplify:  Simplify PI into PI
1539790405.260 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.260 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.260 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.260 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790405.261 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539790405.261 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0
1539790405.261 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539790405.262 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.262 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.262 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.262 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539790405.262 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539790405.263 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539790405.263 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.264 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.265 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.270 * [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
1539790405.270 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.271 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790405.271 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790405.271 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.272 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.273 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790405.275 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.276 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790405.277 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539790405.278 * [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))))))
1539790405.279 * [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
1539790405.279 * [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
1539790405.279 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.279 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.279 * [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
1539790405.279 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.279 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.279 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.279 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.279 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.279 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.279 * [misc]backup-simplify:  Simplify PI into PI
1539790405.279 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.280 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.280 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.280 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.280 * [misc]backup-simplify:  Simplify n into n
1539790405.280 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.280 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.280 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.280 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.280 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.281 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.281 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.282 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.282 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.282 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539790405.282 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.282 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.283 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.283 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.283 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.283 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539790405.283 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790405.283 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.283 * [misc]backup-simplify:  Simplify PI into PI
1539790405.283 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790405.283 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.283 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.283 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.284 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790405.285 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539790405.286 * [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))
1539790405.287 * [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))))
1539790405.288 * [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))))
1539790405.289 * [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))))
1539790405.289 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.290 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539790405.290 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.291 * [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)))
1539790405.291 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.293 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.294 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.302 * [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
1539790405.302 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.302 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.303 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790405.303 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0
1539790405.303 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.304 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.305 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790405.308 * [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
1539790405.309 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.310 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539790405.312 * [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))))))
1539790405.312 * [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
1539790405.312 * [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
1539790405.312 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.312 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.312 * [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
1539790405.312 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.312 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.312 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.312 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.312 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.312 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.313 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.313 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.313 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.313 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.313 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.313 * [misc]backup-simplify:  Simplify PI into PI
1539790405.313 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.314 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.314 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.314 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.314 * [misc]backup-simplify:  Simplify n into n
1539790405.314 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.314 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.314 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.314 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.314 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.314 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.315 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.315 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.316 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.316 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539790405.316 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.316 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.316 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.316 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.316 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.316 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539790405.316 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539790405.317 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.317 * [misc]backup-simplify:  Simplify PI into PI
1539790405.317 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539790405.317 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.317 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.317 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.317 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539790405.319 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790405.320 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539790405.321 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539790405.323 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0
1539790405.323 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.323 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.323 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.324 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539790405.324 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.326 * [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)))
1539790405.326 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.328 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.330 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.343 * [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
1539790405.343 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.344 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.344 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.344 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790405.345 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0
1539790405.345 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.345 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.346 * [misc]backup-simplify:  Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539790405.352 * [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
1539790405.354 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.355 * [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
1539790405.357 * [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))))))
1539790405.357 * [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
1539790405.357 * [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
1539790405.357 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.357 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.357 * [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
1539790405.357 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.357 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.357 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.357 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.357 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.357 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.357 * [misc]backup-simplify:  Simplify PI into PI
1539790405.358 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.359 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.359 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.360 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.360 * [misc]backup-simplify:  Simplify n into n
1539790405.360 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.360 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.360 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.360 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.360 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.360 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.361 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.362 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.362 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.362 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539790405.362 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.362 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.363 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.363 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.363 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.363 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539790405.363 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539790405.363 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.363 * [misc]backup-simplify:  Simplify PI into PI
1539790405.363 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539790405.363 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.363 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.363 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.364 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790405.364 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790405.364 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539790405.365 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790405.366 * [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)))
1539790405.367 * [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))))
1539790405.368 * [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)))))
1539790405.369 * [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)))))
1539790405.371 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539790405.371 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.372 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790405.375 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539790405.376 * [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
1539790405.376 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.376 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.376 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.377 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539790405.378 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.380 * [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)))
1539790405.380 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.383 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.385 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.405 * [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
1539790405.405 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.406 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.406 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.406 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.406 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790405.407 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0
1539790405.407 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.408 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.409 * [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
1539790405.418 * [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
1539790405.419 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.420 * [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
1539790405.423 * [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))))))
1539790405.423 * [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
1539790405.423 * [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
1539790405.423 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.423 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.423 * [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
1539790405.423 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.423 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.423 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.423 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.423 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.423 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.423 * [misc]backup-simplify:  Simplify PI into PI
1539790405.423 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.424 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.424 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.424 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.424 * [misc]backup-simplify:  Simplify n into n
1539790405.424 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.424 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.424 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.424 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.424 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.424 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.425 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.425 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.425 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.425 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539790405.425 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.425 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.425 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.425 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.426 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.426 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539790405.426 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539790405.426 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.426 * [misc]backup-simplify:  Simplify PI into PI
1539790405.426 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539790405.426 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.426 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.426 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.426 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790405.426 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790405.427 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539790405.428 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539790405.429 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539790405.429 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0
1539790405.429 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.429 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.430 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539790405.431 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.432 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790405.434 * [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
1539790405.435 * [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
1539790405.435 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.435 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.435 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.435 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539790405.436 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.437 * [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)))
1539790405.437 * [misc]backup-simplify:  Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k)))
1539790405.439 * [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
1539790405.441 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.458 * [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
1539790405.459 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.459 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.459 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.459 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.459 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.459 * [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
1539790405.460 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0
1539790405.460 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790405.460 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.461 * [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
1539790405.469 * [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
1539790405.470 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790405.471 * [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
1539790405.473 * [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))))))
1539790405.473 * [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
1539790405.473 * [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
1539790405.473 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.473 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.473 * [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
1539790405.473 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790405.473 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790405.473 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790405.473 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.473 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.473 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.473 * [misc]backup-simplify:  Simplify PI into PI
1539790405.474 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.474 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.474 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.474 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.474 * [misc]backup-simplify:  Simplify n into n
1539790405.474 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.474 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.474 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.474 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.474 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.474 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790405.475 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790405.475 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n)))
1539790405.476 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790405.476 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539790405.476 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790405.476 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790405.476 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.476 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790405.476 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790405.476 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539790405.476 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539790405.476 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.476 * [misc]backup-simplify:  Simplify PI into PI
1539790405.476 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539790405.476 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.476 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.476 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.477 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790405.477 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539790405.477 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790405.478 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790405.478 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539790405.479 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539790405.481 * [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)))
1539790405.482 * [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))))
1539790405.483 * [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)))))
1539790405.484 * [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)))))
1539790405.489 * [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)))))))
1539790405.490 * [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)))
1539790405.490 * [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
1539790405.490 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790405.490 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.490 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.490 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.490 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.490 * [misc]backup-simplify:  Simplify (/ 1 1) into 1
1539790405.490 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790405.490 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.490 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790405.490 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.490 * [misc]backup-simplify:  Simplify PI into PI
1539790405.490 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.490 * [misc]backup-simplify:  Simplify n into n
1539790405.490 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790405.491 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539790405.491 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539790405.491 * [misc]backup-simplify:  Simplify (* 1/2 1) into 1/2
1539790405.491 * [misc]backup-simplify:  Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n))))
1539790405.491 * [misc]backup-simplify:  Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))
1539790405.491 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539790405.491 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539790405.491 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539790405.491 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.491 * [misc]backup-simplify:  Simplify PI into PI
1539790405.491 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790405.491 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.491 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.491 * [misc]backup-simplify:  Simplify n into n
1539790405.492 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790405.492 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539790405.492 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539790405.493 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539790405.493 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539790405.493 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539790405.493 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790405.493 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790405.493 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790405.493 * [misc]backup-simplify:  Simplify -1 into -1
1539790405.493 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.493 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.493 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.493 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790405.493 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.494 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790405.494 * [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))))
1539790405.494 * [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)))))
1539790405.494 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539790405.494 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.495 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.495 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.495 * [misc]backup-simplify:  Simplify k into k
1539790405.495 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790405.495 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.495 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.495 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.495 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.495 * [misc]backup-simplify:  Simplify PI into PI
1539790405.495 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.495 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.495 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.495 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.496 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.496 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.496 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790405.497 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.497 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539790405.498 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790405.498 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539790405.498 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539790405.498 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539790405.498 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.498 * [misc]backup-simplify:  Simplify PI into PI
1539790405.498 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.498 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.498 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.498 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.498 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.498 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790405.499 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539790405.499 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.500 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790405.500 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790405.500 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790405.500 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790405.500 * [misc]backup-simplify:  Simplify -1 into -1
1539790405.500 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.500 * [misc]backup-simplify:  Simplify k into k
1539790405.500 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790405.500 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790405.500 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790405.500 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790405.501 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539790405.502 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.503 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790405.505 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790405.505 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790405.506 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790405.506 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.507 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790405.509 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.510 * [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))))))
1539790405.510 * [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))))
1539790405.510 * [misc]taylor:  Taking taylor expansion of (/ (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) (sqrt (/ -1 k))) in n
1539790405.510 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) (sqrt (/ (* PI -2) n))) in n
1539790405.510 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n
1539790405.510 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n
1539790405.510 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ 1 k)) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.511 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.511 * [misc]taylor:  Taking taylor expansion of (/ 1 k) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.511 * [misc]backup-simplify:  Simplify k into k
1539790405.511 * [misc]backup-simplify:  Simplify (/ 1 k) into (/ 1 k)
1539790405.511 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.511 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.511 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.511 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.511 * [misc]backup-simplify:  Simplify PI into PI
1539790405.511 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.511 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.511 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.511 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.511 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.512 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.512 * [misc]backup-simplify:  Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k)
1539790405.513 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.513 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539790405.514 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790405.514 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539790405.514 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539790405.514 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539790405.514 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.514 * [misc]backup-simplify:  Simplify PI into PI
1539790405.514 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.514 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.514 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.514 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.514 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.514 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790405.515 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539790405.515 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.516 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790405.516 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790405.516 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790405.516 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790405.516 * [misc]backup-simplify:  Simplify -1 into -1
1539790405.516 * [misc]taylor:  Taking taylor expansion of k in n
1539790405.516 * [misc]backup-simplify:  Simplify k into k
1539790405.516 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790405.516 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790405.516 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790405.516 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790405.517 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539790405.518 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.519 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790405.521 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790405.521 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0
1539790405.521 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0
1539790405.522 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.523 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790405.524 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.525 * [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))))))
1539790405.526 * [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))))
1539790405.526 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k
1539790405.526 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.526 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.526 * [misc]taylor:  Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539790405.526 * [misc]taylor:  Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539790405.526 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.526 * [misc]backup-simplify:  Simplify PI into PI
1539790405.526 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539790405.526 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539790405.527 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790405.527 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.527 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539790405.527 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790405.527 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790405.527 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790405.527 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790405.527 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.527 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.527 * [misc]backup-simplify:  Simplify PI into PI
1539790405.527 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.528 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.528 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.528 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.528 * [misc]backup-simplify:  Simplify n into n
1539790405.528 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.528 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.528 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.528 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.528 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.528 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790405.529 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539790405.529 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790405.530 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790405.530 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790405.530 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790405.530 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790405.530 * [misc]backup-simplify:  Simplify -1 into -1
1539790405.530 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.530 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.530 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.530 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790405.530 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.531 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790405.531 * [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))))
1539790405.532 * [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)))))
1539790405.533 * [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)))))
1539790405.533 * [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)))))
1539790405.534 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539790405.536 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
1539790405.537 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539790405.539 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.540 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.545 * [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
1539790405.545 * [misc]backup-simplify:  Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790405.545 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0
1539790405.546 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.547 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539790405.549 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.551 * [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))))))
1539790405.553 * [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)))))
1539790405.553 * [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
1539790405.553 * [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
1539790405.553 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790405.553 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790405.553 * [misc]taylor:  Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k
1539790405.553 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.554 * [misc]backup-simplify:  Simplify PI into PI
1539790405.554 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790405.554 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.554 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790405.554 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790405.554 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.554 * [misc]taylor:  Taking taylor expansion of PI in k
1539790405.554 * [misc]backup-simplify:  Simplify PI into PI
1539790405.554 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.555 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.555 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790405.555 * [misc]taylor:  Taking taylor expansion of n in k
1539790405.555 * [misc]backup-simplify:  Simplify n into n
1539790405.555 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790405.555 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.555 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.555 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.555 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790405.555 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790405.556 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539790405.557 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790405.557 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790405.557 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790405.557 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790405.557 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790405.557 * [misc]backup-simplify:  Simplify -1 into -1
1539790405.557 * [misc]taylor:  Taking taylor expansion of k in k
1539790405.557 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.557 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.558 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790405.558 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790405.558 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790405.558 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790405.559 * [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))))
1539790405.560 * [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)))))
1539790405.561 * [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)))))
1539790405.562 * [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))))))
1539790405.563 * [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))))))
1539790405.564 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0
1539790405.564 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539790405.565 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790405.566 * [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))))))
1539790405.567 * [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))))))
1539790405.568 * [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))))))
1539790405.571 * [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)))))))
1539790405.572 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
1539790405.572 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2)
1539790405.572 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0
1539790405.572 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.572 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.572 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.572 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.572 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.572 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.572 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.572 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.572 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.572 * [misc]backup-simplify:  Simplify PI into PI
1539790405.573 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.573 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.573 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.574 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.575 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.575 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.576 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790405.576 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790405.576 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539790405.576 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539790405.576 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539790405.576 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.576 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.577 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790405.577 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790405.577 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.577 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.577 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790405.577 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.577 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.577 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.577 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.577 * [misc]backup-simplify:  Simplify PI into PI
1539790405.577 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790405.577 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790405.578 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790405.578 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790405.579 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.580 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.580 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790405.581 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790405.581 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790405.583 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790405.584 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790405.585 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.586 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.586 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790405.587 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.587 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.588 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.589 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790405.592 * [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
1539790405.592 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.593 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790405.594 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.594 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.596 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.597 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790405.601 * [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
1539790405.602 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.602 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539790405.605 * [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
1539790405.605 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.606 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.608 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790405.618 * [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
1539790405.619 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.620 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
1539790405.627 * [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
1539790405.627 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.631 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.635 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790405.654 * [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
1539790405.655 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.656 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
1539790405.665 * [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
1539790405.665 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.669 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790405.673 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790405.705 * [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
1539790405.705 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790405.707 * [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
1539790405.718 * [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
1539790405.719 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.719 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790405.719 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2)
1539790405.719 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0
1539790405.719 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.719 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.719 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.719 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.719 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.719 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.719 * [misc]backup-simplify:  Simplify PI into PI
1539790405.719 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.719 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.719 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.720 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.720 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.720 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.720 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.721 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790405.721 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790405.721 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.721 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.721 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790405.721 * [misc]backup-simplify:  Simplify 2 into 2
1539790405.721 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.721 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.721 * [misc]backup-simplify:  Simplify PI into PI
1539790405.721 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.721 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.721 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.722 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.722 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790405.722 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790405.722 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.723 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790405.723 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790405.724 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790405.724 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.725 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790405.726 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790405.727 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.727 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790405.728 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.728 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.729 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.729 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.733 * [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
1539790405.733 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.733 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790405.735 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.735 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.736 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.737 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.741 * [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
1539790405.742 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.743 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790405.745 * [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
1539790405.745 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.746 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.747 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.755 * [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
1539790405.756 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.757 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539790405.763 * [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
1539790405.763 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.765 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.768 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.787 * [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
1539790405.788 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.789 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539790405.798 * [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
1539790405.798 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.801 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.804 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.835 * [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
1539790405.836 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790405.837 * [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
1539790405.852 * [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
1539790405.852 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.852 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539790405.852 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2)
1539790405.853 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0
1539790405.853 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.853 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.853 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.853 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.853 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.853 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.853 * [misc]backup-simplify:  Simplify PI into PI
1539790405.853 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.853 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.853 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.853 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.854 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.854 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.855 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.855 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790405.856 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790405.856 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790405.856 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790405.856 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790405.856 * [misc]backup-simplify:  Simplify -2 into -2
1539790405.856 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790405.856 * [misc]taylor:  Taking taylor expansion of PI in n
1539790405.856 * [misc]backup-simplify:  Simplify PI into PI
1539790405.856 * [misc]taylor:  Taking taylor expansion of n in n
1539790405.856 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.856 * [misc]backup-simplify:  Simplify 1 into 1
