1537025727.305 * [misc]progress: [Phase 1 of 3] Setting up. 1537025727.305 * * * [misc]progress: [1/2] Preparing points 1537025727.305 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1537025727.307 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1537025727.309 * * * * [misc]points: Setting MPFR precision to 64 1537025727.310 * * * * [misc]points: Setting MPFR precision to 320 1537025727.311 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1537025727.313 * * * * [misc]points: Setting MPFR precision to 64 1537025727.314 * * * * [misc]points: Setting MPFR precision to 320 1537025727.316 * * * * [misc]points: Setting MPFR precision to 576 1537025727.317 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1537025727.319 * * * * [misc]points: Setting MPFR precision to 320 1537025727.322 * * * * [misc]points: Setting MPFR precision to 576 1537025727.325 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1537025727.327 * * * * [misc]points: Setting MPFR precision to 320 1537025727.331 * * * * [misc]points: Setting MPFR precision to 576 1537025727.336 * * * * [misc]points: Setting MPFR precision to 832 1537025727.341 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.350 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.360 * * * * [misc]points: Computing exacts for 256 points 1537025727.364 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.394 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.424 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.424 * * * * [misc]points: Sampling 213 additional inputs, on iter 1 have 43 / 256 1537025727.426 * * * * [misc]points: Computing exacts on every 13 of 213 points to ramp up precision 1537025727.430 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.432 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.434 * * * * [misc]points: Computing exacts on every 6 of 213 points to ramp up precision 1537025727.437 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.468 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.471 * * * * [misc]points: Computing exacts on every 3 of 213 points to ramp up precision 1537025727.474 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.478 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.481 * * * * [misc]points: Computing exacts for 213 points 1537025727.483 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.495 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.515 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.516 * * * * [misc]points: Sampling 169 additional inputs, on iter 2 have 87 / 256 1537025727.518 * * * * [misc]points: Computing exacts on every 10 of 169 points to ramp up precision 1537025727.521 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.524 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.525 * * * * [misc]points: Computing exacts on every 5 of 169 points to ramp up precision 1537025727.529 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.533 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.537 * * * * [misc]points: Computing exacts on every 2 of 169 points to ramp up precision 1537025727.541 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.547 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.554 * * * * [misc]points: Computing exacts for 169 points 1537025727.558 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.576 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.588 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.588 * * * * [misc]points: Sampling 141 additional inputs, on iter 3 have 115 / 256 1537025727.589 * * * * [misc]points: Computing exacts on every 8 of 141 points to ramp up precision 1537025727.591 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.592 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.594 * * * * [misc]points: Computing exacts on every 4 of 141 points to ramp up precision 1537025727.596 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.598 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.600 * * * * [misc]points: Computing exacts on every 2 of 141 points to ramp up precision 1537025727.602 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.605 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.608 * * * * [misc]points: Computing exacts for 141 points 1537025727.610 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.646 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.662 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.662 * * * * [misc]points: Sampling 103 additional inputs, on iter 4 have 153 / 256 1537025727.663 * * * * [misc]points: Computing exacts on every 6 of 103 points to ramp up precision 1537025727.665 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.666 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.667 * * * * [misc]points: Computing exacts on every 3 of 103 points to ramp up precision 1537025727.669 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.671 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.672 * * * * [misc]points: Computing exacts for 103 points 1537025727.674 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.680 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.686 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.687 * * * * [misc]points: Sampling 84 additional inputs, on iter 5 have 172 / 256 1537025727.687 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision 1537025727.691 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.693 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.695 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision 1537025727.699 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.702 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.705 * * * * [misc]points: Computing exacts for 84 points 1537025727.709 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.719 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.729 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.729 * * * * [misc]points: Sampling 69 additional inputs, on iter 6 have 187 / 256 1537025727.730 * * * * [misc]points: Computing exacts on every 4 of 69 points to ramp up precision 1537025727.734 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.736 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.738 * * * * [misc]points: Computing exacts on every 2 of 69 points to ramp up precision 1537025727.742 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.745 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.749 * * * * [misc]points: Computing exacts for 69 points 1537025727.753 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.762 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.771 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.771 * * * * [misc]points: Sampling 53 additional inputs, on iter 7 have 203 / 256 1537025727.772 * * * * [misc]points: Computing exacts on every 3 of 53 points to ramp up precision 1537025727.776 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.778 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.779 * * * * [misc]points: Computing exacts for 53 points 1537025727.783 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.790 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.796 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.796 * * * * [misc]points: Sampling 43 additional inputs, on iter 8 have 213 / 256 1537025727.796 * * * * [misc]points: Computing exacts on every 2 of 43 points to ramp up precision 1537025727.798 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.799 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.800 * * * * [misc]points: Computing exacts for 43 points 1537025727.802 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.805 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.807 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.807 * * * * [misc]points: Sampling 40 additional inputs, on iter 9 have 216 / 256 1537025727.807 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision 1537025727.830 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.831 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.832 * * * * [misc]points: Computing exacts for 40 points 1537025727.834 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.836 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.838 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.838 * * * * [misc]points: Sampling 28 additional inputs, on iter 10 have 228 / 256 1537025727.839 * * * * [misc]points: Computing exacts for 28 points 1537025727.841 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.842 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.844 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.844 * * * * [misc]points: Sampling 26 additional inputs, on iter 11 have 230 / 256 1537025727.844 * * * * [misc]points: Computing exacts for 26 points 1537025727.846 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.848 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.849 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.849 * * * * [misc]points: Sampling 23 additional inputs, on iter 12 have 233 / 256 1537025727.849 * * * * [misc]points: Computing exacts for 23 points 1537025727.852 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.853 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.854 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.855 * * * * [misc]points: Sampling 18 additional inputs, on iter 13 have 238 / 256 1537025727.855 * * * * [misc]points: Computing exacts for 18 points 1537025727.857 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.858 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.859 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.859 * * * * [misc]points: Sampling 17 additional inputs, on iter 14 have 239 / 256 1537025727.859 * * * * [misc]points: Computing exacts for 17 points 1537025727.861 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.863 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.864 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.864 * * * * [misc]points: Sampling 16 additional inputs, on iter 15 have 240 / 256 1537025727.864 * * * * [misc]points: Computing exacts for 16 points 1537025727.867 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.868 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.869 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.869 * * * * [misc]points: Sampling 13 additional inputs, on iter 16 have 243 / 256 1537025727.869 * * * * [misc]points: Computing exacts for 13 points 1537025727.872 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.872 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.873 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.873 * * * * [misc]points: Sampling 13 additional inputs, on iter 17 have 243 / 256 1537025727.873 * * * * [misc]points: Computing exacts for 13 points 1537025727.876 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.877 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.877 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.878 * * * * [misc]points: Sampling 8 additional inputs, on iter 18 have 248 / 256 1537025727.878 * * * * [misc]points: Computing exacts for 8 points 1537025727.880 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.880 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.881 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.881 * * * * [misc]points: Sampling 7 additional inputs, on iter 19 have 249 / 256 1537025727.881 * * * * [misc]points: Computing exacts for 7 points 1537025727.883 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.884 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.884 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.884 * * * * [misc]points: Sampling 6 additional inputs, on iter 20 have 250 / 256 1537025727.884 * * * * [misc]points: Computing exacts for 6 points 1537025727.886 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.887 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.887 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.887 * * * * [misc]points: Sampling 5 additional inputs, on iter 21 have 251 / 256 1537025727.888 * * * * [misc]points: Computing exacts for 5 points 1537025727.890 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.890 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.890 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.891 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 252 / 256 1537025727.891 * * * * [misc]points: Computing exacts for 4 points 1537025727.893 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.893 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.893 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.893 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1537025727.894 * * * * [misc]points: Computing exacts for 4 points 1537025727.896 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.896 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.896 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.896 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 255 / 256 1537025727.896 * * * * [misc]points: Computing exacts for 4 points 1537025727.898 * * * * [misc]points: Setting MPFR precision to 1088 1537025727.899 * * * * [misc]points: Setting MPFR precision to 1344 1537025727.899 * * * * [misc]points: Filtering points with unrepresentable outputs 1537025727.899 * * * * [exit]points: Sampled 256 points with exact outputs 1537025727.900 * * * [misc]progress: [2/2] Setting up program. 1537025727.905 * [misc]progress: [Phase 2 of 3] Improving. 1537025727.906 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1537025727.907 * * [misc]simplify: iters left: 6 (13 enodes) 1537025727.911 * * [misc]simplify: iters left: 5 (28 enodes) 1537025727.925 * * [misc]simplify: iters left: 4 (44 enodes) 1537025727.935 * * [misc]simplify: iters left: 3 (54 enodes) 1537025727.941 * * [misc]simplify: iters left: 2 (57 enodes) 1537025727.949 * * [misc]simplify: iters left: 1 (65 enodes) 1537025727.960 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537025727.972 * * [misc]progress: iteration 1 / 4 1537025727.972 * * * [misc]progress: picking best candidate 1537025727.983 * * * * [misc]pick: Picked # 1537025727.983 * * * [misc]progress: localizing error 1537025728.037 * * * [misc]progress: generating rewritten candidates 1537025728.037 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) 1537025728.090 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1537025728.101 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1) 1537025728.123 * * * [misc]progress: generating series expansions 1537025728.123 * * * * [misc]progress: [ 1 / 3 ] generating series at (2) 1537025728.124 * [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)))) 1537025728.124 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1537025728.124 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1537025728.124 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537025728.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.124 * [misc]taylor: Taking taylor expansion of k in k 1537025728.124 * [misc]backup-simplify: Simplify 0 into 0 1537025728.124 * [misc]backup-simplify: Simplify 1 into 1 1537025728.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.124 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.125 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537025728.125 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.125 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.125 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.125 * [misc]taylor: Taking taylor expansion of k in k 1537025728.125 * [misc]backup-simplify: Simplify 0 into 0 1537025728.125 * [misc]backup-simplify: Simplify 1 into 1 1537025728.125 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.125 * [misc]backup-simplify: Simplify 2 into 2 1537025728.125 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025728.125 * [misc]taylor: Taking taylor expansion of n in k 1537025728.125 * [misc]backup-simplify: Simplify n into n 1537025728.125 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.125 * [misc]backup-simplify: Simplify PI into PI 1537025728.125 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025728.125 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025728.125 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025728.125 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025728.125 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.126 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.126 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537025728.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537025728.126 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of k in n 1537025728.126 * [misc]backup-simplify: Simplify k into k 1537025728.126 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.126 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537025728.126 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.126 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537025728.126 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537025728.126 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.127 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025728.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.127 * [misc]taylor: Taking taylor expansion of k in n 1537025728.127 * [misc]backup-simplify: Simplify k into k 1537025728.127 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025728.127 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.127 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.127 * [misc]backup-simplify: Simplify 2 into 2 1537025728.127 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.127 * [misc]taylor: Taking taylor expansion of n in n 1537025728.127 * [misc]backup-simplify: Simplify 0 into 0 1537025728.127 * [misc]backup-simplify: Simplify 1 into 1 1537025728.127 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.127 * [misc]backup-simplify: Simplify PI into PI 1537025728.127 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025728.127 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025728.128 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025728.128 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025728.128 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.128 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025728.128 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025728.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537025728.129 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.129 * [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)))) 1537025728.130 * [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))))) 1537025728.130 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1537025728.130 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1537025728.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.130 * [misc]taylor: Taking taylor expansion of k in n 1537025728.130 * [misc]backup-simplify: Simplify k into k 1537025728.130 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.130 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1537025728.130 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.131 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1537025728.131 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.131 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.131 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.131 * [misc]taylor: Taking taylor expansion of k in n 1537025728.131 * [misc]backup-simplify: Simplify k into k 1537025728.131 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.131 * [misc]backup-simplify: Simplify 2 into 2 1537025728.131 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.131 * [misc]taylor: Taking taylor expansion of n in n 1537025728.131 * [misc]backup-simplify: Simplify 0 into 0 1537025728.131 * [misc]backup-simplify: Simplify 1 into 1 1537025728.131 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.131 * [misc]backup-simplify: Simplify PI into PI 1537025728.131 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025728.131 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025728.132 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025728.133 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025728.133 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.133 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025728.133 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025728.133 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537025728.134 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.135 * [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)))) 1537025728.136 * [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))))) 1537025728.137 * [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))) 1537025728.137 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.137 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.137 * [misc]taylor: Taking taylor expansion of k in k 1537025728.137 * [misc]backup-simplify: Simplify 0 into 0 1537025728.137 * [misc]backup-simplify: Simplify 1 into 1 1537025728.137 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of n in k 1537025728.137 * [misc]backup-simplify: Simplify n into n 1537025728.137 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.137 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025728.137 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.137 * [misc]backup-simplify: Simplify 2 into 2 1537025728.137 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.137 * [misc]backup-simplify: Simplify PI into PI 1537025728.138 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.138 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.138 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025728.138 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.139 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.139 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.140 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537025728.140 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537025728.141 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1537025728.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.141 * [misc]taylor: Taking taylor expansion of k in k 1537025728.141 * [misc]backup-simplify: Simplify 0 into 0 1537025728.141 * [misc]backup-simplify: Simplify 1 into 1 1537025728.141 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.141 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.141 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537025728.142 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1537025728.142 * [misc]backup-simplify: Simplify 0 into 0 1537025728.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025728.145 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025728.149 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537025728.149 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.150 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.151 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537025728.152 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.153 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1537025728.153 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.153 * [misc]backup-simplify: Simplify 0 into 0 1537025728.154 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537025728.155 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025728.158 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.159 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025728.159 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.159 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.160 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537025728.162 * [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))))))) 1537025728.164 * [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))))))) 1537025728.165 * [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))))))) 1537025728.168 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.170 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025728.175 * [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 1537025728.176 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537025728.176 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.176 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.177 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.178 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537025728.181 * [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 1537025728.182 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.183 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1537025728.184 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1537025728.184 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.184 * [misc]backup-simplify: Simplify 0 into 0 1537025728.184 * [misc]backup-simplify: Simplify 0 into 0 1537025728.184 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1537025728.185 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025728.187 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537025728.189 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.195 * [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 1537025728.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.195 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537025728.195 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537025728.200 * [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))))) 1537025728.207 * [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)))))))) 1537025728.211 * [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)))))))) 1537025728.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025728.216 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025728.223 * [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 1537025728.223 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537025728.223 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.223 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.224 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.224 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537025728.227 * [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 1537025728.227 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.227 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1537025728.228 * [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 1537025728.228 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.228 * [misc]backup-simplify: Simplify 0 into 0 1537025728.228 * [misc]backup-simplify: Simplify 0 into 0 1537025728.228 * [misc]backup-simplify: Simplify 0 into 0 1537025728.228 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.229 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537025728.231 * [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 1537025728.232 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.240 * [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 1537025728.240 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.241 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025728.241 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.241 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1537025728.247 * [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))))))) 1537025728.258 * [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)))))))))))))) 1537025728.266 * [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)))))))))))))) 1537025728.277 * [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)))))))))))))))))))))) 1537025728.278 * [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))))) 1537025728.278 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1537025728.278 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of k in k 1537025728.278 * [misc]backup-simplify: Simplify 0 into 0 1537025728.278 * [misc]backup-simplify: Simplify 1 into 1 1537025728.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.278 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537025728.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of k in k 1537025728.278 * [misc]backup-simplify: Simplify 0 into 0 1537025728.278 * [misc]backup-simplify: Simplify 1 into 1 1537025728.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.278 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025728.278 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.278 * [misc]backup-simplify: Simplify 2 into 2 1537025728.279 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025728.279 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.279 * [misc]backup-simplify: Simplify PI into PI 1537025728.279 * [misc]taylor: Taking taylor expansion of n in k 1537025728.279 * [misc]backup-simplify: Simplify n into n 1537025728.279 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025728.279 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025728.279 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025728.279 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.279 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.279 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.279 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025728.279 * [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)))) 1537025728.280 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of k in n 1537025728.280 * [misc]backup-simplify: Simplify k into k 1537025728.280 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537025728.280 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537025728.280 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.280 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of k in n 1537025728.280 * [misc]backup-simplify: Simplify k into k 1537025728.280 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.280 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.280 * [misc]backup-simplify: Simplify 2 into 2 1537025728.280 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.280 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.280 * [misc]backup-simplify: Simplify PI into PI 1537025728.280 * [misc]taylor: Taking taylor expansion of n in n 1537025728.280 * [misc]backup-simplify: Simplify 0 into 0 1537025728.280 * [misc]backup-simplify: Simplify 1 into 1 1537025728.280 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.280 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.281 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.281 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.281 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025728.281 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537025728.282 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.282 * [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))) 1537025728.283 * [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)))) 1537025728.283 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of k in n 1537025728.283 * [misc]backup-simplify: Simplify k into k 1537025728.283 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1537025728.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1537025728.283 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of k in n 1537025728.283 * [misc]backup-simplify: Simplify k into k 1537025728.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.283 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.283 * [misc]backup-simplify: Simplify 2 into 2 1537025728.283 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.283 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.283 * [misc]backup-simplify: Simplify PI into PI 1537025728.283 * [misc]taylor: Taking taylor expansion of n in n 1537025728.283 * [misc]backup-simplify: Simplify 0 into 0 1537025728.283 * [misc]backup-simplify: Simplify 1 into 1 1537025728.284 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.284 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.284 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.284 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.284 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025728.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537025728.285 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.285 * [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))) 1537025728.286 * [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)))) 1537025728.286 * [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)) 1537025728.286 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1537025728.286 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537025728.286 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537025728.286 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537025728.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.286 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.287 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.287 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.287 * [misc]taylor: Taking taylor expansion of k in k 1537025728.287 * [misc]backup-simplify: Simplify 0 into 0 1537025728.287 * [misc]backup-simplify: Simplify 1 into 1 1537025728.287 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.287 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025728.287 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025728.287 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025728.287 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.287 * [misc]backup-simplify: Simplify 2 into 2 1537025728.287 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.287 * [misc]backup-simplify: Simplify PI into PI 1537025728.287 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.287 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.287 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.287 * [misc]taylor: Taking taylor expansion of n in k 1537025728.287 * [misc]backup-simplify: Simplify n into n 1537025728.287 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.288 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.288 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.288 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.288 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025728.288 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025728.289 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025728.289 * [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)))) 1537025728.289 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1537025728.289 * [misc]taylor: Taking taylor expansion of k in k 1537025728.289 * [misc]backup-simplify: Simplify 0 into 0 1537025728.289 * [misc]backup-simplify: Simplify 1 into 1 1537025728.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.289 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1537025728.290 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1537025728.290 * [misc]backup-simplify: Simplify 0 into 0 1537025728.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.291 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025728.294 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.295 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025728.295 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.295 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.297 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537025728.298 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.299 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1537025728.299 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.299 * [misc]backup-simplify: Simplify 0 into 0 1537025728.299 * [misc]backup-simplify: Simplify 0 into 0 1537025728.300 * [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)))))) 1537025728.301 * [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)))))) 1537025728.303 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.304 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.310 * [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 1537025728.310 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.310 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025728.310 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.311 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.311 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.312 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537025728.315 * [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 1537025728.315 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1537025728.316 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1537025728.317 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.317 * [misc]backup-simplify: Simplify 0 into 0 1537025728.317 * [misc]backup-simplify: Simplify 0 into 0 1537025728.317 * [misc]backup-simplify: Simplify 0 into 0 1537025728.318 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025728.319 * [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)))))) 1537025728.320 * [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)))))) 1537025728.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.333 * [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 1537025728.333 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537025728.334 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.336 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537025728.338 * [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 1537025728.338 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1537025728.339 * [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 1537025728.339 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.339 * [misc]backup-simplify: Simplify 0 into 0 1537025728.339 * [misc]backup-simplify: Simplify 0 into 0 1537025728.339 * [misc]backup-simplify: Simplify 0 into 0 1537025728.339 * [misc]backup-simplify: Simplify 0 into 0 1537025728.340 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537025728.343 * [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)))))) 1537025728.344 * [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)))))) 1537025728.346 * [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)))))))) 1537025728.346 * [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))) 1537025728.346 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1537025728.346 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.346 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.346 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.346 * [misc]taylor: Taking taylor expansion of k in k 1537025728.346 * [misc]backup-simplify: Simplify 0 into 0 1537025728.346 * [misc]backup-simplify: Simplify 1 into 1 1537025728.347 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.347 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.347 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.347 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025728.347 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025728.347 * [misc]taylor: Taking taylor expansion of -2 in k 1537025728.347 * [misc]backup-simplify: Simplify -2 into -2 1537025728.347 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025728.347 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.347 * [misc]backup-simplify: Simplify PI into PI 1537025728.347 * [misc]taylor: Taking taylor expansion of n in k 1537025728.347 * [misc]backup-simplify: Simplify n into n 1537025728.347 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025728.347 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025728.347 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025728.347 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.347 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.347 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025728.348 * [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))) 1537025728.348 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025728.348 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025728.348 * [misc]taylor: Taking taylor expansion of -1 in k 1537025728.348 * [misc]backup-simplify: Simplify -1 into -1 1537025728.348 * [misc]taylor: Taking taylor expansion of k in k 1537025728.348 * [misc]backup-simplify: Simplify 0 into 0 1537025728.348 * [misc]backup-simplify: Simplify 1 into 1 1537025728.348 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025728.348 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.348 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025728.349 * [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)))) 1537025728.349 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.349 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of k in n 1537025728.349 * [misc]backup-simplify: Simplify k into k 1537025728.349 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.349 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.349 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.349 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.349 * [misc]backup-simplify: Simplify -2 into -2 1537025728.349 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.349 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.349 * [misc]backup-simplify: Simplify PI into PI 1537025728.349 * [misc]taylor: Taking taylor expansion of n in n 1537025728.349 * [misc]backup-simplify: Simplify 0 into 0 1537025728.349 * [misc]backup-simplify: Simplify 1 into 1 1537025728.349 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.349 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.350 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.350 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.350 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537025728.350 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.351 * [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))) 1537025728.351 * [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)))) 1537025728.351 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025728.351 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025728.351 * [misc]taylor: Taking taylor expansion of -1 in n 1537025728.351 * [misc]backup-simplify: Simplify -1 into -1 1537025728.351 * [misc]taylor: Taking taylor expansion of k in n 1537025728.351 * [misc]backup-simplify: Simplify k into k 1537025728.351 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025728.351 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025728.351 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025728.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025728.352 * [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))) 1537025728.352 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.352 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of k in n 1537025728.352 * [misc]backup-simplify: Simplify k into k 1537025728.352 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.352 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.352 * [misc]backup-simplify: Simplify -2 into -2 1537025728.352 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.352 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.352 * [misc]backup-simplify: Simplify PI into PI 1537025728.352 * [misc]taylor: Taking taylor expansion of n in n 1537025728.353 * [misc]backup-simplify: Simplify 0 into 0 1537025728.353 * [misc]backup-simplify: Simplify 1 into 1 1537025728.353 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.353 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.353 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.353 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.353 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537025728.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.354 * [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))) 1537025728.355 * [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)))) 1537025728.355 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025728.355 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025728.355 * [misc]taylor: Taking taylor expansion of -1 in n 1537025728.355 * [misc]backup-simplify: Simplify -1 into -1 1537025728.355 * [misc]taylor: Taking taylor expansion of k in n 1537025728.355 * [misc]backup-simplify: Simplify k into k 1537025728.355 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025728.355 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025728.355 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025728.355 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025728.356 * [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))) 1537025728.356 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.356 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of k in k 1537025728.356 * [misc]backup-simplify: Simplify 0 into 0 1537025728.356 * [misc]backup-simplify: Simplify 1 into 1 1537025728.356 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.356 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.356 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.356 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537025728.356 * [misc]taylor: Taking taylor expansion of -2 in k 1537025728.356 * [misc]backup-simplify: Simplify -2 into -2 1537025728.356 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.356 * [misc]backup-simplify: Simplify PI into PI 1537025728.356 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.357 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.357 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.357 * [misc]taylor: Taking taylor expansion of n in k 1537025728.357 * [misc]backup-simplify: Simplify n into n 1537025728.357 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.357 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.357 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.357 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025728.357 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537025728.358 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537025728.358 * [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)))) 1537025728.358 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025728.358 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025728.358 * [misc]taylor: Taking taylor expansion of -1 in k 1537025728.358 * [misc]backup-simplify: Simplify -1 into -1 1537025728.358 * [misc]taylor: Taking taylor expansion of k in k 1537025728.358 * [misc]backup-simplify: Simplify 0 into 0 1537025728.358 * [misc]backup-simplify: Simplify 1 into 1 1537025728.358 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025728.359 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025728.359 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025728.359 * [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))))) 1537025728.360 * [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))))) 1537025728.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.361 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025728.363 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025728.363 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.363 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025728.363 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.364 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.364 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025728.365 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.366 * [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 1537025728.366 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.366 * [misc]backup-simplify: Simplify 0 into 0 1537025728.366 * [misc]backup-simplify: Simplify 0 into 0 1537025728.366 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025728.367 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025728.368 * [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)))))) 1537025728.368 * [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)))))) 1537025728.369 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.370 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.374 * [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 1537025728.374 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.375 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025728.375 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.376 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.377 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537025728.379 * [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 1537025728.379 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.380 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1537025728.381 * [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 1537025728.381 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.381 * [misc]backup-simplify: Simplify 0 into 0 1537025728.381 * [misc]backup-simplify: Simplify 0 into 0 1537025728.381 * [misc]backup-simplify: Simplify 0 into 0 1537025728.382 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.383 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1537025728.386 * [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)))))) 1537025728.387 * [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)))))) 1537025728.390 * [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))))))))))) 1537025728.390 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1537025728.391 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537025728.391 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025728.391 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.391 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.391 * [misc]backup-simplify: Simplify 2 into 2 1537025728.391 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.391 * [misc]taylor: Taking taylor expansion of n in n 1537025728.391 * [misc]backup-simplify: Simplify 0 into 0 1537025728.391 * [misc]backup-simplify: Simplify 1 into 1 1537025728.391 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.391 * [misc]backup-simplify: Simplify PI into PI 1537025728.391 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.391 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.391 * [misc]backup-simplify: Simplify 2 into 2 1537025728.391 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.391 * [misc]taylor: Taking taylor expansion of n in n 1537025728.391 * [misc]backup-simplify: Simplify 0 into 0 1537025728.391 * [misc]backup-simplify: Simplify 1 into 1 1537025728.391 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.391 * [misc]backup-simplify: Simplify PI into PI 1537025728.392 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025728.392 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025728.392 * [misc]backup-simplify: Simplify 0 into 0 1537025728.393 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025728.394 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025728.394 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.395 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025728.396 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025728.396 * [misc]backup-simplify: Simplify 0 into 0 1537025728.398 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.400 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025728.400 * [misc]backup-simplify: Simplify 0 into 0 1537025728.402 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025728.404 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025728.404 * [misc]backup-simplify: Simplify 0 into 0 1537025728.407 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025728.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025728.410 * [misc]backup-simplify: Simplify 0 into 0 1537025728.414 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025728.418 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025728.418 * [misc]backup-simplify: Simplify 0 into 0 1537025728.422 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025728.426 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025728.426 * [misc]backup-simplify: Simplify 0 into 0 1537025728.427 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025728.427 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537025728.427 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025728.427 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.427 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.427 * [misc]backup-simplify: Simplify 2 into 2 1537025728.427 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.427 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.427 * [misc]backup-simplify: Simplify PI into PI 1537025728.427 * [misc]taylor: Taking taylor expansion of n in n 1537025728.427 * [misc]backup-simplify: Simplify 0 into 0 1537025728.427 * [misc]backup-simplify: Simplify 1 into 1 1537025728.427 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.427 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.427 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.427 * [misc]backup-simplify: Simplify 2 into 2 1537025728.428 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.428 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.428 * [misc]backup-simplify: Simplify PI into PI 1537025728.428 * [misc]taylor: Taking taylor expansion of n in n 1537025728.428 * [misc]backup-simplify: Simplify 0 into 0 1537025728.428 * [misc]backup-simplify: Simplify 1 into 1 1537025728.428 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.428 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.429 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.430 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.431 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025728.431 * [misc]backup-simplify: Simplify 0 into 0 1537025728.432 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.433 * [misc]backup-simplify: Simplify 0 into 0 1537025728.435 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.437 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.437 * [misc]backup-simplify: Simplify 0 into 0 1537025728.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.441 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025728.441 * [misc]backup-simplify: Simplify 0 into 0 1537025728.443 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.446 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025728.446 * [misc]backup-simplify: Simplify 0 into 0 1537025728.449 * [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 1537025728.452 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025728.452 * [misc]backup-simplify: Simplify 0 into 0 1537025728.452 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025728.453 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537025728.453 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025728.453 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.453 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.453 * [misc]backup-simplify: Simplify -2 into -2 1537025728.453 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.453 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.453 * [misc]backup-simplify: Simplify PI into PI 1537025728.453 * [misc]taylor: Taking taylor expansion of n in n 1537025728.453 * [misc]backup-simplify: Simplify 0 into 0 1537025728.453 * [misc]backup-simplify: Simplify 1 into 1 1537025728.453 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.453 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.453 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.453 * [misc]backup-simplify: Simplify -2 into -2 1537025728.453 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.453 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.453 * [misc]backup-simplify: Simplify PI into PI 1537025728.453 * [misc]taylor: Taking taylor expansion of n in n 1537025728.453 * [misc]backup-simplify: Simplify 0 into 0 1537025728.454 * [misc]backup-simplify: Simplify 1 into 1 1537025728.454 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.454 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.454 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.456 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.456 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025728.456 * [misc]backup-simplify: Simplify 0 into 0 1537025728.458 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.459 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.459 * [misc]backup-simplify: Simplify 0 into 0 1537025728.460 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.462 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.462 * [misc]backup-simplify: Simplify 0 into 0 1537025728.464 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.466 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025728.466 * [misc]backup-simplify: Simplify 0 into 0 1537025728.468 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.472 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025728.473 * [misc]backup-simplify: Simplify 0 into 0 1537025728.475 * [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 1537025728.478 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025728.478 * [misc]backup-simplify: Simplify 0 into 0 1537025728.478 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025728.479 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1) 1537025728.479 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1537025728.479 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1537025728.479 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1537025728.479 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025728.479 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025728.479 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537025728.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.480 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025728.480 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.480 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.480 * [misc]taylor: Taking taylor expansion of k in k 1537025728.480 * [misc]backup-simplify: Simplify 0 into 0 1537025728.480 * [misc]backup-simplify: Simplify 1 into 1 1537025728.480 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025728.480 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025728.480 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.480 * [misc]backup-simplify: Simplify 2 into 2 1537025728.480 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025728.480 * [misc]taylor: Taking taylor expansion of n in k 1537025728.480 * [misc]backup-simplify: Simplify n into n 1537025728.480 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.480 * [misc]backup-simplify: Simplify PI into PI 1537025728.480 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025728.480 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025728.480 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025728.480 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025728.481 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.481 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.481 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1537025728.481 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1537025728.481 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537025728.481 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025728.481 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025728.481 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537025728.481 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.481 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025728.481 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.481 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.481 * [misc]taylor: Taking taylor expansion of k in n 1537025728.481 * [misc]backup-simplify: Simplify k into k 1537025728.482 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025728.482 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.482 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.482 * [misc]backup-simplify: Simplify 2 into 2 1537025728.482 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.482 * [misc]taylor: Taking taylor expansion of n in n 1537025728.482 * [misc]backup-simplify: Simplify 0 into 0 1537025728.482 * [misc]backup-simplify: Simplify 1 into 1 1537025728.482 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.482 * [misc]backup-simplify: Simplify PI into PI 1537025728.482 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025728.482 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025728.483 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025728.484 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025728.484 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.484 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025728.484 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025728.484 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537025728.485 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.486 * [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)))) 1537025728.487 * [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))))) 1537025728.487 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.487 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.487 * [misc]taylor: Taking taylor expansion of k in n 1537025728.487 * [misc]backup-simplify: Simplify k into k 1537025728.487 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.487 * [misc]backup-simplify: Simplify 2 into 2 1537025728.487 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025728.487 * [misc]taylor: Taking taylor expansion of n in n 1537025728.487 * [misc]backup-simplify: Simplify 0 into 0 1537025728.487 * [misc]backup-simplify: Simplify 1 into 1 1537025728.487 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.487 * [misc]backup-simplify: Simplify PI into PI 1537025728.488 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025728.488 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025728.489 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025728.489 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025728.490 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.490 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025728.490 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025728.490 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1537025728.491 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.492 * [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)))) 1537025728.493 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1537025728.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1537025728.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1537025728.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1537025728.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.493 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025728.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.493 * [misc]taylor: Taking taylor expansion of k in k 1537025728.493 * [misc]backup-simplify: Simplify 0 into 0 1537025728.493 * [misc]backup-simplify: Simplify 1 into 1 1537025728.493 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537025728.493 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.494 * [misc]taylor: Taking taylor expansion of n in k 1537025728.494 * [misc]backup-simplify: Simplify n into n 1537025728.494 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.494 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025728.494 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025728.494 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.494 * [misc]backup-simplify: Simplify 2 into 2 1537025728.494 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.494 * [misc]backup-simplify: Simplify PI into PI 1537025728.494 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.495 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.495 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025728.495 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.495 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.496 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.496 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1537025728.497 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537025728.498 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1537025728.499 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025728.500 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025728.503 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.504 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537025728.504 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.505 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.505 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537025728.507 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.507 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.507 * [misc]backup-simplify: Simplify 0 into 0 1537025728.507 * [misc]backup-simplify: Simplify 0 into 0 1537025728.508 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537025728.508 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025728.510 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.510 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.510 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025728.511 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.511 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.511 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1537025728.512 * [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))))))) 1537025728.513 * [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))))))) 1537025728.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.516 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025728.519 * [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 1537025728.519 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537025728.519 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.519 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.520 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025728.520 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537025728.522 * [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 1537025728.522 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.522 * [misc]backup-simplify: Simplify 0 into 0 1537025728.522 * [misc]backup-simplify: Simplify 0 into 0 1537025728.522 * [misc]backup-simplify: Simplify 0 into 0 1537025728.523 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1537025728.524 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.527 * [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 1537025728.527 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537025728.528 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.528 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.528 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537025728.531 * [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))))) 1537025728.533 * [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))))) 1537025728.538 * [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))))) 1537025728.538 * [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)))) 1537025728.539 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1537025728.539 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.539 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.539 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of k in k 1537025728.539 * [misc]backup-simplify: Simplify 0 into 0 1537025728.539 * [misc]backup-simplify: Simplify 1 into 1 1537025728.539 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.539 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.539 * [misc]backup-simplify: Simplify 2 into 2 1537025728.539 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025728.539 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.539 * [misc]backup-simplify: Simplify PI into PI 1537025728.539 * [misc]taylor: Taking taylor expansion of n in k 1537025728.539 * [misc]backup-simplify: Simplify n into n 1537025728.539 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025728.539 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025728.539 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025728.539 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.539 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.540 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.540 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025728.540 * [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)))) 1537025728.540 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.540 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.540 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.540 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of k in n 1537025728.540 * [misc]backup-simplify: Simplify k into k 1537025728.540 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.540 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.540 * [misc]backup-simplify: Simplify 2 into 2 1537025728.540 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.540 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.540 * [misc]backup-simplify: Simplify PI into PI 1537025728.540 * [misc]taylor: Taking taylor expansion of n in n 1537025728.540 * [misc]backup-simplify: Simplify 0 into 0 1537025728.540 * [misc]backup-simplify: Simplify 1 into 1 1537025728.541 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.541 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.541 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.541 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.541 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025728.541 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537025728.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.542 * [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))) 1537025728.543 * [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)))) 1537025728.543 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of k in n 1537025728.543 * [misc]backup-simplify: Simplify k into k 1537025728.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.543 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of 2 in n 1537025728.543 * [misc]backup-simplify: Simplify 2 into 2 1537025728.543 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.543 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.543 * [misc]backup-simplify: Simplify PI into PI 1537025728.543 * [misc]taylor: Taking taylor expansion of n in n 1537025728.543 * [misc]backup-simplify: Simplify 0 into 0 1537025728.543 * [misc]backup-simplify: Simplify 1 into 1 1537025728.543 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.544 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.545 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.545 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.545 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025728.545 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1537025728.546 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.546 * [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))) 1537025728.547 * [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)))) 1537025728.547 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1537025728.547 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1537025728.547 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1537025728.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.547 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.547 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.547 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.547 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.547 * [misc]taylor: Taking taylor expansion of k in k 1537025728.547 * [misc]backup-simplify: Simplify 0 into 0 1537025728.548 * [misc]backup-simplify: Simplify 1 into 1 1537025728.548 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.548 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025728.548 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025728.548 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025728.548 * [misc]taylor: Taking taylor expansion of 2 in k 1537025728.548 * [misc]backup-simplify: Simplify 2 into 2 1537025728.548 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.548 * [misc]backup-simplify: Simplify PI into PI 1537025728.548 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025728.549 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025728.549 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.549 * [misc]taylor: Taking taylor expansion of n in k 1537025728.549 * [misc]backup-simplify: Simplify n into n 1537025728.549 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.549 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.549 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025728.549 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1537025728.549 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025728.550 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025728.551 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025728.552 * [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)))) 1537025728.552 * [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)))) 1537025728.554 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.554 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025728.557 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025728.557 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.558 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025728.558 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.558 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.559 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.559 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537025728.560 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.560 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.561 * [misc]backup-simplify: Simplify 0 into 0 1537025728.561 * [misc]backup-simplify: Simplify 0 into 0 1537025728.561 * [misc]backup-simplify: Simplify 0 into 0 1537025728.561 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.562 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.566 * [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 1537025728.566 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.566 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025728.566 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.566 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.567 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.567 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537025728.569 * [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 1537025728.569 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.569 * [misc]backup-simplify: Simplify 0 into 0 1537025728.569 * [misc]backup-simplify: Simplify 0 into 0 1537025728.569 * [misc]backup-simplify: Simplify 0 into 0 1537025728.569 * [misc]backup-simplify: Simplify 0 into 0 1537025728.570 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.571 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.576 * [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 1537025728.576 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.577 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537025728.577 * [misc]backup-simplify: Simplify (- 0) into 0 1537025728.577 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.578 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025728.578 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537025728.580 * [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 1537025728.580 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.581 * [misc]backup-simplify: Simplify 0 into 0 1537025728.581 * [misc]backup-simplify: Simplify 0 into 0 1537025728.581 * [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))))) 1537025728.581 * [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)) 1537025728.581 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1537025728.581 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.581 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.581 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.581 * [misc]taylor: Taking taylor expansion of k in k 1537025728.581 * [misc]backup-simplify: Simplify 0 into 0 1537025728.581 * [misc]backup-simplify: Simplify 1 into 1 1537025728.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.582 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025728.582 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025728.582 * [misc]taylor: Taking taylor expansion of -2 in k 1537025728.582 * [misc]backup-simplify: Simplify -2 into -2 1537025728.582 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025728.582 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.582 * [misc]backup-simplify: Simplify PI into PI 1537025728.582 * [misc]taylor: Taking taylor expansion of n in k 1537025728.582 * [misc]backup-simplify: Simplify n into n 1537025728.582 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025728.582 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025728.582 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025728.582 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.582 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.582 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025728.582 * [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))) 1537025728.583 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.583 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of k in n 1537025728.583 * [misc]backup-simplify: Simplify k into k 1537025728.583 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.583 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.583 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.583 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.583 * [misc]backup-simplify: Simplify -2 into -2 1537025728.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.583 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.583 * [misc]backup-simplify: Simplify PI into PI 1537025728.583 * [misc]taylor: Taking taylor expansion of n in n 1537025728.583 * [misc]backup-simplify: Simplify 0 into 0 1537025728.583 * [misc]backup-simplify: Simplify 1 into 1 1537025728.583 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.583 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.585 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.585 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.585 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537025728.586 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.586 * [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))) 1537025728.586 * [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)))) 1537025728.586 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.587 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of k in n 1537025728.587 * [misc]backup-simplify: Simplify k into k 1537025728.587 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025728.587 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025728.587 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.587 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of -2 in n 1537025728.587 * [misc]backup-simplify: Simplify -2 into -2 1537025728.587 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025728.587 * [misc]taylor: Taking taylor expansion of PI in n 1537025728.587 * [misc]backup-simplify: Simplify PI into PI 1537025728.587 * [misc]taylor: Taking taylor expansion of n in n 1537025728.587 * [misc]backup-simplify: Simplify 0 into 0 1537025728.587 * [misc]backup-simplify: Simplify 1 into 1 1537025728.587 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025728.587 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.588 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.588 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025728.588 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1537025728.589 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.590 * [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))) 1537025728.590 * [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)))) 1537025728.590 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1537025728.590 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.591 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of k in k 1537025728.591 * [misc]backup-simplify: Simplify 0 into 0 1537025728.591 * [misc]backup-simplify: Simplify 1 into 1 1537025728.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025728.591 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025728.591 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025728.591 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537025728.591 * [misc]taylor: Taking taylor expansion of -2 in k 1537025728.591 * [misc]backup-simplify: Simplify -2 into -2 1537025728.591 * [misc]taylor: Taking taylor expansion of PI in k 1537025728.591 * [misc]backup-simplify: Simplify PI into PI 1537025728.592 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025728.592 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025728.592 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025728.592 * [misc]taylor: Taking taylor expansion of n in k 1537025728.592 * [misc]backup-simplify: Simplify n into n 1537025728.592 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025728.592 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025728.593 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1537025728.593 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025728.593 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537025728.594 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537025728.595 * [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)))) 1537025728.595 * [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)))) 1537025728.597 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025728.597 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025728.601 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025728.601 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025728.601 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025728.602 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.602 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.603 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025728.605 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025728.605 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.605 * [misc]backup-simplify: Simplify 0 into 0 1537025728.605 * [misc]backup-simplify: Simplify 0 into 0 1537025728.605 * [misc]backup-simplify: Simplify 0 into 0 1537025728.606 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.607 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025728.613 * [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 1537025728.614 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025728.614 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.615 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.616 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537025728.619 * [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 1537025728.619 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.619 * [misc]backup-simplify: Simplify 0 into 0 1537025728.619 * [misc]backup-simplify: Simplify 0 into 0 1537025728.619 * [misc]backup-simplify: Simplify 0 into 0 1537025728.619 * [misc]backup-simplify: Simplify 0 into 0 1537025728.621 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025728.622 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025728.632 * [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 1537025728.632 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025728.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537025728.633 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025728.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025728.634 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1537025728.639 * [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 1537025728.639 * [misc]taylor: Taking taylor expansion of 0 in k 1537025728.639 * [misc]backup-simplify: Simplify 0 into 0 1537025728.639 * [misc]backup-simplify: Simplify 0 into 0 1537025728.640 * [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))))) 1537025728.640 * * * [misc]progress: simplifying candidates 1537025728.640 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1537025728.640 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1537025728.640 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537025728.641 * * [misc]simplify: iters left: 6 (14 enodes) 1537025728.648 * * [misc]simplify: iters left: 5 (26 enodes) 1537025728.662 * * [misc]simplify: iters left: 4 (53 enodes) 1537025728.694 * * [misc]simplify: iters left: 3 (137 enodes) 1537025728.782 * * [misc]simplify: iters left: 2 (487 enodes) 1537025729.642 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537025729.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537025729.642 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1537025729.643 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1537025729.644 * * [misc]simplify: iters left: 6 (14 enodes) 1537025729.651 * * [misc]simplify: iters left: 5 (26 enodes) 1537025729.665 * * [misc]simplify: iters left: 4 (53 enodes) 1537025729.694 * * [misc]simplify: iters left: 3 (137 enodes) 1537025729.806 * * [misc]simplify: iters left: 2 (487 enodes) 1537025730.865 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1537025730.866 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1537025730.866 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1537025730.866 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1537025730.868 * * [misc]simplify: iters left: 6 (14 enodes) 1537025730.874 * * [misc]simplify: iters left: 5 (24 enodes) 1537025730.886 * * [misc]simplify: iters left: 4 (42 enodes) 1537025730.904 * * [misc]simplify: iters left: 3 (71 enodes) 1537025730.957 * * [misc]simplify: iters left: 2 (208 enodes) 1537025731.457 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1537025731.458 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1537025731.458 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1537025731.458 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1537025731.458 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1537025731.458 * [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))) 1537025731.460 * * [misc]simplify: iters left: 6 (16 enodes) 1537025731.466 * * [misc]simplify: iters left: 5 (31 enodes) 1537025731.475 * * [misc]simplify: iters left: 4 (67 enodes) 1537025731.493 * * [misc]simplify: iters left: 3 (124 enodes) 1537025731.533 * * [misc]simplify: iters left: 2 (195 enodes) 1537025731.625 * * [misc]simplify: iters left: 1 (309 enodes) 1537025731.793 * [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)))) 1537025731.793 * [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)))))) 1537025731.793 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1537025731.794 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1537025731.794 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1537025731.794 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1537025731.794 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1537025731.794 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025731.795 * * [misc]simplify: iters left: 6 (12 enodes) 1537025731.800 * * [misc]simplify: iters left: 5 (19 enodes) 1537025731.807 * * [misc]simplify: iters left: 4 (25 enodes) 1537025731.816 * * [misc]simplify: iters left: 3 (26 enodes) 1537025731.824 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025731.824 * [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))))) 1537025731.825 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537025731.826 * * [misc]simplify: iters left: 6 (12 enodes) 1537025731.831 * * [misc]simplify: iters left: 5 (18 enodes) 1537025731.838 * * [misc]simplify: iters left: 4 (24 enodes) 1537025731.845 * * [misc]simplify: iters left: 3 (25 enodes) 1537025731.854 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537025731.854 * [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))))) 1537025731.854 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1537025731.854 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537025731.855 * * [misc]simplify: iters left: 6 (11 enodes) 1537025731.860 * * [misc]simplify: iters left: 5 (16 enodes) 1537025731.866 * * [misc]simplify: iters left: 4 (22 enodes) 1537025731.873 * * [misc]simplify: iters left: 3 (24 enodes) 1537025731.881 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537025731.881 * [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))))) 1537025731.881 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537025731.883 * * [misc]simplify: iters left: 6 (12 enodes) 1537025731.887 * * [misc]simplify: iters left: 5 (18 enodes) 1537025731.894 * * [misc]simplify: iters left: 4 (24 enodes) 1537025731.902 * * [misc]simplify: iters left: 3 (25 enodes) 1537025731.911 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537025731.911 * [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))))) 1537025731.911 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1537025731.911 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537025731.912 * * [misc]simplify: iters left: 6 (9 enodes) 1537025731.916 * * [misc]simplify: iters left: 5 (16 enodes) 1537025731.926 * * [misc]simplify: iters left: 4 (24 enodes) 1537025731.933 * * [misc]simplify: iters left: 3 (26 enodes) 1537025731.941 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537025731.