1539790405.857 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790405.857 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790405.857 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790405.858 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.858 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790405.859 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790405.860 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790405.861 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790405.861 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790405.864 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790405.865 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.866 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790405.867 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790405.867 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.868 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.870 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790405.874 * [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
1539790405.875 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.876 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539790405.878 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790405.878 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.880 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.882 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790405.890 * [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
1539790405.890 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.891 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539790405.896 * [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
1539790405.896 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.898 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.900 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790405.914 * [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
1539790405.915 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.916 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
1539790405.922 * [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
1539790405.922 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.924 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790405.927 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790405.947 * [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
1539790405.947 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.949 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
1539790405.957 * [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
1539790405.957 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.960 * [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
1539790405.963 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790405.988 * [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
1539790405.988 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790405.989 * [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
1539790405.997 * [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
1539790405.998 * [misc]backup-simplify:  Simplify 0 into 0
1539790405.998 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539790405.998 * * * [misc]progress:  simplifying candidates
1539790405.998 * * * * [misc]progress:  [ 1 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 2 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 3 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 4 / 74 ] 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)))>
1539790405.998 * * * * [misc]progress:  [ 5 / 74 ] 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)))>
1539790405.998 * * * * [misc]progress:  [ 6 / 74 ] 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)))>
1539790405.998 * * * * [misc]progress:  [ 7 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 8 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 9 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 10 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 11 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.998 * * * * [misc]progress:  [ 12 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.999 * * * * [misc]progress:  [ 13 / 74 ] 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)))>
1539790405.999 * * * * [misc]progress:  [ 14 / 74 ] 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)))>
1539790405.999 * * * * [misc]progress:  [ 15 / 74 ] 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)))>
1539790405.999 * * * * [misc]progress:  [ 16 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.999 * * * * [misc]progress:  [ 17 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.999 * * * * [misc]progress:  [ 18 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790405.999 * * * * [misc]progress:  [ 19 / 74 ] simplifiying candidate #<alt (λ (k n) (pow (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)) 1))>
1539790405.999 * * * * [misc]progress:  [ 20 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790405.999 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790405.999 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790406.002 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790406.008 * * [misc]simplify:  iters left: 4 (82 enodes)
1539790406.028 * * [misc]simplify:  iters left: 3 (233 enodes)
1539790406.122 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.122 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.122 * * * * [misc]progress:  [ 21 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790406.122 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790406.123 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790406.125 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790406.132 * * [misc]simplify:  iters left: 4 (82 enodes)
1539790406.161 * * [misc]simplify:  iters left: 3 (233 enodes)
1539790406.316 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.316 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.317 * * * * [misc]progress:  [ 22 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539790406.317 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539790406.317 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790406.323 * * [misc]simplify:  iters left: 5 (33 enodes)
1539790406.329 * * [misc]simplify:  iters left: 4 (73 enodes)
1539790406.356 * * [misc]simplify:  iters left: 3 (205 enodes)
1539790406.473 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.473 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.473 * * * * [misc]progress:  [ 23 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790406.473 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790406.473 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790406.479 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790406.492 * * [misc]simplify:  iters left: 4 (82 enodes)
1539790406.528 * * [misc]simplify:  iters left: 3 (233 enodes)
1539790406.682 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.682 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.682 * * * * [misc]progress:  [ 24 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790406.682 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790406.683 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790406.688 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790406.700 * * [misc]simplify:  iters left: 4 (82 enodes)
1539790406.737 * * [misc]simplify:  iters left: 3 (233 enodes)
1539790406.843 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.843 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.843 * * * * [misc]progress:  [ 25 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539790406.843 * [enter]simplify:  Simplifying (- (+ (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539790406.843 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790406.846 * * [misc]simplify:  iters left: 5 (33 enodes)
1539790406.852 * * [misc]simplify:  iters left: 4 (73 enodes)
1539790406.868 * * [misc]simplify:  iters left: 3 (205 enodes)
1539790406.958 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790406.958 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790406.958 * * * * [misc]progress:  [ 26 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790406.958 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790406.958 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790406.961 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790406.967 * * [misc]simplify:  iters left: 4 (83 enodes)
1539790406.986 * * [misc]simplify:  iters left: 3 (229 enodes)
1539790407.073 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790407.073 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790407.073 * * * * [misc]progress:  [ 27 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))))>
1539790407.074 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt k)))
1539790407.074 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790407.077 * * [misc]simplify:  iters left: 5 (36 enodes)
1539790407.090 * * [misc]simplify:  iters left: 4 (83 enodes)
1539790407.113 * * [misc]simplify:  iters left: 3 (229 enodes)
1539790407.208 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790407.208 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790407.208 * * * * [misc]progress:  [ 28 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539790407.208 * [enter]simplify:  Simplifying (- (+ (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539790407.208 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790407.211 * * [misc]simplify:  iters left: 5 (32 enodes)
1539790407.217 * * [misc]simplify:  iters left: 4 (63 enodes)
1539790407.229 * * [misc]simplify:  iters left: 3 (150 enodes)
1539790407.296 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790407.296 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790407.296 * * * * [misc]progress:  [ 29 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))))>
1539790407.296 * [enter]simplify:  Simplifying (- (log (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt k)))
1539790407.296 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790407.299 * * [misc]simplify:  iters left: 5 (29 enodes)
1539790407.307 * * [misc]simplify:  iters left: 4 (44 enodes)
1539790407.321 * * [misc]simplify:  iters left: 3 (76 enodes)
1539790407.347 * * [misc]simplify:  iters left: 2 (206 enodes)
1539790407.504 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790407.504 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790407.505 * * * * [misc]progress:  [ 30 / 74 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539790407.505 * * * * [misc]progress:  [ 31 / 74 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))))>
1539790407.505 * * * * [misc]progress:  [ 32 / 74 ] 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)))))>
1539790407.505 * [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)))
1539790407.505 * * [misc]simplify:  iters left: 6 (20 enodes)
1539790407.509 * * [misc]simplify:  iters left: 5 (42 enodes)
1539790407.517 * * [misc]simplify:  iters left: 4 (131 enodes)
1539790407.554 * * [misc]simplify:  iters left: 3 (470 enodes)
1539790407.979 * [exit]simplify:  Simplified to (* (pow (pow (* (* 2 n) PI) (/ (- k) 2)) 3) (* (/ (* (* 2 n) PI) (* k (sqrt k))) (sqrt (* (* 2 n) PI))))
1539790407.979 * [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))))))
1539790407.979 * * * * [misc]progress:  [ 33 / 74 ] 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)))))>
1539790407.980 * [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)))
1539790407.980 * * [misc]simplify:  iters left: 6 (18 enodes)
1539790407.983 * * [misc]simplify:  iters left: 5 (41 enodes)
1539790407.993 * * [misc]simplify:  iters left: 4 (112 enodes)
1539790408.046 * * [misc]simplify:  iters left: 3 (360 enodes)
1539790408.345 * [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))
1539790408.345 * [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))))
1539790408.345 * * * * [misc]progress:  [ 34 / 74 ] 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)))))>
1539790408.345 * * * * [misc]progress:  [ 35 / 74 ] 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)))))>
1539790408.345 * * * * [misc]progress:  [ 36 / 74 ] 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)))))>
1539790408.345 * * * * [misc]progress:  [ 37 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (- (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2))))) (- (sqrt k))))>
1539790408.345 * * * * [misc]progress:  [ 38 / 74 ] 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)))))>
1539790408.346 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790408.346 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790408.350 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790408.355 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790408.362 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790408.368 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790408.368 * [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)))))
1539790408.369 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))
1539790408.369 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790408.372 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790408.378 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790408.384 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790408.391 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k)))
1539790408.391 * [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)))))
1539790408.391 * * * * [misc]progress:  [ 39 / 74 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))))>
1539790408.391 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539790408.391 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790408.393 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790408.396 * * [misc]simplify:  iters left: 4 (22 enodes)
1539790408.399 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790408.402 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539790408.402 * [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)))))
1539790408.402 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k)))
1539790408.402 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790408.404 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790408.407 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790408.410 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790408.413 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k)))
1539790408.413 * [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)))))
1539790408.413 * * * * [misc]progress:  [ 40 / 74 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))>
1539790408.413 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539790408.413 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790408.415 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790408.418 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790408.420 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790408.423 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539790408.423 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))))
1539790408.423 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k))
1539790408.424 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790408.425 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790408.428 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790408.431 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790408.438 * [exit]simplify:  Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))
1539790408.438 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k))))
1539790408.438 * * * * [misc]progress:  [ 41 / 74 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k))))>
1539790408.438 * * * * [misc]progress:  [ 42 / 74 ] simplifiying candidate #<alt (λ (k n) (* (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (/ 1 (sqrt k))))>
1539790408.438 * * * * [misc]progress:  [ 43 / 74 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))))))>
1539790408.439 * * * * [misc]progress:  [ 44 / 74 ] 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))))>
1539790408.439 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539790408.439 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790408.440 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539790408.440 * [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))))
1539790408.440 * * * * [misc]progress:  [ 45 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539790408.440 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539790408.440 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790408.441 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539790408.441 * [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))))
1539790408.441 * * * * [misc]progress:  [ 46 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))>
1539790408.442 * [enter]simplify:  Simplifying (sqrt k)
1539790408.442 * * [misc]simplify:  iters left: 1 (2 enodes)
1539790408.442 * [exit]simplify:  Simplified to (sqrt k)
1539790408.442 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt k)))
1539790408.442 * * * * [misc]progress:  [ 47 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))>
1539790408.443 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790408.443 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790408.445 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790408.448 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790408.453 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790408.458 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790408.458 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))
1539790408.458 * * * * [misc]progress:  [ 48 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539790408.458 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790408.458 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790408.460 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790408.464 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790408.469 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790408.474 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790408.474 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539790408.474 * * * * [misc]progress:  [ 49 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) 1) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539790408.474 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) 1)
1539790408.474 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790408.477 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790408.483 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790408.489 * * [misc]simplify:  iters left: 3 (27 enodes)
1539790408.494 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790408.494 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539790408.495 * * * * [misc]progress:  [ 50 / 74 ] 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)))))>
1539790408.495 * [enter]simplify:  Simplifying (* (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) 0))
1539790408.495 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790408.498 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790408.503 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790408.509 * * [misc]simplify:  iters left: 3 (29 enodes)
1539790408.515 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790408.515 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539790408.515 * * * * [misc]progress:  [ 51 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.516 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) 1/2)
1539790408.516 * * [misc]simplify:  iters left: 6 (8 enodes)
1539790408.518 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790408.524 * * [misc]simplify:  iters left: 4 (33 enodes)
1539790408.534 * * [misc]simplify:  iters left: 3 (60 enodes)
1539790408.552 * * [misc]simplify:  iters left: 2 (85 enodes)
1539790408.573 * * [misc]simplify:  iters left: 1 (87 enodes)
1539790408.590 * [exit]simplify:  Simplified to (* (log (* (* PI n) 2)) 1/2)
1539790408.591 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (* (exp (* (log (* (* PI n) 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539790408.591 * * * * [misc]progress:  [ 52 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.591 * * * * [misc]progress:  [ 53 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) (* 1 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.591 * [enter]simplify:  Simplifying (* PI (* n 2))
1539790408.591 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.593 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.596 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.600 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.603 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539790408.603 * [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)))
1539790408.604 * * * * [misc]progress:  [ 54 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* (pow PI 1/2) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.604 * [enter]simplify:  Simplifying (pow PI 1/2)
1539790408.604 * * [misc]simplify:  iters left: 1 (3 enodes)
1539790408.604 * [exit]simplify:  Simplified to (sqrt PI)
1539790408.604 * [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)))
1539790408.604 * * * * [misc]progress:  [ 55 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.604 * * * * [misc]progress:  [ 56 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (pow (* PI (* n 2)) 1/2) 1) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.604 * * * * [misc]progress:  [ 57 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (log (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.604 * * * * [misc]progress:  [ 58 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (log (exp (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.605 * * * * [misc]progress:  [ 59 / 74 ] 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)))>
1539790408.605 * * * * [misc]progress:  [ 60 / 74 ] 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)))>
1539790408.605 * * * * [misc]progress:  [ 61 / 74 ] 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)))>
1539790408.605 * * * * [misc]progress:  [ 62 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (* 1 (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.605 * * * * [misc]progress:  [ 63 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539790408.605 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.605 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.606 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.607 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.609 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.611 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.611 * [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)))
1539790408.611 * * * * [misc]progress:  [ 64 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539790408.612 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.612 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.612 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.614 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.616 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.618 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.618 * [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)))
1539790408.618 * * * * [misc]progress:  [ 65 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt k)))>
1539790408.618 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.618 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.619 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.621 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.623 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.625 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.625 * [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)))
1539790408.625 * * * * [misc]progress:  [ 66 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.625 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.625 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.626 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.627 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.629 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.631 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.631 * [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)))
1539790408.631 * * * * [misc]progress:  [ 67 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.631 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.632 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.632 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.634 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.636 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.638 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.638 * [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)))
1539790408.638 * * * * [misc]progress:  [ 68 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.638 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790408.638 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790408.639 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790408.640 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790408.642 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790408.646 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790408.646 * [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)))
1539790408.646 * * * * [misc]progress:  [ 69 / 74 ] 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)))))))))))))))>
1539790408.646 * [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))))))))))))))
1539790408.646 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790408.647 * * * * [misc]progress:  [ 70 / 74 ] 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))))))))>
1539790408.647 * [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)))))))
1539790408.647 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790408.647 * * * * [misc]progress:  [ 71 / 74 ] 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))))))))>
1539790408.647 * [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)))))))
1539790408.647 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790408.647 * * * * [misc]progress:  [ 72 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.647 * [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790408.648 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790408.652 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790408.660 * * [misc]simplify:  iters left: 4 (43 enodes)
1539790408.674 * * [misc]simplify:  iters left: 3 (84 enodes)
1539790408.703 * * [misc]simplify:  iters left: 2 (136 enodes)
1539790408.722 * * [misc]simplify:  iters left: 1 (169 enodes)
1539790408.738 * [exit]simplify:  Simplified to (sqrt (* (* 2 PI) n))
1539790408.738 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* (* 2 PI) n)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539790408.738 * * * * [misc]progress:  [ 73 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790408.738 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539790408.738 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790408.741 * * [misc]simplify:  iters left: 5 (27 enodes)
1539790408.746 * * [misc]simplify:  iters left: 4 (39 enodes)
1539790408.752 * * [misc]simplify:  iters left: 3 (71 enodes)
1539790408.765 * * [misc]simplify:  iters left: 2 (149 enodes)
1539790408.811 * * [misc]simplify:  iters left: 1 (361 enodes)
1539790409.079 * [exit]simplify:  Simplified to (sqrt (* PI (* n 2)))
1539790409.079 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))
1539790409.079 * * * * [misc]progress:  [ 74 / 74 ] simplifiying candidate #<alt (λ (k n) (/ (* (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt k)))>
1539790409.079 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539790409.080 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790409.085 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790409.093 * * [misc]simplify:  iters left: 4 (40 enodes)
1539790409.108 * * [misc]simplify:  iters left: 3 (87 enodes)
1539790409.144 * * [misc]simplify:  iters left: 2 (232 enodes)
1539790409.266 * [exit]simplify:  Simplified to (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2))
1539790409.266 * [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)))
1539790409.266 * * * [misc]progress:  adding candidates to table
1539790410.082 * * [misc]progress:  iteration 3 / 4
1539790410.082 * * * [misc]progress:  picking best candidate
1539790410.130 * * * * [misc]pick:  Picked  #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790410.130 * * * [misc]progress:  localizing error
1539790410.150 * * * [misc]progress:  generating rewritten candidates
1539790410.150 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 1 2 1)
1539790410.155 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 1 1)
1539790410.160 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2)
1539790410.180 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 1 1)
1539790410.182 * * * [misc]progress:  generating series expansions
1539790410.183 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 1 2 1)
1539790410.183 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539790410.183 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790410.183 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.183 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.183 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.183 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.183 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.183 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.183 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.183 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.183 * [misc]backup-simplify:  Simplify PI into PI
1539790410.183 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.183 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.183 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.183 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.183 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.183 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.183 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.183 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.183 * [misc]backup-simplify:  Simplify PI into PI
1539790410.183 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.184 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.184 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.184 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.185 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.185 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.185 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790410.186 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790410.186 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.187 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.188 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790410.188 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.189 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.190 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790410.190 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.192 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.194 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790410.194 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.196 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.198 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790410.198 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.200 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790410.206 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790410.206 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.206 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790410.207 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539790410.207 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790410.207 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.207 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.207 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.207 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.207 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.207 * [misc]backup-simplify:  Simplify PI into PI
1539790410.207 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.207 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.207 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.207 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.207 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.207 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.207 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.207 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.207 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.207 * [misc]backup-simplify:  Simplify PI into PI
1539790410.207 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.207 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.207 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.208 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.208 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.208 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.209 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.210 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.210 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.211 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.212 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.212 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.214 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.216 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.216 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.218 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.220 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.220 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.221 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.223 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.223 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.224 * [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
1539790410.226 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.226 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.226 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790410.226 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539790410.226 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790410.226 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.226 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.226 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.226 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.226 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.226 * [misc]backup-simplify:  Simplify PI into PI
1539790410.226 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.226 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.226 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.227 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.227 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.227 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.227 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.227 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.227 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.227 * [misc]backup-simplify:  Simplify PI into PI
1539790410.227 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.227 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.227 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.227 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.227 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.227 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.228 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.228 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790410.228 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.229 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.230 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.230 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.231 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.232 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.232 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.233 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.234 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.234 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.235 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.237 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.237 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.238 * [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
1539790410.240 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.240 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.240 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790410.240 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 1 1)
1539790410.241 * [misc]backup-simplify:  Simplify (* PI (* n 2)) into (* 2 (* n PI))
1539790410.241 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790410.241 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.241 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.241 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.241 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.241 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.241 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.241 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.241 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.241 * [misc]backup-simplify:  Simplify PI into PI
1539790410.241 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.241 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.241 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.241 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.241 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.241 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.241 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.241 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.241 * [misc]backup-simplify:  Simplify PI into PI
1539790410.241 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.241 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.241 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.242 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.242 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.242 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.243 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790410.244 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790410.244 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.245 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.246 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790410.246 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.247 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.249 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790410.249 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.251 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.254 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790410.254 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.257 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.261 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790410.261 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.265 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790410.270 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790410.270 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.270 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790410.270 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n))
1539790410.270 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790410.270 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.270 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.270 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.270 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.270 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.270 * [misc]backup-simplify:  Simplify PI into PI
1539790410.270 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.270 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.270 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.271 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.271 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.271 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.271 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.271 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.271 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.271 * [misc]backup-simplify:  Simplify PI into PI
1539790410.271 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.271 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.271 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.271 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.272 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.272 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.273 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.274 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.274 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.275 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.276 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.276 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.278 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.280 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.280 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.282 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.283 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.284 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.285 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.286 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.286 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.288 * [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
1539790410.290 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.290 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.290 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790410.290 * [misc]backup-simplify:  Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n))
1539790410.290 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790410.290 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.290 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.290 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.290 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.290 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.290 * [misc]backup-simplify:  Simplify PI into PI
1539790410.290 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.290 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.290 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.290 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.290 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.291 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.291 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.291 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.291 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.291 * [misc]backup-simplify:  Simplify PI into PI
1539790410.291 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.291 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.291 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.291 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.291 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.291 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.292 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.292 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790410.292 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.293 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.294 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.294 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.295 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.296 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.296 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.297 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.298 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.298 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.300 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.301 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.301 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.303 * [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
1539790410.305 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.305 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.305 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790410.305 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2)
1539790410.305 * [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)))
1539790410.305 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in (n k) around 0
1539790410.305 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in k
1539790410.305 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in k
1539790410.305 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.305 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.305 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.306 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.306 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.306 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.306 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.306 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.306 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.306 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.306 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.306 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.306 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790410.306 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.306 * [misc]backup-simplify:  Simplify n into n
1539790410.306 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.306 * [misc]backup-simplify:  Simplify PI into PI
1539790410.306 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790410.306 * [misc]backup-simplify:  Simplify (* 2 (* n PI)) into (* 2 (* n PI))
1539790410.306 * [misc]backup-simplify:  Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI)))
1539790410.306 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790410.306 * [misc]backup-simplify:  Simplify (* 0 (log (* 2 (* n PI)))) into 0
1539790410.307 * [misc]backup-simplify:  Simplify (+ (* n 0) (* 0 PI)) into 0
1539790410.307 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 (* n PI))) into 0
1539790410.307 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0
1539790410.307 * [misc]backup-simplify:  Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1539790410.308 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1/2 (log (* 2 (* n PI))))) into (* 1/2 (log (* 2 (* n PI))))
1539790410.308 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790410.308 * [misc]backup-simplify:  Simplify (/ (sqrt 2) 1) into (sqrt 2)
1539790410.308 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539790410.308 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539790410.308 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790410.308 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.308 * [misc]backup-simplify:  Simplify n into n
1539790410.308 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.308 * [misc]backup-simplify:  Simplify PI into PI
1539790410.308 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.308 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.308 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.308 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790410.309 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539790410.309 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.309 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539790410.309 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1539790410.309 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1539790410.309 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790410.309 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.309 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.309 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.310 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.310 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.310 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.310 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.310 * [misc]backup-simplify:  Simplify k into k
1539790410.310 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.310 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.310 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.310 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.310 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.310 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.310 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.310 * [misc]backup-simplify:  Simplify PI into PI
1539790410.310 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.311 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.311 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.312 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.312 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.312 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790410.313 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.314 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1539790410.314 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539790410.315 * [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))))
1539790410.315 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790410.315 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790410.315 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.315 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.315 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.315 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.315 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.315 * [misc]backup-simplify:  Simplify PI into PI
1539790410.315 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.315 * [misc]backup-simplify:  Simplify k into k
1539790410.316 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.316 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.316 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790410.316 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.317 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790410.317 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) (sqrt (/ (* n PI) k))) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (* n PI)) (* 1/2 k))) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.317 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.317 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.317 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.317 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) (* 1/2 k)) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of (exp (* (* 1/2 k) (log (* 2 (* n PI))))) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of (* (* 1/2 k) (log (* 2 (* n PI)))) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of (* 1/2 k) in n
1539790410.317 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.317 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.317 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.317 * [misc]backup-simplify:  Simplify k into k
1539790410.317 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790410.318 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.318 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.318 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.318 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.318 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.318 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.318 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.318 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.318 * [misc]backup-simplify:  Simplify PI into PI
1539790410.318 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.318 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.319 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.319 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.320 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.320 * [misc]backup-simplify:  Simplify (* 1/2 k) into (* 1/2 k)
1539790410.321 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.321 * [misc]backup-simplify:  Simplify (* (* 1/2 k) (+ (log n) (log (* 2 PI)))) into (* 1/2 (* (+ (log n) (log (* 2 PI))) k))
1539790410.322 * [misc]backup-simplify:  Simplify (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))
1539790410.323 * [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))))
1539790410.323 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790410.323 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790410.323 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.323 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.323 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.323 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.323 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.323 * [misc]backup-simplify:  Simplify PI into PI