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537025731.941 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537025731.943 * * [misc]simplify: iters left: 6 (11 enodes) 1537025731.947 * * [misc]simplify: iters left: 5 (17 enodes) 1537025731.954 * * [misc]simplify: iters left: 4 (23 enodes) 1537025731.961 * * [misc]simplify: iters left: 3 (24 enodes) 1537025731.970 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537025731.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537025731.970 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1537025731.970 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025731.971 * * [misc]simplify: iters left: 6 (12 enodes) 1537025731.977 * * [misc]simplify: iters left: 5 (19 enodes) 1537025731.982 * * [misc]simplify: iters left: 4 (25 enodes) 1537025731.986 * * [misc]simplify: iters left: 3 (26 enodes) 1537025731.990 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025731.990 * [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))))) 1537025731.990 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1537025731.991 * * [misc]simplify: iters left: 6 (12 enodes) 1537025731.993 * * [misc]simplify: iters left: 5 (18 enodes) 1537025731.997 * * [misc]simplify: iters left: 4 (24 enodes) 1537025732.001 * * [misc]simplify: iters left: 3 (25 enodes) 1537025732.005 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1537025732.005 * [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))))) 1537025732.005 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1537025732.005 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1537025732.006 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.009 * * [misc]simplify: iters left: 5 (16 enodes) 1537025732.015 * * [misc]simplify: iters left: 4 (22 enodes) 1537025732.022 * * [misc]simplify: iters left: 3 (24 enodes) 1537025732.032 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1537025732.032 * [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))))) 1537025732.032 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1537025732.033 * * [misc]simplify: iters left: 6 (12 enodes) 1537025732.039 * * [misc]simplify: iters left: 5 (18 enodes) 1537025732.045 * * [misc]simplify: iters left: 4 (24 enodes) 1537025732.053 * * [misc]simplify: iters left: 3 (25 enodes) 1537025732.062 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1537025732.062 * [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))))) 1537025732.062 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1537025732.062 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1537025732.063 * * [misc]simplify: iters left: 6 (9 enodes) 1537025732.067 * * [misc]simplify: iters left: 5 (16 enodes) 1537025732.074 * * [misc]simplify: iters left: 4 (24 enodes) 1537025732.080 * * [misc]simplify: iters left: 3 (26 enodes) 1537025732.088 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1537025732.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1537025732.088 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1537025732.090 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.094 * * [misc]simplify: iters left: 5 (17 enodes) 1537025732.101 * * [misc]simplify: iters left: 4 (23 enodes) 1537025732.108 * * [misc]simplify: iters left: 3 (24 enodes) 1537025732.116 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1537025732.116 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1537025732.117 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1537025732.117 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025732.118 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.122 * * [misc]simplify: iters left: 5 (15 enodes) 1537025732.127 * * [misc]simplify: iters left: 4 (18 enodes) 1537025732.134 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025732.134 * [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))))) 1537025732.134 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537025732.135 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.139 * * [misc]simplify: iters left: 5 (14 enodes) 1537025732.144 * * [misc]simplify: iters left: 4 (17 enodes) 1537025732.150 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537025732.150 * [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))))) 1537025732.150 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1537025732.150 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.151 * * [misc]simplify: iters left: 6 (10 enodes) 1537025732.155 * * [misc]simplify: iters left: 5 (12 enodes) 1537025732.159 * * [misc]simplify: iters left: 4 (15 enodes) 1537025732.167 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.167 * [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))))) 1537025732.167 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.168 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.172 * * [misc]simplify: iters left: 5 (14 enodes) 1537025732.177 * * [misc]simplify: iters left: 4 (17 enodes) 1537025732.183 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.183 * [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))))) 1537025732.183 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1537025732.184 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1537025732.184 * * [misc]simplify: iters left: 6 (9 enodes) 1537025732.188 * * [misc]simplify: iters left: 5 (13 enodes) 1537025732.193 * * [misc]simplify: iters left: 4 (18 enodes) 1537025732.199 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537025732.199 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537025732.199 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537025732.200 * * [misc]simplify: iters left: 6 (10 enodes) 1537025732.204 * * [misc]simplify: iters left: 5 (13 enodes) 1537025732.208 * * [misc]simplify: iters left: 4 (16 enodes) 1537025732.214 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1537025732.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1537025732.214 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1537025732.214 * [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)))) 1537025732.216 * * [misc]simplify: iters left: 6 (16 enodes) 1537025732.223 * * [misc]simplify: iters left: 5 (28 enodes) 1537025732.236 * * [misc]simplify: iters left: 4 (46 enodes) 1537025732.250 * * [misc]simplify: iters left: 3 (50 enodes) 1537025732.257 * * [misc]simplify: iters left: 2 (53 enodes) 1537025732.267 * [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)))) 1537025732.267 * [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))))) 1537025732.268 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537025732.268 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.271 * * [misc]simplify: iters left: 5 (20 enodes) 1537025732.280 * * [misc]simplify: iters left: 4 (29 enodes) 1537025732.288 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.296 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537025732.296 * [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))))) 1537025732.297 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1537025732.297 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1537025732.298 * * [misc]simplify: iters left: 6 (15 enodes) 1537025732.304 * * [misc]simplify: iters left: 5 (23 enodes) 1537025732.313 * * [misc]simplify: iters left: 4 (34 enodes) 1537025732.322 * * [misc]simplify: iters left: 3 (37 enodes) 1537025732.335 * [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)))))) 1537025732.335 * [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))))) 1537025732.335 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.336 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.342 * * [misc]simplify: iters left: 5 (20 enodes) 1537025732.350 * * [misc]simplify: iters left: 4 (29 enodes) 1537025732.360 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.370 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.370 * [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))))) 1537025732.370 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1537025732.370 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1537025732.371 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.378 * * [misc]simplify: iters left: 5 (24 enodes) 1537025732.389 * * [misc]simplify: iters left: 4 (39 enodes) 1537025732.404 * * [misc]simplify: iters left: 3 (54 enodes) 1537025732.423 * * [misc]simplify: iters left: 2 (80 enodes) 1537025732.448 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1537025732.449 * [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)))) 1537025732.449 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537025732.450 * * [misc]simplify: iters left: 6 (13 enodes) 1537025732.456 * * [misc]simplify: iters left: 5 (19 enodes) 1537025732.463 * * [misc]simplify: iters left: 4 (28 enodes) 1537025732.468 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.473 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537025732.473 * [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)))) 1537025732.474 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1537025732.474 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025732.475 * * [misc]simplify: iters left: 6 (15 enodes) 1537025732.478 * * [misc]simplify: iters left: 5 (23 enodes) 1537025732.482 * * [misc]simplify: iters left: 4 (32 enodes) 1537025732.488 * * [misc]simplify: iters left: 3 (34 enodes) 1537025732.498 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025732.498 * [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))))) 1537025732.498 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537025732.499 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.504 * * [misc]simplify: iters left: 5 (20 enodes) 1537025732.513 * * [misc]simplify: iters left: 4 (29 enodes) 1537025732.521 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.526 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1537025732.526 * [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))))) 1537025732.526 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1537025732.526 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.527 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.530 * * [misc]simplify: iters left: 5 (20 enodes) 1537025732.534 * * [misc]simplify: iters left: 4 (29 enodes) 1537025732.538 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.543 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.543 * [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))))) 1537025732.544 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.544 * * [misc]simplify: iters left: 6 (14 enodes) 1537025732.547 * * [misc]simplify: iters left: 5 (20 enodes) 1537025732.552 * * [misc]simplify: iters left: 4 (29 enodes) 1537025732.561 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.569 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1537025732.570 * [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))))) 1537025732.570 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1537025732.570 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1537025732.570 * * [misc]simplify: iters left: 6 (13 enodes) 1537025732.573 * * [misc]simplify: iters left: 5 (21 enodes) 1537025732.578 * * [misc]simplify: iters left: 4 (32 enodes) 1537025732.583 * * [misc]simplify: iters left: 3 (33 enodes) 1537025732.588 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1537025732.588 * [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)))) 1537025732.588 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1537025732.589 * * [misc]simplify: iters left: 6 (13 enodes) 1537025732.593 * * [misc]simplify: iters left: 5 (19 enodes) 1537025732.597 * * [misc]simplify: iters left: 4 (28 enodes) 1537025732.605 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.614 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1537025732.614 * [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)))) 1537025732.614 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1537025732.614 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025732.615 * * [misc]simplify: iters left: 6 (6 enodes) 1537025732.616 * * [misc]simplify: iters left: 5 (10 enodes) 1537025732.618 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1537025732.618 * [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))))) 1537025732.618 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537025732.620 * * [misc]simplify: iters left: 6 (13 enodes) 1537025732.623 * * [misc]simplify: iters left: 5 (19 enodes) 1537025732.627 * * [misc]simplify: iters left: 4 (28 enodes) 1537025732.631 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.636 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1537025732.636 * [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))))) 1537025732.636 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1537025732.636 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1537025732.637 * * [misc]simplify: iters left: 4 (5 enodes) 1537025732.637 * * [misc]simplify: iters left: 3 (7 enodes) 1537025732.639 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537025732.639 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537025732.639 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.639 * * [misc]simplify: iters left: 6 (13 enodes) 1537025732.642 * * [misc]simplify: iters left: 5 (19 enodes) 1537025732.646 * * [misc]simplify: iters left: 4 (28 enodes) 1537025732.651 * * [misc]simplify: iters left: 3 (30 enodes) 1537025732.656 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1537025732.656 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1537025732.656 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1537025732.656 * [enter]simplify: Simplifying (/ 1 1) 1537025732.656 * * [misc]simplify: iters left: 2 (2 enodes) 1537025732.657 * * [misc]simplify: iters left: 1 (4 enodes) 1537025732.657 * [exit]simplify: Simplified to 1 1537025732.657 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1537025732.657 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1537025732.658 * * [misc]simplify: iters left: 6 (12 enodes) 1537025732.661 * * [misc]simplify: iters left: 5 (18 enodes) 1537025732.664 * * [misc]simplify: iters left: 4 (27 enodes) 1537025732.671 * * [misc]simplify: iters left: 3 (29 enodes) 1537025732.678 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1537025732.678 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1537025732.678 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1537025732.678 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1537025732.678 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1537025732.678 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1537025732.678 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1537025732.679 * * [misc]simplify: iters left: 2 (3 enodes) 1537025732.679 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1537025732.679 * [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)))) 1537025732.679 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1537025732.679 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1537025732.680 * * [misc]simplify: iters left: 2 (3 enodes) 1537025732.680 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537025732.680 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1537025732.680 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1537025732.680 * [enter]simplify: Simplifying (sqrt k) 1537025732.680 * * [misc]simplify: iters left: 1 (2 enodes) 1537025732.681 * [exit]simplify: Simplified to (sqrt k) 1537025732.681 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1537025732.681 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1537025732.681 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537025732.681 * * [misc]simplify: iters left: 5 (7 enodes) 1537025732.683 * * [misc]simplify: iters left: 4 (12 enodes) 1537025732.685 * * [misc]simplify: iters left: 3 (18 enodes) 1537025732.688 * * [misc]simplify: iters left: 2 (20 enodes) 1537025732.692 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537025732.692 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025732.692 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1537025732.692 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537025732.692 * * [misc]simplify: iters left: 5 (7 enodes) 1537025732.694 * * [misc]simplify: iters left: 4 (12 enodes) 1537025732.696 * * [misc]simplify: iters left: 3 (18 enodes) 1537025732.700 * * [misc]simplify: iters left: 2 (20 enodes) 1537025732.706 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537025732.706 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025732.706 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1537025732.707 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537025732.707 * * [misc]simplify: iters left: 5 (7 enodes) 1537025732.710 * * [misc]simplify: iters left: 4 (9 enodes) 1537025732.713 * * [misc]simplify: iters left: 3 (12 enodes) 1537025732.717 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537025732.717 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1537025732.717 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1537025732.718 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1537025732.719 * * [misc]simplify: iters left: 6 (12 enodes) 1537025732.724 * * [misc]simplify: iters left: 5 (18 enodes) 1537025732.727 * * [misc]simplify: iters left: 4 (27 enodes) 1537025732.732 * * [misc]simplify: iters left: 3 (29 enodes) 1537025732.737 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1537025732.737 * [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))))))) 1537025732.737 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1537025732.737 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1537025732.738 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.740 * * [misc]simplify: iters left: 5 (17 enodes) 1537025732.744 * * [misc]simplify: iters left: 4 (26 enodes) 1537025732.748 * * [misc]simplify: iters left: 3 (27 enodes) 1537025732.754 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1537025732.754 * [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))))))) 1537025732.754 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1537025732.754 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1537025732.754 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1537025732.755 * * [misc]simplify: iters left: 5 (7 enodes) 1537025732.757 * * [misc]simplify: iters left: 4 (12 enodes) 1537025732.762 * * [misc]simplify: iters left: 3 (18 enodes) 1537025732.766 * * [misc]simplify: iters left: 2 (20 enodes) 1537025732.769 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537025732.769 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1537025732.769 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1537025732.769 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1537025732.770 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1537025732.770 * * [misc]simplify: iters left: 6 (11 enodes) 1537025732.773 * * [misc]simplify: iters left: 5 (21 enodes) 1537025732.779 * * [misc]simplify: iters left: 4 (47 enodes) 1537025732.794 * * [misc]simplify: iters left: 3 (109 enodes) 1537025732.851 * * [misc]simplify: iters left: 2 (300 enodes) 1537025733.175 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1537025733.175 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1537025733.175 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1537025733.175 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1537025733.175 * [enter]simplify: Simplifying (* PI (* n 2)) 1537025733.175 * * [misc]simplify: iters left: 4 (5 enodes) 1537025733.177 * * [misc]simplify: iters left: 3 (9 enodes) 1537025733.179 * * [misc]simplify: iters left: 2 (15 enodes) 1537025733.181 * * [misc]simplify: iters left: 1 (17 enodes) 1537025733.184 * [exit]simplify: Simplified to (* (* 2 n) PI) 1537025733.184 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1537025733.184 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1537025733.184 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537025733.185 * * [misc]simplify: iters left: 5 (8 enodes) 1537025733.187 * * [misc]simplify: iters left: 4 (12 enodes) 1537025733.192 * * [misc]simplify: iters left: 3 (18 enodes) 1537025733.198 * * [misc]simplify: iters left: 2 (20 enodes) 1537025733.205 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537025733.205 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1537025733.205 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1537025733.205 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1537025733.206 * * [misc]simplify: iters left: 5 (6 enodes) 1537025733.208 * * [misc]simplify: iters left: 4 (8 enodes) 1537025733.211 * * [misc]simplify: iters left: 3 (11 enodes) 1537025733.215 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1537025733.215 * [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))) 1537025733.215 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1537025733.215 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1537025733.216 * * [misc]simplify: iters left: 5 (6 enodes) 1537025733.218 * * [misc]simplify: iters left: 4 (8 enodes) 1537025733.221 * * [misc]simplify: iters left: 3 (11 enodes) 1537025733.224 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1537025733.224 * [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))) 1537025733.224 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1537025733.225 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1537025733.225 * * [misc]simplify: iters left: 4 (5 enodes) 1537025733.227 * * [misc]simplify: iters left: 3 (7 enodes) 1537025733.229 * * [misc]simplify: iters left: 2 (10 enodes) 1537025733.233 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1537025733.233 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1537025733.233 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1537025733.233 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537025733.234 * * [misc]simplify: iters left: 5 (9 enodes) 1537025733.238 * * [misc]simplify: iters left: 4 (15 enodes) 1537025733.244 * * [misc]simplify: iters left: 3 (21 enodes) 1537025733.251 * * [misc]simplify: iters left: 2 (22 enodes) 1537025733.259 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537025733.259 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537025733.259 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1537025733.259 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537025733.260 * * [misc]simplify: iters left: 5 (9 enodes) 1537025733.265 * * [misc]simplify: iters left: 4 (15 enodes) 1537025733.271 * * [misc]simplify: iters left: 3 (21 enodes) 1537025733.278 * * [misc]simplify: iters left: 2 (22 enodes) 1537025733.285 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537025733.285 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1537025733.286 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1537025733.286 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1537025733.286 * * [misc]simplify: iters left: 5 (7 enodes) 1537025733.289 * * [misc]simplify: iters left: 4 (9 enodes) 1537025733.293 * * [misc]simplify: iters left: 3 (12 enodes) 1537025733.297 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1537025733.297 * [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))) 1537025733.297 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1537025733.297 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1537025733.297 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1537025733.297 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1537025733.297 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1537025733.298 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1537025733.298 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1537025733.298 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1537025733.298 * [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)))))))))))))))))))))) 1537025733.298 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025733.298 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1537025733.298 * [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)))))))) 1537025733.298 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025733.299 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1537025733.299 * [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))))))))))) 1537025733.299 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025733.299 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1537025733.299 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025733.300 * * [misc]simplify: iters left: 4 (5 enodes) 1537025733.302 * * [misc]simplify: iters left: 3 (9 enodes) 1537025733.306 * * [misc]simplify: iters left: 2 (15 enodes) 1537025733.311 * * [misc]simplify: iters left: 1 (17 enodes) 1537025733.317 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025733.317 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537025733.317 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1537025733.317 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025733.318 * * [misc]simplify: iters left: 4 (5 enodes) 1537025733.320 * * [misc]simplify: iters left: 3 (9 enodes) 1537025733.324 * * [misc]simplify: iters left: 2 (15 enodes) 1537025733.329 * * [misc]simplify: iters left: 1 (17 enodes) 1537025733.335 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025733.335 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537025733.335 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1537025733.335 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025733.336 * * [misc]simplify: iters left: 4 (5 enodes) 1537025733.338 * * [misc]simplify: iters left: 3 (9 enodes) 1537025733.342 * * [misc]simplify: iters left: 2 (15 enodes) 1537025733.347 * * [misc]simplify: iters left: 1 (17 enodes) 1537025733.353 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025733.353 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1537025733.353 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1537025733.353 * [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))))) 1537025733.358 * * [misc]simplify: iters left: 6 (37 enodes) 1537025733.383 * * [misc]simplify: iters left: 5 (105 enodes) 1537025733.458 * * [misc]simplify: iters left: 4 (339 enodes) 1537025734.026 * [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))))) 1537025734.026 * [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))) 1537025734.026 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1537025734.027 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1537025734.028 * * [misc]simplify: iters left: 6 (15 enodes) 1537025734.038 * * [misc]simplify: iters left: 5 (33 enodes) 1537025734.054 * * [misc]simplify: iters left: 4 (64 enodes) 1537025734.088 * * [misc]simplify: iters left: 3 (171 enodes) 1537025734.272 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1537025734.272 * [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))) 1537025734.272 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1537025734.272 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1537025734.274 * * [misc]simplify: iters left: 6 (15 enodes) 1537025734.283 * * [misc]simplify: iters left: 5 (30 enodes) 1537025734.300 * * [misc]simplify: iters left: 4 (65 enodes) 1537025734.333 * * [misc]simplify: iters left: 3 (200 enodes) 1537025734.541 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1537025734.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1537025734.542 * * * [misc]progress: adding candidates to table 1537025736.068 * * [misc]progress: iteration 2 / 4 1537025736.069 * * * [misc]progress: picking best candidate 1537025736.143 * * * * [misc]pick: Picked # 1537025736.144 * * * [misc]progress: localizing error 1537025736.203 * * * [misc]progress: generating rewritten candidates 1537025736.204 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1537025736.275 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1537025736.287 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 1) 1537025736.301 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1537025736.306 * * * [misc]progress: generating series expansions 1537025736.306 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1537025736.307 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1537025736.307 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (n k) around 0 1537025736.307 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.307 * [misc]backup-simplify: Simplify 2 into 2 1537025736.307 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.307 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.307 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025736.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.307 * [misc]taylor: Taking taylor expansion of k in k 1537025736.307 * [misc]backup-simplify: Simplify 0 into 0 1537025736.307 * [misc]backup-simplify: Simplify 1 into 1 1537025736.307 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.307 * [misc]backup-simplify: Simplify 2 into 2 1537025736.307 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025736.307 * [misc]taylor: Taking taylor expansion of n in k 1537025736.307 * [misc]backup-simplify: Simplify n into n 1537025736.307 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.307 * [misc]backup-simplify: Simplify PI into PI 1537025736.307 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025736.308 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025736.308 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025736.308 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025736.308 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.308 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537025736.308 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.308 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025736.309 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537025736.309 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537025736.309 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025736.310 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025736.310 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537025736.310 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025736.310 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537025736.310 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537025736.310 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025736.310 * [misc]taylor: Taking taylor expansion of n in k 1537025736.310 * [misc]backup-simplify: Simplify n into n 1537025736.310 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.310 * [misc]backup-simplify: Simplify PI into PI 1537025736.310 * [misc]taylor: Taking taylor expansion of k in k 1537025736.310 * [misc]backup-simplify: Simplify 0 into 0 1537025736.310 * [misc]backup-simplify: Simplify 1 into 1 1537025736.310 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025736.310 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537025736.310 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.310 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537025736.310 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537025736.310 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537025736.310 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025736.310 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.310 * [misc]backup-simplify: Simplify 2 into 2 1537025736.311 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.311 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.311 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025736.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.311 * [misc]taylor: Taking taylor expansion of k in n 1537025736.311 * [misc]backup-simplify: Simplify k into k 1537025736.311 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.311 * [misc]backup-simplify: Simplify 2 into 2 1537025736.311 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025736.311 * [misc]taylor: Taking taylor expansion of n in n 1537025736.311 * [misc]backup-simplify: Simplify 0 into 0 1537025736.311 * [misc]backup-simplify: Simplify 1 into 1 1537025736.311 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.311 * [misc]backup-simplify: Simplify PI into PI 1537025736.311 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025736.311 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025736.312 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025736.312 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025736.313 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.313 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025736.313 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025736.313 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.314 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537025736.314 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537025736.314 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537025736.314 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537025736.314 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025736.314 * [misc]taylor: Taking taylor expansion of n in n 1537025736.314 * [misc]backup-simplify: Simplify 0 into 0 1537025736.314 * [misc]backup-simplify: Simplify 1 into 1 1537025736.314 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.314 * [misc]backup-simplify: Simplify PI into PI 1537025736.314 * [misc]taylor: Taking taylor expansion of k in n 1537025736.314 * [misc]backup-simplify: Simplify k into k 1537025736.314 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025736.315 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025736.315 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537025736.315 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.315 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537025736.315 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537025736.315 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537025736.315 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025736.315 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.315 * [misc]backup-simplify: Simplify 2 into 2 1537025736.316 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.316 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025736.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.316 * [misc]taylor: Taking taylor expansion of k in n 1537025736.316 * [misc]backup-simplify: Simplify k into k 1537025736.316 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.316 * [misc]backup-simplify: Simplify 2 into 2 1537025736.316 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025736.316 * [misc]taylor: Taking taylor expansion of n in n 1537025736.316 * [misc]backup-simplify: Simplify 0 into 0 1537025736.316 * [misc]backup-simplify: Simplify 1 into 1 1537025736.316 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.316 * [misc]backup-simplify: Simplify PI into PI 1537025736.316 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025736.316 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025736.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025736.317 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025736.317 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.318 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025736.318 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025736.318 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.318 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537025736.319 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537025736.319 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537025736.319 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537025736.319 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025736.319 * [misc]taylor: Taking taylor expansion of n in n 1537025736.319 * [misc]backup-simplify: Simplify 0 into 0 1537025736.319 * [misc]backup-simplify: Simplify 1 into 1 1537025736.319 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.319 * [misc]backup-simplify: Simplify PI into PI 1537025736.319 * [misc]taylor: Taking taylor expansion of k in n 1537025736.319 * [misc]backup-simplify: Simplify k into k 1537025736.319 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025736.320 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025736.320 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537025736.320 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.320 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537025736.321 * [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)))) 1537025736.321 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) 0) into 0 1537025736.321 * [misc]taylor: Taking taylor expansion of 0 in k 1537025736.321 * [misc]backup-simplify: Simplify 0 into 0 1537025736.321 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025736.322 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025736.323 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025736.325 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025736.325 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1537025736.325 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.325 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.326 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537025736.327 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025736.328 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into 0 1537025736.328 * [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))) 1537025736.329 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k))) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k)) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.329 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.329 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) k) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.329 * [misc]backup-simplify: Simplify 2 into 2 1537025736.329 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.329 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.329 * [misc]taylor: Taking taylor expansion of (* PI (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.329 * [misc]backup-simplify: Simplify PI into PI 1537025736.329 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.329 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.329 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of n in k 1537025736.329 * [misc]backup-simplify: Simplify n into n 1537025736.329 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.329 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.329 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.329 * [misc]backup-simplify: Simplify 2 into 2 1537025736.329 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.329 * [misc]backup-simplify: Simplify PI into PI 1537025736.330 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.330 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.330 * [misc]taylor: Taking taylor expansion of k in k 1537025736.330 * [misc]backup-simplify: Simplify 0 into 0 1537025736.330 * [misc]backup-simplify: Simplify 1 into 1 1537025736.330 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.331 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537025736.331 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1537025736.332 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537025736.332 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025736.335 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025736.336 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025736.336 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537025736.337 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537025736.337 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025736.337 * [misc]taylor: Taking taylor expansion of k in k 1537025736.337 * [misc]backup-simplify: Simplify 0 into 0 1537025736.337 * [misc]backup-simplify: Simplify 1 into 1 1537025736.338 * [misc]backup-simplify: Simplify (* PI 1) into PI 1537025736.338 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537025736.339 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) PI) 1) into (* (sqrt 2) PI) 1537025736.340 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) PI)) into (* +nan.0 (* (sqrt 2) PI)) 1537025736.341 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025736.342 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025736.342 * [misc]backup-simplify: Simplify 0 into 0 1537025736.343 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025736.343 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ PI k) (/ 0 k)))) into 0 1537025736.344 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow k 2))) 1537025736.344 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025736.346 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025736.348 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025736.353 * [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 1537025736.353 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1537025736.354 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.355 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.356 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1537025736.359 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025736.360 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025736.361 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))))) into 0 1537025736.364 * [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)))) 1537025736.364 * [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 1537025736.364 * [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 1537025736.364 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.364 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.364 * [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 1537025736.364 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.364 * [misc]backup-simplify: Simplify 2 into 2 1537025736.364 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.364 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.364 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k)))) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.364 * [misc]backup-simplify: Simplify PI into PI 1537025736.364 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.364 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.364 * [misc]taylor: Taking taylor expansion of (* (+ (log n) (log (* 2 PI))) k) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of n in k 1537025736.364 * [misc]backup-simplify: Simplify n into n 1537025736.364 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.364 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.364 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.364 * [misc]backup-simplify: Simplify 2 into 2 1537025736.364 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.364 * [misc]backup-simplify: Simplify PI into PI 1537025736.365 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.365 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.365 * [misc]taylor: Taking taylor expansion of k in k 1537025736.365 * [misc]backup-simplify: Simplify 0 into 0 1537025736.365 * [misc]backup-simplify: Simplify 1 into 1 1537025736.366 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025736.366 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537025736.366 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1537025736.367 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1537025736.367 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025736.369 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025736.369 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025736.370 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 1) (* 0 0)) into (+ (log n) (log (* 2 PI))) 1537025736.370 