1539790410.323 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.323 * [misc]backup-simplify:  Simplify k into k
1539790410.323 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.324 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.324 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790410.324 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.324 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790410.325 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0
1539790410.325 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790410.325 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.326 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790410.328 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790410.331 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.331 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 k)) into 0
1539790410.332 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.333 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790410.334 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790410.336 * [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
1539790410.337 * [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))))
1539790410.337 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)))) in k
1539790410.337 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k))) in k
1539790410.337 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.337 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.337 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k)) in k
1539790410.337 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.338 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.338 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.338 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.338 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.338 * [misc]backup-simplify:  Simplify PI into PI
1539790410.338 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) k) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.338 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.338 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.338 * [misc]backup-simplify:  Simplify n into n
1539790410.338 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.338 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.338 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.339 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.339 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.339 * [misc]backup-simplify:  Simplify PI into PI
1539790410.339 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.339 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.339 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.339 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.339 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.340 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.340 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539790410.341 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790410.341 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790410.342 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.345 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.345 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790410.346 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539790410.346 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539790410.347 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790410.347 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.347 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.347 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.347 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539790410.347 * [misc]backup-simplify:  Simplify (* 1 0) into 0
1539790410.348 * [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))))
1539790410.349 * [misc]backup-simplify:  Simplify (+ (* 1 1) (* (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI)))) 0)) into 1
1539790410.350 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539790410.350 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539790410.352 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790410.353 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790410.353 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.354 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790410.354 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539790410.355 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539790410.356 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790410.357 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.359 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790410.364 * [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
1539790410.364 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0
1539790410.365 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.366 * [misc]backup-simplify:  Simplify (+ (* (* 1/2 k) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790410.368 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790410.371 * [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
1539790410.372 * [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)))))
1539790410.372 * [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
1539790410.372 * [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
1539790410.372 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.372 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.372 * [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
1539790410.372 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1539790410.372 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.372 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.372 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.373 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.373 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.373 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.373 * [misc]backup-simplify:  Simplify PI into PI
1539790410.373 * [misc]taylor:  Taking taylor expansion of (* (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) (pow k 2)) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (* (+ (log n) (log (* 2 PI))) k))) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of (* 1/2 (* (+ (log n) (log (* 2 PI))) k)) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.373 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.373 * [misc]taylor:  Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.373 * [misc]backup-simplify:  Simplify n into n
1539790410.373 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.373 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.373 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.373 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.373 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.373 * [misc]backup-simplify:  Simplify PI into PI
1539790410.374 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.374 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.374 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.374 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.374 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.375 * [misc]backup-simplify:  Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.375 * [misc]backup-simplify:  Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0
1539790410.375 * [misc]backup-simplify:  Simplify (* 1/2 0) into 0
1539790410.376 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0
1539790410.376 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.378 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.378 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790410.378 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI)))
1539790410.379 * [misc]backup-simplify:  Simplify (+ (* 1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))
1539790410.379 * [misc]backup-simplify:  Simplify (exp 0) into 1
1539790410.379 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790410.379 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.379 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.379 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.379 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.380 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790410.380 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.380 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.380 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539790410.381 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790410.381 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539790410.382 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790410.382 * [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))))
1539790410.383 * [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)))
1539790410.384 * [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))))))
1539790410.386 * [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)))))))
1539790410.388 * [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)))))))
1539790410.390 * [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)))))))
1539790410.390 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539790410.391 * [misc]backup-simplify:  Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0
1539790410.392 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.395 * [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
1539790410.395 * [misc]backup-simplify:  Simplify (+ 0 0) into 0
1539790410.395 * [misc]backup-simplify:  Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (+ (* 0 1) (* 0 0))) into 0
1539790410.396 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 (+ (log n) (log (* 2 PI)))) (* 0 0))) into 0
1539790410.397 * [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))))
1539790410.399 * [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)))
1539790410.400 * [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)))))))
1539790410.401 * [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))))))))
1539790410.403 * [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))))))))
1539790410.404 * [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))))))))
1539790410.410 * [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))))))))))))))
1539790410.411 * [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)))
1539790410.411 * [misc]approximate:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in (n k) around 0
1539790410.411 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.411 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.411 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.411 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.411 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in k
1539790410.411 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in k
1539790410.412 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.412 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.412 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.412 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.412 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.412 * [misc]backup-simplify:  Simplify (/ 1/2 1) into 1/2
1539790410.412 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in k
1539790410.412 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in k
1539790410.412 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.412 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.412 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790410.412 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.412 * [misc]backup-simplify:  Simplify PI into PI
1539790410.412 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.412 * [misc]backup-simplify:  Simplify n into n
1539790410.412 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790410.412 * [misc]backup-simplify:  Simplify (* 2 (/ PI n)) into (* 2 (/ PI n))
1539790410.412 * [misc]backup-simplify:  Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n)))
1539790410.413 * [misc]backup-simplify:  Simplify (* 1/2 (log (* 2 (/ PI n)))) into (* 1/2 (log (* 2 (/ PI n))))
1539790410.413 * [misc]backup-simplify:  Simplify (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) into (exp (* 1/2 (/ (log (* 2 (/ PI n))) k)))
1539790410.413 * [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))))
1539790410.413 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539790410.413 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539790410.413 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790410.413 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.413 * [misc]backup-simplify:  Simplify PI into PI
1539790410.413 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.413 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.413 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.413 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.413 * [misc]backup-simplify:  Simplify n into n
1539790410.414 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790410.414 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790410.415 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790410.415 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.415 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539790410.415 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1539790410.415 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1539790410.415 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790410.415 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.415 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.415 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.416 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.416 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.416 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.416 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.416 * [misc]backup-simplify:  Simplify k into k
1539790410.416 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1539790410.416 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.416 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.416 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.416 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.416 * [misc]backup-simplify:  Simplify PI into PI
1539790410.416 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.416 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.416 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.417 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.417 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.417 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.418 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.418 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539790410.419 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.420 * [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))))
1539790410.420 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790410.420 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790410.420 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790410.420 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.420 * [misc]backup-simplify:  Simplify PI into PI
1539790410.420 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.420 * [misc]backup-simplify:  Simplify k into k
1539790410.420 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.420 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.420 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.420 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790410.420 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790410.420 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.420 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790410.421 * [misc]taylor:  Taking taylor expansion of (* (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) (sqrt (/ (* PI k) n))) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (/ (sqrt 2) (pow (* 2 (/ PI n)) (/ 1/2 k))) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.421 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.421 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.421 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.421 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) (/ 1/2 k)) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (exp (* (/ 1/2 k) (log (* 2 (/ PI n))))) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (* (/ 1/2 k) (log (* 2 (/ PI n)))) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (/ 1/2 k) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.421 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.421 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.421 * [misc]backup-simplify:  Simplify k into k
1539790410.421 * [misc]backup-simplify:  Simplify (/ 1/2 k) into (/ 1/2 k)
1539790410.421 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.421 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.421 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.421 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.421 * [misc]backup-simplify:  Simplify PI into PI
1539790410.422 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.422 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.422 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.422 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.422 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.422 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.423 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.424 * [misc]backup-simplify:  Simplify (* (/ 1/2 k) (- (log (* 2 PI)) (log n))) into (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))
1539790410.424 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.425 * [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))))
1539790410.425 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790410.425 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790410.425 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790410.425 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.425 * [misc]backup-simplify:  Simplify PI into PI
1539790410.425 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.425 * [misc]backup-simplify:  Simplify k into k
1539790410.425 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.425 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.425 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.425 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790410.425 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790410.425 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.426 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790410.427 * [misc]backup-simplify:  Simplify (* (/ (sqrt 2) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) 0) into 0
1539790410.427 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790410.427 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.427 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.428 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.428 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.431 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.431 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)))) into 0
1539790410.432 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.432 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790410.433 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790410.435 * [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
1539790410.435 * [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))))))
1539790410.435 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) in k
1539790410.435 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))) in k
1539790410.435 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.435 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.435 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (* PI k)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))) in k
1539790410.435 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539790410.435 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.435 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.435 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.436 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.436 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.436 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.436 * [misc]backup-simplify:  Simplify PI into PI
1539790410.436 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.436 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.436 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.436 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.436 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.436 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.436 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.436 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.436 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.436 * [misc]backup-simplify:  Simplify PI into PI
1539790410.436 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.436 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.437 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.437 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.437 * [misc]backup-simplify:  Simplify n into n
1539790410.437 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.437 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.437 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.437 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.437 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.437 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.437 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.438 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.438 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.438 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790410.438 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539790410.439 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790410.439 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539790410.440 * [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))))
1539790410.440 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.440 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539790410.440 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539790410.441 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539790410.441 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790410.442 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.443 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.446 * [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
1539790410.446 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790410.447 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.447 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790410.449 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790410.450 * [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
1539790410.451 * [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))))))
1539790410.451 * [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
1539790410.451 * [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
1539790410.451 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.451 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.451 * [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
1539790410.451 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539790410.451 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.451 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.451 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.451 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.452 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.452 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.452 * [misc]backup-simplify:  Simplify PI into PI
1539790410.452 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.452 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.452 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.452 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.452 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.452 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.452 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.452 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.452 * [misc]backup-simplify:  Simplify PI into PI
1539790410.452 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.452 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.452 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.452 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.452 * [misc]backup-simplify:  Simplify n into n
1539790410.452 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.452 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.453 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.453 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.453 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.453 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.453 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.454 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.454 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.454 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.454 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.455 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539790410.455 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790410.456 * [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))))
1539790410.457 * [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)))))
1539790410.458 * [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))))))
1539790410.459 * [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))))))
1539790410.459 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.459 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539790410.460 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.460 * [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)))
1539790410.460 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.461 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.462 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.467 * [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
1539790410.467 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790410.467 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.468 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790410.470 * [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
1539790410.472 * [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
1539790410.473 * [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))))))
1539790410.473 * [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
1539790410.473 * [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
1539790410.473 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.473 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.473 * [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
1539790410.473 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539790410.473 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.473 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.473 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.473 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.474 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.474 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.474 * [misc]backup-simplify:  Simplify PI into PI
1539790410.474 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.474 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.474 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.474 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.474 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.474 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.474 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.474 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.474 * [misc]backup-simplify:  Simplify PI into PI
1539790410.474 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.474 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.474 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.474 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.474 * [misc]backup-simplify:  Simplify n into n
1539790410.475 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.475 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.475 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.475 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.475 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.475 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.475 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.476 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.476 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.476 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.476 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539790410.477 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.477 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.477 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539790410.477 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539790410.478 * [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))))
1539790410.479 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539790410.480 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790410.481 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539790410.483 * [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
1539790410.484 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539790410.484 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790410.484 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.485 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.485 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539790410.486 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.487 * [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)))
1539790410.489 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.490 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.493 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.506 * [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
1539790410.507 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ 1/2 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790410.507 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.508 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539790410.515 * [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
1539790410.518 * [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
1539790410.521 * [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))))))
1539790410.521 * [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
1539790410.521 * [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
1539790410.521 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.521 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.521 * [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
1539790410.521 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539790410.521 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.521 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.521 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.521 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.521 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.521 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539790410.521 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539790410.521 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.521 * [misc]backup-simplify:  Simplify PI into PI
1539790410.521 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539790410.521 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.522 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.522 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.522 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.522 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.522 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.522 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.522 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.522 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.522 * [misc]backup-simplify:  Simplify PI into PI
1539790410.522 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.523 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.523 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.523 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.523 * [misc]backup-simplify:  Simplify n into n
1539790410.523 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.523 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.523 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.523 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.523 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.523 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.524 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.525 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.525 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.525 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.526 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539790410.526 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.527 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.527 * [misc]backup-simplify:  Simplify (* (pow PI 4) 1) into (pow PI 4)
1539790410.528 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4))
1539790410.529 * [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))))
1539790410.530 * [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)))))
1539790410.532 * [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))))))
1539790410.532 * [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))))))
1539790410.533 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539790410.533 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.534 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790410.536 * [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
1539790410.537 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ (* (sqrt 2) PI) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0
1539790410.537 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790410.537 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.537 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.537 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539790410.538 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.539 * [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)))
1539790410.539 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.540 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.542 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.553 * [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
1539790410.553 * [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
1539790410.554 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.554 * [misc]backup-simplify:  Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539790410.560 * [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
1539790410.562 * [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
1539790410.564 * [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))))))
1539790410.564 * [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
1539790410.564 * [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
1539790410.564 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.564 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.564 * [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
1539790410.564 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539790410.564 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.564 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.564 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.564 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.564 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.564 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539790410.564 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539790410.564 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.564 * [misc]backup-simplify:  Simplify PI into PI
1539790410.564 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.565 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.565 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.565 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.565 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.565 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.565 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.565 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.565 * [misc]backup-simplify:  Simplify PI into PI
1539790410.565 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.565 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.565 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.565 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.565 * [misc]backup-simplify:  Simplify n into n
1539790410.565 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.565 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.565 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.565 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.565 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.566 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.566 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.567 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.567 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.567 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.568 * [misc]backup-simplify:  Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4)
1539790410.568 * [misc]backup-simplify:  Simplify (* PI (pow PI 4)) into (pow PI 5)
1539790410.568 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.568 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.568 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.569 * [misc]backup-simplify:  Simplify (* (pow PI 5) 1) into (pow PI 5)
1539790410.569 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5))
1539790410.570 * [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))))
1539790410.570 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790410.570 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790410.571 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539790410.572 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539790410.573 * [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
1539790410.574 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (/ (* (sqrt 2) (pow PI 2)) (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0
1539790410.574 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790410.574 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.576 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539790410.577 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.580 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790410.583 * [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
1539790410.584 * [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
1539790410.585 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790410.585 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.585 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.586 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539790410.587 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.589 * [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)))
1539790410.591 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790410.593 * [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
1539790410.597 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.629 * [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
1539790410.629 * [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
1539790410.630 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.631 * [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
1539790410.645 * [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
1539790410.650 * [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
1539790410.653 * [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))))))
1539790410.653 * [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
1539790410.653 * [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
1539790410.653 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.653 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.653 * [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
1539790410.653 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539790410.653 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790410.653 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.653 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.654 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790410.654 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790410.654 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.654 * [misc]backup-simplify:  Simplify PI into PI
1539790410.654 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.654 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.654 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.654 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of 1/2 in k
1539790410.654 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.654 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of (log (* 2 PI)) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of (* 2 PI) in k
1539790410.654 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790410.654 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.654 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.654 * [misc]backup-simplify:  Simplify PI into PI
1539790410.655 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.655 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.655 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.655 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.655 * [misc]backup-simplify:  Simplify n into n
1539790410.655 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.655 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.655 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.655 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.655 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.656 * [misc]backup-simplify:  Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n))
1539790410.656 * [misc]backup-simplify:  Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n))
1539790410.657 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.658 * [misc]backup-simplify:  Simplify (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* 2 PI)) (log n)) k)))
1539790410.658 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.658 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539790410.659 * [misc]backup-simplify:  Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6)
1539790410.659 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.659 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.659 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790410.660 * [misc]backup-simplify:  Simplify (* (pow PI 6) 1) into (pow PI 6)
1539790410.660 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6))
1539790410.661 * [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))))
1539790410.662 * [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)))))
1539790410.663 * [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))))))
1539790410.664 * [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))))))
1539790410.667 * [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))))))))))
1539790410.667 * [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))))
1539790410.667 * [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
1539790410.667 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in k
1539790410.667 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in k
1539790410.667 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in k
1539790410.667 * [misc]taylor:  Taking taylor expansion of (* PI -2) in k
1539790410.667 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.667 * [misc]backup-simplify:  Simplify PI into PI
1539790410.667 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790410.667 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.667 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.667 * [misc]backup-simplify:  Simplify n into n
1539790410.668 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790410.668 * [misc]backup-simplify:  Simplify (/ (* -2 PI) n) into (* -2 (/ PI n))
1539790410.668 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539790410.668 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539790410.668 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (* -2 (/ PI n)) (/ 0 n)))) into 0
1539790410.669 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539790410.669 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790410.669 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790410.669 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.669 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.669 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.669 * [misc]backup-simplify:  Simplify (/ -1/2 1) into -1/2
1539790410.669 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790410.669 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.669 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.669 * [misc]backup-simplify:  Simplify PI into PI
1539790410.669 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.669 * [misc]backup-simplify:  Simplify n into n
1539790410.669 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790410.669 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539790410.669 * [misc]backup-simplify:  Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n)))
1539790410.669 * [misc]backup-simplify:  Simplify (* -1/2 (log (* -2 (/ PI n)))) into (* -1/2 (log (* -2 (/ PI n))))
1539790410.669 * [misc]backup-simplify:  Simplify (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) into (exp (* -1/2 (/ (log (* -2 (/ PI n))) k)))
1539790410.669 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790410.669 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790410.669 * [misc]backup-simplify:  Simplify -1 into -1
1539790410.669 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.669 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.669 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.670 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790410.670 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.670 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790410.670 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (log (* -2 (/ PI n))) k))) 0) into 0
1539790410.670 * [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)))))
1539790410.670 * [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)))))
1539790410.670 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1539790410.670 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539790410.671 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539790410.671 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539790410.671 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.671 * [misc]backup-simplify:  Simplify PI into PI
1539790410.671 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.671 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.671 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.671 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.671 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.671 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790410.671 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539790410.671 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.672 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790410.672 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539790410.672 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790410.672 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.672 * [misc]backup-simplify:  Simplify k into k
1539790410.672 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1539790410.672 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.672 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.672 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.672 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.672 * [misc]backup-simplify:  Simplify PI into PI
1539790410.672 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.672 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.672 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.672 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.672 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.673 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790410.673 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790410.673 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539790410.674 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790410.674 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790410.674 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790410.674 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790410.674 * [misc]backup-simplify:  Simplify -1 into -1
1539790410.674 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.674 * [misc]backup-simplify:  Simplify k into k
1539790410.674 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790410.674 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790410.674 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790410.674 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790410.674 * [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))))
1539790410.675 * [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)))))
1539790410.675 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (/ (* PI -2) n)) (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k)))) in n
1539790410.675 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI -2) n)) in n
1539790410.675 * [misc]taylor:  Taking taylor expansion of (/ (* PI -2) n) in n
1539790410.675 * [misc]taylor:  Taking taylor expansion of (* PI -2) in n
1539790410.675 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.675 * [misc]backup-simplify:  Simplify PI into PI
1539790410.675 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.675 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.675 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.675 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.675 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.675 * [misc]backup-simplify:  Simplify (* PI -2) into (* -2 PI)
1539790410.676 * [misc]backup-simplify:  Simplify (/ (* -2 PI) 1) into (* -2 PI)
1539790410.676 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.676 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790410.676 * [misc]taylor:  Taking taylor expansion of (* (pow (* -2 (/ PI n)) (/ -1/2 k)) (sqrt (/ -1 k))) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) (/ -1/2 k)) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of (exp (* (/ -1/2 k) (log (* -2 (/ PI n))))) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of (* (/ -1/2 k) (log (* -2 (/ PI n)))) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of (/ -1/2 k) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of -1/2 in n
1539790410.676 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790410.676 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.676 * [misc]backup-simplify:  Simplify k into k
1539790410.676 * [misc]backup-simplify:  Simplify (/ -1/2 k) into (/ -1/2 k)
1539790410.676 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790410.676 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790410.676 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.677 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.677 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.677 * [misc]backup-simplify:  Simplify PI into PI
1539790410.677 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.677 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.677 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.677 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.677 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.677 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790410.678 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790410.678 * [misc]backup-simplify:  Simplify (* (/ -1/2 k) (- (log (* -2 PI)) (log n))) into (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))
1539790410.678 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790410.678 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790410.678 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790410.678 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790410.679 * [misc]backup-simplify:  Simplify -1 into -1
1539790410.679 * [misc]taylor:  Taking taylor expansion of k in n
1539790410.679 * [misc]backup-simplify:  Simplify k into k
1539790410.679 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790410.679 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790410.679 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790410.679 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790410.679 * [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))))
1539790410.680 * [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)))))
1539790410.680 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))))) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.680 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.680 * [misc]taylor:  Taking taylor expansion of (/ PI (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.680 * [misc]backup-simplify:  Simplify PI into PI
1539790410.680 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790410.680 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790410.680 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790410.680 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790410.680 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.680 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.680 * [misc]backup-simplify:  Simplify PI into PI
1539790410.680 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.681 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790410.681 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.681 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.681 * [misc]backup-simplify:  Simplify n into n
1539790410.681 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.681 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.681 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.681 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.681 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.681 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790410.681 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539790410.682 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1539790410.682 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790410.682 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790410.682 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790410.682 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790410.682 * [misc]backup-simplify:  Simplify -1 into -1
1539790410.682 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.682 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.682 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.682 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790410.682 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.683 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790410.683 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539790410.684 * [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)))))
1539790410.684 * [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)))))
1539790410.684 * [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)))))
1539790410.685 * [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)))))
1539790410.685 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 -2)) into 0
1539790410.686 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* -2 PI) (/ 0 1)))) into 0
1539790410.687 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539790410.688 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.688 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790410.689 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790410.690 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1/2 k) (/ 0 k)))) into 0
1539790410.690 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790410.690 * [misc]backup-simplify:  Simplify (+ (* (/ -1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790410.691 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790410.692 * [misc]backup-simplify:  Simplify (+ (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) (* 0 (sqrt (/ -1 k)))) into 0
1539790410.695 * [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))))))
1539790410.695 * [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
1539790410.695 * [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
1539790410.695 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790410.695 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790410.695 * [misc]taylor:  Taking taylor expansion of (/ (pow PI 2) (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k)))) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.695 * [misc]backup-simplify:  Simplify PI into PI
1539790410.695 * [misc]taylor:  Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) (sqrt (/ -1 k))) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of -1/2 in k
1539790410.695 * [misc]backup-simplify:  Simplify -1/2 into -1/2
1539790410.695 * [misc]taylor:  Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (log (* -2 PI)) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of (* -2 PI) in k
1539790410.695 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790410.695 * [misc]backup-simplify:  Simplify -2 into -2
1539790410.695 * [misc]taylor:  Taking taylor expansion of PI in k
1539790410.695 * [misc]backup-simplify:  Simplify PI into PI
1539790410.696 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790410.696 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790410.696 * [misc]taylor:  Taking taylor expansion of (log n) in k
1539790410.696 * [misc]taylor:  Taking taylor expansion of n in k
1539790410.696 * [misc]backup-simplify:  Simplify n into n
1539790410.696 * [misc]backup-simplify:  Simplify (log n) into (log n)
1539790410.696 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.696 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.696 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.696 * [misc]backup-simplify:  Simplify (- (log n)) into (- (log n))
1539790410.697 * [misc]backup-simplify:  Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n))
1539790410.697 * [misc]backup-simplify:  Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n))
1539790410.698 * [misc]backup-simplify:  Simplify (* -1/2 (- (log (* -2 PI)) (log n))) into (* -1/2 (- (log (* -2 PI)) (log n)))
1539790410.699 * [misc]backup-simplify:  Simplify (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k)))
1539790410.699 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790410.699 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790410.699 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790410.699 * [misc]backup-simplify:  Simplify -1 into -1
1539790410.699 * [misc]taylor:  Taking taylor expansion of k in k
1539790410.699 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.699 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.699 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790410.699 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790410.700 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790410.700 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790410.700 * [misc]backup-simplify:  Simplify (* (exp (* -1/2 (/ (- (log (* -2 PI)) (log n)) k))) 0) into 0
1539790410.701 * [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)))))
1539790410.702 * [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)))))
1539790410.703 * [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)))))
1539790410.704 * [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))))))
1539790410.705 * [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))))))
1539790410.705 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539790410.707 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790410.707 * [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)))))
1539790410.710 * [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))))))
1539790410.712 * [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))))))
1539790410.712 * [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))))))
1539790410.715 * [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))))))))))
1539790410.715 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 1 1)
1539790410.716 * [misc]backup-simplify:  Simplify (pow (* PI (* n 2)) 1/2) into (pow (* 2 (* n PI)) 1/2)
1539790410.716 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in (n) around 0
1539790410.716 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.716 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.716 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.716 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.716 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.716 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.716 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.716 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.716 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.716 * [misc]backup-simplify:  Simplify PI into PI
1539790410.716 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.717 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.718 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.718 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.719 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.720 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.721 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790410.722 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790410.722 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (* n PI)) 1/2) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (* n PI))))) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (* n PI)))) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.722 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.722 * [misc]taylor:  Taking taylor expansion of (log (* 2 (* n PI))) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.722 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.722 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790410.722 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.722 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.722 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.722 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.722 * [misc]backup-simplify:  Simplify PI into PI
1539790410.722 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790410.722 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790410.723 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790410.724 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790410.724 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.725 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.725 * [misc]backup-simplify:  Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI))))
1539790410.726 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790410.727 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790410.728 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790410.729 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790410.732 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.732 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.733 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0
1539790410.735 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790410.735 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.736 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.738 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790410.743 * [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
1539790410.743 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.744 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0
1539790410.745 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790410.746 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.747 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.748 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790410.753 * [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
1539790410.753 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.754 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0
1539790410.756 * [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
1539790410.756 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.758 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.759 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790410.767 * [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
1539790410.768 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.768 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))))) into 0
1539790410.772 * [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
1539790410.772 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.775 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.778 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790410.796 * [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
1539790410.797 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.798 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))))) into 0
1539790410.806 * [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
1539790410.806 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.811 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790410.815 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790410.845 * [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
1539790410.846 * [misc]backup-simplify:  Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI)))
1539790410.847 * [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
1539790410.862 * [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
1539790410.862 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.862 * [misc]backup-simplify:  Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790410.863 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 n) 2)) 1/2) into (pow (* 2 (/ PI n)) 1/2)
1539790410.863 * [misc]approximate:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in (n) around 0
1539790410.863 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.863 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.863 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.863 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.863 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.863 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.863 * [misc]backup-simplify:  Simplify PI into PI
1539790410.863 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.863 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.863 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.864 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.864 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.864 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.865 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.866 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.866 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790410.866 * [misc]taylor:  Taking taylor expansion of (pow (* 2 (/ PI n)) 1/2) in n
1539790410.866 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* 2 (/ PI n))))) in n
1539790410.866 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* 2 (/ PI n)))) in n
1539790410.866 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790410.866 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790410.866 * [misc]taylor:  Taking taylor expansion of (log (* 2 (/ PI n))) in n
1539790410.867 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790410.867 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790410.867 * [misc]backup-simplify:  Simplify 2 into 2
1539790410.867 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790410.867 * [misc]taylor:  Taking taylor expansion of PI in n
1539790410.867 * [misc]backup-simplify:  Simplify PI into PI
1539790410.867 * [misc]taylor:  Taking taylor expansion of n in n
1539790410.867 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.867 * [misc]backup-simplify:  Simplify 1 into 1
1539790410.867 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790410.867 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790410.868 * [misc]backup-simplify:  Simplify (log (* 2 PI)) into (log (* 2 PI))
1539790410.868 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.869 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* 2 PI)) (log n))) into (* 1/2 (- (log (* 2 PI)) (log n)))
1539790410.870 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790410.870 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log n)))) into (exp (* 1/2 (- (log (* 2 PI)) (log n))))
1539790410.871 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790410.872 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790410.875 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0
1539790410.876 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.876 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0
1539790410.878 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790410.878 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.880 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.881 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790410.885 * [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
1539790410.886 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.887 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0
1539790410.889 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790410.889 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.890 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.892 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790410.899 * [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
1539790410.900 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.900 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0
1539790410.904 * [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
1539790410.904 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.906 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.908 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790410.920 * [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
1539790410.921 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.922 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0
1539790410.928 * [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
1539790410.928 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.931 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790410.933 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790410.953 * [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
1539790410.953 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790410.954 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))))) into 0
1539790410.963 * [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
1539790410.963 * [misc]backup-simplify:  Simplify 0 into 0
1539790410.966 * [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
1539790410.969 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790410.998 * [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
1539790410.999 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n))
1539790411.001 * [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
1539790411.014 * [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
1539790411.014 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.015 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539790411.015 * [misc]backup-simplify:  Simplify (pow (* PI (* (/ 1 (- n)) 2)) 1/2) into (pow (* -2 (/ PI n)) 1/2)
1539790411.015 * [misc]approximate:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in (n) around 0
1539790411.015 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790411.015 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790411.015 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790411.015 * [misc]backup-simplify:  Simplify -2 into -2
1539790411.015 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790411.015 * [misc]taylor:  Taking taylor expansion of PI in n
1539790411.015 * [misc]backup-simplify:  Simplify PI into PI
1539790411.015 * [misc]taylor:  Taking taylor expansion of n in n
1539790411.015 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.015 * [misc]backup-simplify:  Simplify 1 into 1
1539790411.016 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790411.016 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790411.017 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790411.017 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.018 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790411.018 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790411.018 * [misc]taylor:  Taking taylor expansion of (pow (* -2 (/ PI n)) 1/2) in n
1539790411.018 * [misc]taylor:  Taking taylor expansion of (exp (* 1/2 (log (* -2 (/ PI n))))) in n
1539790411.018 * [misc]taylor:  Taking taylor expansion of (* 1/2 (log (* -2 (/ PI n)))) in n
1539790411.018 * [misc]taylor:  Taking taylor expansion of 1/2 in n
1539790411.018 * [misc]backup-simplify:  Simplify 1/2 into 1/2
1539790411.018 * [misc]taylor:  Taking taylor expansion of (log (* -2 (/ PI n))) in n
1539790411.018 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790411.018 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790411.018 * [misc]backup-simplify:  Simplify -2 into -2
1539790411.018 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790411.019 * [misc]taylor:  Taking taylor expansion of PI in n
1539790411.019 * [misc]backup-simplify:  Simplify PI into PI
1539790411.019 * [misc]taylor:  Taking taylor expansion of n in n
1539790411.019 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.019 * [misc]backup-simplify:  Simplify 1 into 1
1539790411.019 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790411.019 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790411.020 * [misc]backup-simplify:  Simplify (log (* -2 PI)) into (log (* -2 PI))
1539790411.020 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.021 * [misc]backup-simplify:  Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n)))
1539790411.021 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790411.022 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log n)))) into (exp (* 1/2 (- (log (* -2 PI)) (log n))))
1539790411.023 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790411.023 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790411.026 * [misc]backup-simplify:  Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0
1539790411.027 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.027 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0
1539790411.029 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0
1539790411.029 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.031 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790411.032 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790411.037 * [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
1539790411.037 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.038 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0
1539790411.040 * [misc]backup-simplify:  Simplify (* (exp (* 1/2 (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
1539790411.040 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.042 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790411.044 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790411.051 * [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
1539790411.052 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.053 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0
1539790411.056 * [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
1539790411.056 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.058 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790411.060 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790411.073 * [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
1539790411.073 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.074 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))))) into 0
1539790411.083 * [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
1539790411.083 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.085 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790411.087 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790411.107 * [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
1539790411.107 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.108 * [misc]backup-simplify:  Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))))) into 0
1539790411.117 * [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
1539790411.117 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.119 * [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
1539790411.123 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790411.153 * [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
1539790411.154 * [misc]backup-simplify:  Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n))
1539790411.155 * [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
1539790411.166 * [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
1539790411.166 * [misc]backup-simplify:  Simplify 0 into 0
1539790411.167 * [misc]backup-simplify:  Simplify (exp (* 1/2 (- (log (* -2 PI)) (log (/ 1 (- n)))))) into (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539790411.167 * * * [misc]progress:  simplifying candidates
1539790411.167 * * * * [misc]progress:  [ 1 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (pow (* PI (* n 2)) 1) (/ k 2))) (sqrt k)))>
1539790411.167 * * * * [misc]progress:  [ 2 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (exp (log (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539790411.167 * * * * [misc]progress:  [ 3 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (log (exp (* PI (* n 2)))) (/ k 2))) (sqrt k)))>
1539790411.167 * * * * [misc]progress:  [ 4 / 148 ] 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)))>
1539790411.167 * * * * [misc]progress:  [ 5 / 148 ] 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)))>
1539790411.167 * * * * [misc]progress:  [ 6 / 148 ] 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)))>
1539790411.167 * * * * [misc]progress:  [ 7 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 1 (* PI (* n 2))) (/ k 2))) (sqrt k)))>
1539790411.167 * * * * [misc]progress:  [ 8 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (/ k 2))) (sqrt k)))>
1539790411.167 * * * * [misc]progress:  [ 9 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* n 2) PI) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 10 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 11 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (exp (log (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 12 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (log (exp (* PI (* n 2)))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 13 / 148 ] 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)))>
1539790411.168 * * * * [misc]progress:  [ 14 / 148 ] 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)))>
1539790411.168 * * * * [misc]progress:  [ 15 / 148 ] 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)))>
1539790411.168 * * * * [misc]progress:  [ 16 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 1 (* PI (* n 2))) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 17 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* PI n) 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 18 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* (* n 2) PI) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790411.168 * * * * [misc]progress:  [ 19 / 148 ] simplifiying candidate #<alt (λ (k n) (pow (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)) 1))>
1539790411.168 * * * * [misc]progress:  [ 20 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790411.168 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790411.168 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790411.171 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790411.177 * * [misc]simplify:  iters left: 4 (80 enodes)
1539790411.195 * * [misc]simplify:  iters left: 3 (223 enodes)
1539790411.310 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790411.310 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790411.310 * * * * [misc]progress:  [ 21 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790411.310 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790411.310 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790411.315 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790411.327 * * [misc]simplify:  iters left: 4 (80 enodes)
1539790411.362 * * [misc]simplify:  iters left: 3 (223 enodes)
1539790411.490 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790411.491 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790411.491 * * * * [misc]progress:  [ 22 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539790411.491 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539790411.491 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790411.496 * * [misc]simplify:  iters left: 5 (31 enodes)
1539790411.507 * * [misc]simplify:  iters left: 4 (72 enodes)
1539790411.541 * * [misc]simplify:  iters left: 3 (215 enodes)
1539790411.643 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790411.643 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790411.643 * * * * [misc]progress:  [ 23 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790411.644 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790411.644 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790411.648 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790411.657 * * [misc]simplify:  iters left: 4 (80 enodes)
1539790411.680 * * [misc]simplify:  iters left: 3 (223 enodes)
1539790411.795 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790411.795 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790411.795 * * * * [misc]progress:  [ 24 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790411.795 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790411.796 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790411.801 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790411.812 * * [misc]simplify:  iters left: 4 (80 enodes)
1539790411.843 * * [misc]simplify:  iters left: 3 (223 enodes)
1539790411.949 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790411.949 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790411.949 * * * * [misc]progress:  [ 25 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539790411.949 * [enter]simplify:  Simplifying (- (- (* (log (* PI (* n 2))) 1/2) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539790411.949 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790411.955 * * [misc]simplify:  iters left: 5 (31 enodes)
1539790411.962 * * [misc]simplify:  iters left: 4 (72 enodes)
1539790411.979 * * [misc]simplify:  iters left: 3 (215 enodes)
1539790412.082 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790412.082 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790412.082 * * * * [misc]progress:  [ 26 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790412.083 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790412.083 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790412.086 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790412.092 * * [misc]simplify:  iters left: 4 (81 enodes)
1539790412.121 * * [misc]simplify:  iters left: 3 (220 enodes)
1539790412.220 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790412.220 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790412.220 * * * * [misc]progress:  [ 27 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))))>
1539790412.220 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (* (log (* PI (* n 2))) (/ k 2))) (log (sqrt k)))
1539790412.220 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790412.223 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790412.229 * * [misc]simplify:  iters left: 4 (81 enodes)
1539790412.247 * * [misc]simplify:  iters left: 3 (220 enodes)
1539790412.344 * [exit]simplify:  Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))
1539790412.344 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k)))))
1539790412.344 * * * * [misc]progress:  [ 28 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539790412.344 * [enter]simplify:  Simplifying (- (- (log (pow (* PI (* n 2)) 1/2)) (log (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539790412.344 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790412.350 * * [misc]simplify:  iters left: 5 (30 enodes)
1539790412.360 * * [misc]simplify:  iters left: 4 (62 enodes)
1539790412.382 * * [misc]simplify:  iters left: 3 (164 enodes)
1539790412.469 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790412.469 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790412.469 * * * * [misc]progress:  [ 29 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))))>
1539790412.469 * [enter]simplify:  Simplifying (- (log (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (log (sqrt k)))
1539790412.470 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790412.472 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790412.476 * * [misc]simplify:  iters left: 4 (41 enodes)
1539790412.483 * * [misc]simplify:  iters left: 3 (80 enodes)
1539790412.511 * * [misc]simplify:  iters left: 2 (236 enodes)
1539790412.741 * [exit]simplify:  Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))
1539790412.741 * [misc]simplify:  Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k)))))
1539790412.741 * * * * [misc]progress:  [ 30 / 148 ] simplifiying candidate #<alt (λ (k n) (exp (log (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539790412.741 * * * * [misc]progress:  [ 31 / 148 ] simplifiying candidate #<alt (λ (k n) (log (exp (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))))>
1539790412.741 * * * * [misc]progress:  [ 32 / 148 ] 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)))))>
1539790412.742 * [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)))
1539790412.742 * * [misc]simplify:  iters left: 6 (19 enodes)
1539790412.749 * * [misc]simplify:  iters left: 5 (38 enodes)
1539790412.763 * * [misc]simplify:  iters left: 4 (109 enodes)
1539790412.832 * * [misc]simplify:  iters left: 3 (485 enodes)
1539790413.516 * [exit]simplify:  Simplified to (/ (* (sqrt (* (* 2 n) PI)) (* (/ 2 k) (/ (* PI n) (sqrt k)))) (pow (pow (* (* 2 n) PI) (/ k 2)) 3))
1539790413.516 * [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))))
1539790413.516 * * * * [misc]progress:  [ 33 / 148 ] 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)))))>
1539790413.517 * [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)))
1539790413.517 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790413.523 * * [misc]simplify:  iters left: 5 (37 enodes)
1539790413.534 * * [misc]simplify:  iters left: 4 (95 enodes)
1539790413.559 * * [misc]simplify:  iters left: 3 (262 enodes)
1539790413.782 * [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))
1539790413.782 * [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))))
1539790413.782 * * * * [misc]progress:  [ 34 / 148 ] 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)))))>
1539790413.782 * * * * [misc]progress:  [ 35 / 148 ] 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)))))>
1539790413.782 * * * * [misc]progress:  [ 36 / 148 ] 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)))))>
1539790413.783 * * * * [misc]progress:  [ 37 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (- (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (- (sqrt k))))>
1539790413.783 * * * * [misc]progress:  [ 38 / 148 ] 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)))))>
1539790413.783 * [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))))
1539790413.783 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790413.786 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790413.790 * * [misc]simplify:  iters left: 4 (43 enodes)
1539790413.796 * * [misc]simplify:  iters left: 3 (48 enodes)
1539790413.803 * * [misc]simplify:  iters left: 2 (51 enodes)
1539790413.809 * [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))))
1539790413.809 * [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)))))
1539790413.809 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790413.810 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790413.813 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790413.818 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790413.825 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790413.835 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))
1539790413.835 * [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)))))
1539790413.835 * * * * [misc]progress:  [ 39 / 148 ] 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)))))>
1539790413.835 * [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)))
1539790413.836 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790413.840 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790413.844 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790413.848 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790413.852 * [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)))
1539790413.852 * [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)))))
1539790413.853 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790413.853 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790413.855 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790413.858 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790413.862 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790413.865 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539790413.866 * [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)))))
1539790413.866 * * * * [misc]progress:  [ 40 / 148 ] 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))))>
1539790413.866 * [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)
1539790413.866 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790413.868 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790413.872 * * [misc]simplify:  iters left: 4 (36 enodes)
1539790413.878 * * [misc]simplify:  iters left: 3 (52 enodes)
1539790413.885 * * [misc]simplify:  iters left: 2 (78 enodes)
1539790413.899 * [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)))))
1539790413.899 * [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))))
1539790413.899 * [enter]simplify:  Simplifying (/ (cbrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790413.899 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790413.903 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790413.909 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790413.916 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790413.923 * [exit]simplify:  Simplified to (/ (cbrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))
1539790413.923 * [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))))
1539790413.923 * * * * [misc]progress:  [ 41 / 148 ] 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)))))>
1539790413.923 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790413.923 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790413.928 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790413.935 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790413.944 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790413.953 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790413.953 * [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)))))
1539790413.953 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790413.953 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790413.958 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790413.963 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790413.971 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790413.978 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (sqrt k)))
1539790413.978 * [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)))))
1539790413.978 * * * * [misc]progress:  [ 42 / 148 ] 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)))))>
1539790413.978 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790413.979 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790413.983 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790413.989 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790413.995 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790413.999 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539790413.999 * [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)))))
1539790413.999 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790413.999 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.002 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790414.005 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790414.009 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790414.012 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt (sqrt k)))
1539790414.012 * [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)))))
1539790414.012 * * * * [misc]progress:  [ 43 / 148 ] 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))))>
1539790414.013 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) 1)
1539790414.013 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.015 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.018 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790414.022 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790414.026 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1539790414.026 * [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))))
1539790414.026 * [enter]simplify:  Simplifying (/ (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790414.026 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.028 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790414.031 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790414.034 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790414.038 * [exit]simplify:  Simplified to (/ (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2)))) (sqrt k))
1539790414.038 * [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))))
1539790414.038 * * * * [misc]progress:  [ 44 / 148 ] 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)))))>
1539790414.038 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790414.038 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790414.040 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790414.042 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790414.046 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790414.050 * * [misc]simplify:  iters left: 2 (29 enodes)
1539790414.054 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790414.054 * [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)))))
1539790414.054 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539790414.054 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790414.056 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790414.058 * * [misc]simplify:  iters left: 4 (19 enodes)
1539790414.061 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539790414.061 * [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)))))
1539790414.061 * * * * [misc]progress:  [ 45 / 148 ] 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)))))>
1539790414.061 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539790414.062 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790414.063 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790414.065 * * [misc]simplify:  iters left: 4 (17 enodes)
1539790414.068 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (pow PI (/ k 2)))
1539790414.068 * [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)))))
1539790414.068 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539790414.068 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790414.070 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790414.072 * * [misc]simplify:  iters left: 4 (19 enodes)
1539790414.075 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539790414.075 * [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)))))
1539790414.075 * * * * [misc]progress:  [ 46 / 148 ] 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))))>
1539790414.075 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (pow PI (/ k 2))) 1)
1539790414.075 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790414.077 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790414.079 * * [misc]simplify:  iters left: 4 (18 enodes)
1539790414.084 * * [misc]simplify:  iters left: 3 (21 enodes)
1539790414.088 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow PI (/ k 2)))
1539790414.088 * [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))))
1539790414.088 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))
1539790414.088 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790414.091 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790414.096 * * [misc]simplify:  iters left: 4 (18 enodes)
1539790414.101 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539790414.101 * [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))))
1539790414.101 * * * * [misc]progress:  [ 47 / 148 ] 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)))))>
1539790414.101 * [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))))
1539790414.101 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790414.106 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790414.115 * * [misc]simplify:  iters left: 4 (44 enodes)
1539790414.128 * * [misc]simplify:  iters left: 3 (59 enodes)
1539790414.142 * * [misc]simplify:  iters left: 2 (71 enodes)
1539790414.160 * * [misc]simplify:  iters left: 1 (74 enodes)
1539790414.178 * [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)))))
1539790414.178 * [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)))))
1539790414.178 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790414.178 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.183 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.189 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.193 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790414.197 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
1539790414.198 * [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))))))
1539790414.198 * * * * [misc]progress:  [ 48 / 148 ] 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)))))>
1539790414.198 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539790414.198 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790414.201 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790414.204 * * [misc]simplify:  iters left: 4 (36 enodes)
1539790414.209 * * [misc]simplify:  iters left: 3 (41 enodes)
1539790414.215 * * [misc]simplify:  iters left: 2 (47 enodes)
1539790414.222 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* n (* 2 PI)) (/ k 2))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))))
1539790414.222 * [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)))))
1539790414.223 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790414.223 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.228 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.234 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.241 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790414.245 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (cbrt (pow (* (* PI n) 2) (/ k 2))))
1539790414.245 * [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))))))
1539790414.245 * * * * [misc]progress:  [ 49 / 148 ] 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))))>
1539790414.246 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539790414.246 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.248 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790414.252 * * [misc]simplify:  iters left: 4 (37 enodes)
1539790414.258 * * [misc]simplify:  iters left: 3 (43 enodes)
1539790414.262 * * [misc]simplify:  iters left: 2 (46 enodes)
1539790414.268 * [exit]simplify:  Simplified to (/ (sqrt PI) (* (cbrt (pow (* (* n 2) PI) (/ k 2))) (cbrt (pow (* (* n 2) PI) (/ k 2)))))
1539790414.268 * [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))))
1539790414.268 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790414.268 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.271 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.274 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790414.281 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.289 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1539790414.289 * [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))))))
1539790414.289 * * * * [misc]progress:  [ 50 / 148 ] 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)))))>
1539790414.289 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790414.289 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790414.294 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790414.302 * * [misc]simplify:  iters left: 4 (37 enodes)
1539790414.312 * * [misc]simplify:  iters left: 3 (44 enodes)
1539790414.322 * * [misc]simplify:  iters left: 2 (45 enodes)
1539790414.334 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1539790414.334 * [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)))))
1539790414.334 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790414.334 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.339 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.344 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.349 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790414.353 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
1539790414.353 * [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))))))
1539790414.353 * * * * [misc]progress:  [ 51 / 148 ] 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)))))>
1539790414.353 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790414.353 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.356 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.359 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.363 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790414.372 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1539790414.372 * [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)))))
1539790414.372 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790414.372 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.377 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.383 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.393 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790414.401 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (/ k 2))))
1539790414.401 * [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))))))
1539790414.402 * * * * [misc]progress:  [ 52 / 148 ] 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))))>
1539790414.402 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539790414.402 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.406 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790414.412 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790414.417 * * [misc]simplify:  iters left: 3 (37 enodes)
1539790414.421 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* n (* 2 PI)) (/ k 2))))
1539790414.421 * [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))))
1539790414.421 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790414.421 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.423 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.426 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790414.430 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.435 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (sqrt (pow (* (* n 2) PI) (/ k 2))))
1539790414.435 * [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))))))
1539790414.435 * * * * [misc]progress:  [ 53 / 148 ] 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)))))>
1539790414.435 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790414.435 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790414.437 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790414.440 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790414.443 * * [misc]simplify:  iters left: 3 (34 enodes)
1539790414.451 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))
1539790414.451 * [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)))))
1539790414.451 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790414.451 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.453 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.457 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790414.461 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.465 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (cbrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1539790414.465 * [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)))))
1539790414.465 * * * * [misc]progress:  [ 54 / 148 ] 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)))))>
1539790414.465 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) (sqrt (sqrt k)))