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log n) (log (* 2 PI)))) (* 0 0)) into (- (+ (* 1/2 (log n)) (* 1/2 (log (* 2 PI))))) 1537025736.370 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025736.370 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537025736.370 * [misc]taylor: Taking taylor expansion of k in k 1537025736.370 * [misc]backup-simplify: Simplify 0 into 0 1537025736.370 * [misc]backup-simplify: Simplify 1 into 1 1537025736.370 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025736.371 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537025736.371 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025736.371 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025736.372 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (pow PI 2)) 1) into (* (sqrt 2) (pow PI 2)) 1537025736.373 * [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))))) 1537025736.374 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025736.375 * [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))))) 1537025736.378 * [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)))))) 1537025736.378 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025736.382 * [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)))))) 1537025736.386 * [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))))))) 1537025736.390 * [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))))))) 1537025736.393 * [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))))))) 1537025736.783 * [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))))) 1537025736.784 * [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))))) 1537025736.787 * [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))))))) 1537025736.792 * [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))))))) 1537025736.796 * [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)))))))) 1537025736.799 * [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)))))))) 1537025736.801 * [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)))))))) 1537025736.808 * [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)))))))))))))) 1537025736.808 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 n)) PI)) (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2))))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1537025736.808 * [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 1537025736.808 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537025736.808 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537025736.808 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.808 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.808 * [misc]backup-simplify: Simplify 2 into 2 1537025736.809 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.809 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.809 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025736.809 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.809 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of k in k 1537025736.809 * [misc]backup-simplify: Simplify 0 into 0 1537025736.809 * [misc]backup-simplify: Simplify 1 into 1 1537025736.809 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025736.809 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.809 * [misc]backup-simplify: Simplify 2 into 2 1537025736.809 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025736.809 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.809 * [misc]backup-simplify: Simplify PI into PI 1537025736.809 * [misc]taylor: Taking taylor expansion of n in k 1537025736.809 * [misc]backup-simplify: Simplify n into n 1537025736.809 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025736.809 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025736.809 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025736.810 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025736.810 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025736.810 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025736.810 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537025736.810 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537025736.810 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537025736.810 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025736.810 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.810 * [misc]backup-simplify: Simplify PI into PI 1537025736.810 * [misc]taylor: Taking taylor expansion of k in k 1537025736.810 * [misc]backup-simplify: Simplify 0 into 0 1537025736.810 * [misc]backup-simplify: Simplify 1 into 1 1537025736.810 * [misc]taylor: Taking taylor expansion of n in k 1537025736.810 * [misc]backup-simplify: Simplify n into n 1537025736.811 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025736.811 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025736.811 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025736.811 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.811 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537025736.811 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537025736.811 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537025736.811 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025736.811 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.811 * [misc]backup-simplify: Simplify 2 into 2 1537025736.812 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.812 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.812 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025736.812 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.812 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of k in n 1537025736.812 * [misc]backup-simplify: Simplify k into k 1537025736.812 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025736.812 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.812 * [misc]backup-simplify: Simplify 2 into 2 1537025736.812 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025736.812 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.812 * [misc]backup-simplify: Simplify PI into PI 1537025736.812 * [misc]taylor: Taking taylor expansion of n in n 1537025736.812 * [misc]backup-simplify: Simplify 0 into 0 1537025736.812 * [misc]backup-simplify: Simplify 1 into 1 1537025736.812 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025736.812 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.813 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.813 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025736.813 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.813 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.814 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025736.814 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.814 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537025736.814 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537025736.814 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537025736.814 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.814 * [misc]backup-simplify: Simplify PI into PI 1537025736.814 * [misc]taylor: Taking taylor expansion of k in n 1537025736.814 * [misc]backup-simplify: Simplify k into k 1537025736.814 * [misc]taylor: Taking taylor expansion of n in n 1537025736.814 * [misc]backup-simplify: Simplify 0 into 0 1537025736.814 * [misc]backup-simplify: Simplify 1 into 1 1537025736.815 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537025736.815 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537025736.815 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.815 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537025736.815 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.815 * [misc]backup-simplify: Simplify 2 into 2 1537025736.815 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.815 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.815 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025736.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025736.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025736.815 * [misc]taylor: Taking taylor expansion of k in n 1537025736.815 * [misc]backup-simplify: Simplify k into k 1537025736.815 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025736.815 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025736.816 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025736.816 * [misc]taylor: Taking taylor expansion of 2 in n 1537025736.816 * [misc]backup-simplify: Simplify 2 into 2 1537025736.816 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025736.816 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.816 * [misc]backup-simplify: Simplify PI into PI 1537025736.816 * [misc]taylor: Taking taylor expansion of n in n 1537025736.816 * [misc]backup-simplify: Simplify 0 into 0 1537025736.816 * [misc]backup-simplify: Simplify 1 into 1 1537025736.816 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025736.816 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.816 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.816 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025736.816 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.817 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.817 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025736.818 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.818 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537025736.818 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537025736.818 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537025736.818 * [misc]taylor: Taking taylor expansion of PI in n 1537025736.818 * [misc]backup-simplify: Simplify PI into PI 1537025736.818 * [misc]taylor: Taking taylor expansion of k in n 1537025736.818 * [misc]backup-simplify: Simplify k into k 1537025736.818 * [misc]taylor: Taking taylor expansion of n in n 1537025736.818 * [misc]backup-simplify: Simplify 0 into 0 1537025736.818 * [misc]backup-simplify: Simplify 1 into 1 1537025736.818 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537025736.818 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537025736.818 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025736.819 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537025736.819 * [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)) 1537025736.820 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2)) 0) into 0 1537025736.820 * [misc]taylor: Taking taylor expansion of 0 in k 1537025736.820 * [misc]backup-simplify: Simplify 0 into 0 1537025736.820 * [misc]backup-simplify: Simplify 0 into 0 1537025736.820 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.821 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025736.821 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025736.823 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025736.823 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025736.823 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025736.823 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.824 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.824 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1537025736.825 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025736.826 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537025736.827 * [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))))) 1537025736.827 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))))) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k)))) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.827 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.827 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (* PI k))) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.827 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.827 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.827 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.827 * [misc]backup-simplify: Simplify 2 into 2 1537025736.827 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.827 * [misc]backup-simplify: Simplify PI into PI 1537025736.827 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.828 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.828 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.828 * [misc]taylor: Taking taylor expansion of n in k 1537025736.828 * [misc]backup-simplify: Simplify n into n 1537025736.828 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.828 * [misc]taylor: Taking taylor expansion of k in k 1537025736.828 * [misc]backup-simplify: Simplify 0 into 0 1537025736.828 * [misc]backup-simplify: Simplify 1 into 1 1537025736.828 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025736.828 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025736.829 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025736.829 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025736.830 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.830 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* PI k)) in k 1537025736.830 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.830 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.830 * [misc]backup-simplify: Simplify 2 into 2 1537025736.830 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.830 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.830 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025736.830 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.830 * [misc]backup-simplify: Simplify PI into PI 1537025736.830 * [misc]taylor: Taking taylor expansion of k in k 1537025736.830 * [misc]backup-simplify: Simplify 0 into 0 1537025736.830 * [misc]backup-simplify: Simplify 1 into 1 1537025736.830 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025736.830 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025736.831 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) into 0 1537025736.831 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025736.831 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.831 * [misc]backup-simplify: Simplify 0 into 0 1537025736.831 * [misc]backup-simplify: Simplify 0 into 0 1537025736.832 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 k)) into 0 1537025736.832 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)))) into 0 1537025736.832 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* PI k)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow PI 2) (pow k 2))) 1537025736.832 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.833 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.834 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025736.838 * [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 1537025736.838 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025736.838 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025736.839 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.839 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.840 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1537025736.841 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025736.842 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025736.843 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)))))) into 0 1537025736.844 * [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)))))) 1537025736.844 * [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 1537025736.844 * [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 1537025736.844 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.844 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.844 * [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 1537025736.844 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025736.844 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025736.844 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.844 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.845 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025736.845 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025736.845 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.845 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.845 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.845 * [misc]backup-simplify: Simplify 2 into 2 1537025736.845 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.845 * [misc]backup-simplify: Simplify PI into PI 1537025736.845 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.845 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.845 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.845 * [misc]taylor: Taking taylor expansion of n in k 1537025736.845 * [misc]backup-simplify: Simplify n into n 1537025736.845 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.846 * [misc]taylor: Taking taylor expansion of k in k 1537025736.846 * [misc]backup-simplify: Simplify 0 into 0 1537025736.846 * [misc]backup-simplify: Simplify 1 into 1 1537025736.846 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025736.846 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025736.846 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025736.847 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025736.847 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.847 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 2) (pow k 2))) in k 1537025736.847 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.847 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.847 * [misc]backup-simplify: Simplify 2 into 2 1537025736.847 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.848 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.848 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (pow k 2)) in k 1537025736.848 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537025736.848 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.848 * [misc]backup-simplify: Simplify PI into PI 1537025736.848 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1537025736.848 * [misc]taylor: Taking taylor expansion of k in k 1537025736.848 * [misc]backup-simplify: Simplify 0 into 0 1537025736.848 * [misc]backup-simplify: Simplify 1 into 1 1537025736.848 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025736.849 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537025736.850 * [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)) 1537025736.850 * [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)))) 1537025736.851 * [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)))) 1537025736.852 * [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)))) 1537025736.852 * [misc]backup-simplify: Simplify 0 into 0 1537025736.853 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 k))) into 0 1537025736.853 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.854 * [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))) 1537025736.854 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.855 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.856 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025736.862 * [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 1537025736.862 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.862 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.862 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025736.862 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1537025736.862 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.863 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.864 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1537025736.868 * [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 1537025736.868 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025736.869 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))))))) into 0 1537025736.873 * [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)))))) 1537025736.873 * [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 1537025736.873 * [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 1537025736.873 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.873 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.873 * [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 1537025736.873 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.873 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.873 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.873 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.873 * [misc]backup-simplify: Simplify 2 into 2 1537025736.873 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.873 * [misc]backup-simplify: Simplify PI into PI 1537025736.874 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.874 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.874 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.874 * [misc]taylor: Taking taylor expansion of n in k 1537025736.874 * [misc]backup-simplify: Simplify n into n 1537025736.874 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.874 * [misc]taylor: Taking taylor expansion of k in k 1537025736.874 * [misc]backup-simplify: Simplify 0 into 0 1537025736.874 * [misc]backup-simplify: Simplify 1 into 1 1537025736.874 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025736.875 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025736.876 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025736.876 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025736.877 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 3) (pow k 3))) in k 1537025736.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.877 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.877 * [misc]backup-simplify: Simplify 2 into 2 1537025736.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.878 * [misc]taylor: Taking taylor expansion of (* (pow PI 3) (pow k 3)) in k 1537025736.878 * [misc]taylor: Taking taylor expansion of (pow PI 3) in k 1537025736.878 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.878 * [misc]backup-simplify: Simplify PI into PI 1537025736.878 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1537025736.878 * [misc]taylor: Taking taylor expansion of k in k 1537025736.878 * [misc]backup-simplify: Simplify 0 into 0 1537025736.878 * [misc]backup-simplify: Simplify 1 into 1 1537025736.885 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537025736.886 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025736.887 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537025736.890 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1537025736.891 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) (* 0 0))) into 0 1537025736.891 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.891 * [misc]backup-simplify: Simplify 0 into 0 1537025736.891 * [misc]backup-simplify: Simplify 0 into 0 1537025736.892 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1537025736.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.897 * [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))) 1537025736.897 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.899 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.902 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025736.918 * [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 1537025736.918 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.918 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.918 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.919 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025736.919 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))) into 0 1537025736.920 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.920 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.922 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))))) into 0 1537025736.927 * [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 1537025736.929 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025736.930 * [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 1537025736.934 * [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)))))) 1537025736.934 * [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 1537025736.934 * [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 1537025736.934 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.934 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.934 * [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 1537025736.935 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.935 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.935 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.935 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.935 * [misc]backup-simplify: Simplify 2 into 2 1537025736.935 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.935 * [misc]backup-simplify: Simplify PI into PI 1537025736.935 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.936 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.936 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.936 * [misc]taylor: Taking taylor expansion of n in k 1537025736.936 * [misc]backup-simplify: Simplify n into n 1537025736.936 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.936 * [misc]taylor: Taking taylor expansion of k in k 1537025736.936 * [misc]backup-simplify: Simplify 0 into 0 1537025736.936 * [misc]backup-simplify: Simplify 1 into 1 1537025736.936 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025736.937 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025736.937 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025736.938 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025736.939 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.939 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 4) (pow k 4))) in k 1537025736.939 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.939 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.939 * [misc]backup-simplify: Simplify 2 into 2 1537025736.939 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.939 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.939 * [misc]taylor: Taking taylor expansion of (* (pow PI 4) (pow k 4)) in k 1537025736.939 * [misc]taylor: Taking taylor expansion of (pow PI 4) in k 1537025736.939 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.939 * [misc]backup-simplify: Simplify PI into PI 1537025736.939 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1537025736.939 * [misc]taylor: Taking taylor expansion of k in k 1537025736.939 * [misc]backup-simplify: Simplify 0 into 0 1537025736.939 * [misc]backup-simplify: Simplify 1 into 1 1537025736.940 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025736.940 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025736.941 * [misc]backup-simplify: Simplify (* (pow PI 2) 1) into (pow PI 2) 1537025736.942 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025736.944 * [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))) 1537025736.945 * [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)))) 1537025736.947 * [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))))) 1537025736.950 * [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))))) 1537025736.951 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025736.951 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025736.953 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025736.955 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0)))) into 0 1537025736.957 * [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 1537025736.957 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.957 * [misc]backup-simplify: Simplify 0 into 0 1537025736.957 * [misc]backup-simplify: Simplify 0 into 0 1537025736.958 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1537025736.959 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.961 * [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))) 1537025736.961 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025736.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025736.965 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025736.978 * [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 1537025736.978 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.978 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.978 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.979 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.979 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025736.979 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))))) into 0 1537025736.979 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.980 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025736.981 * [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 1537025736.986 * [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 1537025736.986 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025736.987 * [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 1537025736.990 * [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)))))) 1537025736.990 * [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 1537025736.990 * [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 1537025736.990 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025736.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025736.990 * [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 1537025736.990 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025736.990 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025736.990 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025736.990 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.990 * [misc]backup-simplify: Simplify 2 into 2 1537025736.990 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.990 * [misc]backup-simplify: Simplify PI into PI 1537025736.990 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025736.991 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025736.991 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025736.991 * [misc]taylor: Taking taylor expansion of n in k 1537025736.991 * [misc]backup-simplify: Simplify n into n 1537025736.991 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025736.991 * [misc]taylor: Taking taylor expansion of k in k 1537025736.991 * [misc]backup-simplify: Simplify 0 into 0 1537025736.991 * [misc]backup-simplify: Simplify 1 into 1 1537025736.991 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025736.991 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025736.992 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025736.992 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025736.993 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025736.993 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 5) (pow k 5))) in k 1537025736.993 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025736.993 * [misc]taylor: Taking taylor expansion of 2 in k 1537025736.993 * [misc]backup-simplify: Simplify 2 into 2 1537025736.993 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025736.993 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025736.993 * [misc]taylor: Taking taylor expansion of (* (pow PI 5) (pow k 5)) in k 1537025736.993 * [misc]taylor: Taking taylor expansion of (pow PI 5) in k 1537025736.993 * [misc]taylor: Taking taylor expansion of PI in k 1537025736.993 * [misc]backup-simplify: Simplify PI into PI 1537025736.993 * [misc]taylor: Taking taylor expansion of (pow k 5) in k 1537025736.993 * [misc]taylor: Taking taylor expansion of k in k 1537025736.993 * [misc]backup-simplify: Simplify 0 into 0 1537025736.993 * [misc]backup-simplify: Simplify 1 into 1 1537025736.994 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025736.994 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025736.995 * [misc]backup-simplify: Simplify (+ (* (pow PI 2) 0) (* 0 1)) into 0 1537025736.996 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537025736.998 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537025736.999 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1537025736.999 * [misc]backup-simplify: Simplify (- 0) into 0 1537025736.999 * [misc]backup-simplify: Simplify 0 into 0 1537025737.000 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537025737.001 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025737.002 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025737.004 * [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 1537025737.005 * [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 1537025737.005 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.005 * [misc]backup-simplify: Simplify 0 into 0 1537025737.005 * [misc]backup-simplify: Simplify 0 into 0 1537025737.006 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))))) into 0 1537025737.007 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* PI k) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.010 * [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))) 1537025737.010 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025737.011 * [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 1537025737.013 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.034 * [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 1537025737.034 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.034 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.035 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.035 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.035 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.035 * [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 1537025737.035 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k)))))))) into 0 1537025737.036 * [misc]backup-simplify: Simplify (- 0) into 0 1537025737.036 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025737.037 * [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 1537025737.046 * [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 1537025737.047 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025737.048 * [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 1537025737.051 * [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)))))) 1537025737.051 * [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 1537025737.051 * [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 1537025737.051 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025737.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025737.051 * [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 1537025737.051 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) in k 1537025737.051 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) in k 1537025737.052 * [misc]taylor: Taking taylor expansion of -1/2 in k 1537025737.052 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025737.052 * [misc]taylor: Taking taylor expansion of (/ (- (log (* 2 PI)) (log n)) k) in k 1537025737.052 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1537025737.052 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1537025737.052 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1537025737.052 * [misc]taylor: Taking taylor expansion of 2 in k 1537025737.052 * [misc]backup-simplify: Simplify 2 into 2 1537025737.052 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.052 * [misc]backup-simplify: Simplify PI into PI 1537025737.052 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.053 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025737.053 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025737.053 * [misc]taylor: Taking taylor expansion of n in k 1537025737.053 * [misc]backup-simplify: Simplify n into n 1537025737.053 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025737.053 * [misc]taylor: Taking taylor expansion of k in k 1537025737.053 * [misc]backup-simplify: Simplify 0 into 0 1537025737.053 * [misc]backup-simplify: Simplify 1 into 1 1537025737.053 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025737.054 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1537025737.054 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) 1) into (- (log (* 2 PI)) (log n)) 1537025737.055 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1537025737.056 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025737.056 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow PI 6) (pow k 6))) in k 1537025737.056 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025737.056 * [misc]taylor: Taking taylor expansion of 2 in k 1537025737.056 * [misc]backup-simplify: Simplify 2 into 2 1537025737.056 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025737.056 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025737.056 * [misc]taylor: Taking taylor expansion of (* (pow PI 6) (pow k 6)) in k 1537025737.056 * [misc]taylor: Taking taylor expansion of (pow PI 6) in k 1537025737.057 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.057 * [misc]backup-simplify: Simplify PI into PI 1537025737.057 * [misc]taylor: Taking taylor expansion of (pow k 6) in k 1537025737.057 * [misc]taylor: Taking taylor expansion of k in k 1537025737.057 * [misc]backup-simplify: Simplify 0 into 0 1537025737.057 * [misc]backup-simplify: Simplify 1 into 1 1537025737.057 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025737.058 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537025737.058 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025737.059 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025737.059 * [misc]backup-simplify: Simplify (* (pow PI 3) 1) into (pow PI 3) 1537025737.060 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537025737.062 * [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))) 1537025737.063 * [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)))) 1537025737.065 * [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))))) 1537025737.067 * [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))))) 1537025737.076 * [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))))))) 1537025737.077 * [misc]backup-simplify: Simplify (/ (sqrt (* (* 2 (/ 1 (- n))) PI)) (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2))))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1537025737.077 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (n k) around 0 1537025737.077 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537025737.077 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537025737.077 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537025737.077 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025737.077 * [misc]taylor: Taking taylor expansion of -2 in k 1537025737.077 * [misc]backup-simplify: Simplify -2 into -2 1537025737.077 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025737.077 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.077 * [misc]backup-simplify: Simplify PI into PI 1537025737.077 * [misc]taylor: Taking taylor expansion of n in k 1537025737.077 * [misc]backup-simplify: Simplify n into n 1537025737.077 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025737.077 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025737.078 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537025737.078 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025737.078 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537025737.079 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537025737.079 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025737.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025737.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of k in k 1537025737.079 * [misc]backup-simplify: Simplify 0 into 0 1537025737.079 * [misc]backup-simplify: Simplify 1 into 1 1537025737.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025737.079 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of -2 in k 1537025737.079 * [misc]backup-simplify: Simplify -2 into -2 1537025737.079 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025737.079 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.079 * [misc]backup-simplify: Simplify PI into PI 1537025737.079 * [misc]taylor: Taking taylor expansion of n in k 1537025737.079 * [misc]backup-simplify: Simplify n into n 1537025737.079 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025737.080 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025737.080 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025737.080 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025737.080 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025737.080 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537025737.080 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025737.080 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025737.081 * [misc]taylor: Taking taylor expansion of -1 in k 1537025737.081 * [misc]backup-simplify: Simplify -1 into -1 1537025737.081 * [misc]taylor: Taking taylor expansion of k in k 1537025737.081 * [misc]backup-simplify: Simplify 0 into 0 1537025737.081 * [misc]backup-simplify: Simplify 1 into 1 1537025737.081 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025737.081 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.081 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025737.082 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537025737.082 * [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))))) 1537025737.082 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537025737.083 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537025737.083 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025737.083 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.083 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.083 * [misc]backup-simplify: Simplify -2 into -2 1537025737.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.083 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.083 * [misc]backup-simplify: Simplify PI into PI 1537025737.083 * [misc]taylor: Taking taylor expansion of n in n 1537025737.083 * [misc]backup-simplify: Simplify 0 into 0 1537025737.083 * [misc]backup-simplify: Simplify 1 into 1 1537025737.083 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.084 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.084 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.084 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.084 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025737.085 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025737.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of k in n 1537025737.085 * [misc]backup-simplify: Simplify k into k 1537025737.085 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025737.085 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.085 * [misc]backup-simplify: Simplify -2 into -2 1537025737.085 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.085 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.085 * [misc]backup-simplify: Simplify PI into PI 1537025737.085 * [misc]taylor: Taking taylor expansion of n in n 1537025737.085 * [misc]backup-simplify: Simplify 0 into 0 1537025737.085 * [misc]backup-simplify: Simplify 1 into 1 1537025737.085 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.086 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.086 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025737.086 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025737.087 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025737.088 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025737.089 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025737.089 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025737.089 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025737.089 * [misc]taylor: Taking taylor expansion of -1 in n 1537025737.089 * [misc]backup-simplify: Simplify -1 into -1 1537025737.089 * [misc]taylor: Taking taylor expansion of k in n 1537025737.089 * [misc]backup-simplify: Simplify k into k 1537025737.089 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025737.089 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025737.089 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025737.089 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025737.090 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025737.091 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.094 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.097 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025737.097 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025737.098 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025737.