1539790414.465 * * [misc]simplify:  iters left: 5 (9 enodes)
1539790414.467 * * [misc]simplify:  iters left: 4 (14 enodes)
1539790414.469 * * [misc]simplify:  iters left: 3 (19 enodes)
1539790414.471 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (sqrt k)))
1539790414.471 * [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)))))
1539790414.471 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790414.471 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.473 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.476 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790414.480 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.486 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt (sqrt k))) (pow (* (* n 2) PI) (/ k 2)))
1539790414.486 * [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)))))
1539790414.486 * * * * [misc]progress:  [ 55 / 148 ] 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))))>
1539790414.486 * [enter]simplify:  Simplifying (/ (/ (pow PI 1/2) 1) 1)
1539790414.486 * * [misc]simplify:  iters left: 5 (6 enodes)
1539790414.488 * * [misc]simplify:  iters left: 4 (11 enodes)
1539790414.489 * [exit]simplify:  Simplified to (sqrt PI)
1539790414.489 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539790414.490 * [enter]simplify:  Simplifying (/ (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790414.490 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790414.494 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790414.499 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790414.507 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790414.514 * [exit]simplify:  Simplified to (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))
1539790414.515 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))
1539790414.515 * * * * [misc]progress:  [ 56 / 148 ] 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)))))>
1539790414.515 * [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))))
1539790414.515 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790414.520 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790414.529 * * [misc]simplify:  iters left: 4 (48 enodes)
1539790414.543 * * [misc]simplify:  iters left: 3 (84 enodes)
1539790414.569 * * [misc]simplify:  iters left: 2 (123 enodes)
1539790414.602 * * [misc]simplify:  iters left: 1 (141 enodes)
1539790414.625 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (pow PI (/ k 2))) (/ (cbrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))
1539790414.625 * [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)))))
1539790414.625 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539790414.625 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.628 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.631 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.635 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.639 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539790414.639 * [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))))))
1539790414.639 * * * * [misc]progress:  [ 57 / 148 ] 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)))))>
1539790414.639 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539790414.639 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790414.642 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790414.646 * * [misc]simplify:  iters left: 4 (40 enodes)
1539790414.652 * * [misc]simplify:  iters left: 3 (55 enodes)
1539790414.659 * * [misc]simplify:  iters left: 2 (63 enodes)
1539790414.667 * * [misc]simplify:  iters left: 1 (66 enodes)
1539790414.683 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (sqrt (sqrt k)) (pow PI (/ k 2))))
1539790414.683 * [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)))))
1539790414.683 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539790414.683 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.688 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790414.694 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790414.704 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.712 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539790414.712 * [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))))))
1539790414.713 * * * * [misc]progress:  [ 58 / 148 ] 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))))>
1539790414.713 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2))) 1)
1539790414.713 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790414.718 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790414.725 * * [misc]simplify:  iters left: 4 (40 enodes)
1539790414.737 * * [misc]simplify:  iters left: 3 (65 enodes)
1539790414.750 * * [misc]simplify:  iters left: 2 (146 enodes)
1539790414.785 * * [misc]simplify:  iters left: 1 (150 enodes)
1539790414.800 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))
1539790414.800 * [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))))
1539790414.801 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539790414.801 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790414.806 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790414.812 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790414.821 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790414.826 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539790414.826 * [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))))))
1539790414.827 * * * * [misc]progress:  [ 59 / 148 ] 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)))))>
1539790414.827 * [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))))
1539790414.827 * * [misc]simplify:  iters left: 6 (19 enodes)
1539790414.830 * * [misc]simplify:  iters left: 5 (34 enodes)
1539790414.836 * * [misc]simplify:  iters left: 4 (71 enodes)
1539790414.848 * * [misc]simplify:  iters left: 3 (140 enodes)
1539790414.887 * * [misc]simplify:  iters left: 2 (249 enodes)
1539790414.950 * * [misc]simplify:  iters left: 1 (308 enodes)
1539790415.067 * [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)))))
1539790415.068 * [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)))))
1539790415.068 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790415.068 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.073 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790415.081 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790415.090 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790415.099 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790415.099 * [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))))))
1539790415.099 * * * * [misc]progress:  [ 60 / 148 ] 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)))))>
1539790415.099 * [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)))
1539790415.099 * * [misc]simplify:  iters left: 6 (18 enodes)
1539790415.105 * * [misc]simplify:  iters left: 5 (31 enodes)
1539790415.115 * * [misc]simplify:  iters left: 4 (57 enodes)
1539790415.133 * * [misc]simplify:  iters left: 3 (89 enodes)
1539790415.161 * * [misc]simplify:  iters left: 2 (122 enodes)
1539790415.198 * * [misc]simplify:  iters left: 1 (139 enodes)
1539790415.243 * [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)))
1539790415.243 * [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)))))
1539790415.243 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790415.243 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.248 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790415.251 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790415.255 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790415.260 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790415.260 * [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))))))
1539790415.260 * * * * [misc]progress:  [ 61 / 148 ] 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))))>
1539790415.260 * [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)
1539790415.260 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790415.263 * * [misc]simplify:  iters left: 5 (32 enodes)
1539790415.268 * * [misc]simplify:  iters left: 4 (57 enodes)
1539790415.281 * * [misc]simplify:  iters left: 3 (96 enodes)
1539790415.311 * * [misc]simplify:  iters left: 2 (280 enodes)
1539790415.417 * * [misc]simplify:  iters left: 1 (343 enodes)
1539790415.458 * [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)))))
1539790415.458 * [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))))
1539790415.458 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790415.458 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790415.463 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790415.470 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790415.478 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790415.483 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539790415.483 * [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)))))
1539790415.483 * * * * [misc]progress:  [ 62 / 148 ] 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)))))>
1539790415.483 * [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))))
1539790415.483 * * [misc]simplify:  iters left: 6 (18 enodes)
1539790415.486 * * [misc]simplify:  iters left: 5 (29 enodes)
1539790415.491 * * [misc]simplify:  iters left: 4 (49 enodes)
1539790415.500 * * [misc]simplify:  iters left: 3 (85 enodes)
1539790415.518 * * [misc]simplify:  iters left: 2 (123 enodes)
1539790415.554 * * [misc]simplify:  iters left: 1 (142 enodes)
1539790415.591 * [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)))))
1539790415.591 * [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)))))
1539790415.591 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790415.591 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.594 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790415.597 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790415.601 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790415.607 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790415.607 * [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))))))
1539790415.607 * * * * [misc]progress:  [ 63 / 148 ] 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)))))>
1539790415.607 * [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)))
1539790415.607 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790415.610 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790415.617 * * [misc]simplify:  iters left: 4 (41 enodes)
1539790415.628 * * [misc]simplify:  iters left: 3 (55 enodes)
1539790415.643 * * [misc]simplify:  iters left: 2 (63 enodes)
1539790415.658 * * [misc]simplify:  iters left: 1 (66 enodes)
1539790415.670 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))
1539790415.670 * [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)))))
1539790415.670 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790415.670 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.672 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790415.676 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790415.680 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790415.685 * [exit]simplify:  Simplified to (/ (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790415.685 * [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))))))
1539790415.685 * * * * [misc]progress:  [ 64 / 148 ] 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))))>
1539790415.685 * [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)
1539790415.685 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.688 * * [misc]simplify:  iters left: 5 (27 enodes)
1539790415.693 * * [misc]simplify:  iters left: 4 (41 enodes)
1539790415.706 * * [misc]simplify:  iters left: 3 (66 enodes)
1539790415.725 * * [misc]simplify:  iters left: 2 (146 enodes)
1539790415.752 * * [misc]simplify:  iters left: 1 (150 enodes)
1539790415.760 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (pow (* (* 2 n) PI) (/ k 2))) (cbrt (sqrt (* (* 2 n) PI)))))
1539790415.760 * [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))))
1539790415.760 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790415.760 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790415.762 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790415.766 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790415.770 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790415.774 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539790415.774 * [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)))))
1539790415.774 * * * * [misc]progress:  [ 65 / 148 ] 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)))))>
1539790415.775 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790415.775 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790415.778 * * [misc]simplify:  iters left: 5 (29 enodes)
1539790415.783 * * [misc]simplify:  iters left: 4 (57 enodes)
1539790415.804 * * [misc]simplify:  iters left: 3 (124 enodes)
1539790415.838 * * [misc]simplify:  iters left: 2 (335 enodes)
1539790415.986 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))))
1539790415.986 * [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)))))
1539790415.986 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790415.986 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790415.989 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790415.992 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790415.996 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.001 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))
1539790416.001 * [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))))))
1539790416.001 * * * * [misc]progress:  [ 66 / 148 ] 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)))))>
1539790416.001 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) (sqrt (sqrt k)))
1539790416.001 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.004 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790416.008 * * [misc]simplify:  iters left: 4 (45 enodes)
1539790416.015 * * [misc]simplify:  iters left: 3 (89 enodes)
1539790416.034 * * [misc]simplify:  iters left: 2 (196 enodes)
1539790416.076 * * [misc]simplify:  iters left: 1 (301 enodes)
1539790416.151 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k)))
1539790416.151 * [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)))))
1539790416.151 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790416.151 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.154 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.157 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.162 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.171 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))
1539790416.171 * [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))))))
1539790416.171 * * * * [misc]progress:  [ 67 / 148 ] 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))))>
1539790416.171 * [enter]simplify:  Simplifying (/ (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1) 1)
1539790416.171 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790416.176 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.181 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790416.189 * * [misc]simplify:  iters left: 3 (43 enodes)
1539790416.200 * * [misc]simplify:  iters left: 2 (72 enodes)
1539790416.220 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539790416.220 * [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))))
1539790416.220 * [enter]simplify:  Simplifying (/ (/ (cbrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790416.220 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.224 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.231 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790416.239 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.247 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539790416.247 * [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))))))
1539790416.248 * * * * [misc]progress:  [ 68 / 148 ] 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)))))>
1539790416.248 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.248 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.253 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790416.262 * * [misc]simplify:  iters left: 4 (37 enodes)
1539790416.273 * * [misc]simplify:  iters left: 3 (44 enodes)
1539790416.283 * * [misc]simplify:  iters left: 2 (45 enodes)
1539790416.294 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (* (pow PI (/ k 2)) (cbrt (sqrt k))) (cbrt (sqrt k))))
1539790416.294 * [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)))))
1539790416.294 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539790416.295 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.299 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.306 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.314 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.322 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539790416.322 * [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))))))
1539790416.322 * * * * [misc]progress:  [ 69 / 148 ] 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)))))>
1539790416.323 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) (sqrt (sqrt k)))
1539790416.323 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.327 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.333 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.341 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.349 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow PI (/ k 2)) (sqrt (sqrt k))))
1539790416.349 * [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)))))
1539790416.350 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539790416.350 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.355 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.361 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.369 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.377 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539790416.377 * [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))))))
1539790416.377 * * * * [misc]progress:  [ 70 / 148 ] 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))))>
1539790416.378 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2))) 1)
1539790416.378 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.382 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.388 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.397 * * [misc]simplify:  iters left: 3 (37 enodes)
1539790416.402 * * [misc]simplify:  iters left: 2 (38 enodes)
1539790416.407 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))
1539790416.407 * [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))))
1539790416.407 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* n 2) (/ k 2))) (sqrt k))
1539790416.407 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.409 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.413 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790416.417 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.421 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539790416.421 * [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))))))
1539790416.421 * * * * [misc]progress:  [ 71 / 148 ] 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)))))>
1539790416.421 * [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))))
1539790416.421 * * [misc]simplify:  iters left: 6 (18 enodes)
1539790416.425 * * [misc]simplify:  iters left: 5 (29 enodes)
1539790416.434 * * [misc]simplify:  iters left: 4 (45 enodes)
1539790416.447 * * [misc]simplify:  iters left: 3 (60 enodes)
1539790416.463 * * [misc]simplify:  iters left: 2 (72 enodes)
1539790416.476 * * [misc]simplify:  iters left: 1 (75 enodes)
1539790416.485 * [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)))))
1539790416.485 * [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)))))
1539790416.485 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790416.485 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.487 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.491 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.495 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790416.500 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.500 * [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))))))
1539790416.500 * * * * [misc]progress:  [ 72 / 148 ] 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)))))>
1539790416.501 * [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)))
1539790416.501 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790416.506 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790416.515 * * [misc]simplify:  iters left: 4 (37 enodes)
1539790416.523 * * [misc]simplify:  iters left: 3 (42 enodes)
1539790416.529 * * [misc]simplify:  iters left: 2 (48 enodes)
1539790416.535 * [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))))
1539790416.535 * [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)))))
1539790416.535 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790416.535 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.538 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.544 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.552 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790416.561 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.561 * [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))))))
1539790416.561 * * * * [misc]progress:  [ 73 / 148 ] 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))))>
1539790416.561 * [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)
1539790416.561 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.566 * * [misc]simplify:  iters left: 5 (27 enodes)
1539790416.574 * * [misc]simplify:  iters left: 4 (38 enodes)
1539790416.580 * * [misc]simplify:  iters left: 3 (44 enodes)
1539790416.585 * * [misc]simplify:  iters left: 2 (49 enodes)
1539790416.590 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.591 * [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))))
1539790416.591 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790416.591 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.593 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.597 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.606 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.614 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539790416.614 * [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)))))
1539790416.614 * * * * [misc]progress:  [ 74 / 148 ] 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)))))>
1539790416.615 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.615 * * [misc]simplify:  iters left: 6 (17 enodes)
1539790416.620 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790416.628 * * [misc]simplify:  iters left: 4 (38 enodes)
1539790416.639 * * [misc]simplify:  iters left: 3 (44 enodes)
1539790416.650 * * [misc]simplify:  iters left: 2 (45 enodes)
1539790416.662 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* (* PI 2) n) (/ k 2))))
1539790416.662 * [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)))))
1539790416.662 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790416.662 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.665 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.669 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.673 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790416.677 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.677 * [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))))))
1539790416.677 * * * * [misc]progress:  [ 75 / 148 ] 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)))))>
1539790416.678 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790416.678 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.680 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.684 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.688 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790416.693 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.693 * [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)))))
1539790416.693 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790416.693 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.696 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.699 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790416.703 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790416.712 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.712 * [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))))))
1539790416.712 * * * * [misc]progress:  [ 76 / 148 ] 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))))>
1539790416.713 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539790416.713 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.718 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790416.724 * * [misc]simplify:  iters left: 4 (33 enodes)
1539790416.731 * * [misc]simplify:  iters left: 3 (39 enodes)
1539790416.735 * * [misc]simplify:  iters left: 2 (40 enodes)
1539790416.740 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790416.741 * [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))))
1539790416.741 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790416.741 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.743 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.746 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.751 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.755 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt (pow (* (* 2 n) PI) (/ k 2))) (sqrt k)))
1539790416.755 * [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)))))
1539790416.755 * * * * [misc]progress:  [ 77 / 148 ] 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)))))>
1539790416.755 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.756 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.758 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790416.762 * * [misc]simplify:  iters left: 4 (40 enodes)
1539790416.768 * * [misc]simplify:  iters left: 3 (50 enodes)
1539790416.774 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.774 * [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)))))
1539790416.774 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790416.774 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.776 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.780 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.784 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.793 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (cbrt (sqrt k))))
1539790416.793 * [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))))))
1539790416.793 * * * * [misc]progress:  [ 78 / 148 ] 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)))))>
1539790416.793 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) (sqrt (sqrt k)))
1539790416.793 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.798 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790416.804 * * [misc]simplify:  iters left: 4 (34 enodes)
1539790416.812 * * [misc]simplify:  iters left: 3 (35 enodes)
1539790416.816 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539790416.816 * [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)))))
1539790416.816 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790416.816 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790416.818 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790416.822 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790416.826 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.830 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (pow (* (* 2 n) PI) (/ k 2)) (sqrt (sqrt k))))
1539790416.830 * [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))))))
1539790416.830 * * * * [misc]progress:  [ 79 / 148 ] 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))))>
1539790416.830 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1) 1)
1539790416.831 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790416.835 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790416.837 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790416.841 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790416.844 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539790416.844 * [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))))
1539790416.844 * [enter]simplify:  Simplifying (/ (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790416.844 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.846 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.850 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790416.854 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.858 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539790416.858 * [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))))))
1539790416.858 * * * * [misc]progress:  [ 80 / 148 ] 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)))))>
1539790416.858 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.859 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790416.860 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790416.863 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790416.870 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790416.876 * * [misc]simplify:  iters left: 2 (29 enodes)
1539790416.884 * [exit]simplify:  Simplified to (/ (/ 1 (pow PI (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.884 * [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)))))
1539790416.884 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (cbrt (sqrt k)))
1539790416.884 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.889 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.895 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790416.903 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.911 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (cbrt (sqrt k))))
1539790416.911 * [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))))))
1539790416.911 * * * * [misc]progress:  [ 81 / 148 ] 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)))))>
1539790416.912 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k)))
1539790416.912 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790416.915 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790416.919 * * [misc]simplify:  iters left: 4 (17 enodes)
1539790416.923 * [exit]simplify:  Simplified to (/ (/ 1 (pow PI (/ k 2))) (sqrt (sqrt k)))
1539790416.923 * [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)))))
1539790416.924 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt (sqrt k)))
1539790416.924 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790416.928 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790416.934 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790416.943 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790416.951 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (pow (* 2 n) (/ k 2)) (sqrt (sqrt k))))
1539790416.951 * [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))))))
1539790416.951 * * * * [misc]progress:  [ 82 / 148 ] 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))))>
1539790416.952 * [enter]simplify:  Simplifying (/ (/ 1 (pow PI (/ k 2))) 1)
1539790416.952 * * [misc]simplify:  iters left: 6 (8 enodes)
1539790416.954 * * [misc]simplify:  iters left: 5 (12 enodes)
1539790416.958 * * [misc]simplify:  iters left: 4 (15 enodes)
1539790416.962 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790416.967 * [exit]simplify:  Simplified to (/ 1 (pow PI (/ k 2)))
1539790416.967 * [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))))
1539790416.968 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))) (sqrt k))
1539790416.968 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790416.972 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790416.978 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790416.986 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790416.994 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* 2 n) (/ k 2))))
1539790416.994 * [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))))))
1539790416.994 * * * * [misc]progress:  [ 83 / 148 ] 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)))))>
1539790416.994 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790416.995 * * [misc]simplify:  iters left: 6 (16 enodes)
1539790416.998 * * [misc]simplify:  iters left: 5 (28 enodes)
1539790417.002 * * [misc]simplify:  iters left: 4 (44 enodes)
1539790417.008 * * [misc]simplify:  iters left: 3 (59 enodes)
1539790417.016 * * [misc]simplify:  iters left: 2 (71 enodes)
1539790417.030 * * [misc]simplify:  iters left: 1 (74 enodes)
1539790417.045 * [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)))))
1539790417.045 * [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)))))
1539790417.046 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790417.046 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.051 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790417.057 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790417.065 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.073 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.073 * [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))))))
1539790417.074 * * * * [misc]progress:  [ 84 / 148 ] 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)))))>
1539790417.074 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) (sqrt (sqrt k)))
1539790417.074 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.079 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790417.086 * * [misc]simplify:  iters left: 4 (36 enodes)
1539790417.097 * * [misc]simplify:  iters left: 3 (40 enodes)
1539790417.107 * * [misc]simplify:  iters left: 2 (46 enodes)
1539790417.118 * [exit]simplify:  Simplified to (/ (/ (/ 1 (sqrt (sqrt k))) (cbrt (pow (* n (* 2 PI)) (/ k 2)))) (cbrt (pow (* n (* 2 PI)) (/ k 2))))
1539790417.118 * [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)))))
1539790417.119 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790417.119 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.124 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790417.130 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790417.138 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.146 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.146 * [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))))))
1539790417.146 * * * * [misc]progress:  [ 85 / 148 ] 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))))>
1539790417.147 * [enter]simplify:  Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2))))) 1)
1539790417.147 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.152 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790417.159 * * [misc]simplify:  iters left: 4 (34 enodes)
1539790417.169 * * [misc]simplify:  iters left: 3 (39 enodes)
1539790417.177 * * [misc]simplify:  iters left: 2 (40 enodes)
1539790417.185 * [exit]simplify:  Simplified to (/ 1 (* (cbrt (pow (* (* n PI) 2) (/ k 2))) (cbrt (pow (* (* n PI) 2) (/ k 2)))))
1539790417.185 * [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))))
1539790417.186 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (cbrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790417.186 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.191 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.197 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.205 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.214 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.214 * [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))))))
1539790417.214 * * * * [misc]progress:  [ 86 / 148 ] 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)))))>
1539790417.214 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.214 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.219 * * [misc]simplify:  iters left: 5 (25 enodes)
1539790417.226 * * [misc]simplify:  iters left: 4 (37 enodes)
1539790417.236 * * [misc]simplify:  iters left: 3 (43 enodes)
1539790417.247 * * [misc]simplify:  iters left: 2 (44 enodes)
1539790417.259 * [exit]simplify:  Simplified to (/ (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* (* 2 PI) n) (/ k 2))))
1539790417.259 * [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)))))
1539790417.259 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (cbrt (sqrt k)))
1539790417.259 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.264 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790417.270 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790417.278 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.287 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.287 * [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))))))
1539790417.287 * * * * [misc]progress:  [ 87 / 148 ] 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)))))>
1539790417.287 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790417.287 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.290 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790417.293 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790417.297 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.301 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
1539790417.301 * [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)))))
1539790417.301 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt (sqrt k)))
1539790417.301 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.304 * * [misc]simplify:  iters left: 5 (22 enodes)
1539790417.307 * * [misc]simplify:  iters left: 4 (31 enodes)
1539790417.312 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.316 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.316 * [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))))))
1539790417.316 * * * * [misc]progress:  [ 88 / 148 ] 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))))>
1539790417.316 * [enter]simplify:  Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2)))) 1)
1539790417.317 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.319 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.322 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790417.326 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790417.330 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2))))
1539790417.330 * [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))))
1539790417.330 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2)))) (sqrt k))
1539790417.331 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.333 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.337 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.341 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.345 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.345 * [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))))))
1539790417.345 * * * * [misc]progress:  [ 89 / 148 ] 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)))))>
1539790417.345 * [enter]simplify:  Simplifying (/ (/ 1 1) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.345 * * [misc]simplify:  iters left: 6 (7 enodes)
1539790417.346 * * [misc]simplify:  iters left: 5 (11 enodes)
1539790417.348 * [exit]simplify:  Simplified to (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.349 * [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)))))
1539790417.349 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790417.349 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.351 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.354 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.359 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.363 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539790417.363 * [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)))))
1539790417.363 * * * * [misc]progress:  [ 90 / 148 ] 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)))))>
1539790417.363 * [enter]simplify:  Simplifying (/ (/ 1 1) (sqrt (sqrt k)))
1539790417.363 * * [misc]simplify:  iters left: 4 (6 enodes)
1539790417.364 * * [misc]simplify:  iters left: 3 (8 enodes)
1539790417.365 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539790417.365 * [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)))))
1539790417.365 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790417.365 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.368 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.371 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.375 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.379 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539790417.379 * [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)))))
1539790417.379 * * * * [misc]progress:  [ 91 / 148 ] simplifiying candidate #<alt (λ (k n) (* (/ (/ 1 1) 1) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539790417.379 * [enter]simplify:  Simplifying (/ (/ 1 1) 1)
1539790417.379 * * [misc]simplify:  iters left: 4 (3 enodes)
1539790417.380 * * [misc]simplify:  iters left: 3 (5 enodes)
1539790417.380 * [exit]simplify:  Simplified to 1
1539790417.380 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539790417.381 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790417.381 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.383 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.386 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790417.392 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790417.400 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539790417.400 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539790417.400 * * * * [misc]progress:  [ 92 / 148 ] 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)))))>
1539790417.400 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.400 * * [misc]simplify:  iters left: 6 (6 enodes)
1539790417.402 * * [misc]simplify:  iters left: 5 (10 enodes)
1539790417.405 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539790417.405 * [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)))))
1539790417.406 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790417.406 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.410 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.416 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.425 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.433 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539790417.433 * [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)))))
1539790417.433 * * * * [misc]progress:  [ 93 / 148 ] 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)))))>
1539790417.433 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539790417.433 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.435 * * [misc]simplify:  iters left: 3 (7 enodes)
1539790417.436 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539790417.436 * [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)))))
1539790417.437 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790417.437 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.441 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.447 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.455 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.464 * [exit]simplify:  Simplified to (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k))) (pow (* (* 2 n) PI) (/ k 2)))
1539790417.464 * [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)))))
1539790417.464 * * * * [misc]progress:  [ 94 / 148 ] simplifiying candidate #<alt (λ (k n) (* (/ 1 1) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539790417.465 * [enter]simplify:  Simplifying (/ 1 1)
1539790417.466 * * [misc]simplify:  iters left: 2 (2 enodes)
1539790417.466 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790417.467 * [exit]simplify:  Simplified to 1
1539790417.467 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539790417.467 * [enter]simplify:  Simplifying (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790417.468 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.472 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.477 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790417.481 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790417.485 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))
1539790417.485 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* (* 2 n) PI) (/ k 2))))))
1539790417.485 * * * * [misc]progress:  [ 95 / 148 ] 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)))))>
1539790417.485 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.485 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.487 * * [misc]simplify:  iters left: 5 (19 enodes)
1539790417.490 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790417.494 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790417.497 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790417.497 * [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)))))
1539790417.497 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (cbrt (sqrt k)))
1539790417.498 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.500 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.503 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.512 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790417.520 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
1539790417.520 * [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)))))
1539790417.520 * * * * [misc]progress:  [ 96 / 148 ] 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)))))>
1539790417.520 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k)))
1539790417.520 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790417.523 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790417.528 * * [misc]simplify:  iters left: 4 (22 enodes)
1539790417.534 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790417.539 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539790417.539 * [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)))))
1539790417.540 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k)))
1539790417.540 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.544 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.549 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790417.556 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790417.564 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt (sqrt k))) (pow (* (* n PI) 2) (/ k 2)))
1539790417.564 * [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)))))
1539790417.564 * * * * [misc]progress:  [ 97 / 148 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) 1) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539790417.564 * [enter]simplify:  Simplifying (/ (pow (* PI (* n 2)) 1/2) 1)
1539790417.564 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790417.567 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790417.572 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790417.578 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790417.584 * [exit]simplify:  Simplified to (sqrt (* (* PI 2) n))
1539790417.584 * [misc]simplify:  Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))
1539790417.584 * [enter]simplify:  Simplifying (/ (/ 1 (pow (* PI (* n 2)) (/ k 2))) (sqrt k))
1539790417.584 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.586 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.590 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790417.594 * * [misc]simplify:  iters left: 3 (30 enodes)
1539790417.598 * [exit]simplify:  Simplified to (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))
1539790417.598 * [misc]simplify:  Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (/ 1 (sqrt k)) (pow (* (* n PI) 2) (/ k 2)))))
1539790417.598 * * * * [misc]progress:  [ 98 / 148 ] simplifiying candidate #<alt (λ (k n) (* 1 (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k))))>
1539790417.598 * * * * [misc]progress:  [ 99 / 148 ] simplifiying candidate #<alt (λ (k n) (* (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (/ 1 (sqrt k))))>
1539790417.598 * * * * [misc]progress:  [ 100 / 148 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539790417.598 * * * * [misc]progress:  [ 101 / 148 ] 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))))>
1539790417.598 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539790417.598 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790417.598 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539790417.599 * [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))))
1539790417.599 * * * * [misc]progress:  [ 102 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>
1539790417.599 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539790417.599 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790417.599 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539790417.599 * [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))))
1539790417.599 * * * * [misc]progress:  [ 103 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))>
1539790417.599 * [enter]simplify:  Simplifying (sqrt k)
1539790417.599 * * [misc]simplify:  iters left: 1 (2 enodes)
1539790417.600 * [exit]simplify:  Simplified to (sqrt k)
1539790417.600 * [misc]simplify:  Simplified (2 2) to (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) 1) (sqrt k)))
1539790417.600 * * * * [misc]progress:  [ 104 / 148 ] 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)))))))>
1539790417.600 * [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)))))
1539790417.600 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.602 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790417.605 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790417.608 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790417.611 * [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)))))
1539790417.612 * [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)))))))
1539790417.612 * * * * [misc]progress:  [ 105 / 148 ] 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)))))))>
1539790417.612 * [enter]simplify:  Simplifying (sqrt (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))
1539790417.612 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.614 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790417.618 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790417.624 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790417.631 * [exit]simplify:  Simplified to (sqrt (/ (sqrt (* (* 2 n) PI)) (pow (* (* 2 n) PI) (/ k 2))))
1539790417.631 * [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)))))))
1539790417.631 * * * * [misc]progress:  [ 106 / 148 ] 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))))))>
1539790417.631 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (pow PI (/ k 2)))
1539790417.631 * * [misc]simplify:  iters left: 5 (8 enodes)
1539790417.634 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790417.637 * [exit]simplify:  Simplified to (/ (sqrt PI) (pow PI (/ k 2)))
1539790417.637 * [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))))))
1539790417.637 * * * * [misc]progress:  [ 107 / 148 ] 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)))))))>
1539790417.637 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539790417.638 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.642 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.646 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790417.649 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790417.654 * [exit]simplify:  Simplified to (/ (/ (sqrt PI) (cbrt (pow (* (* n 2) PI) (/ k 2)))) (cbrt (pow (* (* n 2) PI) (/ k 2))))
1539790417.654 * [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)))))))
1539790417.654 * * * * [misc]progress:  [ 108 / 148 ] 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)))))))>
1539790417.654 * [enter]simplify:  Simplifying (/ (pow PI 1/2) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539790417.654 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.656 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790417.659 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790417.662 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790417.665 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (pow (* 2 (* n PI)) (/ k 2))))
1539790417.665 * [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)))))))
1539790417.665 * * * * [misc]progress:  [ 109 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow PI 1/2) 1) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539790417.665 * [enter]simplify:  Simplifying (/ (pow PI 1/2) 1)
1539790417.665 * * [misc]simplify:  iters left: 3 (5 enodes)
1539790417.666 * * [misc]simplify:  iters left: 2 (8 enodes)
1539790417.668 * * [misc]simplify:  iters left: 1 (10 enodes)
1539790417.669 * [exit]simplify:  Simplified to (sqrt PI)
1539790417.669 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* PI (* n 2)) (/ k 2))))))
1539790417.669 * * * * [misc]progress:  [ 110 / 148 ] 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))))))>
1539790417.669 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (pow PI (/ k 2)))
1539790417.669 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.671 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.674 * * [misc]simplify:  iters left: 4 (28 enodes)
1539790417.680 * * [misc]simplify:  iters left: 3 (31 enodes)
1539790417.689 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (pow PI (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))))
1539790417.689 * [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))))))
1539790417.689 * * * * [misc]progress:  [ 111 / 148 ] 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)))))))>
1539790417.689 * [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)))))
1539790417.689 * * [misc]simplify:  iters left: 6 (15 enodes)
1539790417.696 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790417.703 * * [misc]simplify:  iters left: 4 (41 enodes)
1539790417.709 * * [misc]simplify:  iters left: 3 (45 enodes)
1539790417.715 * * [misc]simplify:  iters left: 2 (48 enodes)
1539790417.722 * [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)))))
1539790417.722 * [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)))))))
1539790417.722 * * * * [misc]progress:  [ 112 / 148 ] 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)))))))>
1539790417.722 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539790417.722 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.724 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.727 * * [misc]simplify:  iters left: 4 (29 enodes)
1539790417.731 * * [misc]simplify:  iters left: 3 (32 enodes)
1539790417.736 * [exit]simplify:  Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.736 * [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)))))))
1539790417.736 * * * * [misc]progress:  [ 113 / 148 ] 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))))))>
1539790417.736 * [enter]simplify:  Simplifying (/ (* (cbrt (pow (* PI (* n 2)) 1/2)) (cbrt (pow (* PI (* n 2)) 1/2))) 1)
1539790417.736 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790417.738 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.741 * * [misc]simplify:  iters left: 4 (32 enodes)
1539790417.746 * * [misc]simplify:  iters left: 3 (48 enodes)
1539790417.752 * * [misc]simplify:  iters left: 2 (74 enodes)
1539790417.762 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539790417.762 * [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))))))
1539790417.762 * * * * [misc]progress:  [ 114 / 148 ] 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))))))>
1539790417.762 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (pow PI (/ k 2)))
1539790417.762 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.764 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790417.767 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790417.770 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790417.773 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow PI (/ k 2)))
1539790417.773 * [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))))))
1539790417.773 * * * * [misc]progress:  [ 115 / 148 ] 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)))))))>
1539790417.773 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539790417.773 * * [misc]simplify:  iters left: 6 (14 enodes)
1539790417.775 * * [misc]simplify:  iters left: 5 (21 enodes)
1539790417.779 * * [misc]simplify:  iters left: 4 (27 enodes)
1539790417.783 * * [misc]simplify:  iters left: 3 (29 enodes)
1539790417.787 * [exit]simplify:  Simplified to (/ (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (pow (* (* 2 n) PI) (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.787 * [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)))))))
1539790417.787 * * * * [misc]progress:  [ 116 / 148 ] 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)))))))>
1539790417.787 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539790417.787 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790417.790 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790417.792 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790417.795 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790417.799 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (pow (* (* 2 n) PI) (/ k 2))))
1539790417.799 * [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)))))))
1539790417.799 * * * * [misc]progress:  [ 117 / 148 ] 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))))))>
1539790417.799 * [enter]simplify:  Simplifying (/ (sqrt (pow (* PI (* n 2)) 1/2)) 1)
1539790417.799 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790417.801 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790417.804 * * [misc]simplify:  iters left: 4 (25 enodes)
1539790417.809 * * [misc]simplify:  iters left: 3 (26 enodes)
1539790417.814 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539790417.814 * [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))))))
1539790417.814 * * * * [misc]progress:  [ 118 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 (pow PI (/ k 2))) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* n 2) (/ k 2))))))>
1539790417.815 * [enter]simplify:  Simplifying (/ 1 (pow PI (/ k 2)))
1539790417.815 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790417.817 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790417.819 * [exit]simplify:  Simplified to (/ 1 (pow PI (/ k 2)))
1539790417.819 * [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))))))
1539790417.819 * * * * [misc]progress:  [ 119 / 148 ] 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)))))))>
1539790417.819 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (/ k 2))) (cbrt (pow (* PI (* n 2)) (/ k 2)))))
1539790417.819 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790417.822 * * [misc]simplify:  iters left: 5 (20 enodes)
1539790417.828 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790417.836 * * [misc]simplify:  iters left: 3 (27 enodes)
1539790417.843 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (pow (* (* n PI) 2) (/ k 2)))) (cbrt (pow (* (* n PI) 2) (/ k 2))))
1539790417.843 * [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)))))))
1539790417.843 * * * * [misc]progress:  [ 120 / 148 ] 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)))))))>
1539790417.843 * [enter]simplify:  Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (/ k 2))))
1539790417.844 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790417.847 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790417.852 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790417.858 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790417.864 * [exit]simplify:  Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ k 2))))
1539790417.864 * [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)))))))
1539790417.864 * * * * [misc]progress:  [ 121 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ 1 1) (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539790417.865 * [enter]simplify:  Simplifying (/ 1 1)
1539790417.865 * * [misc]simplify:  iters left: 2 (2 enodes)
1539790417.865 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790417.866 * [exit]simplify:  Simplified to 1
1539790417.866 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))
1539790417.866 * * * * [misc]progress:  [ 122 / 148 ] simplifiying candidate #<alt (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))))))>
1539790417.866 * * * * [misc]progress:  [ 123 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2))))))>
1539790417.866 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790417.866 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790417.869 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790417.872 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790417.877 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790417.882 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790417.882 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (/ 1 (pow (* PI (* n 2)) (/ k 2))))))
1539790417.882 * * * * [misc]progress:  [ 124 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (pow (* PI (* n 2)) 1/2) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))>
1539790417.882 * [enter]simplify:  Simplifying (pow (* PI (* n 2)) 1/2)
1539790417.882 * * [misc]simplify:  iters left: 5 (7 enodes)
1539790417.884 * * [misc]simplify:  iters left: 4 (12 enodes)
1539790417.888 * * [misc]simplify:  iters left: 3 (18 enodes)
1539790417.892 * * [misc]simplify:  iters left: 2 (20 enodes)
1539790417.897 * [exit]simplify:  Simplified to (sqrt (* (* 2 n) PI))
1539790417.897 * [misc]simplify:  Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2)))))
1539790417.898 * * * * [misc]progress:  [ 125 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.898 * [enter]simplify:  Simplifying (* (log (* PI (* n 2))) 1/2)
1539790417.898 * * [misc]simplify:  iters left: 6 (8 enodes)
1539790417.901 * * [misc]simplify:  iters left: 5 (16 enodes)
1539790417.907 * * [misc]simplify:  iters left: 4 (33 enodes)
1539790417.918 * * [misc]simplify:  iters left: 3 (60 enodes)
1539790417.936 * * [misc]simplify:  iters left: 2 (85 enodes)
1539790417.954 * * [misc]simplify:  iters left: 1 (87 enodes)
1539790417.963 * [exit]simplify:  Simplified to (* (log (* (* PI n) 2)) 1/2)
1539790417.963 * [misc]simplify:  Simplified (2 1 1 1) to (λ (k n) (/ (/ (exp (* (log (* (* PI n) 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539790417.963 * * * * [misc]progress:  [ 126 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* (log (* PI (* n 2))) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.963 * * * * [misc]progress:  [ 127 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) (* 1 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.963 * [enter]simplify:  Simplifying (* PI (* n 2))
1539790417.963 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.964 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790417.965 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790417.967 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790417.970 * [exit]simplify:  Simplified to (* (* 2 n) PI)
1539790417.970 * [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)))
1539790417.970 * * * * [misc]progress:  [ 128 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* (pow PI 1/2) (pow (* n 2) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.970 * [enter]simplify:  Simplifying (pow PI 1/2)
1539790417.970 * * [misc]simplify:  iters left: 1 (3 enodes)
1539790417.970 * [exit]simplify:  Simplified to (sqrt PI)
1539790417.970 * [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)))
1539790417.970 * * * * [misc]progress:  [ 129 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.971 * * * * [misc]progress:  [ 130 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (pow (* PI (* n 2)) 1/2) 1) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.971 * * * * [misc]progress:  [ 131 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (log (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.971 * * * * [misc]progress:  [ 132 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (log (exp (pow (* PI (* n 2)) 1/2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.971 * * * * [misc]progress:  [ 133 / 148 ] 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)))>
1539790417.971 * * * * [misc]progress:  [ 134 / 148 ] 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)))>
1539790417.971 * * * * [misc]progress:  [ 135 / 148 ] 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)))>
1539790417.971 * * * * [misc]progress:  [ 136 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (* 1 (pow (* PI (* n 2)) 1/2)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.971 * * * * [misc]progress:  [ 137 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539790417.971 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790417.971 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.972 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790417.973 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790417.976 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790417.978 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790417.978 * [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)))
1539790417.978 * * * * [misc]progress:  [ 138 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539790417.978 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790417.978 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.979 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790417.980 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790417.982 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790417.984 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790417.984 * [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)))
1539790417.984 * * * * [misc]progress:  [ 139 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* 2 (* n PI)) (/ k 2))) (sqrt k)))>
1539790417.985 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790417.985 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.985 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790417.987 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790417.991 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790417.995 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790417.995 * [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)))
1539790417.995 * * * * [misc]progress:  [ 140 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790417.995 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790417.995 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790417.997 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790418.000 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790418.004 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790418.009 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790418.009 * [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)))
1539790418.009 * * * * [misc]progress:  [ 141 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790418.009 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790418.009 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790418.011 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790418.014 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790418.018 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790418.022 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790418.022 * [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)))
1539790418.022 * * * * [misc]progress:  [ 142 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (pow (* 2 (* n PI)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790418.022 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790418.022 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790418.024 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790418.028 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790418.032 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790418.036 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790418.036 * [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)))
1539790418.036 * * * * [misc]progress:  [ 143 / 148 ] 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)))))))))))))))>
1539790418.037 * [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))))))))))))))
1539790418.037 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790418.037 * * * * [misc]progress:  [ 144 / 148 ] 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)))))))))))>
1539790418.037 * [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))))))))))
1539790418.037 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790418.037 * * * * [misc]progress:  [ 145 / 148 ] 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)))))))))))>
1539790418.037 * [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))))))))))
1539790418.037 * [misc]simplify:  Simplified (2) to (λ (k n) +nan.0)
1539790418.037 * * * * [misc]progress:  [ 146 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (+ (log n) (log (* 2 PI))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790418.038 * [enter]simplify:  Simplifying (exp (* 1/2 (+ (log n) (log (* 2 PI)))))
1539790418.038 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790418.042 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790418.051 * * [misc]simplify:  iters left: 4 (43 enodes)
1539790418.065 * * [misc]simplify:  iters left: 3 (84 enodes)
1539790418.092 * * [misc]simplify:  iters left: 2 (136 enodes)
1539790418.127 * * [misc]simplify:  iters left: 1 (169 enodes)
1539790418.153 * [exit]simplify:  Simplified to (sqrt (* (* 2 PI) n))
1539790418.153 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* (* 2 PI) n)) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539790418.153 * * * * [misc]progress:  [ 147 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790418.153 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* 2 PI)) (log (/ 1 n)))))
1539790418.154 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790418.156 * * [misc]simplify:  iters left: 5 (27 enodes)
1539790418.161 * * [misc]simplify:  iters left: 4 (39 enodes)
1539790418.168 * * [misc]simplify:  iters left: 3 (71 enodes)
1539790418.182 * * [misc]simplify:  iters left: 2 (149 enodes)
1539790418.227 * * [misc]simplify:  iters left: 1 (361 enodes)
1539790418.475 * [exit]simplify:  Simplified to (sqrt (* PI (* n 2)))
1539790418.475 * [misc]simplify:  Simplified (2 1 1) to (λ (k n) (/ (/ (sqrt (* PI (* n 2))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))
1539790418.475 * * * * [misc]progress:  [ 148 / 148 ] simplifiying candidate #<alt (λ (k n) (/ (/ (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n))))) (pow (* PI (* n 2)) (/ k 2))) (sqrt k)))>
1539790418.475 * [enter]simplify:  Simplifying (exp (* 1/2 (- (log (* -2 PI)) (log (/ -1 n)))))
1539790418.475 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790418.481 * * [misc]simplify:  iters left: 5 (24 enodes)
1539790418.489 * * [misc]simplify:  iters left: 4 (40 enodes)
1539790418.503 * * [misc]simplify:  iters left: 3 (87 enodes)
1539790418.541 * * [misc]simplify:  iters left: 2 (232 enodes)
1539790418.628 * [exit]simplify:  Simplified to (/ (sqrt (* PI -2)) (pow (/ -1 n) 1/2))
1539790418.628 * [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)))
1539790418.628 * * * [misc]progress:  adding candidates to table
1539790420.500 * * [misc]progress:  iteration 4 / 4
1539790420.500 * * * [misc]progress:  picking best candidate
1539790420.532 * * * * [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))))))>
1539790420.532 * * * [misc]progress:  localizing error
1539790420.612 * * * [misc]progress:  generating rewritten candidates
1539790420.612 * * * * [misc]progress:  [ 1 / 4 ] rewriting at (2 2 1)
1539790420.619 * * * * [misc]progress:  [ 2 / 4 ] rewriting at (2 1 2 1 1 1)
1539790420.620 * * * * [misc]progress:  [ 3 / 4 ] rewriting at (2 2 2 1 1)
1539790420.624 * * * * [misc]progress:  [ 4 / 4 ] rewriting at (2 2 1 1 1)
1539790420.628 * * * [misc]progress:  generating series expansions
1539790420.629 * * * * [misc]progress:  [ 1 / 4 ] generating series at (2 2 1)
1539790420.629 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 n) PI)) (sqrt k)) into (* (sqrt 2) (sqrt (/ (* n PI) k)))
1539790420.629 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in (n k) around 0
1539790420.629 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in k
1539790420.629 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.629 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.629 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.629 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.630 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.630 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in k
1539790420.630 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in k
1539790420.630 * [misc]taylor:  Taking taylor expansion of (* n PI) in k
1539790420.630 * [misc]taylor:  Taking taylor expansion of n in k
1539790420.630 * [misc]backup-simplify:  Simplify n into n
1539790420.630 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.630 * [misc]backup-simplify:  Simplify PI into PI
1539790420.630 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.630 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.630 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.630 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790420.630 * [misc]backup-simplify:  Simplify (/ (* n PI) 1) into (* n PI)
1539790420.630 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.631 * [misc]backup-simplify:  Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI))
1539790420.631 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n
1539790420.631 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790420.631 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.631 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.631 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.632 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.632 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790420.632 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790420.632 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.632 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.632 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.632 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.632 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.632 * [misc]backup-simplify:  Simplify PI into PI
1539790420.632 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.632 * [misc]backup-simplify:  Simplify k into k
1539790420.632 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790420.633 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790420.633 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790420.633 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.634 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790420.634 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* n PI) k))) in n
1539790420.634 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790420.634 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.634 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.634 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.634 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.634 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* n PI) k)) in n
1539790420.634 * [misc]taylor:  Taking taylor expansion of (/ (* n PI) k) in n
1539790420.634 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.634 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.634 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.634 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.634 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.634 * [misc]backup-simplify:  Simplify PI into PI
1539790420.634 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.634 * [misc]backup-simplify:  Simplify k into k
1539790420.635 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790420.635 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790420.635 * [misc]backup-simplify:  Simplify (/ PI k) into (/ PI k)
1539790420.636 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.636 * [misc]backup-simplify:  Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k))
1539790420.636 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539790420.636 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790420.636 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.637 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (/ PI k))) (* 0 0)) into (- (* +nan.0 (/ (* (sqrt 2) PI) k)))
1539790420.637 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) PI) k))) in k
1539790420.637 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) PI) k)) in k
1539790420.637 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.637 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.637 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) PI) k) in k
1539790420.637 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) PI) in k
1539790420.637 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.637 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.637 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.637 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.637 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.637 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.637 * [misc]backup-simplify:  Simplify PI into PI
1539790420.638 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.638 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.638 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.638 * [misc]backup-simplify:  Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI)
1539790420.639 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI)
1539790420.639 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI))
1539790420.640 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790420.641 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790420.642 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.643 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790420.643 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0
1539790420.643 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2)))
1539790420.645 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790420.646 * [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))))
1539790420.646 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2)))) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) (pow k 2))) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.646 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.646 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 2)) (pow k 2)) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.646 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.646 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.646 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.646 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790420.646 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.646 * [misc]backup-simplify:  Simplify PI into PI
1539790420.646 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790420.647 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.647 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.647 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.647 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790420.648 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790420.648 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.649 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2))
1539790420.649 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790420.650 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539790420.651 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790420.653 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)))) into 0
1539790420.654 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539790420.654 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.655 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.655 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0
1539790420.657 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) PI) (/ 0 1)))) into 0
1539790420.658 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) PI))) into 0
1539790420.658 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.658 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.658 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.660 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.660 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)) (* 0 (/ 0 k)))) into 0
1539790420.661 * [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)))
1539790420.661 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.663 * [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))))
1539790420.663 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3)))) in k
1539790420.663 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow k 3))) in k
1539790420.663 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.663 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.663 * [misc]taylor:  Taking taylor expansion of (/ (* (sqrt 2) (pow PI 3)) (pow k 3)) in k
1539790420.663 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in k
1539790420.663 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.663 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.663 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.663 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.664 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.664 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539790420.664 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.664 * [misc]backup-simplify:  Simplify PI into PI
1539790420.664 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539790420.664 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.664 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.664 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.664 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790420.665 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539790420.665 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539790420.665 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.666 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.667 * [misc]backup-simplify:  Simplify (/ (* (sqrt 2) (pow PI 3)) 1) into (* (sqrt 2) (pow PI 3))
1539790420.668 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.669 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790420.670 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539790420.671 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0
1539790420.672 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790420.673 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0
1539790420.673 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539790420.673 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790420.674 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539790420.674 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0
1539790420.674 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790420.676 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)))) into 0
1539790420.677 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 3)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.678 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0
1539790420.678 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.678 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.679 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.680 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790420.681 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0
1539790420.681 * [misc]backup-simplify:  Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1539790420.682 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (pow PI 2)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.684 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0
1539790420.684 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.684 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.685 * [misc]backup-simplify:  Simplify (* (- (* +nan.0 (* (sqrt 2) PI))) (* (/ 1 k) n)) into (* +nan.0 (/ (* (sqrt 2) (* n PI)) k))
1539790420.685 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (sqrt (/ 1 k))) into (* (sqrt 2) (sqrt (/ (* PI k) n)))
1539790420.685 * [misc]approximate:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in (n k) around 0
1539790420.685 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in k
1539790420.685 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.685 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.685 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.685 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.685 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.685 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in k
1539790420.685 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in k
1539790420.685 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790420.685 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.685 * [misc]backup-simplify:  Simplify PI into PI
1539790420.685 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.685 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.685 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.685 * [misc]taylor:  Taking taylor expansion of n in k
1539790420.686 * [misc]backup-simplify:  Simplify n into n
1539790420.686 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790420.686 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790420.686 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790420.686 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.687 * [misc]backup-simplify:  Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n))
1539790420.687 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.687 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.687 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.687 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.687 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.687 * [misc]backup-simplify:  Simplify PI into PI
1539790420.687 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.687 * [misc]backup-simplify:  Simplify k into k
1539790420.687 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.687 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.687 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.687 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790420.687 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790420.687 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.687 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790420.687 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (sqrt (/ (* PI k) n))) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in n
1539790420.687 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.687 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.688 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.688 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.688 * [misc]taylor:  Taking taylor expansion of (sqrt (/ (* PI k) n)) in n
1539790420.688 * [misc]taylor:  Taking taylor expansion of (/ (* PI k) n) in n
1539790420.688 * [misc]taylor:  Taking taylor expansion of (* PI k) in n
1539790420.688 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.688 * [misc]backup-simplify:  Simplify PI into PI
1539790420.688 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.688 * [misc]backup-simplify:  Simplify k into k
1539790420.688 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.688 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.688 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.688 * [misc]backup-simplify:  Simplify (* PI k) into (* PI k)
1539790420.688 * [misc]backup-simplify:  Simplify (/ (* PI k) 1) into (* PI k)
1539790420.688 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.688 * [misc]backup-simplify:  Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k))
1539790420.688 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539790420.688 * [misc]taylor:  Taking taylor expansion of 0 in k
1539790420.688 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.688 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.689 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) (* +nan.0 (* PI k))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* PI k))))
1539790420.689 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* PI k)))) in k
1539790420.689 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* PI k))) in k
1539790420.689 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.689 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.689 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* PI k)) in k
1539790420.689 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.689 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.689 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.689 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.689 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.689 * [misc]taylor:  Taking taylor expansion of (* PI k) in k
1539790420.689 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.689 * [misc]backup-simplify:  Simplify PI into PI
1539790420.689 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.689 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.689 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.689 * [misc]backup-simplify:  Simplify (* PI 0) into 0
1539790420.690 * [misc]backup-simplify:  Simplify (* (sqrt 2) 0) into 0
1539790420.690 * [misc]backup-simplify:  Simplify (* +nan.0 0) into 0
1539790420.690 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.690 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.690 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.690 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 k)) into 0
1539790420.690 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0
1539790420.691 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2)))
1539790420.691 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790420.692 * [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)))))
1539790420.692 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2))))) in k
1539790420.692 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 2) (pow k 2)))) in k
1539790420.692 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.692 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.692 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k
1539790420.692 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.692 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.692 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.692 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.696 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.696 * [misc]taylor:  Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k
1539790420.696 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790420.696 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.696 * [misc]backup-simplify:  Simplify PI into PI
1539790420.696 * [misc]taylor:  Taking taylor expansion of (pow k 2) in k
1539790420.697 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.697 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.697 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.697 * [misc]backup-simplify:  Simplify (+ (* PI 1) (* 0 0)) into PI
1539790420.698 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI)
1539790420.698 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790420.699 * [misc]backup-simplify:  Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790420.700 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI)))
1539790420.700 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.700 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0
1539790420.701 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.701 * [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)))
1539790420.701 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.702 * [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)))))
1539790420.702 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3))))) in k
1539790420.702 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 3) (pow k 3)))) in k
1539790420.702 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.702 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.702 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k
1539790420.702 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.702 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.702 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.702 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.703 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.703 * [misc]taylor:  Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k
1539790420.703 * [misc]taylor:  Taking taylor expansion of (pow PI 3) in k
1539790420.703 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.703 * [misc]backup-simplify:  Simplify PI into PI
1539790420.703 * [misc]taylor:  Taking taylor expansion of (pow k 3) in k
1539790420.703 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.703 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.703 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.703 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0
1539790420.704 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0
1539790420.705 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0
1539790420.706 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0
1539790420.706 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.706 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.706 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.706 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0
1539790420.707 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.708 * [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)))
1539790420.709 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.710 * [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)))))
1539790420.710 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4))))) in k
1539790420.710 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 4) (pow k 4)))) in k
1539790420.710 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.710 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.710 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k
1539790420.710 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.711 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.711 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.711 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.711 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.711 * [misc]taylor:  Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k
1539790420.711 * [misc]taylor:  Taking taylor expansion of (pow PI 4) in k
1539790420.711 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.711 * [misc]backup-simplify:  Simplify PI into PI
1539790420.711 * [misc]taylor:  Taking taylor expansion of (pow k 4) in k
1539790420.711 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.711 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.711 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.711 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790420.711 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.712 * [misc]backup-simplify:  Simplify (* (pow PI 2) 1) into (pow PI 2)
1539790420.712 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2))
1539790420.713 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (pow PI 2))) into (* +nan.0 (* (sqrt 2) (pow PI 2)))
1539790420.714 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539790420.715 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2))))
1539790420.715 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1539790420.715 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.716 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790420.717 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0
1539790420.718 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.718 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.718 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.718 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0
1539790420.719 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.720 * [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)))
1539790420.720 * [misc]backup-simplify:  Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.721 * [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)))))
1539790420.721 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5))))) in k
1539790420.721 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 5) (pow k 5)))) in k
1539790420.721 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.721 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.721 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k
1539790420.721 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.721 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.721 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.721 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.722 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.722 * [misc]taylor:  Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k
1539790420.722 * [misc]taylor:  Taking taylor expansion of (pow PI 5) in k
1539790420.722 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.722 * [misc]backup-simplify:  Simplify PI into PI
1539790420.722 * [misc]taylor:  Taking taylor expansion of (pow k 5) in k
1539790420.722 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.722 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.722 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.722 * [misc]backup-simplify:  Simplify (+ (* 1 0) (* 0 1)) into 0
1539790420.722 * [misc]backup-simplify:  Simplify (+ (* PI 0) (* 0 PI)) into 0
1539790420.723 * [misc]backup-simplify:  Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0
1539790420.723 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0
1539790420.724 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0
1539790420.724 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.724 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.725 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
1539790420.726 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.727 * [misc]backup-simplify:  Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790420.729 * [misc]backup-simplify:  Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))))) into 0
1539790420.729 * [misc]backup-simplify:  Simplify (- 0) into 0
1539790420.729 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.729 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.730 * [misc]backup-simplify:  Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0
1539790420.730 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.731 * [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)))
1539790420.733 * [misc]backup-simplify:  Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0
1539790420.736 * [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)))))
1539790420.736 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6))))) in k
1539790420.736 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow PI 6) (pow k 6)))) in k
1539790420.736 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.736 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.736 * [misc]taylor:  Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k
1539790420.736 * [misc]taylor:  Taking taylor expansion of (sqrt 2) in k
1539790420.736 * [misc]taylor:  Taking taylor expansion of 2 in k
1539790420.736 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.736 * [misc]backup-simplify:  Simplify (sqrt 2) into (sqrt 2)
1539790420.736 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt 2))) into 0
1539790420.736 * [misc]taylor:  Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k
1539790420.737 * [misc]taylor:  Taking taylor expansion of (pow PI 6) in k
1539790420.737 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.737 * [misc]backup-simplify:  Simplify PI into PI
1539790420.737 * [misc]taylor:  Taking taylor expansion of (pow k 6) in k
1539790420.737 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.737 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.737 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.737 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790420.738 * [misc]backup-simplify:  Simplify (* PI (pow PI 2)) into (pow PI 3)
1539790420.738 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.738 * [misc]backup-simplify:  Simplify (* 1 1) into 1
1539790420.738 * [misc]backup-simplify:  Simplify (* (pow PI 3) 1) into (pow PI 3)
1539790420.739 * [misc]backup-simplify:  Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3))
1539790420.740 * [misc]backup-simplify:  Simplify (* +nan.0 (* (sqrt 2) (pow PI 3))) into (* +nan.0 (* (sqrt 2) (pow PI 3)))
1539790420.741 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539790420.743 * [misc]backup-simplify:  Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3))))
1539790420.747 * [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)))))))
1539790420.747 * [misc]backup-simplify:  Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (sqrt (/ 1 (- k)))) into (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k)))
1539790420.747 * [misc]approximate:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in (n k) around 0
1539790420.747 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in k
1539790420.747 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k
1539790420.747 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in k
1539790420.747 * [misc]taylor:  Taking taylor expansion of -2 in k
1539790420.747 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.747 * [misc]taylor:  Taking taylor expansion of (/ PI n) in k
1539790420.747 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.747 * [misc]backup-simplify:  Simplify PI into PI
1539790420.748 * [misc]taylor:  Taking taylor expansion of n in k
1539790420.748 * [misc]backup-simplify:  Simplify n into n
1539790420.748 * [misc]backup-simplify:  Simplify (/ PI n) into (/ PI n)
1539790420.748 * [misc]backup-simplify:  Simplify (* -2 (/ PI n)) into (* -2 (/ PI n))
1539790420.748 * [misc]backup-simplify:  Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n)))
1539790420.748 * [misc]backup-simplify:  Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0
1539790420.748 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0
1539790420.748 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0
1539790420.748 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790420.748 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790420.748 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790420.748 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.748 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.748 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.748 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.749 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790420.749 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.749 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790420.749 * [misc]backup-simplify:  Simplify (/ (sqrt (* -2 (/ PI n))) +nan.0) into (* +nan.0 (sqrt (* -2 (/ PI n))))
1539790420.749 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n
1539790420.750 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539790420.750 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.750 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.750 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.750 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.750 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.750 * [misc]backup-simplify:  Simplify PI into PI
1539790420.750 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.750 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.750 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.750 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.750 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.750 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.751 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790420.751 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790420.751 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790420.751 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790420.751 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.751 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.751 * [misc]backup-simplify:  Simplify k into k
1539790420.751 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790420.751 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790420.751 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790420.752 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790420.752 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k))))
1539790420.752 * [misc]taylor:  Taking taylor expansion of (/ (sqrt (* -2 (/ PI n))) (sqrt (/ -1 k))) in n
1539790420.752 * [misc]taylor:  Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n
1539790420.752 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.752 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.752 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.752 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.752 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.752 * [misc]backup-simplify:  Simplify PI into PI
1539790420.752 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.752 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.752 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.752 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.753 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.753 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.753 * [misc]backup-simplify:  Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI)