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025737.099 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025737.101 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025737.102 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025737.103 * [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)))) 1537025737.103 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537025737.103 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537025737.103 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025737.103 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.103 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.103 * [misc]backup-simplify: Simplify -2 into -2 1537025737.103 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.103 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.104 * [misc]backup-simplify: Simplify PI into PI 1537025737.104 * [misc]taylor: Taking taylor expansion of n in n 1537025737.104 * [misc]backup-simplify: Simplify 0 into 0 1537025737.104 * [misc]backup-simplify: Simplify 1 into 1 1537025737.104 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.104 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.105 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.105 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025737.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025737.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of k in n 1537025737.105 * [misc]backup-simplify: Simplify k into k 1537025737.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025737.105 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.105 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.106 * [misc]backup-simplify: Simplify -2 into -2 1537025737.106 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.106 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.106 * [misc]backup-simplify: Simplify PI into PI 1537025737.106 * [misc]taylor: Taking taylor expansion of n in n 1537025737.106 * [misc]backup-simplify: Simplify 0 into 0 1537025737.106 * [misc]backup-simplify: Simplify 1 into 1 1537025737.106 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.106 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.107 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025737.107 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025737.108 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025737.108 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025737.109 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025737.109 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025737.109 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025737.109 * [misc]taylor: Taking taylor expansion of -1 in n 1537025737.109 * [misc]backup-simplify: Simplify -1 into -1 1537025737.109 * [misc]taylor: Taking taylor expansion of k in n 1537025737.109 * [misc]backup-simplify: Simplify k into k 1537025737.109 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025737.109 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025737.109 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025737.110 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025737.110 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025737.111 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.112 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.115 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025737.115 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025737.116 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025737.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025737.117 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025737.119 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025737.120 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025737.121 * [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)))) 1537025737.121 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k)))) in k 1537025737.121 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025737.121 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025737.122 * [misc]taylor: Taking taylor expansion of (/ (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.122 * [misc]backup-simplify: Simplify PI into PI 1537025737.122 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025737.122 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025737.122 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537025737.122 * [misc]taylor: Taking taylor expansion of -2 in k 1537025737.122 * [misc]backup-simplify: Simplify -2 into -2 1537025737.122 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.122 * [misc]backup-simplify: Simplify PI into PI 1537025737.122 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.123 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025737.123 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025737.123 * [misc]taylor: Taking taylor expansion of n in k 1537025737.123 * [misc]backup-simplify: Simplify n into n 1537025737.123 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025737.123 * [misc]taylor: Taking taylor expansion of k in k 1537025737.123 * [misc]backup-simplify: Simplify 0 into 0 1537025737.123 * [misc]backup-simplify: Simplify 1 into 1 1537025737.123 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025737.124 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537025737.124 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537025737.125 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537025737.126 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025737.126 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025737.126 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025737.126 * [misc]taylor: Taking taylor expansion of -1 in k 1537025737.126 * [misc]backup-simplify: Simplify -1 into -1 1537025737.126 * [misc]taylor: Taking taylor expansion of k in k 1537025737.126 * [misc]backup-simplify: Simplify 0 into 0 1537025737.126 * [misc]backup-simplify: Simplify 1 into 1 1537025737.126 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025737.126 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.127 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025737.127 * [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)))) 1537025737.128 * [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))))) 1537025737.129 * [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))))) 1537025737.130 * [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))))) 1537025737.132 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.133 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.137 * [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 1537025737.137 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025737.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1537025737.138 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025737.139 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1537025737.140 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025737.141 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.141 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.143 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025737.144 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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)))))) 1537025737.146 * [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))))) 1537025737.146 * [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 1537025737.146 * [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 1537025737.146 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1537025737.146 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025737.146 * [misc]taylor: Taking taylor expansion of (/ (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) (sqrt (/ -1 k))) in k 1537025737.146 * [misc]taylor: Taking taylor expansion of (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) in k 1537025737.146 * [misc]taylor: Taking taylor expansion of (pow PI 2) in k 1537025737.146 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.147 * [misc]backup-simplify: Simplify PI into PI 1537025737.147 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025737.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025737.147 * [misc]taylor: Taking taylor expansion of (/ (- (log (* -2 PI)) (log n)) k) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of -2 in k 1537025737.147 * [misc]backup-simplify: Simplify -2 into -2 1537025737.147 * [misc]taylor: Taking taylor expansion of PI in k 1537025737.147 * [misc]backup-simplify: Simplify PI into PI 1537025737.147 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.147 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025737.147 * [misc]taylor: Taking taylor expansion of (log n) in k 1537025737.147 * [misc]taylor: Taking taylor expansion of n in k 1537025737.147 * [misc]backup-simplify: Simplify n into n 1537025737.147 * [misc]backup-simplify: Simplify (log n) into (log n) 1537025737.147 * [misc]taylor: Taking taylor expansion of k in k 1537025737.148 * [misc]backup-simplify: Simplify 0 into 0 1537025737.148 * [misc]backup-simplify: Simplify 1 into 1 1537025737.148 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1537025737.148 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1537025737.148 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) 1) into (- (log (* -2 PI)) (log n)) 1537025737.149 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1537025737.149 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025737.149 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025737.149 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025737.149 * [misc]taylor: Taking taylor expansion of -1 in k 1537025737.149 * [misc]backup-simplify: Simplify -1 into -1 1537025737.149 * [misc]taylor: Taking taylor expansion of k in k 1537025737.149 * [misc]backup-simplify: Simplify 0 into 0 1537025737.149 * [misc]backup-simplify: Simplify 1 into 1 1537025737.150 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025737.150 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.150 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025737.150 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025737.151 * [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)))) 1537025737.152 * [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))))) 1537025737.152 * [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))))) 1537025737.154 * [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)))))) 1537025737.155 * [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)))))) 1537025737.156 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) into 0 1537025737.156 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025737.156 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025737.157 * [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)))))) 1537025737.158 * [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)))))) 1537025737.159 * [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)))))) 1537025737.162 * [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))))))) 1537025737.162 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1537025737.162 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537025737.162 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025737.162 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025737.162 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.162 * [misc]backup-simplify: Simplify 2 into 2 1537025737.162 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.162 * [misc]taylor: Taking taylor expansion of n in n 1537025737.162 * [misc]backup-simplify: Simplify 0 into 0 1537025737.162 * [misc]backup-simplify: Simplify 1 into 1 1537025737.162 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.162 * [misc]backup-simplify: Simplify PI into PI 1537025737.162 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025737.162 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.162 * [misc]backup-simplify: Simplify 2 into 2 1537025737.162 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.162 * [misc]taylor: Taking taylor expansion of n in n 1537025737.162 * [misc]backup-simplify: Simplify 0 into 0 1537025737.162 * [misc]backup-simplify: Simplify 1 into 1 1537025737.162 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.163 * [misc]backup-simplify: Simplify PI into PI 1537025737.163 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025737.163 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025737.163 * [misc]backup-simplify: Simplify 0 into 0 1537025737.164 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025737.164 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025737.164 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.165 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025737.166 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025737.166 * [misc]backup-simplify: Simplify 0 into 0 1537025737.167 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025737.168 * [misc]backup-simplify: Simplify 0 into 0 1537025737.169 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.170 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025737.170 * [misc]backup-simplify: Simplify 0 into 0 1537025737.172 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.175 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025737.175 * [misc]backup-simplify: Simplify 0 into 0 1537025737.179 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.182 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025737.182 * [misc]backup-simplify: Simplify 0 into 0 1537025737.187 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025737.191 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025737.191 * [misc]backup-simplify: Simplify 0 into 0 1537025737.191 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025737.191 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537025737.191 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025737.191 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025737.191 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.191 * [misc]backup-simplify: Simplify 2 into 2 1537025737.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.192 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.192 * [misc]backup-simplify: Simplify PI into PI 1537025737.192 * [misc]taylor: Taking taylor expansion of n in n 1537025737.192 * [misc]backup-simplify: Simplify 0 into 0 1537025737.192 * [misc]backup-simplify: Simplify 1 into 1 1537025737.192 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.192 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025737.192 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.192 * [misc]backup-simplify: Simplify 2 into 2 1537025737.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.192 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.192 * [misc]backup-simplify: Simplify PI into PI 1537025737.192 * [misc]taylor: Taking taylor expansion of n in n 1537025737.192 * [misc]backup-simplify: Simplify 0 into 0 1537025737.192 * [misc]backup-simplify: Simplify 1 into 1 1537025737.192 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.193 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.194 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025737.194 * [misc]backup-simplify: Simplify 0 into 0 1537025737.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.195 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.195 * [misc]backup-simplify: Simplify 0 into 0 1537025737.196 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.197 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.197 * [misc]backup-simplify: Simplify 0 into 0 1537025737.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.200 * [misc]backup-simplify: Simplify 0 into 0 1537025737.201 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.204 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.204 * [misc]backup-simplify: Simplify 0 into 0 1537025737.206 * [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 1537025737.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.208 * [misc]backup-simplify: Simplify 0 into 0 1537025737.208 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025737.208 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537025737.208 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025737.208 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.208 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.208 * [misc]backup-simplify: Simplify -2 into -2 1537025737.208 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.208 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.208 * [misc]backup-simplify: Simplify PI into PI 1537025737.208 * [misc]taylor: Taking taylor expansion of n in n 1537025737.208 * [misc]backup-simplify: Simplify 0 into 0 1537025737.208 * [misc]backup-simplify: Simplify 1 into 1 1537025737.208 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.208 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.209 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.209 * [misc]backup-simplify: Simplify -2 into -2 1537025737.209 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.209 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.209 * [misc]backup-simplify: Simplify PI into PI 1537025737.209 * [misc]taylor: Taking taylor expansion of n in n 1537025737.209 * [misc]backup-simplify: Simplify 0 into 0 1537025737.209 * [misc]backup-simplify: Simplify 1 into 1 1537025737.209 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.209 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.209 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.210 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.210 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.210 * [misc]backup-simplify: Simplify 0 into 0 1537025737.211 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.212 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.212 * [misc]backup-simplify: Simplify 0 into 0 1537025737.213 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.214 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.214 * [misc]backup-simplify: Simplify 0 into 0 1537025737.215 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.217 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.217 * [misc]backup-simplify: Simplify 0 into 0 1537025737.218 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.220 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.220 * [misc]backup-simplify: Simplify 0 into 0 1537025737.221 * [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 1537025737.223 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.223 * [misc]backup-simplify: Simplify 0 into 0 1537025737.224 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025737.224 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 1) 1537025737.224 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1537025737.224 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025737.224 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025737.224 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.224 * [misc]backup-simplify: Simplify 2 into 2 1537025737.224 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.224 * [misc]taylor: Taking taylor expansion of n in n 1537025737.224 * [misc]backup-simplify: Simplify 0 into 0 1537025737.224 * [misc]backup-simplify: Simplify 1 into 1 1537025737.225 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.225 * [misc]backup-simplify: Simplify PI into PI 1537025737.225 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025737.225 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.225 * [misc]backup-simplify: Simplify 2 into 2 1537025737.225 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.225 * [misc]taylor: Taking taylor expansion of n in n 1537025737.225 * [misc]backup-simplify: Simplify 0 into 0 1537025737.225 * [misc]backup-simplify: Simplify 1 into 1 1537025737.225 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.225 * [misc]backup-simplify: Simplify PI into PI 1537025737.225 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025737.225 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025737.225 * [misc]backup-simplify: Simplify 0 into 0 1537025737.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025737.227 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025737.227 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.228 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025737.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025737.230 * [misc]backup-simplify: Simplify 0 into 0 1537025737.232 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.233 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025737.233 * [misc]backup-simplify: Simplify 0 into 0 1537025737.236 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.238 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025737.238 * [misc]backup-simplify: Simplify 0 into 0 1537025737.241 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.244 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025737.244 * [misc]backup-simplify: Simplify 0 into 0 1537025737.247 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.251 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025737.251 * [misc]backup-simplify: Simplify 0 into 0 1537025737.255 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025737.260 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025737.260 * [misc]backup-simplify: Simplify 0 into 0 1537025737.260 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025737.260 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1537025737.260 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025737.261 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025737.261 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.261 * [misc]backup-simplify: Simplify 2 into 2 1537025737.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.261 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.261 * [misc]backup-simplify: Simplify PI into PI 1537025737.261 * [misc]taylor: Taking taylor expansion of n in n 1537025737.261 * [misc]backup-simplify: Simplify 0 into 0 1537025737.261 * [misc]backup-simplify: Simplify 1 into 1 1537025737.261 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.261 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025737.261 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.261 * [misc]backup-simplify: Simplify 2 into 2 1537025737.261 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.261 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.261 * [misc]backup-simplify: Simplify PI into PI 1537025737.261 * [misc]taylor: Taking taylor expansion of n in n 1537025737.261 * [misc]backup-simplify: Simplify 0 into 0 1537025737.261 * [misc]backup-simplify: Simplify 1 into 1 1537025737.262 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.262 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.262 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025737.264 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.265 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025737.265 * [misc]backup-simplify: Simplify 0 into 0 1537025737.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.268 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.268 * [misc]backup-simplify: Simplify 0 into 0 1537025737.269 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.271 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.271 * [misc]backup-simplify: Simplify 0 into 0 1537025737.273 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.275 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.275 * [misc]backup-simplify: Simplify 0 into 0 1537025737.278 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.281 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.281 * [misc]backup-simplify: Simplify 0 into 0 1537025737.284 * [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 1537025737.287 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.287 * [misc]backup-simplify: Simplify 0 into 0 1537025737.288 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025737.288 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1537025737.288 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025737.288 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.288 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.288 * [misc]backup-simplify: Simplify -2 into -2 1537025737.288 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.288 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.288 * [misc]backup-simplify: Simplify PI into PI 1537025737.288 * [misc]taylor: Taking taylor expansion of n in n 1537025737.288 * [misc]backup-simplify: Simplify 0 into 0 1537025737.288 * [misc]backup-simplify: Simplify 1 into 1 1537025737.289 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.289 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.289 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.289 * [misc]backup-simplify: Simplify -2 into -2 1537025737.289 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.289 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.289 * [misc]backup-simplify: Simplify PI into PI 1537025737.289 * [misc]taylor: Taking taylor expansion of n in n 1537025737.289 * [misc]backup-simplify: Simplify 0 into 0 1537025737.289 * [misc]backup-simplify: Simplify 1 into 1 1537025737.290 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.290 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.290 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.291 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.292 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.292 * [misc]backup-simplify: Simplify 0 into 0 1537025737.294 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.295 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.295 * [misc]backup-simplify: Simplify 0 into 0 1537025737.297 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.298 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.298 * [misc]backup-simplify: Simplify 0 into 0 1537025737.300 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.303 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025737.303 * [misc]backup-simplify: Simplify 0 into 0 1537025737.305 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.308 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025737.308 * [misc]backup-simplify: Simplify 0 into 0 1537025737.311 * [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 1537025737.314 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025737.315 * [misc]backup-simplify: Simplify 0 into 0 1537025737.315 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025737.315 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1537025737.316 * [misc]backup-simplify: Simplify (sqrt (* (* 2 n) PI)) into (* (sqrt 2) (sqrt (* n PI))) 1537025737.316 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in (n) around 0 1537025737.316 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1537025737.316 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025737.316 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.316 * [misc]backup-simplify: Simplify 2 into 2 1537025737.316 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025737.316 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025737.316 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1537025737.316 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.316 * [misc]taylor: Taking taylor expansion of n in n 1537025737.316 * [misc]backup-simplify: Simplify 0 into 0 1537025737.316 * [misc]backup-simplify: Simplify 1 into 1 1537025737.316 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.316 * [misc]backup-simplify: Simplify PI into PI 1537025737.317 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025737.317 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025737.317 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.318 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.318 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1537025737.318 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025737.318 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.318 * [misc]backup-simplify: Simplify 2 into 2 1537025737.318 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025737.319 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025737.319 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1537025737.319 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025737.319 * [misc]taylor: Taking taylor expansion of n in n 1537025737.319 * [misc]backup-simplify: Simplify 0 into 0 1537025737.319 * [misc]backup-simplify: Simplify 1 into 1 1537025737.319 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.319 * [misc]backup-simplify: Simplify PI into PI 1537025737.319 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025737.320 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025737.320 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.320 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.321 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025737.321 * [misc]backup-simplify: Simplify 0 into 0 1537025737.322 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025737.323 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025737.324 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025737.327 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025737.328 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025737.331 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537025737.333 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537025737.334 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025737.339 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537025737.340 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025737.344 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537025737.346 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537025737.353 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow n 3)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow n 2)) (* (- (* +nan.0 (* (sqrt 2) PI))) n))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1537025737.353 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 n)) PI)) into (* (sqrt 2) (sqrt (/ PI n))) 1537025737.353 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in (n) around 0 1537025737.353 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1537025737.353 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025737.353 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.353 * [misc]backup-simplify: Simplify 2 into 2 1537025737.354 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025737.354 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025737.354 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1537025737.354 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.354 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.354 * [misc]backup-simplify: Simplify PI into PI 1537025737.354 * [misc]taylor: Taking taylor expansion of n in n 1537025737.354 * [misc]backup-simplify: Simplify 0 into 0 1537025737.354 * [misc]backup-simplify: Simplify 1 into 1 1537025737.355 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.355 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.355 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.355 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ PI n))) in n 1537025737.355 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025737.355 * [misc]taylor: Taking taylor expansion of 2 in n 1537025737.355 * [misc]backup-simplify: Simplify 2 into 2 1537025737.356 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025737.356 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025737.356 * [misc]taylor: Taking taylor expansion of (sqrt (/ PI n)) in n 1537025737.356 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.356 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.356 * [misc]backup-simplify: Simplify PI into PI 1537025737.356 * [misc]taylor: Taking taylor expansion of n in n 1537025737.356 * [misc]backup-simplify: Simplify 0 into 0 1537025737.356 * [misc]backup-simplify: Simplify 1 into 1 1537025737.356 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.357 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.357 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.357 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025737.357 * [misc]backup-simplify: Simplify 0 into 0 1537025737.359 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025737.360 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025737.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.363 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025737.365 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025737.368 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537025737.370 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1537025737.372 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.376 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537025737.376 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025737.381 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow PI 3))) (+ (* 0 (* +nan.0 (pow PI 2))) (+ (* 0 (* +nan.0 PI)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537025737.383 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) 1537025737.390 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 3)))) (pow (/ 1 n) 2)) (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (/ 1 n)) (- (* +nan.0 (* (sqrt 2) PI))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1537025737.390 * [misc]backup-simplify: Simplify (sqrt (* (* 2 (/ 1 (- n))) PI)) into (sqrt (* -2 (/ PI n))) 1537025737.390 * [misc]approximate: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in (n) around 0 1537025737.390 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025737.390 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.390 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.390 * [misc]backup-simplify: Simplify -2 into -2 1537025737.390 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.390 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.390 * [misc]backup-simplify: Simplify PI into PI 1537025737.390 * [misc]taylor: Taking taylor expansion of n in n 1537025737.390 * [misc]backup-simplify: Simplify 0 into 0 1537025737.390 * [misc]backup-simplify: Simplify 1 into 1 1537025737.391 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.391 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.391 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.392 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.392 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025737.392 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025737.392 * [misc]taylor: Taking taylor expansion of -2 in n 1537025737.392 * [misc]backup-simplify: Simplify -2 into -2 1537025737.392 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025737.392 * [misc]taylor: Taking taylor expansion of PI in n 1537025737.392 * [misc]backup-simplify: Simplify PI into PI 1537025737.392 * [misc]taylor: Taking taylor expansion of n in n 1537025737.392 * [misc]backup-simplify: Simplify 0 into 0 1537025737.392 * [misc]backup-simplify: Simplify 1 into 1 1537025737.393 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025737.393 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025737.393 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025737.394 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025737.394 * [misc]backup-simplify: Simplify 0 into 0 1537025737.394 * [misc]backup-simplify: Simplify (* +nan.0 PI) into (* +nan.0 PI) 1537025737.395 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025737.396 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025737.398 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025737.399 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 2)) into (* +nan.0 (pow PI 2)) 1537025737.400 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025737.401 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025737.405 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 PI) (* +nan.0 (pow PI 2)))))) (* 2 0)) into (* +nan.0 (pow PI 3)) 1537025737.406 * [misc]backup-simplify: Simplify (* +nan.0 (pow PI 3)) into (* +nan.0 (pow PI 3)) 1537025737.409 * [misc]backup-simplify: Simplify (+ (* (* +nan.0 (pow PI 3)) (pow (/ 1 (- n)) 2)) (+ (* (* +nan.0 (pow PI 2)) (/ 1 (- n))) (* +nan.0 PI))) into (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1537025737.409 * * * [misc]progress: simplifying candidates 1537025737.409 * * * * [misc]progress: [ 1 / 150 ] simplifiying candidate # 1537025737.409 * * * * [misc]progress: [ 2 / 150 ] simplifiying candidate # 1537025737.409 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1537025737.412 * * [misc]simplify: iters left: 6 (18 enodes) 1537025737.421 * * [misc]simplify: iters left: 5 (37 enodes) 1537025737.438 * * [misc]simplify: iters left: 4 (74 enodes) 1537025737.466 * * [misc]simplify: iters left: 3 (196 enodes) 1537025737.587 * * [misc]simplify: iters left: 2 (455 enodes) 1537025737.987 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))) 1537025737.987 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))))) 1537025737.987 * * * * [misc]progress: [ 3 / 150 ] simplifiying candidate # 1537025737.987 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2))))) 1537025737.989 * * [misc]simplify: iters left: 6 (18 enodes) 1537025737.994 * * [misc]simplify: iters left: 5 (37 enodes) 1537025738.004 * * [misc]simplify: iters left: 4 (74 enodes) 1537025738.032 * * [misc]simplify: iters left: 3 (196 enodes) 1537025738.160 * * [misc]simplify: iters left: 2 (455 enodes) 1537025738.607 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))) 1537025738.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (/ (log PI) (/ 2 k)) (log (sqrt k))) (* (log (* 2 n)) (/ k 2)))))) 1537025738.607 * * * * [misc]progress: [ 4 / 150 ] simplifiying candidate # 1537025738.607 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025738.609 * * [misc]simplify: iters left: 6 (18 enodes) 1537025738.618 * * [misc]simplify: iters left: 5 (33 enodes) 1537025738.634 * * [misc]simplify: iters left: 4 (64 enodes) 1537025738.672 * * [misc]simplify: iters left: 3 (164 enodes) 1537025738.892 * [exit]simplify: Simplified to (- (log (sqrt (* 2 (* PI n)))) (+ (* (/ k 2) (log (* 2 n))) (+ (* (log PI) (/ k 2)) (log (sqrt k))))) 1537025738.892 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* 2 (* PI n)))) (+ (* (/ k 2) (log (* 2 n))) (+ (* (log PI) (/ k 2)) (log (sqrt k))))))) 1537025738.893 * * * * [misc]progress: [ 5 / 150 ] simplifiying candidate # 1537025738.893 * [enter]simplify: Simplifying (- (log (sqrt (* (* 2 n) PI))) (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025738.895 * * [misc]simplify: iters left: 6 (17 enodes) 1537025738.901 * * [misc]simplify: iters left: 5 (29 enodes) 1537025738.907 * * [misc]simplify: iters left: 4 (40 enodes) 1537025738.917 * * [misc]simplify: iters left: 3 (70 enodes) 1537025738.953 * * [misc]simplify: iters left: 2 (199 enodes) 1537025739.163 * [exit]simplify: Simplified to (- (log (sqrt (* (* 2 n) PI))) (+ (+ (log (sqrt k)) (* (/ k 2) (log PI))) (* (/ k 2) (log (* 2 n))))) 1537025739.163 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (log (sqrt (* (* 2 n) PI))) (+ (+ (log (sqrt k)) (* (/ k 2) (log PI))) (* (/ k 2) (log (* 2 n))))))) 1537025739.163 * * * * [misc]progress: [ 6 / 150 ] simplifiying candidate # 1537025739.163 * * * * [misc]progress: [ 7 / 150 ] simplifiying candidate # 1537025739.163 * * * * [misc]progress: [ 8 / 150 ] simplifiying candidate # 1537025739.163 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025739.166 * * [misc]simplify: iters left: 6 (21 enodes) 1537025739.178 * * [misc]simplify: iters left: 5 (41 enodes) 1537025739.194 * * [misc]simplify: iters left: 4 (135 enodes) 1537025739.376 * [exit]simplify: Simplified to (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)) 1537025739.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (/ (* 2 (* PI n)) (* (sqrt k) k)) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (/ (- k) 2)) 3)))) 1537025739.376 * * * * [misc]progress: [ 9 / 150 ] simplifiying candidate # 1537025739.376 * [enter]simplify: Simplifying (/ (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI))) (* (* (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025739.378 * * [misc]simplify: iters left: 6 (19 enodes) 1537025739.384 * * [misc]simplify: iters left: 5 (40 enodes) 1537025739.401 * * [misc]simplify: iters left: 4 (128 enodes) 1537025739.545 * [exit]simplify: Simplified to (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))) 1537025739.545 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (* (* 2 n) PI) (pow (* (* 2 n) PI) (/ (- k) 2))) (/ k (pow (* (* 2 n) PI) (/ (- k) 2)))) (/ (/ (sqrt k) (pow (* (* 2 n) PI) (/ (- k) 2))) (sqrt (* (* 2 n) PI)))))) 1537025739.545 * * * * [misc]progress: [ 10 / 150 ] simplifiying candidate # 1537025739.545 * * * * [misc]progress: [ 11 / 150 ] simplifiying candidate # 1537025739.545 * * * * [misc]progress: [ 12 / 150 ] simplifiying candidate # 1537025739.545 * * * * [misc]progress: [ 13 / 150 ] simplifiying candidate # 1537025739.545 * * * * [misc]progress: [ 14 / 150 ] simplifiying candidate # 1537025739.546 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025739.547 * * [misc]simplify: iters left: 6 (19 enodes) 1537025739.551 * * [misc]simplify: iters left: 5 (32 enodes) 1537025739.558 * * [misc]simplify: iters left: 4 (45 enodes) 1537025739.565 * * [misc]simplify: iters left: 3 (49 enodes) 1537025739.573 * * [misc]simplify: iters left: 2 (52 enodes) 1537025739.585 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) 1537025739.585 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025739.585 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025739.586 * * [misc]simplify: iters left: 6 (17 enodes) 1537025739.590 * * [misc]simplify: iters left: 5 (24 enodes) 1537025739.594 * * [misc]simplify: iters left: 4 (28 enodes) 1537025739.598 * * [misc]simplify: iters left: 3 (29 enodes) 1537025739.604 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537025739.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537025739.604 * * * * [misc]progress: [ 15 / 150 ] simplifiying candidate # 1537025739.604 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025739.605 * * [misc]simplify: iters left: 6 (18 enodes) 1537025739.609 * * [misc]simplify: iters left: 5 (27 enodes) 1537025739.614 * * [misc]simplify: iters left: 4 (33 enodes) 1537025739.620 * * [misc]simplify: iters left: 3 (35 enodes) 1537025739.626 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1537025739.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* n (* PI 2)))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025739.626 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025739.628 * * [misc]simplify: iters left: 6 (17 enodes) 1537025739.631 * * [misc]simplify: iters left: 5 (24 enodes) 1537025739.635 * * [misc]simplify: iters left: 4 (28 enodes) 1537025739.640 * * [misc]simplify: iters left: 3 (29 enodes) 1537025739.647 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537025739.647 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537025739.647 * * * * [misc]progress: [ 16 / 150 ] simplifiying candidate # 1537025739.647 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537025739.648 * * [misc]simplify: iters left: 6 (17 enodes) 1537025739.652 * * [misc]simplify: iters left: 5 (29 enodes) 1537025739.659 * * [misc]simplify: iters left: 4 (50 enodes) 1537025739.672 * * [misc]simplify: iters left: 3 (92 enodes) 1537025739.694 * * [misc]simplify: iters left: 2 (141 enodes) 1537025739.726 * * [misc]simplify: iters left: 1 (170 enodes) 1537025739.768 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) 1537025739.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (/ (- k) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025739.768 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025739.769 * * [misc]simplify: iters left: 6 (16 enodes) 1537025739.775 * * [misc]simplify: iters left: 5 (23 enodes) 1537025739.779 * * [misc]simplify: iters left: 4 (32 enodes) 1537025739.785 * * [misc]simplify: iters left: 3 (35 enodes) 1537025739.791 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537025739.791 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537025739.791 * * * * [misc]progress: [ 17 / 150 ] simplifiying candidate # 1537025739.791 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025739.792 * * [misc]simplify: iters left: 6 (21 enodes) 1537025739.798 * * [misc]simplify: iters left: 5 (38 enodes) 1537025739.814 * * [misc]simplify: iters left: 4 (73 enodes) 1537025739.851 * * [misc]simplify: iters left: 3 (144 enodes) 1537025739.939 * * [misc]simplify: iters left: 2 (276 enodes) 1537025740.070 * * [misc]simplify: iters left: 1 (386 enodes) 1537025740.363 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) 1537025740.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (pow (* (* 2 n) PI) (/ (- k) 2))) (cbrt (sqrt k))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025740.364 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025740.365 * * [misc]simplify: iters left: 6 (18 enodes) 1537025740.369 * * [misc]simplify: iters left: 5 (27 enodes) 1537025740.374 * * [misc]simplify: iters left: 4 (34 enodes) 1537025740.380 * * [misc]simplify: iters left: 3 (37 enodes) 1537025740.388 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537025740.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537025740.388 * * * * [misc]progress: [ 18 / 150 ] simplifiying candidate # 1537025740.389 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025740.391 * * [misc]simplify: iters left: 6 (20 enodes) 1537025740.400 * * [misc]simplify: iters left: 5 (33 enodes) 1537025740.413 * * [misc]simplify: iters left: 4 (52 enodes) 1537025740.428 * * [misc]simplify: iters left: 3 (95 enodes) 1537025740.453 * * [misc]simplify: iters left: 2 (152 enodes) 1537025740.519 * * [misc]simplify: iters left: 1 (185 enodes) 1537025740.574 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) 1537025740.574 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* 2 n) PI) (/ (- k) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025740.574 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025740.575 * * [misc]simplify: iters left: 6 (18 enodes) 1537025740.579 * * [misc]simplify: iters left: 5 (27 enodes) 1537025740.584 * * [misc]simplify: iters left: 4 (34 enodes) 1537025740.589 * * [misc]simplify: iters left: 3 (37 enodes) 1537025740.597 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537025740.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537025740.597 * * * * [misc]progress: [ 19 / 150 ] simplifiying candidate # 1537025740.597 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537025740.598 * * [misc]simplify: iters left: 6 (15 enodes) 1537025740.602 * * [misc]simplify: iters left: 5 (27 enodes) 1537025740.611 * * [misc]simplify: iters left: 4 (51 enodes) 1537025740.622 * * [misc]simplify: iters left: 3 (78 enodes) 1537025740.641 * * [misc]simplify: iters left: 2 (149 enodes) 1537025740.695 * * [misc]simplify: iters left: 1 (239 enodes) 1537025740.766 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) 1537025740.766 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025740.766 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025740.768 * * [misc]simplify: iters left: 6 (17 enodes) 1537025740.778 * * [misc]simplify: iters left: 5 (26 enodes) 1537025740.787 * * [misc]simplify: iters left: 4 (33 enodes) 1537025740.798 * * [misc]simplify: iters left: 3 (36 enodes) 1537025740.811 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025740.811 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt k)))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025740.811 * * * * [misc]progress: [ 20 / 150 ] simplifiying candidate # 1537025740.811 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537025740.813 * * [misc]simplify: iters left: 6 (16 enodes) 1537025740.820 * * [misc]simplify: iters left: 5 (26 enodes) 1537025740.831 * * [misc]simplify: iters left: 4 (39 enodes) 1537025740.845 * * [misc]simplify: iters left: 3 (52 enodes) 1537025740.862 * * [misc]simplify: iters left: 2 (64 enodes) 1537025740.881 * * [misc]simplify: iters left: 1 (70 enodes) 1537025740.915 * [exit]simplify: Simplified to (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025740.915 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (cbrt (sqrt (* (* 2 n) PI)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025740.915 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025740.917 * * [misc]simplify: iters left: 6 (16 enodes) 1537025740.924 * * [misc]simplify: iters left: 5 (23 enodes) 1537025740.933 * * [misc]simplify: iters left: 4 (32 enodes) 1537025740.943 * * [misc]simplify: iters left: 3 (35 enodes) 1537025740.955 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537025740.955 * [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 (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537025740.955 * * * * [misc]progress: [ 21 / 150 ] simplifiying candidate # 1537025740.956 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025740.958 * * [misc]simplify: iters left: 6 (20 enodes) 1537025740.967 * * [misc]simplify: iters left: 5 (33 enodes) 1537025740.980 * * [misc]simplify: iters left: 4 (48 enodes) 1537025740.999 * * [misc]simplify: iters left: 3 (76 enodes) 1537025741.030 * * [misc]simplify: iters left: 2 (115 enodes) 1537025741.079 * * [misc]simplify: iters left: 1 (148 enodes) 1537025741.157 * [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))) 1537025741.157 * [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 (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025741.158 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025741.160 * * [misc]simplify: iters left: 6 (18 enodes) 1537025741.168 * * [misc]simplify: iters left: 5 (27 enodes) 1537025741.178 * * [misc]simplify: iters left: 4 (34 enodes) 1537025741.189 * * [misc]simplify: iters left: 3 (37 enodes) 1537025741.203 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537025741.203 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537025741.203 * * * * [misc]progress: [ 22 / 150 ] simplifiying candidate # 1537025741.203 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025741.205 * * [misc]simplify: iters left: 6 (19 enodes) 1537025741.214 * * [misc]simplify: iters left: 5 (30 enodes) 1537025741.225 * * [misc]simplify: iters left: 4 (41 enodes) 1537025741.240 * * [misc]simplify: iters left: 3 (54 enodes) 1537025741.257 * * [misc]simplify: iters left: 2 (66 enodes) 1537025741.276 * * [misc]simplify: iters left: 1 (72 enodes) 1537025741.312 * [exit]simplify: Simplified to (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025741.312 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025741.312 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025741.314 * * [misc]simplify: iters left: 6 (18 enodes) 1537025741.321 * * [misc]simplify: iters left: 5 (27 enodes) 1537025741.331 * * [misc]simplify: iters left: 4 (34 enodes) 1537025741.342 * * [misc]simplify: iters left: 3 (37 enodes) 1537025741.357 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537025741.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537025741.357 * * * * [misc]progress: [ 23 / 150 ] simplifiying candidate # 1537025741.357 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt k)) 1)) 1537025741.359 * * [misc]simplify: iters left: 6 (14 enodes) 1537025741.362 * * [misc]simplify: iters left: 5 (24 enodes) 1537025741.368 * * [misc]simplify: iters left: 4 (38 enodes) 1537025741.374 * * [misc]simplify: iters left: 3 (50 enodes) 1537025741.381 * * [misc]simplify: iters left: 2 (51 enodes) 1537025741.388 * * [misc]simplify: iters left: 1 (57 enodes) 1537025741.398 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) 1537025741.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025741.398 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025741.399 * * [misc]simplify: iters left: 6 (17 enodes) 1537025741.403 * * [misc]simplify: iters left: 5 (26 enodes) 1537025741.408 * * [misc]simplify: iters left: 4 (33 enodes) 1537025741.415 * * [misc]simplify: iters left: 3 (36 enodes) 1537025741.428 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025741.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (sqrt k))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025741.428 * * * * [misc]progress: [ 24 / 150 ] simplifiying candidate # 1537025741.428 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (pow PI (- (/ k 2))))) 1537025741.429 * * [misc]simplify: iters left: 6 (15 enodes) 1537025741.437 * * [misc]simplify: iters left: 5 (27 enodes) 1537025741.447 * * [misc]simplify: iters left: 4 (40 enodes) 1537025741.463 * * [misc]simplify: iters left: 3 (56 enodes) 1537025741.483 * * [misc]simplify: iters left: 2 (79 enodes) 1537025741.525 * * [misc]simplify: iters left: 1 (158 enodes) 1537025741.634 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537025741.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537025741.635 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537025741.637 * * [misc]simplify: iters left: 6 (15 enodes) 1537025741.643 * * [misc]simplify: iters left: 5 (22 enodes) 1537025741.651 * * [misc]simplify: iters left: 4 (31 enodes) 1537025741.661 * * [misc]simplify: iters left: 3 (34 enodes) 1537025741.673 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1537025741.673 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (cbrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1537025741.673 * * * * [misc]progress: [ 25 / 150 ] simplifiying candidate # 1537025741.674 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025741.676 * * [misc]simplify: iters left: 6 (19 enodes) 1537025741.685 * * [misc]simplify: iters left: 5 (34 enodes) 1537025741.697 * * [misc]simplify: iters left: 4 (49 enodes) 1537025741.718 * * [misc]simplify: iters left: 3 (78 enodes) 1537025741.765 * * [misc]simplify: iters left: 2 (186 enodes) 1537025741.979 * [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)))))) 1537025741.980 * [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 (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025741.980 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025741.982 * * [misc]simplify: iters left: 6 (17 enodes) 1537025741.989 * * [misc]simplify: iters left: 5 (26 enodes) 1537025741.998 * * [misc]simplify: iters left: 4 (33 enodes) 1537025742.009 * * [misc]simplify: iters left: 3 (36 enodes) 1537025742.022 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537025742.023 * [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 (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537025742.023 * * * * [misc]progress: [ 26 / 150 ] simplifiying candidate # 1537025742.023 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.025 * * [misc]simplify: iters left: 6 (18 enodes) 1537025742.033 * * [misc]simplify: iters left: 5 (31 enodes) 1537025742.047 * * [misc]simplify: iters left: 4 (42 enodes) 1537025742.062 * * [misc]simplify: iters left: 3 (58 enodes) 1537025742.074 * * [misc]simplify: iters left: 2 (81 enodes) 1537025742.094 * * [misc]simplify: iters left: 1 (143 enodes) 1537025742.149 * [exit]simplify: Simplified to (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) 1537025742.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025742.150 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.152 * * [misc]simplify: iters left: 6 (17 enodes) 1537025742.159 * * [misc]simplify: iters left: 5 (26 enodes) 1537025742.168 * * [misc]simplify: iters left: 4 (33 enodes) 1537025742.179 * * [misc]simplify: iters left: 3 (36 enodes) 1537025742.193 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537025742.193 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (sqrt (* (* PI 2) n))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (sqrt (* (* PI 2) n)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (cbrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537025742.193 * * * * [misc]progress: [ 27 / 150 ] simplifiying candidate # 1537025742.194 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ 1 1)) 1537025742.195 * * [misc]simplify: iters left: 6 (11 enodes) 1537025742.200 * * [misc]simplify: iters left: 5 (19 enodes) 1537025742.207 * * [misc]simplify: iters left: 4 (25 enodes) 1537025742.216 * * [misc]simplify: iters left: 3 (34 enodes) 1537025742.221 * * [misc]simplify: iters left: 2 (46 enodes) 1537025742.230 * * [misc]simplify: iters left: 1 (74 enodes) 1537025742.244 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025742.244 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025742.244 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025742.245 * * [misc]simplify: iters left: 6 (16 enodes) 1537025742.249 * * [misc]simplify: iters left: 5 (25 enodes) 1537025742.255 * * [misc]simplify: iters left: 4 (32 enodes) 1537025742.264 * * [misc]simplify: iters left: 3 (35 enodes) 1537025742.276 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537025742.276 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025742.276 * * * * [misc]progress: [ 28 / 150 ] simplifiying candidate # 1537025742.276 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1) 1537025742.277 * * [misc]simplify: iters left: 6 (10 enodes) 1537025742.279 * * [misc]simplify: iters left: 5 (18 enodes) 1537025742.284 * * [misc]simplify: iters left: 4 (30 enodes) 1537025742.288 * * [misc]simplify: iters left: 3 (33 enodes) 1537025742.293 * * [misc]simplify: iters left: 2 (38 enodes) 1537025742.299 * [exit]simplify: Simplified to (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) 1537025742.299 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025742.299 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025742.300 * * [misc]simplify: iters left: 6 (16 enodes) 1537025742.304 * * [misc]simplify: iters left: 5 (25 enodes) 1537025742.309 * * [misc]simplify: iters left: 4 (32 enodes) 1537025742.319 * * [misc]simplify: iters left: 3 (35 enodes) 1537025742.334 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537025742.334 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025742.334 * * * * [misc]progress: [ 29 / 150 ] simplifiying candidate # 1537025742.334 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) 1537025742.336 * * [misc]simplify: iters left: 6 (11 enodes) 1537025742.340 * * [misc]simplify: iters left: 5 (17 enodes) 1537025742.347 * * [misc]simplify: iters left: 4 (25 enodes) 1537025742.356 * * [misc]simplify: iters left: 3 (27 enodes) 1537025742.367 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) 1537025742.367 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* (* PI n) 2))) (/ (sqrt k) (cbrt (sqrt (* (* PI n) 2))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025742.367 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537025742.369 * * [misc]simplify: iters left: 6 (16 enodes) 1537025742.376 * * [misc]simplify: iters left: 5 (27 enodes) 1537025742.385 * * [misc]simplify: iters left: 4 (34 enodes) 1537025742.398 * * [misc]simplify: iters left: 3 (45 enodes) 1537025742.412 * * [misc]simplify: iters left: 2 (47 enodes) 1537025742.423 * * [misc]simplify: iters left: 1 (52 enodes) 1537025742.438 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))) 1537025742.438 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537025742.438 * * * * [misc]progress: [ 30 / 150 ] simplifiying candidate # 1537025742.439 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) 1)) 1537025742.440 * * [misc]simplify: iters left: 6 (13 enodes) 1537025742.446 * * [misc]simplify: iters left: 5 (23 enodes) 1537025742.456 * * [misc]simplify: iters left: 4 (37 enodes) 1537025742.471 * * [misc]simplify: iters left: 3 (49 enodes) 1537025742.480 * * [misc]simplify: iters left: 2 (50 enodes) 1537025742.485 * * [misc]simplify: iters left: 1 (56 enodes) 1537025742.494 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) 1537025742.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537025742.494 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537025742.495 * * [misc]simplify: iters left: 6 (13 enodes) 1537025742.497 * * [misc]simplify: iters left: 5 (18 enodes) 1537025742.501 * * [misc]simplify: iters left: 4 (22 enodes) 1537025742.504 * * [misc]simplify: iters left: 3 (24 enodes) 1537025742.509 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537025742.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2)))) (sqrt k)) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537025742.510 * * * * [misc]progress: [ 31 / 150 ] simplifiying candidate # 1537025742.510 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537025742.512 * * [misc]simplify: iters left: 6 (16 enodes) 1537025742.519 * * [misc]simplify: iters left: 5 (26 enodes) 1537025742.526 * * [misc]simplify: iters left: 4 (33 enodes) 1537025742.532 * * [misc]simplify: iters left: 3 (45 enodes) 1537025742.540 * * [misc]simplify: iters left: 2 (63 enodes) 1537025742.551 * * [misc]simplify: iters left: 1 (68 enodes) 1537025742.563 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) 1537025742.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537025742.564 * [enter]simplify: Simplifying (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537025742.565 * * [misc]simplify: iters left: 6 (13 enodes) 1537025742.571 * * [misc]simplify: iters left: 5 (18 enodes) 1537025742.577 * * [misc]simplify: iters left: 4 (22 enodes) 1537025742.585 * * [misc]simplify: iters left: 3 (24 enodes) 1537025742.593 * [exit]simplify: Simplified to (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537025742.593 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (cbrt (sqrt (* n (* PI 2)))))) (/ (cbrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537025742.593 * * * * [misc]progress: [ 32 / 150 ] simplifiying candidate # 1537025742.593 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025742.595 * * [misc]simplify: iters left: 6 (16 enodes) 1537025742.602 * * [misc]simplify: iters left: 5 (23 enodes) 1537025742.610 * * [misc]simplify: iters left: 4 (29 enodes) 1537025742.620 * * [misc]simplify: iters left: 3 (30 enodes) 1537025742.628 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) 1537025742.628 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* 2 n)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025742.628 * [enter]simplify: Simplifying (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.629 * * [misc]simplify: iters left: 6 (14 enodes) 1537025742.632 * * [misc]simplify: iters left: 5 (20 enodes) 1537025742.635 * * [misc]simplify: iters left: 4 (26 enodes) 1537025742.640 * * [misc]simplify: iters left: 3 (28 enodes) 1537025742.645 * [exit]simplify: Simplified to (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537025742.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537025742.645 * * * * [misc]progress: [ 33 / 150 ] simplifiying candidate # 1537025742.645 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.646 * * [misc]simplify: iters left: 6 (15 enodes) 1537025742.651 * * [misc]simplify: iters left: 5 (20 enodes) 1537025742.655 * * [misc]simplify: iters left: 4 (26 enodes) 1537025742.659 * * [misc]simplify: iters left: 3 (27 enodes) 1537025742.664 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537025742.664 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025742.664 * [enter]simplify: Simplifying (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.665 * * [misc]simplify: iters left: 6 (14 enodes) 1537025742.668 * * [misc]simplify: iters left: 5 (20 enodes) 1537025742.672 * * [misc]simplify: iters left: 4 (26 enodes) 1537025742.676 * * [misc]simplify: iters left: 3 (28 enodes) 1537025742.682 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537025742.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537025742.682 * * * * [misc]progress: [ 34 / 150 ] simplifiying candidate # 1537025742.682 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537025742.683 * * [misc]simplify: iters left: 6 (14 enodes) 1537025742.686 * * [misc]simplify: iters left: 5 (21 enodes) 1537025742.689 * * [misc]simplify: iters left: 4 (28 enodes) 1537025742.695 * * [misc]simplify: iters left: 3 (40 enodes) 1537025742.701 * * [misc]simplify: iters left: 2 (45 enodes) 1537025742.712 * * [misc]simplify: iters left: 1 (52 enodes) 1537025742.736 * [exit]simplify: Simplified to (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) 1537025742.736 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025742.737 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025742.738 * * [misc]simplify: iters left: 6 (13 enodes) 1537025742.743 * * [misc]simplify: iters left: 5 (18 enodes) 1537025742.749 * * [misc]simplify: iters left: 4 (21 enodes) 1537025742.753 * * [misc]simplify: iters left: 3 (23 enodes) 1537025742.757 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))) 1537025742.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537025742.757 * * * * [misc]progress: [ 35 / 150 ] simplifiying candidate # 1537025742.758 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025742.759 * * [misc]simplify: iters left: 6 (18 enodes) 1537025742.763 * * [misc]simplify: iters left: 5 (31 enodes) 1537025742.770 * * [misc]simplify: iters left: 4 (55 enodes) 1537025742.784 * * [misc]simplify: iters left: 3 (80 enodes) 1537025742.815 * * [misc]simplify: iters left: 2 (110 enodes) 1537025742.854 * * [misc]simplify: iters left: 1 (133 enodes) 1537025742.895 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) 1537025742.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))) (cbrt (sqrt k))) (* (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025742.895 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.896 * * [misc]simplify: iters left: 6 (15 enodes) 1537025742.899 * * [misc]simplify: iters left: 5 (23 enodes) 1537025742.908 * * [misc]simplify: iters left: 4 (32 enodes) 1537025742.921 * * [misc]simplify: iters left: 3 (35 enodes) 1537025742.934 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537025742.934 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537025742.934 * * * * [misc]progress: [ 36 / 150 ] simplifiying candidate # 1537025742.934 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025742.936 * * [misc]simplify: iters left: 6 (17 enodes) 1537025742.944 * * [misc]simplify: iters left: 5 (26 enodes) 1537025742.954 * * [misc]simplify: iters left: 4 (39 enodes) 1537025742.968 * * [misc]simplify: iters left: 3 (53 enodes) 1537025742.980 * * [misc]simplify: iters left: 2 (58 enodes) 1537025742.988 * * [misc]simplify: iters left: 1 (65 enodes) 1537025743.001 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1537025743.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 PI) n) (- (/ k 2)))) (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.001 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.002 * * [misc]simplify: iters left: 6 (15 enodes) 1537025743.005 * * [misc]simplify: iters left: 5 (23 enodes) 1537025743.012 * * [misc]simplify: iters left: 4 (32 enodes) 1537025743.025 * * [misc]simplify: iters left: 3 (35 enodes) 1537025743.037 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537025743.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537025743.037 * * * * [misc]progress: [ 37 / 150 ] simplifiying candidate # 1537025743.037 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537025743.038 * * [misc]simplify: iters left: 6 (11 enodes) 1537025743.040 * * [misc]simplify: iters left: 5 (18 enodes) 1537025743.045 * * [misc]simplify: iters left: 4 (29 enodes) 1537025743.049 * * [misc]simplify: iters left: 3 (35 enodes) 1537025743.056 * * [misc]simplify: iters left: 2 (59 enodes) 1537025743.070 * * [misc]simplify: iters left: 1 (79 enodes) 1537025743.095 * [exit]simplify: Simplified to (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) 1537025743.096 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.096 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025743.097 * * [misc]simplify: iters left: 6 (14 enodes) 1537025743.100 * * [misc]simplify: iters left: 5 (22 enodes) 1537025743.104 * * [misc]simplify: iters left: 4 (31 enodes) 1537025743.109 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.117 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))) 1537025743.117 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt (* 2 n)) (cbrt (sqrt k))) (cbrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (cbrt (sqrt k)))))) 1537025743.117 * * * * [misc]progress: [ 38 / 150 ] simplifiying candidate # 1537025743.118 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537025743.118 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.121 * * [misc]simplify: iters left: 5 (18 enodes) 1537025743.124 * * [misc]simplify: iters left: 4 (21 enodes) 1537025743.127 * * [misc]simplify: iters left: 3 (23 enodes) 1537025743.131 * [exit]simplify: Simplified to (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537025743.131 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (/ (- k) 2)) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025743.132 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025743.133 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.135 * * [misc]simplify: iters left: 5 (18 enodes) 1537025743.138 * * [misc]simplify: iters left: 4 (21 enodes) 1537025743.144 * * [misc]simplify: iters left: 3 (23 enodes) 1537025743.152 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))) 1537025743.152 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (* (pow (* n 2) (/ (- k) 2)) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537025743.152 * * * * [misc]progress: [ 39 / 150 ] simplifiying candidate # 1537025743.153 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.155 * * [misc]simplify: iters left: 6 (17 enodes) 1537025743.162 * * [misc]simplify: iters left: 5 (26 enodes) 1537025743.172 * * [misc]simplify: iters left: 4 (37 enodes) 1537025743.185 * * [misc]simplify: iters left: 3 (47 enodes) 1537025743.201 * * [misc]simplify: iters left: 2 (55 enodes) 1537025743.215 * * [misc]simplify: iters left: 1 (57 enodes) 1537025743.246 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537025743.246 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.246 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.248 * * [misc]simplify: iters left: 6 (15 enodes) 1537025743.254 * * [misc]simplify: iters left: 5 (23 enodes) 1537025743.263 * * [misc]simplify: iters left: 4 (32 enodes) 1537025743.274 * * [misc]simplify: iters left: 3 (35 enodes) 1537025743.287 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537025743.287 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537025743.287 * * * * [misc]progress: [ 40 / 150 ] simplifiying candidate # 1537025743.287 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.289 * * [misc]simplify: iters left: 6 (16 enodes) 1537025743.296 * * [misc]simplify: iters left: 5 (23 enodes) 1537025743.305 * * [misc]simplify: iters left: 4 (32 enodes) 1537025743.316 * * [misc]simplify: iters left: 3 (35 enodes) 1537025743.329 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) 1537025743.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n (* PI 2)) (- (/ k 2)))) (/ (sqrt (* 2 n)) (sqrt (sqrt k)))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.329 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.331 * * [misc]simplify: iters left: 6 (15 enodes) 1537025743.337 * * [misc]simplify: iters left: 5 (23 enodes) 1537025743.346 * * [misc]simplify: iters left: 4 (32 enodes) 1537025743.359 * * [misc]simplify: iters left: 3 (35 enodes) 1537025743.372 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537025743.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (sqrt (pow (* (* PI 2) n) (/ (- k) 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537025743.372 * * * * [misc]progress: [ 41 / 150 ] simplifiying candidate # 1537025743.372 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt (sqrt k)) 1)) 1537025743.373 * * [misc]simplify: iters left: 6 (10 enodes) 1537025743.377 * * [misc]simplify: iters left: 5 (15 enodes) 1537025743.383 * * [misc]simplify: iters left: 4 (22 enodes) 1537025743.389 * * [misc]simplify: iters left: 3 (26 enodes) 1537025743.396 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt (sqrt k))) 1537025743.396 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.396 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025743.398 * * [misc]simplify: iters left: 6 (14 enodes) 1537025743.404 * * [misc]simplify: iters left: 5 (22 enodes) 1537025743.412 * * [misc]simplify: iters left: 4 (31 enodes) 1537025743.423 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.435 * [exit]simplify: Simplified to (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1537025743.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt (sqrt k))) (* (pow (* (* n 2) PI) (- (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))))) 1537025743.435 * * * * [misc]progress: [ 42 / 150 ] simplifiying candidate # 1537025743.435 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (pow PI (- (/ k 2))))) 1537025743.436 * * [misc]simplify: iters left: 6 (12 enodes) 1537025743.441 * * [misc]simplify: iters left: 5 (19 enodes) 1537025743.448 * * [misc]simplify: iters left: 4 (22 enodes) 1537025743.456 * * [misc]simplify: iters left: 3 (32 enodes) 1537025743.466 * * [misc]simplify: iters left: 2 (34 enodes) 1537025743.473 * * [misc]simplify: iters left: 1 (39 enodes) 1537025743.485 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) 1537025743.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537025743.485 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537025743.488 * * [misc]simplify: iters left: 6 (12 enodes) 1537025743.493 * * [misc]simplify: iters left: 5 (17 enodes) 1537025743.499 * * [misc]simplify: iters left: 4 (20 enodes) 1537025743.505 * * [misc]simplify: iters left: 3 (22 enodes) 1537025743.514 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537025743.514 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (* 2 n))) (* (/ (sqrt PI) (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1537025743.514 * * * * [misc]progress: [ 43 / 150 ] simplifiying candidate # 1537025743.515 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.516 * * [misc]simplify: iters left: 6 (16 enodes) 1537025743.523 * * [misc]simplify: iters left: 5 (27 enodes) 1537025743.533 * * [misc]simplify: iters left: 4 (38 enodes) 1537025743.549 * * [misc]simplify: iters left: 3 (53 enodes) 1537025743.563 * * [misc]simplify: iters left: 2 (62 enodes) 1537025743.571 * * [misc]simplify: iters left: 1 (72 enodes) 1537025743.589 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1537025743.589 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.590 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.593 * * [misc]simplify: iters left: 6 (14 enodes) 1537025743.600 * * [misc]simplify: iters left: 5 (22 enodes) 1537025743.608 * * [misc]simplify: iters left: 4 (31 enodes) 1537025743.618 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.625 * [exit]simplify: Simplified to (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1537025743.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1537025743.625 * * * * [misc]progress: [ 44 / 150 ] simplifiying candidate # 1537025743.625 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.626 * * [misc]simplify: iters left: 6 (15 enodes) 1537025743.629 * * [misc]simplify: iters left: 5 (24 enodes) 1537025743.634 * * [misc]simplify: iters left: 4 (33 enodes) 1537025743.640 * * [misc]simplify: iters left: 3 (45 enodes) 1537025743.647 * * [misc]simplify: iters left: 2 (47 enodes) 1537025743.653 * * [misc]simplify: iters left: 1 (52 enodes) 1537025743.661 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) 1537025743.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.661 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.662 * * [misc]simplify: iters left: 6 (14 enodes) 1537025743.665 * * [misc]simplify: iters left: 5 (22 enodes) 1537025743.669 * * [misc]simplify: iters left: 4 (31 enodes) 1537025743.676 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.682 * [exit]simplify: Simplified to (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))) 1537025743.682 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (sqrt (* 2 n))) (* (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))) (/ (sqrt PI) (sqrt k))))) 1537025743.682 * * * * [misc]progress: [ 45 / 150 ] simplifiying candidate # 1537025743.682 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ 1 1)) 1537025743.683 * * [misc]simplify: iters left: 5 (7 enodes) 1537025743.684 * * [misc]simplify: iters left: 4 (10 enodes) 1537025743.686 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025743.686 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.686 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025743.686 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.689 * * [misc]simplify: iters left: 5 (21 enodes) 1537025743.694 * * [misc]simplify: iters left: 4 (30 enodes) 1537025743.699 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.706 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1537025743.706 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1537025743.706 * * * * [misc]progress: [ 46 / 150 ] simplifiying candidate # 1537025743.706 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) 1) 1537025743.707 * * [misc]simplify: iters left: 5 (6 enodes) 1537025743.710 * * [misc]simplify: iters left: 4 (9 enodes) 1537025743.713 * * [misc]simplify: iters left: 3 (11 enodes) 1537025743.716 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025743.716 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.716 * [enter]simplify: Simplifying (/ (sqrt PI) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025743.717 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.723 * * [misc]simplify: iters left: 5 (21 enodes) 1537025743.732 * * [misc]simplify: iters left: 4 (30 enodes) 1537025743.738 * * [misc]simplify: iters left: 3 (34 enodes) 1537025743.744 * [exit]simplify: Simplified to (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))) 1537025743.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* (* n PI) 2) (- (/ k 2))) (/ (sqrt PI) (sqrt k))))) 1537025743.745 * * * * [misc]progress: [ 47 / 150 ] simplifiying candidate # 1537025743.745 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (sqrt k)) 1537025743.745 * * [misc]simplify: iters left: 5 (7 enodes) 1537025743.746 * * [misc]simplify: iters left: 4 (8 enodes) 1537025743.748 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537025743.748 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.748 * [enter]simplify: Simplifying (/ (sqrt PI) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537025743.749 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.752 * * [misc]simplify: iters left: 5 (23 enodes) 1537025743.756 * * [misc]simplify: iters left: 4 (32 enodes) 1537025743.766 * * [misc]simplify: iters left: 3 (44 enodes) 1537025743.778 * * [misc]simplify: iters left: 2 (46 enodes) 1537025743.788 * * [misc]simplify: iters left: 1 (51 enodes) 1537025743.803 * [exit]simplify: Simplified to (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)) 1537025743.803 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (* (pow (* n (* 2 PI)) (- (/ k 2))) (sqrt PI)))) 1537025743.803 * * * * [misc]progress: [ 48 / 150 ] simplifiying candidate # 1537025743.803 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) 1)) 1537025743.804 * * [misc]simplify: iters left: 5 (9 enodes) 1537025743.808 * * [misc]simplify: iters left: 4 (14 enodes) 1537025743.813 * * [misc]simplify: iters left: 3 (21 enodes) 1537025743.817 * * [misc]simplify: iters left: 2 (25 enodes) 1537025743.820 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537025743.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1537025743.820 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1537025743.820 * * [misc]simplify: iters left: 6 (10 enodes) 1537025743.822 * * [misc]simplify: iters left: 5 (14 enodes) 1537025743.825 * * [misc]simplify: iters left: 4 (20 enodes) 1537025743.828 * * [misc]simplify: iters left: 3 (21 enodes) 1537025743.832 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1537025743.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1537025743.832 * * * * [misc]progress: [ 49 / 150 ] simplifiying candidate # 1537025743.832 * [enter]simplify: Simplifying (/ (sqrt (* 2 n)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537025743.833 * * [misc]simplify: iters left: 6 (13 enodes) 1537025743.836 * * [misc]simplify: iters left: 5 (19 enodes) 1537025743.839 * * [misc]simplify: iters left: 4 (26 enodes) 1537025743.849 * * [misc]simplify: iters left: 3 (33 enodes) 1537025743.857 * * [misc]simplify: iters left: 2 (36 enodes) 1537025743.868 * * [misc]simplify: iters left: 1 (40 enodes) 1537025743.878 * [exit]simplify: Simplified to (/ (sqrt (* 2 n)) (sqrt k)) 1537025743.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))))) 1537025743.878 * [enter]simplify: Simplifying (/ (sqrt PI) (pow (* PI (* n 2)) (/ k 2))) 1537025743.879 * * [misc]simplify: iters left: 6 (10 enodes) 1537025743.881 * * [misc]simplify: iters left: 5 (14 enodes) 1537025743.884 * * [misc]simplify: iters left: 4 (20 enodes) 1537025743.887 * * [misc]simplify: iters left: 3 (21 enodes) 1537025743.891 * [exit]simplify: Simplified to (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))) 1537025743.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* 2 n)) (sqrt k)) (/ (sqrt PI) (pow (* (* n 2) PI) (/ k 2))))) 1537025743.891 * * * * [misc]progress: [ 50 / 150 ] simplifiying candidate # 1537025743.891 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025743.892 * * [misc]simplify: iters left: 6 (18 enodes) 1537025743.896 * * [misc]simplify: iters left: 5 (27 enodes) 1537025743.901 * * [misc]simplify: iters left: 4 (31 enodes) 1537025743.905 * * [misc]simplify: iters left: 3 (32 enodes) 1537025743.916 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537025743.916 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (sqrt (* n (* PI 2)))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.917 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.919 * * [misc]simplify: iters left: 6 (17 enodes) 1537025743.926 * * [misc]simplify: iters left: 5 (24 enodes) 1537025743.933 * * [misc]simplify: iters left: 4 (28 enodes) 1537025743.938 * * [misc]simplify: iters left: 3 (29 enodes) 1537025743.943 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537025743.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt (* (* PI 2) n))) (cbrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537025743.943 * * * * [misc]progress: [ 51 / 150 ] simplifiying candidate # 1537025743.943 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.944 * * [misc]simplify: iters left: 6 (17 enodes) 1537025743.948 * * [misc]simplify: iters left: 5 (24 enodes) 1537025743.953 * * [misc]simplify: iters left: 4 (28 enodes) 1537025743.957 * * [misc]simplify: iters left: 3 (29 enodes) 1537025743.965 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537025743.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025743.966 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025743.968 * * [misc]simplify: iters left: 6 (17 enodes) 1537025743.975 * * [misc]simplify: iters left: 5 (24 enodes) 1537025743.983 * * [misc]simplify: iters left: 4 (28 enodes) 1537025743.992 * * [misc]simplify: iters left: 3 (29 enodes) 1537025744.002 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))) 1537025744.002 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (/ (sqrt k) (pow (* (* PI 2) n) (- (/ k 2)))))))) 1537025744.002 * * * * [misc]progress: [ 52 / 150 ] simplifiying candidate # 1537025744.003 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537025744.004 * * [misc]simplify: iters left: 6 (16 enodes) 1537025744.011 * * [misc]simplify: iters left: 5 (26 enodes) 1537025744.022 * * [misc]simplify: iters left: 4 (39 enodes) 1537025744.036 * * [misc]simplify: iters left: 3 (52 enodes) 1537025744.053 * * [misc]simplify: iters left: 2 (57 enodes) 1537025744.068 * * [misc]simplify: iters left: 1 (64 enodes) 1537025744.094 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537025744.095 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025744.095 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025744.097 * * [misc]simplify: iters left: 6 (16 enodes) 1537025744.104 * * [misc]simplify: iters left: 5 (23 enodes) 1537025744.112 * * [misc]simplify: iters left: 4 (32 enodes) 1537025744.123 * * [misc]simplify: iters left: 3 (35 enodes) 1537025744.135 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537025744.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537025744.135 * * * * [misc]progress: [ 53 / 150 ] simplifiying candidate # 1537025744.136 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025744.138 * * [misc]simplify: iters left: 6 (20 enodes) 1537025744.148 * * [misc]simplify: iters left: 5 (35 enodes) 1537025744.164 * * [misc]simplify: iters left: 4 (57 enodes) 1537025744.187 * * [misc]simplify: iters left: 3 (84 enodes) 1537025744.210 * * [misc]simplify: iters left: 2 (116 enodes) 1537025744.231 * * [misc]simplify: iters left: 1 (139 enodes) 1537025744.290 * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537025744.290 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (sqrt (* 2 (* PI n)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025744.291 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.293 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.298 * * [misc]simplify: iters left: 5 (27 enodes) 1537025744.303 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.308 * * [misc]simplify: iters left: 3 (37 enodes) 1537025744.315 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537025744.315 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537025744.315 * * * * [misc]progress: [ 54 / 150 ] simplifiying candidate # 1537025744.316 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.317 * * [misc]simplify: iters left: 6 (19 enodes) 1537025744.321 * * [misc]simplify: iters left: 5 (30 enodes) 1537025744.327 * * [misc]simplify: iters left: 4 (41 enodes) 1537025744.335 * * [misc]simplify: iters left: 3 (54 enodes) 1537025744.350 * * [misc]simplify: iters left: 2 (59 enodes) 1537025744.367 * * [misc]simplify: iters left: 1 (66 enodes) 1537025744.397 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1537025744.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025744.398 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.399 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.407 * * [misc]simplify: iters left: 5 (27 enodes) 1537025744.417 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.428 * * [misc]simplify: iters left: 3 (37 enodes) 1537025744.442 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))) 1537025744.443 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (cbrt (sqrt k))))) 1537025744.443 * * * * [misc]progress: [ 55 / 150 ] simplifiying candidate # 1537025744.443 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537025744.444 * * [misc]simplify: iters left: 6 (14 enodes) 1537025744.451 * * [misc]simplify: iters left: 5 (24 enodes) 1537025744.461 * * [misc]simplify: iters left: 4 (41 enodes) 1537025744.468 * * [misc]simplify: iters left: 3 (48 enodes) 1537025744.476 * * [misc]simplify: iters left: 2 (69 enodes) 1537025744.496 * * [misc]simplify: iters left: 1 (90 enodes) 1537025744.520 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025744.520 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025744.520 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025744.521 * * [misc]simplify: iters left: 6 (17 enodes) 1537025744.525 * * [misc]simplify: iters left: 5 (26 enodes) 1537025744.530 * * [misc]simplify: iters left: 4 (33 enodes) 1537025744.535 * * [misc]simplify: iters left: 3 (36 enodes) 1537025744.542 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025744.