1539790420.753 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in n
1539790420.753 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in n
1539790420.754 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790420.754 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.754 * [misc]taylor:  Taking taylor expansion of k in n
1539790420.754 * [misc]backup-simplify:  Simplify k into k
1539790420.754 * [misc]backup-simplify:  Simplify (/ -1 k) into (/ -1 k)
1539790420.754 * [misc]backup-simplify:  Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k))
1539790420.754 * [misc]backup-simplify:  Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0
1539790420.754 * [misc]backup-simplify:  Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0
1539790420.754 * [misc]backup-simplify:  Simplify (/ (* +nan.0 PI) (sqrt (/ -1 k))) into (* +nan.0 (/ PI (sqrt (/ -1 k))))
1539790420.754 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ PI (sqrt (/ -1 k)))) in k
1539790420.754 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.754 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.754 * [misc]taylor:  Taking taylor expansion of (/ PI (sqrt (/ -1 k))) in k
1539790420.755 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.755 * [misc]backup-simplify:  Simplify PI into PI
1539790420.755 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790420.755 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790420.755 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790420.755 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.755 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.755 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.755 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.755 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790420.755 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.756 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790420.756 * [misc]backup-simplify:  Simplify (/ PI +nan.0) into (* +nan.0 PI)
1539790420.756 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 PI)) into (* +nan.0 PI)
1539790420.756 * [misc]backup-simplify:  Simplify (* +nan.0 PI) into (* +nan.0 PI)
1539790420.758 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.758 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790420.760 * [misc]backup-simplify:  Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2))
1539790420.761 * [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)))))
1539790420.761 * [misc]taylor:  Taking taylor expansion of (- (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k))))) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of (* +nan.0 (/ (pow PI 2) (sqrt (/ -1 k)))) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of +nan.0 in k
1539790420.761 * [misc]backup-simplify:  Simplify +nan.0 into +nan.0
1539790420.761 * [misc]taylor:  Taking taylor expansion of (/ (pow PI 2) (sqrt (/ -1 k))) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of (pow PI 2) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of PI in k
1539790420.761 * [misc]backup-simplify:  Simplify PI into PI
1539790420.761 * [misc]taylor:  Taking taylor expansion of (sqrt (/ -1 k)) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of (/ -1 k) in k
1539790420.761 * [misc]taylor:  Taking taylor expansion of -1 in k
1539790420.761 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.761 * [misc]taylor:  Taking taylor expansion of k in k
1539790420.761 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.761 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.761 * [misc]backup-simplify:  Simplify (/ -1 1) into -1
1539790420.761 * [misc]backup-simplify:  Simplify (sqrt 0) into 0
1539790420.762 * [misc]backup-simplify:  Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
1539790420.762 * [misc]backup-simplify:  Simplify (* PI PI) into (pow PI 2)
1539790420.763 * [misc]backup-simplify:  Simplify (/ (pow PI 2) +nan.0) into (* +nan.0 (pow PI 2))
1539790420.763 * [misc]backup-simplify:  Simplify (* +nan.0 (* +nan.0 (pow PI 2))) into (* +nan.0 (pow PI 2))
1539790420.764 * [misc]backup-simplify:  Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2)))
1539790420.764 * [misc]backup-simplify:  Simplify (- (* +nan.0 (pow PI 2))) into (- (* +nan.0 (pow PI 2)))
1539790420.765 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1539790420.765 * [misc]backup-simplify:  Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
1539790420.766 * [misc]backup-simplify:  Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 PI) (/ +nan.0 +nan.0)))) into (- (* +nan.0 PI))
1539790420.767 * [misc]backup-simplify:  Simplify (+ (* +nan.0 (- (* +nan.0 PI))) (* 0 (* +nan.0 PI))) into (- (* +nan.0 PI))
1539790420.767 * [misc]backup-simplify:  Simplify (- (* +nan.0 PI)) into (- (* +nan.0 PI))
1539790420.768 * [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)))))))
1539790420.769 * * * * [misc]progress:  [ 2 / 4 ] generating series at (2 1 2 1 1 1)
1539790420.769 * [misc]backup-simplify:  Simplify (* n PI) into (* n PI)
1539790420.769 * [misc]approximate:  Taking taylor expansion of (* n PI) in (n) around 0
1539790420.769 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.769 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.769 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.769 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.769 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.769 * [misc]backup-simplify:  Simplify PI into PI
1539790420.769 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.769 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.769 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.769 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.769 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.769 * [misc]backup-simplify:  Simplify PI into PI
1539790420.769 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790420.769 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.770 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790420.770 * [misc]backup-simplify:  Simplify PI into PI
1539790420.770 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790420.770 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.771 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.771 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.773 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.773 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.774 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.774 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.776 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.776 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.778 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790420.778 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.778 * [misc]backup-simplify:  Simplify (* PI n) into (* n PI)
1539790420.779 * [misc]backup-simplify:  Simplify (* (/ 1 n) PI) into (/ PI n)
1539790420.779 * [misc]approximate:  Taking taylor expansion of (/ PI n) in (n) around 0
1539790420.779 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.779 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.779 * [misc]backup-simplify:  Simplify PI into PI
1539790420.779 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.779 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.779 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.779 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.779 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.779 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.779 * [misc]backup-simplify:  Simplify PI into PI
1539790420.779 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.779 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.779 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.779 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.779 * [misc]backup-simplify:  Simplify PI into PI
1539790420.780 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.780 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.781 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.781 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.782 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.782 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.783 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.783 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.784 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.784 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.786 * [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
1539790420.786 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.786 * [misc]backup-simplify:  Simplify (* PI (/ 1 (/ 1 n))) into (* n PI)
1539790420.786 * [misc]backup-simplify:  Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n))
1539790420.786 * [misc]approximate:  Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0
1539790420.786 * [misc]taylor:  Taking taylor expansion of (* -1 (/ PI n)) in n
1539790420.786 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790420.786 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.786 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.786 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.786 * [misc]backup-simplify:  Simplify PI into PI
1539790420.786 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.786 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.786 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.786 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.786 * [misc]taylor:  Taking taylor expansion of (* -1 (/ PI n)) in n
1539790420.786 * [misc]taylor:  Taking taylor expansion of -1 in n
1539790420.786 * [misc]backup-simplify:  Simplify -1 into -1
1539790420.786 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.786 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.786 * [misc]backup-simplify:  Simplify PI into PI
1539790420.786 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.786 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.786 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.787 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.787 * [misc]backup-simplify:  Simplify (* -1 PI) into (* -1 PI)
1539790420.787 * [misc]backup-simplify:  Simplify (* -1 PI) into (* -1 PI)
1539790420.788 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.788 * [misc]backup-simplify:  Simplify (+ (* -1 0) (* 0 PI)) into 0
1539790420.788 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.789 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.789 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.789 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.790 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.792 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.792 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.793 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.796 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.796 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.798 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.801 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.801 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.803 * [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
1539790420.807 * [misc]backup-simplify:  Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.807 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.807 * [misc]backup-simplify:  Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI)
1539790420.807 * * * * [misc]progress:  [ 3 / 4 ] generating series at (2 2 2 1 1)
1539790420.807 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1539790420.807 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790420.807 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790420.807 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.807 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.807 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.807 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.807 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.807 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.807 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.807 * [misc]backup-simplify:  Simplify PI into PI
1539790420.807 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790420.808 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.808 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.808 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.808 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.808 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.808 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.808 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.808 * [misc]backup-simplify:  Simplify PI into PI
1539790420.808 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790420.808 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790420.808 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.809 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790420.810 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790420.810 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.811 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790420.812 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790420.812 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.813 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.815 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790420.815 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.818 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.820 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790420.820 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.823 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.825 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790420.825 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.827 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.828 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790420.828 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.831 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790420.833 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790420.833 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.833 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790420.833 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1539790420.833 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790420.833 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790420.833 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.834 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.834 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.834 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.834 * [misc]backup-simplify:  Simplify PI into PI
1539790420.834 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.834 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.834 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.834 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.834 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790420.834 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.834 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.834 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.834 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.834 * [misc]backup-simplify:  Simplify PI into PI
1539790420.834 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.834 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.834 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.834 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.834 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.835 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.835 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.836 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790420.836 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.836 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.837 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.837 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.838 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.839 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.840 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.841 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.842 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.842 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.843 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.846 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.846 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.848 * [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
1539790420.851 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.852 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.852 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790420.852 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1539790420.852 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790420.852 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.852 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.852 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.852 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.852 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.852 * [misc]backup-simplify:  Simplify PI into PI
1539790420.852 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.852 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.852 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.853 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.853 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.853 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.853 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.853 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.853 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.853 * [misc]backup-simplify:  Simplify PI into PI
1539790420.853 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.853 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.853 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.853 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.853 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.854 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.855 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.855 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790420.855 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.857 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.858 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.858 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.859 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.860 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.861 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.862 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.864 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.864 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.866 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.869 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.869 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.871 * [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
1539790420.874 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.874 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.875 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790420.875 * * * * [misc]progress:  [ 4 / 4 ] generating series at (2 2 1 1 1)
1539790420.875 * [misc]backup-simplify:  Simplify (* (* 2 n) PI) into (* 2 (* n PI))
1539790420.875 * [misc]approximate:  Taking taylor expansion of (* 2 (* n PI)) in (n) around 0
1539790420.875 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790420.875 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.875 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.875 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.875 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.875 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.875 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.875 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.875 * [misc]backup-simplify:  Simplify PI into PI
1539790420.875 * [misc]taylor:  Taking taylor expansion of (* 2 (* n PI)) in n
1539790420.875 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.875 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.875 * [misc]taylor:  Taking taylor expansion of (* n PI) in n
1539790420.875 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.875 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.875 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.875 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.875 * [misc]backup-simplify:  Simplify PI into PI
1539790420.876 * [misc]backup-simplify:  Simplify (* 0 PI) into 0
1539790420.876 * [misc]backup-simplify:  Simplify (* 2 0) into 0
1539790420.876 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.877 * [misc]backup-simplify:  Simplify (+ (* 0 0) (* 1 PI)) into PI
1539790420.877 * [misc]backup-simplify:  Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI)
1539790420.877 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.878 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0
1539790420.879 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0
1539790420.879 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.881 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.882 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0
1539790420.882 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.884 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.886 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0
1539790420.886 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.889 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.891 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0
1539790420.891 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.894 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.897 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0
1539790420.897 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.902 * [misc]backup-simplify:  Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0
1539790420.906 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0
1539790420.906 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.906 * [misc]backup-simplify:  Simplify (* (* 2 PI) n) into (* 2 (* n PI))
1539790420.907 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n))
1539790420.907 * [misc]approximate:  Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0
1539790420.907 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790420.907 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.907 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.907 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.907 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.907 * [misc]backup-simplify:  Simplify PI into PI
1539790420.907 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.907 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.907 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.907 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.907 * [misc]taylor:  Taking taylor expansion of (* 2 (/ PI n)) in n
1539790420.907 * [misc]taylor:  Taking taylor expansion of 2 in n
1539790420.907 * [misc]backup-simplify:  Simplify 2 into 2
1539790420.907 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.907 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.907 * [misc]backup-simplify:  Simplify PI into PI
1539790420.907 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.907 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.907 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.908 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.908 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.908 * [misc]backup-simplify:  Simplify (* 2 PI) into (* 2 PI)
1539790420.909 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.910 * [misc]backup-simplify:  Simplify (+ (* 2 0) (* 0 PI)) into 0
1539790420.910 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.911 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.912 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.913 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.914 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.916 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.916 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.918 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.920 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.920 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.922 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.925 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.925 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.927 * [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
1539790420.931 * [misc]backup-simplify:  Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.931 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.931 * [misc]backup-simplify:  Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI))
1539790420.931 * [misc]backup-simplify:  Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n))
1539790420.931 * [misc]approximate:  Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0
1539790420.931 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.931 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.931 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.931 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.931 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.931 * [misc]backup-simplify:  Simplify PI into PI
1539790420.931 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.931 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.931 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.932 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.932 * [misc]taylor:  Taking taylor expansion of (* -2 (/ PI n)) in n
1539790420.932 * [misc]taylor:  Taking taylor expansion of -2 in n
1539790420.932 * [misc]backup-simplify:  Simplify -2 into -2
1539790420.932 * [misc]taylor:  Taking taylor expansion of (/ PI n) in n
1539790420.932 * [misc]taylor:  Taking taylor expansion of PI in n
1539790420.932 * [misc]backup-simplify:  Simplify PI into PI
1539790420.932 * [misc]taylor:  Taking taylor expansion of n in n
1539790420.932 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.932 * [misc]backup-simplify:  Simplify 1 into 1
1539790420.932 * [misc]backup-simplify:  Simplify (/ PI 1) into PI
1539790420.933 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.933 * [misc]backup-simplify:  Simplify (* -2 PI) into (* -2 PI)
1539790420.934 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0
1539790420.934 * [misc]backup-simplify:  Simplify (+ (* -2 0) (* 0 PI)) into 0
1539790420.934 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.936 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.937 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0
1539790420.937 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.938 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.940 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0
1539790420.940 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.942 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.944 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0
1539790420.944 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.946 * [misc]backup-simplify:  Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1539790420.949 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0
1539790420.949 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.954 * [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
1539790420.957 * [misc]backup-simplify:  Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0
1539790420.957 * [misc]backup-simplify:  Simplify 0 into 0
1539790420.958 * [misc]backup-simplify:  Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI))
1539790420.958 * * * [misc]progress:  simplifying candidates
1539790420.958 * * * * [misc]progress:  [ 1 / 70 ] 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))))))>
1539790420.958 * * * * [misc]progress:  [ 2 / 70 ] 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))))))>
1539790420.958 * [enter]simplify:  Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (sqrt k)))
1539790420.958 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790420.961 * * [misc]simplify:  iters left: 5 (17 enodes)
1539790420.966 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790420.973 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790420.979 * [exit]simplify:  Simplified to (- (log (sqrt (* (* PI n) 2))) (log (sqrt k)))
1539790420.979 * [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))))))
1539790420.979 * * * * [misc]progress:  [ 3 / 70 ] 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))))))>
1539790420.979 * * * * [misc]progress:  [ 4 / 70 ] 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))))))>
1539790420.979 * * * * [misc]progress:  [ 5 / 70 ] 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))))))>
1539790420.980 * [enter]simplify:  Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (sqrt k) (sqrt k)) (sqrt k)))
1539790420.980 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790420.984 * * [misc]simplify:  iters left: 5 (26 enodes)
1539790420.993 * * [misc]simplify:  iters left: 4 (73 enodes)
1539790421.028 * * [misc]simplify:  iters left: 3 (264 enodes)
1539790421.214 * [exit]simplify:  Simplified to (* (sqrt (* (* PI 2) n)) (* (/ (* PI 2) (sqrt k)) (/ n k)))
1539790421.214 * [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))))))
1539790421.214 * * * * [misc]progress:  [ 6 / 70 ] 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))))))>
1539790421.214 * * * * [misc]progress:  [ 7 / 70 ] 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))))))>
1539790421.214 * * * * [misc]progress:  [ 8 / 70 ] 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))))))>
1539790421.214 * [enter]simplify:  Simplifying (/ (* (* 2 n) PI) k)
1539790421.214 * * [misc]simplify:  iters left: 6 (7 enodes)
1539790421.216 * * [misc]simplify:  iters left: 5 (13 enodes)
1539790421.218 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.221 * * [misc]simplify:  iters left: 3 (38 enodes)
1539790421.229 * * [misc]simplify:  iters left: 2 (55 enodes)
1539790421.244 * * [misc]simplify:  iters left: 1 (74 enodes)
1539790421.272 * [exit]simplify:  Simplified to (* (/ n k) (* PI 2))
1539790421.272 * [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))))))
1539790421.272 * * * * [misc]progress:  [ 9 / 70 ] 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))))))>
1539790421.272 * * * * [misc]progress:  [ 10 / 70 ] 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))))))>
1539790421.272 * * * * [misc]progress:  [ 11 / 70 ] 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))))))>
1539790421.272 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790421.272 * * [misc]simplify:  iters left: 6 (13 enodes)
1539790421.277 * * [misc]simplify:  iters left: 5 (23 enodes)
1539790421.285 * * [misc]simplify:  iters left: 4 (38 enodes)
1539790421.296 * * [misc]simplify:  iters left: 3 (42 enodes)
1539790421.306 * * [misc]simplify:  iters left: 2 (45 enodes)
1539790421.317 * [exit]simplify:  Simplified to (* (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k))))
1539790421.317 * [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))))))
1539790421.317 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))
1539790421.317 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790421.321 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.325 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.331 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.337 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))
1539790421.337 * [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))))))
1539790421.337 * * * * [misc]progress:  [ 12 / 70 ] 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))))))>
1539790421.337 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt k)))
1539790421.337 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790421.341 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790421.346 * * [misc]simplify:  iters left: 4 (26 enodes)
1539790421.353 * * [misc]simplify:  iters left: 3 (28 enodes)
1539790421.358 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))))
1539790421.358 * [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))))))
1539790421.358 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539790421.358 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790421.360 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.362 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.365 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.367 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539790421.367 * [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))))))
1539790421.367 * * * * [misc]progress:  [ 13 / 70 ] 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))))))>
1539790421.368 * [enter]simplify:  Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1)
1539790421.368 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790421.369 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790421.372 * * [misc]simplify:  iters left: 4 (30 enodes)
1539790421.376 * * [misc]simplify:  iters left: 3 (33 enodes)
1539790421.380 * * [misc]simplify:  iters left: 2 (38 enodes)
1539790421.385 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))
1539790421.385 * [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))))))
1539790421.385 * [enter]simplify:  Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt k))
1539790421.386 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790421.390 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790421.394 * * [misc]simplify:  iters left: 4 (20 enodes)
1539790421.400 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.405 * [exit]simplify:  Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))
1539790421.405 * [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))))))
1539790421.406 * * * * [misc]progress:  [ 14 / 70 ] 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))))))>
1539790421.406 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790421.406 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790421.409 * * [misc]simplify:  iters left: 5 (12 enodes)
1539790421.413 * [exit]simplify:  Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))
1539790421.413 * [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))))))
1539790421.413 * [enter]simplify:  Simplifying (/ (sqrt PI) (cbrt (sqrt k)))
1539790421.413 * * [misc]simplify:  iters left: 4 (6 enodes)
1539790421.415 * [exit]simplify:  Simplified to (/ (sqrt PI) (cbrt (sqrt k)))
1539790421.415 * [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))))))
1539790421.415 * * * * [misc]progress:  [ 15 / 70 ] 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))))))>
1539790421.415 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1539790421.415 * * [misc]simplify:  iters left: 5 (8 enodes)
1539790421.418 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790421.421 * [exit]simplify:  Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k)))
1539790421.421 * [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))))))
1539790421.421 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt (sqrt k)))
1539790421.421 * * [misc]simplify:  iters left: 4 (6 enodes)
1539790421.423 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt (sqrt k)))
1539790421.423 * [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))))))
1539790421.423 * * * * [misc]progress:  [ 16 / 70 ] 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))))))>
1539790421.424 * [enter]simplify:  Simplifying (/ (sqrt (* 2 n)) 1)
1539790421.424 * * [misc]simplify:  iters left: 5 (6 enodes)
1539790421.426 * * [misc]simplify:  iters left: 4 (9 enodes)
1539790421.428 * * [misc]simplify:  iters left: 3 (11 enodes)
1539790421.430 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1539790421.430 * [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))))))
1539790421.430 * [enter]simplify:  Simplifying (/ (sqrt PI) (sqrt k))
1539790421.430 * * [misc]simplify:  iters left: 3 (5 enodes)
1539790421.430 * [exit]simplify:  Simplified to (/ (sqrt PI) (sqrt k))
1539790421.430 * [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))))))
1539790421.431 * * * * [misc]progress:  [ 17 / 70 ] 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))))))>
1539790421.431 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790421.431 * * [misc]simplify:  iters left: 6 (12 enodes)
1539790421.433 * * [misc]simplify:  iters left: 5 (18 enodes)
1539790421.435 * * [misc]simplify:  iters left: 4 (24 enodes)
1539790421.438 * * [misc]simplify:  iters left: 3 (25 enodes)
1539790421.442 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790421.442 * [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))))))
1539790421.442 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt k)))
1539790421.442 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790421.444 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.446 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.449 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.451 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (cbrt (sqrt k)))
1539790421.452 * [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))))))
1539790421.452 * * * * [misc]progress:  [ 18 / 70 ] 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))))))>
1539790421.452 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539790421.452 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790421.454 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.456 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.459 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.464 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539790421.464 * [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))))))
1539790421.464 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (sqrt k)))
1539790421.464 * * [misc]simplify:  iters left: 6 (11 enodes)
1539790421.467 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.472 * * [misc]simplify:  iters left: 4 (21 enodes)
1539790421.477 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.483 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k)))
1539790421.483 * [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))))))
1539790421.483 * * * * [misc]progress:  [ 19 / 70 ] 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))))))>
1539790421.483 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1)
1539790421.484 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790421.486 * * [misc]simplify:  iters left: 5 (15 enodes)
1539790421.491 * * [misc]simplify:  iters left: 4 (23 enodes)
1539790421.496 * * [misc]simplify:  iters left: 3 (24 enodes)
1539790421.501 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* PI n) 2)))
1539790421.502 * [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))))))
1539790421.502 * [enter]simplify:  Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k))
1539790421.502 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790421.505 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790421.509 * * [misc]simplify:  iters left: 4 (20 enodes)
1539790421.515 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.518 * [exit]simplify:  Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))
1539790421.518 * [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))))))
1539790421.518 * * * * [misc]progress:  [ 20 / 70 ] 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))))))>
1539790421.518 * [enter]simplify:  Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k))))
1539790421.518 * * [misc]simplify:  iters left: 6 (6 enodes)
1539790421.520 * * [misc]simplify:  iters left: 5 (10 enodes)
1539790421.522 * [exit]simplify:  Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k)))
1539790421.522 * [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))))))
1539790421.522 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (sqrt k)))
1539790421.522 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790421.523 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790421.525 * * [misc]simplify:  iters left: 4 (20 enodes)
1539790421.528 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.531 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))
1539790421.531 * [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))))))
1539790421.531 * * * * [misc]progress:  [ 21 / 70 ] 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))))))>
1539790421.531 * [enter]simplify:  Simplifying (/ 1 (sqrt (sqrt k)))
1539790421.532 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.532 * * [misc]simplify:  iters left: 3 (7 enodes)
1539790421.533 * [exit]simplify:  Simplified to (/ 1 (sqrt (sqrt k)))
1539790421.533 * [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))))))
1539790421.533 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (sqrt k)))
1539790421.533 * * [misc]simplify:  iters left: 6 (10 enodes)
1539790421.535 * * [misc]simplify:  iters left: 5 (14 enodes)
1539790421.537 * * [misc]simplify:  iters left: 4 (20 enodes)
1539790421.540 * * [misc]simplify:  iters left: 3 (22 enodes)
1539790421.543 * [exit]simplify:  Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))
1539790421.543 * [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))))))
1539790421.543 * * * * [misc]progress:  [ 22 / 70 ] 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))))))>
1539790421.543 * [enter]simplify:  Simplifying (/ 1 1)
1539790421.543 * * [misc]simplify:  iters left: 2 (2 enodes)
1539790421.543 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790421.544 * [exit]simplify:  Simplified to 1
1539790421.544 * [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))))))
1539790421.544 * [enter]simplify:  Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt k))
1539790421.544 * * [misc]simplify:  iters left: 6 (9 enodes)
1539790421.545 * * [misc]simplify:  iters left: 5 (13 enodes)
1539790421.547 * * [misc]simplify:  iters left: 4 (19 enodes)
1539790421.550 * * [misc]simplify:  iters left: 3 (20 enodes)
1539790421.552 * [exit]simplify:  Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt k))
1539790421.552 * [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))))))
1539790421.552 * * * * [misc]progress:  [ 23 / 70 ] 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))))))>
1539790421.552 * * * * [misc]progress:  [ 24 / 70 ] 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))))))>
1539790421.552 * * * * [misc]progress:  [ 25 / 70 ] 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))))))>
1539790421.552 * * * * [misc]progress:  [ 26 / 70 ] 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))))))>
1539790421.553 * [enter]simplify:  Simplifying (cbrt (sqrt k))
1539790421.553 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790421.553 * [exit]simplify:  Simplified to (cbrt (sqrt k))
1539790421.553 * [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))))))
1539790421.553 * * * * [misc]progress:  [ 27 / 70 ] 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))))))>
1539790421.553 * [enter]simplify:  Simplifying (sqrt (sqrt k))
1539790421.553 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790421.554 * [exit]simplify:  Simplified to (sqrt (sqrt k))
1539790421.554 * [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))))))
1539790421.554 * * * * [misc]progress:  [ 28 / 70 ] 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))))))>
1539790421.554 * [enter]simplify:  Simplifying (sqrt k)
1539790421.554 * * [misc]simplify:  iters left: 1 (2 enodes)
1539790421.554 * [exit]simplify:  Simplified to (sqrt k)
1539790421.554 * [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))))))
1539790421.554 * * * * [misc]progress:  [ 29 / 70 ] 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))))))>
1539790421.554 * [enter]simplify:  Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))
1539790421.555 * * [misc]simplify:  iters left: 6 (8 enodes)
1539790421.556 * * [misc]simplify:  iters left: 5 (12 enodes)
1539790421.560 * * [misc]simplify:  iters left: 4 (18 enodes)
1539790421.565 * * [misc]simplify:  iters left: 3 (20 enodes)
1539790421.570 * [exit]simplify:  Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))
1539790421.570 * [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))))))
1539790421.570 * * * * [misc]progress:  [ 30 / 70 ] 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))))))>
1539790421.570 * [enter]simplify:  Simplifying (sqrt (* 2 n))
1539790421.570 * * [misc]simplify:  iters left: 3 (4 enodes)
1539790421.572 * * [misc]simplify:  iters left: 2 (5 enodes)
1539790421.573 * [exit]simplify:  Simplified to (sqrt (* 2 n))
1539790421.573 * [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))))))
1539790421.573 * * * * [misc]progress:  [ 31 / 70 ] 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))))))>
1539790421.574 * [enter]simplify:  Simplifying (sqrt (sqrt (* (* 2 n) PI)))
1539790421.574 * * [misc]simplify:  iters left: 6 (7 enodes)
1539790421.576 * * [misc]simplify:  iters left: 5 (11 enodes)
1539790421.579 * * [misc]simplify:  iters left: 4 (17 enodes)
1539790421.584 * * [misc]simplify:  iters left: 3 (19 enodes)
1539790421.589 * [exit]simplify:  Simplified to (sqrt (sqrt (* (* 2 n) PI)))
1539790421.589 * [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))))))
1539790421.589 * * * * [misc]progress:  [ 32 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 33 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 34 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 35 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 36 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 37 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 38 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 39 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 40 / 70 ] 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))))))>
1539790421.589 * * * * [misc]progress:  [ 41 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 42 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 43 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 44 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 45 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 46 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 47 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 48 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 49 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 50 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 51 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 52 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 53 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 54 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 55 / 70 ] 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))))))>
1539790421.590 * * * * [misc]progress:  [ 56 / 70 ] 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))))))>
1539790421.591 * * * * [misc]progress:  [ 57 / 70 ] 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))))))>
1539790421.591 * * * * [misc]progress:  [ 58 / 70 ] 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))))))>
1539790421.591 * * * * [misc]progress:  [ 59 / 70 ] 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))))))>
1539790421.591 * [enter]simplify:  Simplifying (* +nan.0 (/ (* (sqrt 2) (* n PI)) k))
1539790421.591 * [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))))))
1539790421.591 * * * * [misc]progress:  [ 60 / 70 ] 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))))))>
1539790421.591 * [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)))))))
1539790421.591 * [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))))))
1539790421.591 * * * * [misc]progress:  [ 61 / 70 ] 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))))))>
1539790421.592 * [enter]simplify:  Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ PI k)) (- (* +nan.0 (/ (pow PI 2) n)))))))
1539790421.592 * [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))))))
1539790421.592 * * * * [misc]progress:  [ 62 / 70 ] 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))))))>
1539790421.592 * [enter]simplify:  Simplifying (* n PI)
1539790421.592 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790421.593 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790421.594 * [exit]simplify:  Simplified to (* n PI)
1539790421.594 * [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))))))
1539790421.594 * * * * [misc]progress:  [ 63 / 70 ] 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))))))>
1539790421.594 * [enter]simplify:  Simplifying (* n PI)
1539790421.594 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790421.595 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790421.596 * [exit]simplify:  Simplified to (* n PI)
1539790421.596 * [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))))))
1539790421.596 * * * * [misc]progress:  [ 64 / 70 ] 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))))))>
1539790421.596 * [enter]simplify:  Simplifying (* n PI)
1539790421.596 * * [misc]simplify:  iters left: 2 (3 enodes)
1539790421.597 * * [misc]simplify:  iters left: 1 (4 enodes)
1539790421.598 * [exit]simplify:  Simplified to (* n PI)
1539790421.598 * [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))))))
1539790421.598 * * * * [misc]progress:  [ 65 / 70 ] 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))))))>
1539790421.598 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.598 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.600 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.603 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.607 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.611 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.611 * [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))))))
1539790421.611 * * * * [misc]progress:  [ 66 / 70 ] 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))))))>
1539790421.611 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.611 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.613 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.616 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.620 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.624 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.624 * [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))))))
1539790421.624 * * * * [misc]progress:  [ 67 / 70 ] 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))))))>
1539790421.624 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.624 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.626 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.629 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.634 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.638 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.638 * [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))))))
1539790421.638 * * * * [misc]progress:  [ 68 / 70 ] 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))))))>
1539790421.638 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.639 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.640 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.643 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.647 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.651 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.651 * [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))))))
1539790421.651 * * * * [misc]progress:  [ 69 / 70 ] 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))))))>
1539790421.651 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.652 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.653 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.656 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.660 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.664 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.664 * [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))))))
1539790421.664 * * * * [misc]progress:  [ 70 / 70 ] 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))))))>
1539790421.665 * [enter]simplify:  Simplifying (* 2 (* n PI))
1539790421.665 * * [misc]simplify:  iters left: 4 (5 enodes)
1539790421.666 * * [misc]simplify:  iters left: 3 (9 enodes)
1539790421.669 * * [misc]simplify:  iters left: 2 (15 enodes)
1539790421.673 * * [misc]simplify:  iters left: 1 (17 enodes)
1539790421.677 * [exit]simplify:  Simplified to (* (* PI n) 2)
1539790421.678 * [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))))))
1539790421.678 * * * [misc]progress:  adding candidates to table
1539790422.808 * [misc]progress:  [Phase 3 of 3] Extracting.