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025744.542 * * * * [misc]progress: [ 56 / 150 ] simplifiying candidate # 1537025744.542 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537025744.543 * * [misc]simplify: iters left: 6 (15 enodes) 1537025744.549 * * [misc]simplify: iters left: 5 (23 enodes) 1537025744.558 * * [misc]simplify: iters left: 4 (32 enodes) 1537025744.568 * * [misc]simplify: iters left: 3 (35 enodes) 1537025744.581 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) 1537025744.581 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025744.581 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025744.583 * * [misc]simplify: iters left: 6 (16 enodes) 1537025744.592 * * [misc]simplify: iters left: 5 (23 enodes) 1537025744.601 * * [misc]simplify: iters left: 4 (32 enodes) 1537025744.611 * * [misc]simplify: iters left: 3 (35 enodes) 1537025744.624 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))) 1537025744.624 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- (/ k 2))))))) 1537025744.624 * * * * [misc]progress: [ 57 / 150 ] simplifiying candidate # 1537025744.624 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025744.626 * * [misc]simplify: iters left: 6 (19 enodes) 1537025744.635 * * [misc]simplify: iters left: 5 (30 enodes) 1537025744.645 * * [misc]simplify: iters left: 4 (39 enodes) 1537025744.659 * * [misc]simplify: iters left: 3 (49 enodes) 1537025744.675 * * [misc]simplify: iters left: 2 (57 enodes) 1537025744.690 * * [misc]simplify: iters left: 1 (59 enodes) 1537025744.718 * [exit]simplify: Simplified to (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) 1537025744.718 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- (/ k 2))))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt (sqrt k)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025744.720 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.722 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.730 * * [misc]simplify: iters left: 5 (27 enodes) 1537025744.739 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.747 * * [misc]simplify: iters left: 3 (37 enodes) 1537025744.754 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537025744.754 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (* (cbrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537025744.754 * * * * [misc]progress: [ 58 / 150 ] simplifiying candidate # 1537025744.754 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.756 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.760 * * [misc]simplify: iters left: 5 (27 enodes) 1537025744.764 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.770 * * [misc]simplify: iters left: 3 (37 enodes) 1537025744.777 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537025744.777 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025744.777 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025744.778 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.785 * * [misc]simplify: iters left: 5 (27 enodes) 1537025744.795 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.806 * * [misc]simplify: iters left: 3 (37 enodes) 1537025744.819 * [exit]simplify: Simplified to (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))) 1537025744.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (* (sqrt (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) (sqrt (sqrt k))))) 1537025744.819 * * * * [misc]progress: [ 59 / 150 ] simplifiying candidate # 1537025744.820 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) 1)) 1537025744.820 * * [misc]simplify: iters left: 6 (13 enodes) 1537025744.823 * * [misc]simplify: iters left: 5 (21 enodes) 1537025744.828 * * [misc]simplify: iters left: 4 (34 enodes) 1537025744.834 * * [misc]simplify: iters left: 3 (39 enodes) 1537025744.839 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) 1537025744.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025744.839 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025744.841 * * [misc]simplify: iters left: 6 (17 enodes) 1537025744.845 * * [misc]simplify: iters left: 5 (26 enodes) 1537025744.853 * * [misc]simplify: iters left: 4 (33 enodes) 1537025744.863 * * [misc]simplify: iters left: 3 (36 enodes) 1537025744.876 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025744.876 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI n) 2))) (sqrt (sqrt k))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025744.876 * * * * [misc]progress: [ 60 / 150 ] simplifiying candidate # 1537025744.876 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow PI (- (/ k 2))))) 1537025744.878 * * [misc]simplify: iters left: 6 (14 enodes) 1537025744.883 * * [misc]simplify: iters left: 5 (24 enodes) 1537025744.888 * * [misc]simplify: iters left: 4 (33 enodes) 1537025744.895 * * [misc]simplify: iters left: 3 (44 enodes) 1537025744.901 * * [misc]simplify: iters left: 2 (46 enodes) 1537025744.908 * * [misc]simplify: iters left: 1 (51 enodes) 1537025744.920 * [exit]simplify: Simplified to (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537025744.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537025744.920 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537025744.922 * * [misc]simplify: iters left: 6 (15 enodes) 1537025744.928 * * [misc]simplify: iters left: 5 (22 enodes) 1537025744.936 * * [misc]simplify: iters left: 4 (31 enodes) 1537025744.947 * * [misc]simplify: iters left: 3 (34 enodes) 1537025744.959 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1537025744.959 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow PI (- (/ k 2))) (sqrt (sqrt (* (* PI 2) n)))) (/ (sqrt (sqrt (* (* PI 2) n))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1537025744.959 * * * * [misc]progress: [ 61 / 150 ] simplifiying candidate # 1537025744.959 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025744.961 * * [misc]simplify: iters left: 6 (18 enodes) 1537025744.969 * * [misc]simplify: iters left: 5 (31 enodes) 1537025744.980 * * [misc]simplify: iters left: 4 (40 enodes) 1537025744.992 * * [misc]simplify: iters left: 3 (55 enodes) 1537025745.001 * * [misc]simplify: iters left: 2 (64 enodes) 1537025745.012 * * [misc]simplify: iters left: 1 (74 enodes) 1537025745.041 * [exit]simplify: Simplified to (* (sqrt (sqrt (* (* 2 n) PI))) (* (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537025745.041 * [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 (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025745.042 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.044 * * [misc]simplify: iters left: 6 (17 enodes) 1537025745.051 * * [misc]simplify: iters left: 5 (26 enodes) 1537025745.060 * * [misc]simplify: iters left: 4 (33 enodes) 1537025745.065 * * [misc]simplify: iters left: 3 (36 enodes) 1537025745.072 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537025745.072 * [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 (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537025745.072 * * * * [misc]progress: [ 62 / 150 ] simplifiying candidate # 1537025745.072 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.073 * * [misc]simplify: iters left: 6 (17 enodes) 1537025745.077 * * [misc]simplify: iters left: 5 (28 enodes) 1537025745.082 * * [misc]simplify: iters left: 4 (35 enodes) 1537025745.090 * * [misc]simplify: iters left: 3 (46 enodes) 1537025745.099 * * [misc]simplify: iters left: 2 (48 enodes) 1537025745.107 * * [misc]simplify: iters left: 1 (53 enodes) 1537025745.115 * [exit]simplify: Simplified to (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025745.115 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025745.115 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.116 * * [misc]simplify: iters left: 6 (17 enodes) 1537025745.120 * * [misc]simplify: iters left: 5 (26 enodes) 1537025745.125 * * [misc]simplify: iters left: 4 (33 enodes) 1537025745.132 * * [misc]simplify: iters left: 3 (36 enodes) 1537025745.146 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))) 1537025745.146 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* (* 2 n) PI) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k))))) 1537025745.146 * * * * [misc]progress: [ 63 / 150 ] simplifiying candidate # 1537025745.147 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 1)) 1537025745.148 * * [misc]simplify: iters left: 6 (10 enodes) 1537025745.152 * * [misc]simplify: iters left: 5 (16 enodes) 1537025745.157 * * [misc]simplify: iters left: 4 (22 enodes) 1537025745.161 * * [misc]simplify: iters left: 3 (26 enodes) 1537025745.164 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1537025745.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025745.164 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025745.165 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.169 * * [misc]simplify: iters left: 5 (25 enodes) 1537025745.174 * * [misc]simplify: iters left: 4 (32 enodes) 1537025745.179 * * [misc]simplify: iters left: 3 (35 enodes) 1537025745.189 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537025745.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025745.189 * * * * [misc]progress: [ 64 / 150 ] simplifiying candidate # 1537025745.189 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) 1) 1537025745.190 * * [misc]simplify: iters left: 6 (9 enodes) 1537025745.194 * * [misc]simplify: iters left: 5 (15 enodes) 1537025745.201 * * [misc]simplify: iters left: 4 (23 enodes) 1537025745.207 * * [misc]simplify: iters left: 3 (24 enodes) 1537025745.214 * [exit]simplify: Simplified to (sqrt (sqrt (* (* PI n) 2))) 1537025745.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025745.214 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025745.216 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.223 * * [misc]simplify: iters left: 5 (25 enodes) 1537025745.230 * * [misc]simplify: iters left: 4 (32 enodes) 1537025745.235 * * [misc]simplify: iters left: 3 (35 enodes) 1537025745.241 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))) 1537025745.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt (* n (* PI 2)))) (/ (sqrt k) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025745.241 * * * * [misc]progress: [ 65 / 150 ] simplifiying candidate # 1537025745.241 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) 1537025745.242 * * [misc]simplify: iters left: 6 (10 enodes) 1537025745.244 * * [misc]simplify: iters left: 5 (14 enodes) 1537025745.246 * * [misc]simplify: iters left: 4 (20 enodes) 1537025745.250 * * [misc]simplify: iters left: 3 (22 enodes) 1537025745.253 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1537025745.253 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025745.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537025745.254 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.258 * * [misc]simplify: iters left: 5 (27 enodes) 1537025745.267 * * [misc]simplify: iters left: 4 (34 enodes) 1537025745.279 * * [misc]simplify: iters left: 3 (45 enodes) 1537025745.294 * * [misc]simplify: iters left: 2 (47 enodes) 1537025745.305 * * [misc]simplify: iters left: 1 (52 enodes) 1537025745.321 * [exit]simplify: Simplified to (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))) 1537025745.321 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* 2 n) PI))) (sqrt k)) (* (pow (* n (* PI 2)) (- (/ k 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537025745.321 * * * * [misc]progress: [ 66 / 150 ] simplifiying candidate # 1537025745.321 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) 1)) 1537025745.322 * * [misc]simplify: iters left: 6 (12 enodes) 1537025745.327 * * [misc]simplify: iters left: 5 (20 enodes) 1537025745.336 * * [misc]simplify: iters left: 4 (33 enodes) 1537025745.346 * * [misc]simplify: iters left: 3 (38 enodes) 1537025745.357 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) 1537025745.357 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537025745.357 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537025745.359 * * [misc]simplify: iters left: 6 (13 enodes) 1537025745.364 * * [misc]simplify: iters left: 5 (18 enodes) 1537025745.371 * * [misc]simplify: iters left: 4 (22 enodes) 1537025745.378 * * [misc]simplify: iters left: 3 (24 enodes) 1537025745.386 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537025745.386 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* 2 (* PI n)))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537025745.386 * * * * [misc]progress: [ 67 / 150 ] simplifiying candidate # 1537025745.387 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537025745.388 * * [misc]simplify: iters left: 6 (15 enodes) 1537025745.395 * * [misc]simplify: iters left: 5 (23 enodes) 1537025745.402 * * [misc]simplify: iters left: 4 (28 enodes) 1537025745.412 * * [misc]simplify: iters left: 3 (35 enodes) 1537025745.421 * * [misc]simplify: iters left: 2 (38 enodes) 1537025745.432 * * [misc]simplify: iters left: 1 (42 enodes) 1537025745.437 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) 1537025745.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))))) 1537025745.437 * [enter]simplify: Simplifying (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* PI (* n 2)) (/ k 2))) 1537025745.438 * * [misc]simplify: iters left: 6 (13 enodes) 1537025745.440 * * [misc]simplify: iters left: 5 (18 enodes) 1537025745.443 * * [misc]simplify: iters left: 4 (22 enodes) 1537025745.447 * * [misc]simplify: iters left: 3 (24 enodes) 1537025745.451 * [exit]simplify: Simplified to (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))) 1537025745.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (sqrt (* (* PI 2) n))) (sqrt k)) (/ (sqrt (sqrt (* (* 2 n) PI))) (pow (* (* 2 n) PI) (/ k 2))))) 1537025745.451 * * * * [misc]progress: [ 68 / 150 ] simplifiying candidate # 1537025745.452 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025745.453 * * [misc]simplify: iters left: 6 (15 enodes) 1537025745.456 * * [misc]simplify: iters left: 5 (25 enodes) 1537025745.461 * * [misc]simplify: iters left: 4 (31 enodes) 1537025745.471 * * [misc]simplify: iters left: 3 (33 enodes) 1537025745.482 * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) 1537025745.482 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025745.482 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.483 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.486 * * [misc]simplify: iters left: 5 (23 enodes) 1537025745.490 * * [misc]simplify: iters left: 4 (27 enodes) 1537025745.494 * * [misc]simplify: iters left: 3 (28 enodes) 1537025745.499 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537025745.499 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1537025745.499 * * * * [misc]progress: [ 69 / 150 ] simplifiying candidate # 1537025745.500 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.500 * * [misc]simplify: iters left: 6 (14 enodes) 1537025745.503 * * [misc]simplify: iters left: 5 (22 enodes) 1537025745.509 * * [misc]simplify: iters left: 4 (28 enodes) 1537025745.515 * * [misc]simplify: iters left: 3 (29 enodes) 1537025745.525 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) 1537025745.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n (* PI 2)) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025745.526 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.527 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.534 * * [misc]simplify: iters left: 5 (23 enodes) 1537025745.541 * * [misc]simplify: iters left: 4 (27 enodes) 1537025745.545 * * [misc]simplify: iters left: 3 (28 enodes) 1537025745.550 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))) 1537025745.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* (* 2 n) PI) (- (/ k 2)))))))) 1537025745.550 * * * * [misc]progress: [ 70 / 150 ] simplifiying candidate # 1537025745.550 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) 1537025745.551 * * [misc]simplify: iters left: 6 (12 enodes) 1537025745.553 * * [misc]simplify: iters left: 5 (20 enodes) 1537025745.557 * * [misc]simplify: iters left: 4 (27 enodes) 1537025745.563 * * [misc]simplify: iters left: 3 (47 enodes) 1537025745.583 * * [misc]simplify: iters left: 2 (86 enodes) 1537025745.606 * * [misc]simplify: iters left: 1 (175 enodes) 1537025745.669 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025745.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025745.669 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025745.672 * * [misc]simplify: iters left: 6 (15 enodes) 1537025745.676 * * [misc]simplify: iters left: 5 (22 enodes) 1537025745.684 * * [misc]simplify: iters left: 4 (31 enodes) 1537025745.695 * * [misc]simplify: iters left: 3 (34 enodes) 1537025745.707 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537025745.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (/ (- k) 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537025745.707 * * * * [misc]progress: [ 71 / 150 ] simplifiying candidate # 1537025745.707 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025745.709 * * [misc]simplify: iters left: 6 (17 enodes) 1537025745.717 * * [misc]simplify: iters left: 5 (33 enodes) 1537025745.729 * * [misc]simplify: iters left: 4 (57 enodes) 1537025745.741 * * [misc]simplify: iters left: 3 (78 enodes) 1537025745.776 * * [misc]simplify: iters left: 2 (177 enodes) 1537025745.947 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) 1537025745.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025745.947 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.949 * * [misc]simplify: iters left: 6 (17 enodes) 1537025745.953 * * [misc]simplify: iters left: 5 (26 enodes) 1537025745.957 * * [misc]simplify: iters left: 4 (33 enodes) 1537025745.963 * * [misc]simplify: iters left: 3 (36 enodes) 1537025745.969 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537025745.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k))) (/ (cbrt (pow (* (* PI n) 2) (/ (- k) 2))) (cbrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537025745.969 * * * * [misc]progress: [ 72 / 150 ] simplifiying candidate # 1537025745.969 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025745.970 * * [misc]simplify: iters left: 6 (16 enodes) 1537025745.974 * * [misc]simplify: iters left: 5 (28 enodes) 1537025745.980 * * [misc]simplify: iters left: 4 (41 enodes) 1537025745.989 * * [misc]simplify: iters left: 3 (62 enodes) 1537025746.010 * * [misc]simplify: iters left: 2 (102 enodes) 1537025746.038 * * [misc]simplify: iters left: 1 (194 enodes) 1537025746.165 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1537025746.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025746.166 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.168 * * [misc]simplify: iters left: 6 (17 enodes) 1537025746.176 * * [misc]simplify: iters left: 5 (26 enodes) 1537025746.185 * * [misc]simplify: iters left: 4 (33 enodes) 1537025746.195 * * [misc]simplify: iters left: 3 (36 enodes) 1537025746.208 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))) 1537025746.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* PI n) 2) (/ (- k) 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (cbrt (sqrt k)))))) 1537025746.208 * * * * [misc]progress: [ 73 / 150 ] simplifiying candidate # 1537025746.209 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1537025746.210 * * [misc]simplify: iters left: 6 (7 enodes) 1537025746.213 * * [misc]simplify: iters left: 5 (13 enodes) 1537025746.219 * * [misc]simplify: iters left: 4 (22 enodes) 1537025746.226 * * [misc]simplify: iters left: 3 (24 enodes) 1537025746.231 * * [misc]simplify: iters left: 2 (29 enodes) 1537025746.239 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1537025746.239 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.239 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025746.240 * * [misc]simplify: iters left: 6 (16 enodes) 1537025746.244 * * [misc]simplify: iters left: 5 (25 enodes) 1537025746.249 * * [misc]simplify: iters left: 4 (32 enodes) 1537025746.256 * * [misc]simplify: iters left: 3 (35 enodes) 1537025746.262 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))) 1537025746.262 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (cbrt (sqrt k))))) 1537025746.262 * * * * [misc]progress: [ 74 / 150 ] simplifiying candidate # 1537025746.263 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) 1537025746.263 * * [misc]simplify: iters left: 6 (11 enodes) 1537025746.266 * * [misc]simplify: iters left: 5 (17 enodes) 1537025746.269 * * [misc]simplify: iters left: 4 (20 enodes) 1537025746.272 * * [misc]simplify: iters left: 3 (28 enodes) 1537025746.278 * * [misc]simplify: iters left: 2 (36 enodes) 1537025746.283 * * [misc]simplify: iters left: 1 (46 enodes) 1537025746.297 * [exit]simplify: Simplified to (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) 1537025746.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1537025746.298 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1537025746.299 * * [misc]simplify: iters left: 6 (15 enodes) 1537025746.306 * * [misc]simplify: iters left: 5 (22 enodes) 1537025746.313 * * [misc]simplify: iters left: 4 (31 enodes) 1537025746.318 * * [misc]simplify: iters left: 3 (34 enodes) 1537025746.324 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537025746.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- (/ k 2))) (sqrt (sqrt k))) (* (pow (* 2 n) (/ (- k) 2)) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537025746.325 * * * * [misc]progress: [ 75 / 150 ] simplifiying candidate # 1537025746.325 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.326 * * [misc]simplify: iters left: 6 (16 enodes) 1537025746.329 * * [misc]simplify: iters left: 5 (28 enodes) 1537025746.335 * * [misc]simplify: iters left: 4 (39 enodes) 1537025746.343 * * [misc]simplify: iters left: 3 (51 enodes) 1537025746.359 * * [misc]simplify: iters left: 2 (77 enodes) 1537025746.393 * * [misc]simplify: iters left: 1 (127 enodes) 1537025746.439 * [exit]simplify: Simplified to (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) 1537025746.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025746.440 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.442 * * [misc]simplify: iters left: 6 (17 enodes) 1537025746.449 * * [misc]simplify: iters left: 5 (26 enodes) 1537025746.458 * * [misc]simplify: iters left: 4 (33 enodes) 1537025746.468 * * [misc]simplify: iters left: 3 (36 enodes) 1537025746.480 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537025746.480 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k)))) (* (cbrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537025746.480 * * * * [misc]progress: [ 76 / 150 ] simplifiying candidate # 1537025746.480 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.482 * * [misc]simplify: iters left: 6 (15 enodes) 1537025746.485 * * [misc]simplify: iters left: 5 (25 enodes) 1537025746.490 * * [misc]simplify: iters left: 4 (34 enodes) 1537025746.496 * * [misc]simplify: iters left: 3 (43 enodes) 1537025746.504 * * [misc]simplify: iters left: 2 (51 enodes) 1537025746.511 * * [misc]simplify: iters left: 1 (61 enodes) 1537025746.525 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) 1537025746.525 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025746.525 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.526 * * [misc]simplify: iters left: 6 (17 enodes) 1537025746.530 * * [misc]simplify: iters left: 5 (26 enodes) 1537025746.534 * * [misc]simplify: iters left: 4 (33 enodes) 1537025746.540 * * [misc]simplify: iters left: 3 (36 enodes) 1537025746.546 * [exit]simplify: Simplified to (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))) 1537025746.546 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* (* n 2) PI) (- (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* (* PI 2) n) (- (/ k 2)))) (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k)))))) 1537025746.546 * * * * [misc]progress: [ 77 / 150 ] simplifiying candidate # 1537025746.547 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1537025746.547 * * [misc]simplify: iters left: 6 (6 enodes) 1537025746.548 * * [misc]simplify: iters left: 5 (10 enodes) 1537025746.551 * * [misc]simplify: iters left: 4 (16 enodes) 1537025746.555 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1537025746.555 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.556 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025746.558 * * [misc]simplify: iters left: 6 (16 enodes) 1537025746.565 * * [misc]simplify: iters left: 5 (25 enodes) 1537025746.574 * * [misc]simplify: iters left: 4 (32 enodes) 1537025746.584 * * [misc]simplify: iters left: 3 (35 enodes) 1537025746.597 * [exit]simplify: Simplified to (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))) 1537025746.597 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (* (sqrt (* n (* PI 2))) (pow (* n (* PI 2)) (- (/ k 2)))) (sqrt (sqrt k))))) 1537025746.598 * * * * [misc]progress: [ 78 / 150 ] simplifiying candidate # 1537025746.598 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow PI (- (/ k 2))))) 1537025746.599 * * [misc]simplify: iters left: 6 (9 enodes) 1537025746.604 * * [misc]simplify: iters left: 5 (15 enodes) 1537025746.608 * * [misc]simplify: iters left: 4 (16 enodes) 1537025746.614 * * [misc]simplify: iters left: 3 (20 enodes) 1537025746.620 * [exit]simplify: Simplified to (pow PI (- (/ k 2))) 1537025746.620 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1537025746.620 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1537025746.622 * * [misc]simplify: iters left: 6 (14 enodes) 1537025746.628 * * [misc]simplify: iters left: 5 (21 enodes) 1537025746.638 * * [misc]simplify: iters left: 4 (30 enodes) 1537025746.648 * * [misc]simplify: iters left: 3 (33 enodes) 1537025746.661 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))) 1537025746.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- (/ k 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* 2 n) (- (/ k 2))))))) 1537025746.661 * * * * [misc]progress: [ 79 / 150 ] simplifiying candidate # 1537025746.661 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.663 * * [misc]simplify: iters left: 6 (14 enodes) 1537025746.671 * * [misc]simplify: iters left: 5 (26 enodes) 1537025746.679 * * [misc]simplify: iters left: 4 (33 enodes) 1537025746.691 * * [misc]simplify: iters left: 3 (40 enodes) 1537025746.703 * * [misc]simplify: iters left: 2 (42 enodes) 1537025746.715 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1537025746.715 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025746.715 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.717 * * [misc]simplify: iters left: 6 (16 enodes) 1537025746.724 * * [misc]simplify: iters left: 5 (25 enodes) 1537025746.733 * * [misc]simplify: iters left: 4 (32 enodes) 1537025746.743 * * [misc]simplify: iters left: 3 (35 enodes) 1537025746.755 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537025746.755 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025746.755 * * * * [misc]progress: [ 80 / 150 ] simplifiying candidate # 1537025746.756 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.757 * * [misc]simplify: iters left: 6 (13 enodes) 1537025746.764 * * [misc]simplify: iters left: 5 (23 enodes) 1537025746.774 * * [misc]simplify: iters left: 4 (30 enodes) 1537025746.784 * * [misc]simplify: iters left: 3 (35 enodes) 1537025746.794 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) 1537025746.794 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025746.795 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025746.796 * * [misc]simplify: iters left: 6 (16 enodes) 1537025746.804 * * [misc]simplify: iters left: 5 (25 enodes) 1537025746.813 * * [misc]simplify: iters left: 4 (32 enodes) 1537025746.823 * * [misc]simplify: iters left: 3 (35 enodes) 1537025746.836 * [exit]simplify: Simplified to (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537025746.836 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* (* 2 PI) n) (/ (- k) 2))) (* (/ (sqrt (* n (* PI 2))) (sqrt k)) (sqrt (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025746.836 * * * * [misc]progress: [ 81 / 150 ] simplifiying candidate # 1537025746.836 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1537025746.837 * * [misc]simplify: iters left: 4 (3 enodes) 1537025746.838 * * [misc]simplify: iters left: 3 (5 enodes) 1537025746.839 * [exit]simplify: Simplified to 1 1537025746.839 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.839 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025746.841 * * [misc]simplify: iters left: 6 (15 enodes) 1537025746.848 * * [misc]simplify: iters left: 5 (24 enodes) 1537025746.856 * * [misc]simplify: iters left: 4 (31 enodes) 1537025746.867 * * [misc]simplify: iters left: 3 (34 enodes) 1537025746.879 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1537025746.879 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1537025746.879 * * * * [misc]progress: [ 82 / 150 ] simplifiying candidate # 1537025746.880 * [enter]simplify: Simplifying (/ 1 1) 1537025746.880 * * [misc]simplify: iters left: 2 (2 enodes) 1537025746.881 * * [misc]simplify: iters left: 1 (4 enodes) 1537025746.882 * [exit]simplify: Simplified to 1 1537025746.882 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.882 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025746.884 * * [misc]simplify: iters left: 6 (15 enodes) 1537025746.891 * * [misc]simplify: iters left: 5 (24 enodes) 1537025746.900 * * [misc]simplify: iters left: 4 (31 enodes) 1537025746.913 * * [misc]simplify: iters left: 3 (34 enodes) 1537025746.923 * [exit]simplify: Simplified to (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)) 1537025746.923 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) (sqrt k)))) 1537025746.923 * * * * [misc]progress: [ 83 / 150 ] simplifiying candidate # 1537025746.923 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1537025746.923 * * [misc]simplify: iters left: 3 (4 enodes) 1537025746.924 * * [misc]simplify: iters left: 2 (6 enodes) 1537025746.925 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537025746.925 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025746.925 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2))))) 1537025746.926 * * [misc]simplify: iters left: 6 (15 enodes) 1537025746.930 * * [misc]simplify: iters left: 5 (26 enodes) 1537025746.934 * * [misc]simplify: iters left: 4 (33 enodes) 1537025746.941 * * [misc]simplify: iters left: 3 (44 enodes) 1537025746.947 * * [misc]simplify: iters left: 2 (46 enodes) 1537025746.953 * * [misc]simplify: iters left: 1 (51 enodes) 1537025746.960 * [exit]simplify: Simplified to (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))) 1537025746.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* (* PI 2) n) (/ (- k) 2)) (sqrt (* (* PI 2) n))))) 1537025746.960 * * * * [misc]progress: [ 84 / 150 ] simplifiying candidate # 1537025746.960 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) 1)) 1537025746.961 * * [misc]simplify: iters left: 5 (5 enodes) 1537025746.962 * * [misc]simplify: iters left: 4 (9 enodes) 1537025746.965 * * [misc]simplify: iters left: 3 (15 enodes) 1537025746.969 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537025746.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1537025746.969 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1537025746.971 * * [misc]simplify: iters left: 6 (12 enodes) 1537025746.976 * * [misc]simplify: iters left: 5 (17 enodes) 1537025746.982 * * [misc]simplify: iters left: 4 (21 enodes) 1537025746.989 * * [misc]simplify: iters left: 3 (22 enodes) 1537025746.996 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1537025746.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1537025746.996 * * * * [misc]progress: [ 85 / 150 ] simplifiying candidate # 1537025746.996 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 0))) 1537025746.997 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.005 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.012 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.022 * * [misc]simplify: iters left: 3 (32 enodes) 1537025747.030 * * [misc]simplify: iters left: 2 (33 enodes) 1537025747.037 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1537025747.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))))) 1537025747.038 * [enter]simplify: Simplifying (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2))) 1537025747.039 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.044 * * [misc]simplify: iters left: 5 (17 enodes) 1537025747.050 * * [misc]simplify: iters left: 4 (21 enodes) 1537025747.057 * * [misc]simplify: iters left: 3 (22 enodes) 1537025747.064 * [exit]simplify: Simplified to (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))) 1537025747.064 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (/ (sqrt (* (* PI n) 2)) (pow (* (* PI n) 2) (/ k 2))))) 1537025747.064 * * * * [misc]progress: [ 86 / 150 ] simplifiying candidate # 1537025747.065 * * * * [misc]progress: [ 87 / 150 ] simplifiying candidate # 1537025747.065 * * * * [misc]progress: [ 88 / 150 ] simplifiying candidate # 1537025747.065 * * * * [misc]progress: [ 89 / 150 ] simplifiying candidate # 1537025747.065 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.066 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.071 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.078 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.086 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.095 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025747.095 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025747.095 * * * * [misc]progress: [ 90 / 150 ] simplifiying candidate # 1537025747.095 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.096 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.101 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.108 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.116 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.125 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025747.125 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025747.125 * * * * [misc]progress: [ 91 / 150 ] simplifiying candidate # 1537025747.125 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537025747.126 * * [misc]simplify: iters left: 6 (10 enodes) 1537025747.130 * * [misc]simplify: iters left: 5 (13 enodes) 1537025747.136 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1537025747.136 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1537025747.136 * * * * [misc]progress: [ 92 / 150 ] simplifiying candidate # 1537025747.136 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.140 * * [misc]simplify: iters left: 6 (13 enodes) 1537025747.146 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.153 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.161 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.170 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537025747.170 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537025747.170 * * * * [misc]progress: [ 93 / 150 ] simplifiying candidate # 1537025747.171 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.172 * * [misc]simplify: iters left: 6 (13 enodes) 1537025747.177 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.182 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.186 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.191 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537025747.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537025747.191 * * * * [misc]progress: [ 94 / 150 ] simplifiying candidate # 1537025747.191 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1537025747.192 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.195 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.198 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.202 * * [misc]simplify: iters left: 3 (25 enodes) 1537025747.206 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1537025747.206 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025747.206 * * * * [misc]progress: [ 95 / 150 ] simplifiying candidate # 1537025747.206 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1537025747.207 * * [misc]simplify: iters left: 6 (10 enodes) 1537025747.209 * * [misc]simplify: iters left: 5 (13 enodes) 1537025747.211 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1537025747.211 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow PI (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1537025747.211 * * * * [misc]progress: [ 96 / 150 ] simplifiying candidate # 1537025747.212 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.212 * * [misc]simplify: iters left: 6 (13 enodes) 1537025747.215 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.219 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.223 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.229 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537025747.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537025747.230 * * * * [misc]progress: [ 97 / 150 ] simplifiying candidate # 1537025747.230 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.231 * * [misc]simplify: iters left: 6 (13 enodes) 1537025747.237 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.244 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.252 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.260 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537025747.260 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))))) 1537025747.260 * * * * [misc]progress: [ 98 / 150 ] simplifiying candidate # 1537025747.260 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1537025747.261 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.263 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.267 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.270 * * [misc]simplify: iters left: 3 (25 enodes) 1537025747.275 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1537025747.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025747.275 * * * * [misc]progress: [ 99 / 150 ] simplifiying candidate # 1537025747.275 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1537025747.276 * * [misc]simplify: iters left: 6 (9 enodes) 1537025747.278 * * [misc]simplify: iters left: 5 (12 enodes) 1537025747.280 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1537025747.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow PI (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1537025747.280 * * * * [misc]progress: [ 100 / 150 ] simplifiying candidate # 1537025747.280 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.281 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.283 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.287 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.291 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.295 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025747.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025747.296 * * * * [misc]progress: [ 101 / 150 ] simplifiying candidate # 1537025747.296 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025747.296 * * [misc]simplify: iters left: 6 (12 enodes) 1537025747.299 * * [misc]simplify: iters left: 5 (18 enodes) 1537025747.303 * * [misc]simplify: iters left: 4 (24 enodes) 1537025747.307 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.312 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025747.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025747.313 * * * * [misc]progress: [ 102 / 150 ] simplifiying candidate # 1537025747.313 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1537025747.313 * * [misc]simplify: iters left: 6 (11 enodes) 1537025747.316 * * [misc]simplify: iters left: 5 (17 enodes) 1537025747.319 * * [misc]simplify: iters left: 4 (23 enodes) 1537025747.326 * * [misc]simplify: iters left: 3 (24 enodes) 1537025747.335 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1537025747.335 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ 1 1)) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537025747.335 * * * * [misc]progress: [ 103 / 150 ] simplifiying candidate # 1537025747.335 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1537025747.336 * * [misc]simplify: iters left: 6 (11 enodes) 1537025747.341 * * [misc]simplify: iters left: 5 (17 enodes) 1537025747.348 * * [misc]simplify: iters left: 4 (23 enodes) 1537025747.356 * * [misc]simplify: iters left: 3 (24 enodes) 1537025747.364 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1537025747.364 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) 1) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537025747.364 * * * * [misc]progress: [ 104 / 150 ] simplifiying candidate # 1537025747.364 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) 1537025747.365 * * [misc]simplify: iters left: 6 (11 enodes) 1537025747.370 * * [misc]simplify: iters left: 5 (19 enodes) 1537025747.377 * * [misc]simplify: iters left: 4 (25 enodes) 1537025747.385 * * [misc]simplify: iters left: 3 (26 enodes) 1537025747.393 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))) 1537025747.393 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- (/ k 2)))))) 1537025747.393 * * * * [misc]progress: [ 105 / 150 ] simplifiying candidate # 1537025747.394 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537025747.394 * * [misc]simplify: iters left: 5 (8 enodes) 1537025747.398 * * [misc]simplify: iters left: 4 (12 enodes) 1537025747.402 * * [misc]simplify: iters left: 3 (18 enodes) 1537025747.409 * * [misc]simplify: iters left: 2 (20 enodes) 1537025747.415 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537025747.415 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) 1)) (pow (* (* 2 n) PI) (/ k 2)))) 1537025747.415 * * * * [misc]progress: [ 106 / 150 ] simplifiying candidate # 1537025747.416 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1537025747.416 * * [misc]simplify: iters left: 5 (8 enodes) 1537025747.418 * * [misc]simplify: iters left: 4 (12 enodes) 1537025747.420 * * [misc]simplify: iters left: 3 (18 enodes) 1537025747.425 * * [misc]simplify: iters left: 2 (20 enodes) 1537025747.428 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1537025747.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) 0))) (pow (* (* 2 n) PI) (/ k 2)))) 1537025747.428 * * * * [misc]progress: [ 107 / 150 ] simplifiying candidate # 1537025747.428 * [enter]simplify: Simplifying (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025747.429 * * [misc]simplify: iters left: 6 (8 enodes) 1537025747.431 * * [misc]simplify: iters left: 5 (12 enodes) 1537025747.433 * * [misc]simplify: iters left: 4 (18 enodes) 1537025747.436 * * [misc]simplify: iters left: 3 (20 enodes) 1537025747.440 * [exit]simplify: Simplified to (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) 1537025747.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))))) 1537025747.440 * * * * [misc]progress: [ 108 / 150 ] simplifiying candidate # 1537025747.440 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537025747.440 * * [misc]simplify: iters left: 3 (4 enodes) 1537025747.441 * * [misc]simplify: iters left: 2 (5 enodes) 1537025747.442 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025747.442 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* 2 n)) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)))) 1537025747.442 * * * * [misc]progress: [ 109 / 150 ] simplifiying candidate # 1537025747.442 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1537025747.443 * * [misc]simplify: iters left: 6 (7 enodes) 1537025747.444 * * [misc]simplify: iters left: 5 (11 enodes) 1537025747.447 * * [misc]simplify: iters left: 4 (17 enodes) 1537025747.449 * * [misc]simplify: iters left: 3 (19 enodes) 1537025747.453 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537025747.453 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (sqrt (* (* 2 n) PI))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1537025747.453 * * * * [misc]progress: [ 110 / 150 ] simplifiying candidate # 1537025747.453 * * * * [misc]progress: [ 111 / 150 ] simplifiying candidate # 1537025747.453 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1537025747.453 * * [misc]simplify: iters left: 5 (9 enodes) 1537025747.455 * * [misc]simplify: iters left: 4 (15 enodes) 1537025747.458 * * [misc]simplify: iters left: 3 (21 enodes) 1537025747.462 * * [misc]simplify: iters left: 2 (22 enodes) 1537025747.466 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1537025747.