1539790422.808 * * [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 (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (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 PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))> #<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) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>)
1539790422.812 * * * [misc]regime-changes:  Trying 2 branch expressions: (n k)
1539790422.812 * * * * [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 (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (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 PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))> #<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) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>)
1539790422.905 * * * * [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 (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (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 PI) (/ (/ (sqrt (* n 2)) (sqrt k)) (pow (* n (* PI 2)) (/ k 2)))))> #<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) (* (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k)))))> #<alt (λ (k n) (/ (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* PI (* n 2)) (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k))))>)
1539790422.993 * * * [misc]regime:  Found split indices: #<option (#s(si 2 256))>
1539790422.993 * [enter]simplify:  Simplifying (* (/ 1 (sqrt (pow (* (* n PI) 2) (/ k 2)))) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (sqrt (pow (* (* 2 n) PI) (/ k 2)))))
1539790422.993 * * [misc]simplify:  iters left: 6 (20 enodes)
1539790422.994 * * [misc]simplify:  iters left: 5 (27 enodes)
1539790422.995 * [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)))))
1539790422.995 * * * * [misc]points:  Sampling 8000 additional inputs, on iter 0 have 0 / 8000
1539790423.028 * * * * [misc]points:  Computing exacts on every 500 of 8000 points to ramp up precision
1539790423.049 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.051 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.053 * * * * [misc]points:  Computing exacts on every 250 of 8000 points to ramp up precision
1539790423.071 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.074 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.077 * * * * [misc]points:  Computing exacts on every 125 of 8000 points to ramp up precision
1539790423.092 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.094 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.097 * * * * [misc]points:  Computing exacts on every 62 of 8000 points to ramp up precision
1539790423.111 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.116 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.122 * * * * [misc]points:  Computing exacts on every 31 of 8000 points to ramp up precision
1539790423.131 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.143 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.154 * * * * [misc]points:  Computing exacts on every 15 of 8000 points to ramp up precision
1539790423.176 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.210 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.248 * * * * [misc]points:  Computing exacts on every 7 of 8000 points to ramp up precision
1539790423.265 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.345 * * * * [misc]points:  Setting MPFR precision to 1344
1539790423.402 * * * * [misc]points:  Computing exacts on every 3 of 8000 points to ramp up precision
1539790423.812 * * * * [misc]points:  Setting MPFR precision to 1088
1539790423.945 * * * * [misc]points:  Setting MPFR precision to 1344
1539790424.103 * * * * [misc]points:  Computing exacts for 8000 points
1539790424.123 * * * * [misc]points:  Setting MPFR precision to 1088
1539790424.866 * * * * [misc]points:  Setting MPFR precision to 1344
1539790425.542 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790425.544 * * * * [misc]points:  Sampling 6512 additional inputs, on iter 1 have 1488 / 8000
1539790425.626 * * * * [misc]points:  Computing exacts on every 407 of 6512 points to ramp up precision
1539790425.646 * * * * [misc]points:  Setting MPFR precision to 1088
1539790425.648 * * * * [misc]points:  Setting MPFR precision to 1344
1539790425.649 * * * * [misc]points:  Computing exacts on every 203 of 6512 points to ramp up precision
1539790425.669 * * * * [misc]points:  Setting MPFR precision to 1088
1539790425.672 * * * * [misc]points:  Setting MPFR precision to 1344
1539790425.674 * * * * [misc]points:  Computing exacts on every 101 of 6512 points to ramp up precision
1539790426.049 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.054 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.060 * * * * [misc]points:  Computing exacts on every 50 of 6512 points to ramp up precision
1539790426.077 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.086 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.096 * * * * [misc]points:  Computing exacts on every 25 of 6512 points to ramp up precision
1539790426.123 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.143 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.160 * * * * [misc]points:  Computing exacts on every 12 of 6512 points to ramp up precision
1539790426.177 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.211 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.272 * * * * [misc]points:  Computing exacts on every 6 of 6512 points to ramp up precision
1539790426.291 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.354 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.420 * * * * [misc]points:  Computing exacts on every 3 of 6512 points to ramp up precision
1539790426.431 * * * * [misc]points:  Setting MPFR precision to 1088
1539790426.540 * * * * [misc]points:  Setting MPFR precision to 1344
1539790426.621 * * * * [misc]points:  Computing exacts for 6512 points
1539790426.667 * * * * [misc]points:  Setting MPFR precision to 1088
1539790427.211 * * * * [misc]points:  Setting MPFR precision to 1344
1539790427.780 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790427.782 * * * * [misc]points:  Sampling 5314 additional inputs, on iter 2 have 2686 / 8000
1539790427.827 * * * * [misc]points:  Computing exacts on every 332 of 5314 points to ramp up precision
1539790428.218 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.219 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.220 * * * * [misc]points:  Computing exacts on every 166 of 5314 points to ramp up precision
1539790428.229 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.231 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.232 * * * * [misc]points:  Computing exacts on every 83 of 5314 points to ramp up precision
1539790428.241 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.248 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.251 * * * * [misc]points:  Computing exacts on every 41 of 5314 points to ramp up precision
1539790428.265 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.276 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.285 * * * * [misc]points:  Computing exacts on every 20 of 5314 points to ramp up precision
1539790428.294 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.304 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.336 * * * * [misc]points:  Computing exacts on every 10 of 5314 points to ramp up precision
1539790428.354 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.376 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.397 * * * * [misc]points:  Computing exacts on every 5 of 5314 points to ramp up precision
1539790428.423 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.488 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.539 * * * * [misc]points:  Computing exacts on every 2 of 5314 points to ramp up precision
1539790428.591 * * * * [misc]points:  Setting MPFR precision to 1088
1539790428.711 * * * * [misc]points:  Setting MPFR precision to 1344
1539790428.884 * * * * [misc]points:  Computing exacts for 5314 points
1539790428.903 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.305 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.804 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790429.805 * * * * [misc]points:  Sampling 4342 additional inputs, on iter 3 have 3658 / 8000
1539790429.844 * * * * [misc]points:  Computing exacts on every 271 of 4342 points to ramp up precision
1539790429.863 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.865 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.866 * * * * [misc]points:  Computing exacts on every 135 of 4342 points to ramp up precision
1539790429.884 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.886 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.887 * * * * [misc]points:  Computing exacts on every 67 of 4342 points to ramp up precision
1539790429.896 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.899 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.902 * * * * [misc]points:  Computing exacts on every 33 of 4342 points to ramp up precision
1539790429.916 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.922 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.931 * * * * [misc]points:  Computing exacts on every 16 of 4342 points to ramp up precision
1539790429.950 * * * * [misc]points:  Setting MPFR precision to 1088
1539790429.971 * * * * [misc]points:  Setting MPFR precision to 1344
1539790429.992 * * * * [misc]points:  Computing exacts on every 8 of 4342 points to ramp up precision
1539790430.368 * * * * [misc]points:  Setting MPFR precision to 1088
1539790430.409 * * * * [misc]points:  Setting MPFR precision to 1344
1539790430.437 * * * * [misc]points:  Computing exacts on every 4 of 4342 points to ramp up precision
1539790430.446 * * * * [misc]points:  Setting MPFR precision to 1088
1539790430.532 * * * * [misc]points:  Setting MPFR precision to 1344
1539790430.573 * * * * [misc]points:  Computing exacts on every 2 of 4342 points to ramp up precision
1539790430.582 * * * * [misc]points:  Setting MPFR precision to 1088
1539790430.714 * * * * [misc]points:  Setting MPFR precision to 1344
1539790430.803 * * * * [misc]points:  Computing exacts for 4342 points
1539790430.838 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.115 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.444 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790431.445 * * * * [misc]points:  Sampling 3511 additional inputs, on iter 4 have 4489 / 8000
1539790431.459 * * * * [misc]points:  Computing exacts on every 219 of 3511 points to ramp up precision
1539790431.498 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.499 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.499 * * * * [misc]points:  Computing exacts on every 109 of 3511 points to ramp up precision
1539790431.509 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.510 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.511 * * * * [misc]points:  Computing exacts on every 54 of 3511 points to ramp up precision
1539790431.526 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.531 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.537 * * * * [misc]points:  Computing exacts on every 27 of 3511 points to ramp up precision
1539790431.556 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.567 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.578 * * * * [misc]points:  Computing exacts on every 13 of 3511 points to ramp up precision
1539790431.592 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.612 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.627 * * * * [misc]points:  Computing exacts on every 6 of 3511 points to ramp up precision
1539790431.647 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.689 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.733 * * * * [misc]points:  Computing exacts on every 3 of 3511 points to ramp up precision
1539790431.779 * * * * [misc]points:  Setting MPFR precision to 1088
1539790431.845 * * * * [misc]points:  Setting MPFR precision to 1344
1539790431.885 * * * * [misc]points:  Computing exacts for 3511 points
1539790431.930 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.181 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.766 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790432.767 * * * * [misc]points:  Sampling 2830 additional inputs, on iter 5 have 5170 / 8000
1539790432.791 * * * * [misc]points:  Computing exacts on every 176 of 2830 points to ramp up precision
1539790432.846 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.847 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.849 * * * * [misc]points:  Computing exacts on every 88 of 2830 points to ramp up precision
1539790432.864 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.866 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.867 * * * * [misc]points:  Computing exacts on every 44 of 2830 points to ramp up precision
1539790432.881 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.884 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.887 * * * * [misc]points:  Computing exacts on every 22 of 2830 points to ramp up precision
1539790432.897 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.902 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.908 * * * * [misc]points:  Computing exacts on every 11 of 2830 points to ramp up precision
1539790432.919 * * * * [misc]points:  Setting MPFR precision to 1088
1539790432.950 * * * * [misc]points:  Setting MPFR precision to 1344
1539790432.971 * * * * [misc]points:  Computing exacts on every 5 of 2830 points to ramp up precision
1539790432.989 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.029 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.071 * * * * [misc]points:  Computing exacts on every 2 of 2830 points to ramp up precision
1539790433.107 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.159 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.243 * * * * [misc]points:  Computing exacts for 2830 points
1539790433.298 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.465 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.728 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790433.728 * * * * [misc]points:  Sampling 2337 additional inputs, on iter 6 have 5663 / 8000
1539790433.738 * * * * [misc]points:  Computing exacts on every 146 of 2337 points to ramp up precision
1539790433.763 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.764 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.765 * * * * [misc]points:  Computing exacts on every 73 of 2337 points to ramp up precision
1539790433.775 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.776 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.778 * * * * [misc]points:  Computing exacts on every 36 of 2337 points to ramp up precision
1539790433.787 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.793 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.798 * * * * [misc]points:  Computing exacts on every 18 of 2337 points to ramp up precision
1539790433.826 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.837 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.847 * * * * [misc]points:  Computing exacts on every 9 of 2337 points to ramp up precision
1539790433.866 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.885 * * * * [misc]points:  Setting MPFR precision to 1344
1539790433.905 * * * * [misc]points:  Computing exacts on every 4 of 2337 points to ramp up precision
1539790433.940 * * * * [misc]points:  Setting MPFR precision to 1088
1539790433.980 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.020 * * * * [misc]points:  Computing exacts on every 2 of 2337 points to ramp up precision
1539790434.040 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.133 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.176 * * * * [misc]points:  Computing exacts for 2337 points
1539790434.195 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.401 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.562 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790434.562 * * * * [misc]points:  Sampling 1879 additional inputs, on iter 7 have 6121 / 8000
1539790434.570 * * * * [misc]points:  Computing exacts on every 117 of 1879 points to ramp up precision
1539790434.610 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.611 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.612 * * * * [misc]points:  Computing exacts on every 58 of 1879 points to ramp up precision
1539790434.622 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.624 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.626 * * * * [misc]points:  Computing exacts on every 29 of 1879 points to ramp up precision
1539790434.643 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.649 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.655 * * * * [misc]points:  Computing exacts on every 14 of 1879 points to ramp up precision
1539790434.683 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.694 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.705 * * * * [misc]points:  Computing exacts on every 7 of 1879 points to ramp up precision
1539790434.724 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.744 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.766 * * * * [misc]points:  Computing exacts on every 3 of 1879 points to ramp up precision
1539790434.791 * * * * [misc]points:  Setting MPFR precision to 1088
1539790434.816 * * * * [misc]points:  Setting MPFR precision to 1344
1539790434.847 * * * * [misc]points:  Computing exacts for 1879 points
1539790434.856 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.404 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.591 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790435.592 * * * * [misc]points:  Sampling 1527 additional inputs, on iter 8 have 6473 / 8000
1539790435.598 * * * * [misc]points:  Computing exacts on every 95 of 1527 points to ramp up precision
1539790435.607 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.608 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.609 * * * * [misc]points:  Computing exacts on every 47 of 1527 points to ramp up precision
1539790435.653 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.655 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.658 * * * * [misc]points:  Computing exacts on every 23 of 1527 points to ramp up precision
1539790435.667 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.670 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.673 * * * * [misc]points:  Computing exacts on every 11 of 1527 points to ramp up precision
1539790435.687 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.698 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.710 * * * * [misc]points:  Computing exacts on every 5 of 1527 points to ramp up precision
1539790435.724 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.735 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.746 * * * * [misc]points:  Computing exacts on every 2 of 1527 points to ramp up precision
1539790435.775 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.816 * * * * [misc]points:  Setting MPFR precision to 1344
1539790435.842 * * * * [misc]points:  Computing exacts for 1527 points
1539790435.860 * * * * [misc]points:  Setting MPFR precision to 1088
1539790435.992 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.094 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790436.095 * * * * [misc]points:  Sampling 1226 additional inputs, on iter 9 have 6774 / 8000
1539790436.105 * * * * [misc]points:  Computing exacts on every 76 of 1226 points to ramp up precision
1539790436.169 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.170 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.170 * * * * [misc]points:  Computing exacts on every 38 of 1226 points to ramp up precision
1539790436.179 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.181 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.182 * * * * [misc]points:  Computing exacts on every 19 of 1226 points to ramp up precision
1539790436.196 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.199 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.202 * * * * [misc]points:  Computing exacts on every 9 of 1226 points to ramp up precision
1539790436.211 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.216 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.221 * * * * [misc]points:  Computing exacts on every 4 of 1226 points to ramp up precision
1539790436.239 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.270 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.291 * * * * [misc]points:  Computing exacts on every 2 of 1226 points to ramp up precision
1539790436.309 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.342 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.376 * * * * [misc]points:  Computing exacts for 1226 points
1539790436.417 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.484 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.604 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790436.605 * * * * [misc]points:  Sampling 1009 additional inputs, on iter 10 have 6991 / 8000
1539790436.617 * * * * [misc]points:  Computing exacts on every 63 of 1009 points to ramp up precision
1539790436.636 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.637 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.638 * * * * [misc]points:  Computing exacts on every 31 of 1009 points to ramp up precision
1539790436.647 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.648 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.650 * * * * [misc]points:  Computing exacts on every 15 of 1009 points to ramp up precision
1539790436.669 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.675 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.681 * * * * [misc]points:  Computing exacts on every 7 of 1009 points to ramp up precision
1539790436.701 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.709 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.715 * * * * [misc]points:  Computing exacts on every 3 of 1009 points to ramp up precision
1539790436.731 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.743 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.761 * * * * [misc]points:  Computing exacts for 1009 points
1539790436.773 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.836 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.905 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790436.905 * * * * [misc]points:  Sampling 817 additional inputs, on iter 11 have 7183 / 8000
1539790436.909 * * * * [misc]points:  Computing exacts on every 51 of 817 points to ramp up precision
1539790436.918 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.919 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.919 * * * * [misc]points:  Computing exacts on every 25 of 817 points to ramp up precision
1539790436.948 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.950 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.951 * * * * [misc]points:  Computing exacts on every 12 of 817 points to ramp up precision
1539790436.960 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.963 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.966 * * * * [misc]points:  Computing exacts on every 6 of 817 points to ramp up precision
1539790436.981 * * * * [misc]points:  Setting MPFR precision to 1088
1539790436.986 * * * * [misc]points:  Setting MPFR precision to 1344
1539790436.994 * * * * [misc]points:  Computing exacts on every 3 of 817 points to ramp up precision
1539790437.013 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.028 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.045 * * * * [misc]points:  Computing exacts for 817 points
1539790437.064 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.144 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.187 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790437.188 * * * * [misc]points:  Sampling 672 additional inputs, on iter 12 have 7328 / 8000
1539790437.194 * * * * [misc]points:  Computing exacts on every 42 of 672 points to ramp up precision
1539790437.204 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.204 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.205 * * * * [misc]points:  Computing exacts on every 21 of 672 points to ramp up precision
1539790437.234 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.235 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.240 * * * * [misc]points:  Computing exacts on every 10 of 672 points to ramp up precision
1539790437.258 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.260 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.263 * * * * [misc]points:  Computing exacts on every 5 of 672 points to ramp up precision
1539790437.277 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.282 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.287 * * * * [misc]points:  Computing exacts on every 2 of 672 points to ramp up precision
1539790437.296 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.309 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.329 * * * * [misc]points:  Computing exacts for 672 points
1539790437.353 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.382 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.418 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790437.418 * * * * [misc]points:  Sampling 534 additional inputs, on iter 13 have 7466 / 8000
1539790437.423 * * * * [misc]points:  Computing exacts on every 33 of 534 points to ramp up precision
1539790437.442 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.444 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.445 * * * * [misc]points:  Computing exacts on every 16 of 534 points to ramp up precision
1539790437.865 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.869 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.871 * * * * [misc]points:  Computing exacts on every 8 of 534 points to ramp up precision
1539790437.890 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.895 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.900 * * * * [misc]points:  Computing exacts on every 4 of 534 points to ramp up precision
1539790437.928 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.936 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.945 * * * * [misc]points:  Computing exacts on every 2 of 534 points to ramp up precision
1539790437.962 * * * * [misc]points:  Setting MPFR precision to 1088
1539790437.969 * * * * [misc]points:  Setting MPFR precision to 1344
1539790437.977 * * * * [misc]points:  Computing exacts for 534 points
1539790438.001 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.045 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.081 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.081 * * * * [misc]points:  Sampling 441 additional inputs, on iter 14 have 7559 / 8000
1539790438.083 * * * * [misc]points:  Computing exacts on every 27 of 441 points to ramp up precision
1539790438.092 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.093 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.094 * * * * [misc]points:  Computing exacts on every 13 of 441 points to ramp up precision
1539790438.132 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.138 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.141 * * * * [misc]points:  Computing exacts on every 6 of 441 points to ramp up precision
1539790438.160 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.166 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.172 * * * * [misc]points:  Computing exacts on every 3 of 441 points to ramp up precision
1539790438.183 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.193 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.198 * * * * [misc]points:  Computing exacts for 441 points
1539790438.207 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.225 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.259 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.259 * * * * [misc]points:  Sampling 367 additional inputs, on iter 15 have 7633 / 8000
1539790438.262 * * * * [misc]points:  Computing exacts on every 22 of 367 points to ramp up precision
1539790438.301 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.303 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.306 * * * * [misc]points:  Computing exacts on every 11 of 367 points to ramp up precision
1539790438.325 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.326 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.327 * * * * [misc]points:  Computing exacts on every 5 of 367 points to ramp up precision
1539790438.336 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.339 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.341 * * * * [misc]points:  Computing exacts on every 2 of 367 points to ramp up precision
1539790438.355 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.360 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.367 * * * * [misc]points:  Computing exacts for 367 points
1539790438.386 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.412 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.428 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.428 * * * * [misc]points:  Sampling 299 additional inputs, on iter 16 have 7701 / 8000
1539790438.429 * * * * [misc]points:  Computing exacts on every 18 of 299 points to ramp up precision
1539790438.465 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.467 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.468 * * * * [misc]points:  Computing exacts on every 9 of 299 points to ramp up precision
1539790438.481 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.482 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.483 * * * * [misc]points:  Computing exacts on every 4 of 299 points to ramp up precision
1539790438.496 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.499 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.501 * * * * [misc]points:  Computing exacts on every 2 of 299 points to ramp up precision
1539790438.518 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.526 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.535 * * * * [misc]points:  Computing exacts for 299 points
1539790438.555 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.591 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.616 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.616 * * * * [misc]points:  Sampling 244 additional inputs, on iter 17 have 7756 / 8000
1539790438.618 * * * * [misc]points:  Computing exacts on every 15 of 244 points to ramp up precision
1539790438.638 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.639 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.640 * * * * [misc]points:  Computing exacts on every 7 of 244 points to ramp up precision
1539790438.659 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.662 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.664 * * * * [misc]points:  Computing exacts on every 3 of 244 points to ramp up precision
1539790438.695 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.700 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.705 * * * * [misc]points:  Computing exacts for 244 points
1539790438.723 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.743 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.764 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.764 * * * * [misc]points:  Sampling 201 additional inputs, on iter 18 have 7799 / 8000
1539790438.766 * * * * [misc]points:  Computing exacts on every 12 of 201 points to ramp up precision
1539790438.799 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.800 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.801 * * * * [misc]points:  Computing exacts on every 6 of 201 points to ramp up precision
1539790438.810 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.811 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.813 * * * * [misc]points:  Computing exacts on every 3 of 201 points to ramp up precision
1539790438.822 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.824 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.826 * * * * [misc]points:  Computing exacts for 201 points
1539790438.841 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.855 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.873 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.873 * * * * [misc]points:  Sampling 162 additional inputs, on iter 19 have 7838 / 8000
1539790438.874 * * * * [misc]points:  Computing exacts on every 10 of 162 points to ramp up precision
1539790438.893 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.895 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.896 * * * * [misc]points:  Computing exacts on every 5 of 162 points to ramp up precision
1539790438.927 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.929 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.931 * * * * [misc]points:  Computing exacts on every 2 of 162 points to ramp up precision
1539790438.942 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.944 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.947 * * * * [misc]points:  Computing exacts for 162 points
1539790438.956 * * * * [misc]points:  Setting MPFR precision to 1088
1539790438.968 * * * * [misc]points:  Setting MPFR precision to 1344
1539790438.983 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790438.983 * * * * [misc]points:  Sampling 134 additional inputs, on iter 20 have 7866 / 8000
1539790438.984 * * * * [misc]points:  Computing exacts on every 8 of 134 points to ramp up precision
1539790439.001 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.002 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.003 * * * * [misc]points:  Computing exacts on every 4 of 134 points to ramp up precision
1539790439.012 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.013 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.015 * * * * [misc]points:  Computing exacts on every 2 of 134 points to ramp up precision
1539790439.035 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.039 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.042 * * * * [misc]points:  Computing exacts for 134 points
1539790439.051 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.056 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.062 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.062 * * * * [misc]points:  Sampling 113 additional inputs, on iter 21 have 7887 / 8000
1539790439.063 * * * * [misc]points:  Computing exacts on every 7 of 113 points to ramp up precision
1539790439.086 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.087 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.088 * * * * [misc]points:  Computing exacts on every 3 of 113 points to ramp up precision
1539790439.098 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.099 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.100 * * * * [misc]points:  Computing exacts for 113 points
1539790439.109 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.114 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.120 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.120 * * * * [misc]points:  Sampling 92 additional inputs, on iter 22 have 7908 / 8000
1539790439.120 * * * * [misc]points:  Computing exacts on every 5 of 92 points to ramp up precision
1539790439.145 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.147 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.148 * * * * [misc]points:  Computing exacts on every 2 of 92 points to ramp up precision
1539790439.167 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.170 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.172 * * * * [misc]points:  Computing exacts for 92 points
1539790439.185 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.189 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.193 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.193 * * * * [misc]points:  Sampling 74 additional inputs, on iter 23 have 7926 / 8000
1539790439.194 * * * * [misc]points:  Computing exacts on every 4 of 74 points to ramp up precision
1539790439.212 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.213 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.215 * * * * [misc]points:  Computing exacts on every 2 of 74 points to ramp up precision
1539790439.234 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.236 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.238 * * * * [misc]points:  Computing exacts for 74 points
1539790439.264 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.271 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.277 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.277 * * * * [misc]points:  Sampling 62 additional inputs, on iter 24 have 7938 / 8000
1539790439.278 * * * * [misc]points:  Computing exacts on every 3 of 62 points to ramp up precision
1539790439.296 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.297 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.297 * * * * [misc]points:  Computing exacts for 62 points
1539790439.306 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.309 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.316 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.316 * * * * [misc]points:  Sampling 51 additional inputs, on iter 25 have 7949 / 8000
1539790439.316 * * * * [misc]points:  Computing exacts on every 3 of 51 points to ramp up precision
1539790439.329 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.330 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.332 * * * * [misc]points:  Computing exacts for 51 points
1539790439.351 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.356 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.361 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.361 * * * * [misc]points:  Sampling 35 additional inputs, on iter 26 have 7965 / 8000
1539790439.361 * * * * [misc]points:  Computing exacts on every 2 of 35 points to ramp up precision
1539790439.386 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.387 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.389 * * * * [misc]points:  Computing exacts for 35 points
1539790439.408 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.411 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.413 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.413 * * * * [misc]points:  Sampling 28 additional inputs, on iter 27 have 7972 / 8000
1539790439.414 * * * * [misc]points:  Computing exacts for 28 points
1539790439.433 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.436 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.439 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.439 * * * * [misc]points:  Sampling 21 additional inputs, on iter 28 have 7979 / 8000
1539790439.439 * * * * [misc]points:  Computing exacts for 21 points
1539790439.464 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.466 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.469 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.469 * * * * [misc]points:  Sampling 14 additional inputs, on iter 29 have 7986 / 8000
1539790439.469 * * * * [misc]points:  Computing exacts for 14 points
1539790439.488 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.490 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.491 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.491 * * * * [misc]points:  Sampling 13 additional inputs, on iter 30 have 7987 / 8000
1539790439.491 * * * * [misc]points:  Computing exacts for 13 points
1539790439.510 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.511 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.512 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.512 * * * * [misc]points:  Sampling 11 additional inputs, on iter 31 have 7989 / 8000
1539790439.512 * * * * [misc]points:  Computing exacts for 11 points
1539790439.535 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.536 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.537 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.537 * * * * [misc]points:  Sampling 11 additional inputs, on iter 32 have 7989 / 8000
1539790439.537 * * * * [misc]points:  Computing exacts for 11 points
1539790439.557 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.558 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.560 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.560 * * * * [misc]points:  Sampling 7 additional inputs, on iter 33 have 7993 / 8000
1539790439.560 * * * * [misc]points:  Computing exacts for 7 points
1539790439.582 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.583 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.584 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.584 * * * * [misc]points:  Sampling 5 additional inputs, on iter 34 have 7995 / 8000
1539790439.584 * * * * [misc]points:  Computing exacts for 5 points
1539790439.603 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.604 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.605 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.605 * * * * [misc]points:  Sampling 4 additional inputs, on iter 35 have 7997 / 8000
1539790439.605 * * * * [misc]points:  Computing exacts for 4 points
1539790439.624 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.624 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.625 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.625 * * * * [misc]points:  Sampling 4 additional inputs, on iter 36 have 7998 / 8000
1539790439.625 * * * * [misc]points:  Computing exacts for 4 points
1539790439.638 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.638 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.638 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.638 * * * * [misc]points:  Sampling 4 additional inputs, on iter 37 have 7998 / 8000
1539790439.638 * * * * [misc]points:  Computing exacts for 4 points
1539790439.648 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.648 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.648 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.649 * * * * [misc]points:  Sampling 4 additional inputs, on iter 38 have 7999 / 8000
1539790439.649 * * * * [misc]points:  Computing exacts for 4 points
1539790439.660 * * * * [misc]points:  Setting MPFR precision to 1088
1539790439.661 * * * * [misc]points:  Setting MPFR precision to 1344
1539790439.662 * * * * [misc]points:  Filtering points with unrepresentable outputs
1539790439.662 * * * * [exit]points:  Sampled 8000 points with exact outputs
1539790440.811 * [misc]regime-testing:  Baseline error score: 0.3554049122277118
1539790440.811 * [misc]regime-testing:  End program error score: 0.3554049122277118
1539790440.812 * [misc]regime-testing:  Oracle error score: 0.10550113991374435