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* (* 2 n) PI)) (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))) 1537025747.466 * * * * [misc]progress: [ 112 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 113 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 114 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 115 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 116 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 117 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 118 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 119 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 120 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 121 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 122 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 123 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 124 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 125 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 126 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 127 / 150 ] simplifiying candidate # 1537025747.466 * * * * [misc]progress: [ 128 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 129 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 130 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 131 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 132 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 133 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 134 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 135 / 150 ] simplifiying candidate # 1537025747.467 * * * * [misc]progress: [ 136 / 150 ] simplifiying candidate # 1537025747.467 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537025747.467 * * [misc]simplify: iters left: 3 (4 enodes) 1537025747.469 * * [misc]simplify: iters left: 2 (5 enodes) 1537025747.471 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025747.471 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt (* 2 n)) (sqrt PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.471 * * * * [misc]progress: [ 137 / 150 ] simplifiying candidate # 1537025747.471 * * * * [misc]progress: [ 138 / 150 ] simplifiying candidate # 1537025747.471 * * * * [misc]progress: [ 139 / 150 ] simplifiying candidate # 1537025747.471 * [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)))))))))))))) 1537025747.471 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025747.471 * * * * [misc]progress: [ 140 / 150 ] simplifiying candidate # 1537025747.472 * [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))))))) 1537025747.472 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025747.472 * * * * [misc]progress: [ 141 / 150 ] simplifiying candidate # 1537025747.472 * [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))))))) 1537025747.472 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025747.472 * * * * [misc]progress: [ 142 / 150 ] simplifiying candidate # 1537025747.472 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.473 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.475 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.480 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.485 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.490 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.490 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025747.490 * * * * [misc]progress: [ 143 / 150 ] simplifiying candidate # 1537025747.490 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.491 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.493 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.497 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.502 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.508 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.508 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025747.508 * * * * [misc]progress: [ 144 / 150 ] simplifiying candidate # 1537025747.508 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.508 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.511 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.517 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.522 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.528 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.528 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025747.528 * * * * [misc]progress: [ 145 / 150 ] simplifiying candidate # 1537025747.528 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.529 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.532 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.536 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.540 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.543 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.543 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.543 * * * * [misc]progress: [ 146 / 150 ] simplifiying candidate # 1537025747.543 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.543 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.545 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.547 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.549 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.552 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.552 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.552 * * * * [misc]progress: [ 147 / 150 ] simplifiying candidate # 1537025747.552 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025747.553 * * [misc]simplify: iters left: 4 (5 enodes) 1537025747.554 * * [misc]simplify: iters left: 3 (9 enodes) 1537025747.556 * * [misc]simplify: iters left: 2 (15 enodes) 1537025747.559 * * [misc]simplify: iters left: 1 (17 enodes) 1537025747.561 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025747.561 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (sqrt (* (* PI n) 2)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.561 * * * * [misc]progress: [ 148 / 150 ] simplifiying candidate # 1537025747.562 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) 1537025747.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.562 * * * * [misc]progress: [ 149 / 150 ] simplifiying candidate # 1537025747.562 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 3)) (pow n 2))) (- (+ (* +nan.0 (/ (* (sqrt 2) (pow PI 2)) n)) (- (* +nan.0 (* (sqrt 2) PI))))))) 1537025747.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.562 * * * * [misc]progress: [ 150 / 150 ] simplifiying candidate # 1537025747.562 * [enter]simplify: Simplifying (- (+ (* +nan.0 PI) (- (+ (* +nan.0 (/ (pow PI 3) (pow n 2))) (- (* +nan.0 (/ (pow PI 2) n))))))) 1537025747.562 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025747.562 * * * [misc]progress: adding candidates to table 1537025751.517 * * [misc]progress: iteration 3 / 4 1537025751.517 * * * [misc]progress: picking best candidate 1537025751.637 * * * * [misc]pick: Picked # 1537025751.637 * * * [misc]progress: localizing error 1537025751.652 * * * [misc]progress: generating rewritten candidates 1537025751.652 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2 1) 1537025751.675 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 1) 1537025751.699 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1537025751.779 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1537025751.855 * * * [misc]progress: generating series expansions 1537025751.855 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2 1) 1537025751.856 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537025751.856 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025751.856 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025751.856 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.856 * [misc]backup-simplify: Simplify 2 into 2 1537025751.856 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.856 * [misc]taylor: Taking taylor expansion of n in n 1537025751.856 * [misc]backup-simplify: Simplify 0 into 0 1537025751.856 * [misc]backup-simplify: Simplify 1 into 1 1537025751.856 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.856 * [misc]backup-simplify: Simplify PI into PI 1537025751.856 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025751.856 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.856 * [misc]backup-simplify: Simplify 2 into 2 1537025751.856 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.856 * [misc]taylor: Taking taylor expansion of n in n 1537025751.856 * [misc]backup-simplify: Simplify 0 into 0 1537025751.856 * [misc]backup-simplify: Simplify 1 into 1 1537025751.856 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.856 * [misc]backup-simplify: Simplify PI into PI 1537025751.856 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025751.856 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025751.856 * [misc]backup-simplify: Simplify 0 into 0 1537025751.857 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025751.858 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025751.858 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.859 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025751.859 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025751.859 * [misc]backup-simplify: Simplify 0 into 0 1537025751.860 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.861 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025751.861 * [misc]backup-simplify: Simplify 0 into 0 1537025751.863 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025751.864 * [misc]backup-simplify: Simplify 0 into 0 1537025751.865 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.867 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025751.867 * [misc]backup-simplify: Simplify 0 into 0 1537025751.869 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.871 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025751.871 * [misc]backup-simplify: Simplify 0 into 0 1537025751.874 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025751.876 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025751.876 * [misc]backup-simplify: Simplify 0 into 0 1537025751.876 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025751.877 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537025751.877 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025751.877 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025751.877 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.877 * [misc]backup-simplify: Simplify 2 into 2 1537025751.877 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.877 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.877 * [misc]backup-simplify: Simplify PI into PI 1537025751.877 * [misc]taylor: Taking taylor expansion of n in n 1537025751.877 * [misc]backup-simplify: Simplify 0 into 0 1537025751.877 * [misc]backup-simplify: Simplify 1 into 1 1537025751.877 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.877 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025751.877 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.877 * [misc]backup-simplify: Simplify 2 into 2 1537025751.877 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.877 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.877 * [misc]backup-simplify: Simplify PI into PI 1537025751.877 * [misc]taylor: Taking taylor expansion of n in n 1537025751.877 * [misc]backup-simplify: Simplify 0 into 0 1537025751.877 * [misc]backup-simplify: Simplify 1 into 1 1537025751.878 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.878 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.878 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.879 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025751.879 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025751.879 * [misc]backup-simplify: Simplify 0 into 0 1537025751.880 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.881 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025751.881 * [misc]backup-simplify: Simplify 0 into 0 1537025751.882 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.883 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.883 * [misc]backup-simplify: Simplify 0 into 0 1537025751.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.885 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.885 * [misc]backup-simplify: Simplify 0 into 0 1537025751.887 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.888 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.888 * [misc]backup-simplify: Simplify 0 into 0 1537025751.890 * [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 1537025751.892 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.892 * [misc]backup-simplify: Simplify 0 into 0 1537025751.892 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025751.892 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537025751.892 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025751.892 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025751.892 * [misc]taylor: Taking taylor expansion of -2 in n 1537025751.892 * [misc]backup-simplify: Simplify -2 into -2 1537025751.892 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.892 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.892 * [misc]backup-simplify: Simplify PI into PI 1537025751.892 * [misc]taylor: Taking taylor expansion of n in n 1537025751.892 * [misc]backup-simplify: Simplify 0 into 0 1537025751.892 * [misc]backup-simplify: Simplify 1 into 1 1537025751.893 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.893 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025751.893 * [misc]taylor: Taking taylor expansion of -2 in n 1537025751.893 * [misc]backup-simplify: Simplify -2 into -2 1537025751.893 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.893 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.893 * [misc]backup-simplify: Simplify PI into PI 1537025751.893 * [misc]taylor: Taking taylor expansion of n in n 1537025751.893 * [misc]backup-simplify: Simplify 0 into 0 1537025751.893 * [misc]backup-simplify: Simplify 1 into 1 1537025751.893 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.893 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025751.893 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025751.894 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025751.895 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025751.895 * [misc]backup-simplify: Simplify 0 into 0 1537025751.895 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.896 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025751.896 * [misc]backup-simplify: Simplify 0 into 0 1537025751.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.898 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.898 * [misc]backup-simplify: Simplify 0 into 0 1537025751.899 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.900 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.901 * [misc]backup-simplify: Simplify 0 into 0 1537025751.902 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.904 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.904 * [misc]backup-simplify: Simplify 0 into 0 1537025751.905 * [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 1537025751.907 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.907 * [misc]backup-simplify: Simplify 0 into 0 1537025751.907 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025751.907 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 1) 1537025751.908 * [misc]backup-simplify: Simplify (* (* 2 n) PI) into (* 2 (* n PI)) 1537025751.908 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025751.908 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025751.908 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.908 * [misc]backup-simplify: Simplify 2 into 2 1537025751.908 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.908 * [misc]taylor: Taking taylor expansion of n in n 1537025751.908 * [misc]backup-simplify: Simplify 0 into 0 1537025751.908 * [misc]backup-simplify: Simplify 1 into 1 1537025751.908 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.908 * [misc]backup-simplify: Simplify PI into PI 1537025751.908 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025751.908 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.908 * [misc]backup-simplify: Simplify 2 into 2 1537025751.908 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.908 * [misc]taylor: Taking taylor expansion of n in n 1537025751.908 * [misc]backup-simplify: Simplify 0 into 0 1537025751.908 * [misc]backup-simplify: Simplify 1 into 1 1537025751.908 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.908 * [misc]backup-simplify: Simplify PI into PI 1537025751.908 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025751.908 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025751.908 * [misc]backup-simplify: Simplify 0 into 0 1537025751.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025751.909 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025751.910 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.910 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025751.911 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025751.911 * [misc]backup-simplify: Simplify 0 into 0 1537025751.912 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.913 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025751.913 * [misc]backup-simplify: Simplify 0 into 0 1537025751.915 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.916 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025751.916 * [misc]backup-simplify: Simplify 0 into 0 1537025751.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025751.920 * [misc]backup-simplify: Simplify 0 into 0 1537025751.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.924 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025751.924 * [misc]backup-simplify: Simplify 0 into 0 1537025751.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025751.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025751.928 * [misc]backup-simplify: Simplify 0 into 0 1537025751.929 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025751.929 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 n)) PI) into (* 2 (/ PI n)) 1537025751.929 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025751.929 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025751.929 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.929 * [misc]backup-simplify: Simplify 2 into 2 1537025751.929 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.929 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.929 * [misc]backup-simplify: Simplify PI into PI 1537025751.929 * [misc]taylor: Taking taylor expansion of n in n 1537025751.929 * [misc]backup-simplify: Simplify 0 into 0 1537025751.929 * [misc]backup-simplify: Simplify 1 into 1 1537025751.929 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.929 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025751.929 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.929 * [misc]backup-simplify: Simplify 2 into 2 1537025751.929 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.929 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.929 * [misc]backup-simplify: Simplify PI into PI 1537025751.929 * [misc]taylor: Taking taylor expansion of n in n 1537025751.929 * [misc]backup-simplify: Simplify 0 into 0 1537025751.929 * [misc]backup-simplify: Simplify 1 into 1 1537025751.930 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.930 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.933 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025751.934 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025751.934 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025751.934 * [misc]backup-simplify: Simplify 0 into 0 1537025751.935 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.936 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025751.936 * [misc]backup-simplify: Simplify 0 into 0 1537025751.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.938 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.938 * [misc]backup-simplify: Simplify 0 into 0 1537025751.939 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.940 * [misc]backup-simplify: Simplify 0 into 0 1537025751.941 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.943 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.943 * [misc]backup-simplify: Simplify 0 into 0 1537025751.944 * [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 1537025751.946 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.946 * [misc]backup-simplify: Simplify 0 into 0 1537025751.947 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025751.947 * [misc]backup-simplify: Simplify (* (* 2 (/ 1 (- n))) PI) into (* -2 (/ PI n)) 1537025751.947 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025751.947 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025751.947 * [misc]taylor: Taking taylor expansion of -2 in n 1537025751.947 * [misc]backup-simplify: Simplify -2 into -2 1537025751.947 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.947 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.947 * [misc]backup-simplify: Simplify PI into PI 1537025751.947 * [misc]taylor: Taking taylor expansion of n in n 1537025751.947 * [misc]backup-simplify: Simplify 0 into 0 1537025751.947 * [misc]backup-simplify: Simplify 1 into 1 1537025751.947 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.947 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025751.947 * [misc]taylor: Taking taylor expansion of -2 in n 1537025751.947 * [misc]backup-simplify: Simplify -2 into -2 1537025751.947 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025751.947 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.947 * [misc]backup-simplify: Simplify PI into PI 1537025751.947 * [misc]taylor: Taking taylor expansion of n in n 1537025751.947 * [misc]backup-simplify: Simplify 0 into 0 1537025751.947 * [misc]backup-simplify: Simplify 1 into 1 1537025751.948 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025751.948 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025751.948 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025751.949 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025751.950 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025751.950 * [misc]backup-simplify: Simplify 0 into 0 1537025751.952 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.953 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025751.953 * [misc]backup-simplify: Simplify 0 into 0 1537025751.954 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.956 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025751.956 * [misc]backup-simplify: Simplify 0 into 0 1537025751.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.960 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025751.961 * [misc]backup-simplify: Simplify 0 into 0 1537025751.963 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025751.965 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025751.966 * [misc]backup-simplify: Simplify 0 into 0 1537025751.968 * [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 1537025751.972 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025751.972 * [misc]backup-simplify: Simplify 0 into 0 1537025751.973 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025751.973 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1537025751.974 * [misc]backup-simplify: Simplify (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) 1537025751.974 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in (k n) around 0 1537025751.974 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in n 1537025751.974 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in n 1537025751.974 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537025751.974 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025751.974 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.974 * [misc]backup-simplify: Simplify 2 into 2 1537025751.974 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025751.974 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025751.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537025751.974 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025751.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025751.975 * [misc]taylor: Taking taylor expansion of k in n 1537025751.975 * [misc]backup-simplify: Simplify k into k 1537025751.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.975 * [misc]backup-simplify: Simplify 2 into 2 1537025751.975 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.975 * [misc]taylor: Taking taylor expansion of n in n 1537025751.975 * [misc]backup-simplify: Simplify 0 into 0 1537025751.975 * [misc]backup-simplify: Simplify 1 into 1 1537025751.975 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.975 * [misc]backup-simplify: Simplify PI into PI 1537025751.975 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025751.975 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025751.976 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025751.976 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025751.977 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025751.977 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025751.977 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025751.977 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025751.978 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537025751.978 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537025751.979 * [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)))) 1537025751.979 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))))) 1537025751.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in n 1537025751.979 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in n 1537025751.979 * [misc]taylor: Taking taylor expansion of k in n 1537025751.979 * [misc]backup-simplify: Simplify k into k 1537025751.979 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.979 * [misc]taylor: Taking taylor expansion of n in n 1537025751.979 * [misc]backup-simplify: Simplify 0 into 0 1537025751.979 * [misc]backup-simplify: Simplify 1 into 1 1537025751.979 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.979 * [misc]backup-simplify: Simplify PI into PI 1537025751.980 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025751.980 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025751.980 * [misc]backup-simplify: Simplify (/ k PI) into (/ k PI) 1537025751.980 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025751.980 * [misc]backup-simplify: Simplify (/ (/ k PI) (* 2 (sqrt 0))) into (* +nan.0 (/ k PI)) 1537025751.980 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k 1537025751.980 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k 1537025751.980 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537025751.980 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025751.980 * [misc]taylor: Taking taylor expansion of 2 in k 1537025751.981 * [misc]backup-simplify: Simplify 2 into 2 1537025751.981 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025751.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025751.981 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025751.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025751.981 * [misc]taylor: Taking taylor expansion of k in k 1537025751.981 * [misc]backup-simplify: Simplify 0 into 0 1537025751.981 * [misc]backup-simplify: Simplify 1 into 1 1537025751.981 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of 2 in k 1537025751.981 * [misc]backup-simplify: Simplify 2 into 2 1537025751.981 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025751.981 * [misc]taylor: Taking taylor expansion of n in k 1537025751.981 * [misc]backup-simplify: Simplify n into n 1537025751.981 * [misc]taylor: Taking taylor expansion of PI in k 1537025751.981 * [misc]backup-simplify: Simplify PI into PI 1537025751.981 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025751.981 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025751.981 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025751.981 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025751.981 * [misc]backup-simplify: Simplify (- 0) into 0 1537025751.982 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537025751.982 * [misc]backup-simplify: Simplify (- 0) into 0 1537025751.982 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025751.982 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537025751.983 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537025751.983 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025751.983 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025751.983 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537025751.983 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025751.984 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025751.984 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025751.984 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1537025751.984 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1537025751.984 * [misc]taylor: Taking taylor expansion of k in k 1537025751.984 * [misc]backup-simplify: Simplify 0 into 0 1537025751.984 * [misc]backup-simplify: Simplify 1 into 1 1537025751.984 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025751.984 * [misc]taylor: Taking taylor expansion of n in k 1537025751.984 * [misc]backup-simplify: Simplify n into n 1537025751.984 * [misc]taylor: Taking taylor expansion of PI in k 1537025751.984 * [misc]backup-simplify: Simplify PI into PI 1537025751.984 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025751.984 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537025751.984 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025751.984 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537025751.984 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) (sqrt (/ k (* n PI)))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k))))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of 2 in k 1537025751.985 * [misc]backup-simplify: Simplify 2 into 2 1537025751.985 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025751.985 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025751.985 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025751.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025751.985 * [misc]taylor: Taking taylor expansion of k in k 1537025751.985 * [misc]backup-simplify: Simplify 0 into 0 1537025751.985 * [misc]backup-simplify: Simplify 1 into 1 1537025751.985 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of 2 in k 1537025751.985 * [misc]backup-simplify: Simplify 2 into 2 1537025751.985 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025751.985 * [misc]taylor: Taking taylor expansion of n in k 1537025751.985 * [misc]backup-simplify: Simplify n into n 1537025751.985 * [misc]taylor: Taking taylor expansion of PI in k 1537025751.985 * [misc]backup-simplify: Simplify PI into PI 1537025751.985 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025751.985 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025751.985 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025751.985 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025751.986 * [misc]backup-simplify: Simplify (- 0) into 0 1537025751.986 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537025751.986 * [misc]backup-simplify: Simplify (- 0) into 0 1537025751.986 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025751.986 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537025751.987 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537025751.987 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025751.987 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025751.988 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537025751.988 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025751.988 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025751.988 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025751.988 * [misc]taylor: Taking taylor expansion of (sqrt (/ k (* n PI))) in k 1537025751.988 * [misc]taylor: Taking taylor expansion of (/ k (* n PI)) in k 1537025751.988 * [misc]taylor: Taking taylor expansion of k in k 1537025751.988 * [misc]backup-simplify: Simplify 0 into 0 1537025751.988 * [misc]backup-simplify: Simplify 1 into 1 1537025751.988 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025751.988 * [misc]taylor: Taking taylor expansion of n in k 1537025751.988 * [misc]backup-simplify: Simplify n into n 1537025751.988 * [misc]taylor: Taking taylor expansion of PI in k 1537025751.988 * [misc]backup-simplify: Simplify PI into PI 1537025751.988 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025751.988 * [misc]backup-simplify: Simplify (/ 1 (* n PI)) into (/ 1 (* n PI)) 1537025751.989 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025751.989 * [misc]backup-simplify: Simplify (/ (/ 1 (* n PI)) (* 2 (sqrt 0))) into (/ +nan.0 (* n PI)) 1537025751.989 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537025751.989 * [misc]taylor: Taking taylor expansion of 0 in n 1537025751.989 * [misc]backup-simplify: Simplify 0 into 0 1537025751.989 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI)))) 1537025751.990 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 1537025751.990 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 1537025751.991 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* n PI))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) 1537025751.991 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* n PI))))) in n 1537025751.991 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* n PI)))) in n 1537025751.991 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025751.991 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025751.991 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* n PI))) in n 1537025751.991 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537025751.991 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025751.991 * [misc]taylor: Taking taylor expansion of 2 in n 1537025751.991 * [misc]backup-simplify: Simplify 2 into 2 1537025751.991 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025751.992 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025751.992 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025751.992 * [misc]taylor: Taking taylor expansion of n in n 1537025751.992 * [misc]backup-simplify: Simplify 0 into 0 1537025751.992 * [misc]backup-simplify: Simplify 1 into 1 1537025751.992 * [misc]taylor: Taking taylor expansion of PI in n 1537025751.992 * [misc]backup-simplify: Simplify PI into PI 1537025751.992 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025751.992 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025751.993 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025751.993 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537025751.994 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) PI)) into (/ 1 (* (sqrt 2) PI)) 1537025751.994 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) PI))) into (/ +nan.0 (* (sqrt 2) PI)) 1537025751.995 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537025751.996 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1537025751.996 * [misc]backup-simplify: Simplify 0 into 0 1537025751.996 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025751.996 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))))) into 0 1537025751.997 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (/ +nan.0 (* (pow n 2) (pow PI 2))) 1537025751.997 * [misc]backup-simplify: Simplify (- 0) into 0 1537025751.998 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537025751.998 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537025751.999 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1537025752.000 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.000 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537025752.000 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.000 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537025752.002 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537025752.002 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.004 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 1537025752.006 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 1537025752.008 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) 1537025752.009 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))))) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))))) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.009 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.009 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.009 * [misc]backup-simplify: Simplify 2 into 2 1537025752.009 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.009 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.009 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of n in n 1537025752.009 * [misc]backup-simplify: Simplify 0 into 0 1537025752.009 * [misc]backup-simplify: Simplify 1 into 1 1537025752.009 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.009 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.009 * [misc]backup-simplify: Simplify PI into PI 1537025752.009 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.010 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.010 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537025752.011 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025752.011 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 2))) into (/ 1 (* (sqrt 2) (pow PI 2))) 1537025752.011 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))))) in n 1537025752.011 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI)))) in n 1537025752.011 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.011 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.011 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* n PI))) in n 1537025752.011 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.012 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.012 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.012 * [misc]backup-simplify: Simplify 2 into 2 1537025752.012 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.012 * [misc]taylor: Taking taylor expansion of n in n 1537025752.012 * [misc]backup-simplify: Simplify 0 into 0 1537025752.012 * [misc]backup-simplify: Simplify 1 into 1 1537025752.012 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.012 * [misc]backup-simplify: Simplify PI into PI 1537025752.012 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.012 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.013 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.013 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.013 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.013 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537025752.013 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.013 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.014 * [misc]backup-simplify: Simplify 2 into 2 1537025752.014 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.014 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.014 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.014 * [misc]taylor: Taking taylor expansion of n in n 1537025752.014 * [misc]backup-simplify: Simplify 0 into 0 1537025752.014 * [misc]backup-simplify: Simplify 1 into 1 1537025752.014 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.014 * [misc]backup-simplify: Simplify PI into PI 1537025752.014 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.015 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.015 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.015 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.016 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537025752.017 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.018 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)) 1537025752.019 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.020 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.021 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537025752.022 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537025752.027 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537025752.029 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 2))))) into 0 1537025752.030 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) into (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI))) 1537025752.031 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537025752.034 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537025752.037 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537025752.039 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) into (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1537025752.041 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025752.042 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.045 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537025752.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) PI)) (/ 0 (* (sqrt 2) PI))))) into 0 1537025752.049 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) PI)))) into 0 1537025752.050 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.050 * [misc]backup-simplify: Simplify 0 into 0 1537025752.050 * [misc]backup-simplify: Simplify 0 into 0 1537025752.050 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.051 * [misc]backup-simplify: Simplify (- (/ 0 (* n PI)) (+ (* (/ 1 (* n PI)) (/ 0 (* n PI))) (* 0 (/ 0 (* n PI))))) into 0 1537025752.052 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 (* n PI)) (/ +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (/ +nan.0 (* (pow n 3) (pow PI 3))) 1537025752.052 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.052 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025752.053 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537025752.055 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1537025752.055 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.055 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.056 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025752.056 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.056 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537025752.058 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (pow (log (* 2 (* n PI))) 3)) 1537025752.058 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.060 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 1537025752.064 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 1537025752.068 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/2 (/ (log (* 2 (* n PI))) (sqrt 2))) (/ +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (/ (pow (log (* 2 (* n PI))) 2) (sqrt 2))) (/ +nan.0 (* n PI))) (* (* 1/48 (/ (pow (log (* 2 (* n PI))) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) 1537025752.068 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))))) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI)))) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.068 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.068 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 (* n PI))) 2) (* (sqrt 2) (* n PI))) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.068 * [misc]backup-simplify: Simplify 2 into 2 1537025752.068 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.068 * [misc]taylor: Taking taylor expansion of n in n 1537025752.068 * [misc]backup-simplify: Simplify 0 into 0 1537025752.068 * [misc]backup-simplify: Simplify 1 into 1 1537025752.068 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.068 * [misc]backup-simplify: Simplify PI into PI 1537025752.069 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.069 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.070 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.070 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.070 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.071 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537025752.071 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.071 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.071 * [misc]backup-simplify: Simplify 2 into 2 1537025752.071 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.071 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.071 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.071 * [misc]taylor: Taking taylor expansion of n in n 1537025752.071 * [misc]backup-simplify: Simplify 0 into 0 1537025752.071 * [misc]backup-simplify: Simplify 1 into 1 1537025752.071 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.071 * [misc]backup-simplify: Simplify PI into PI 1537025752.071 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.072 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.073 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537025752.073 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.073 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.074 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.074 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537025752.075 * [misc]backup-simplify: Simplify (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) into (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI)) 1537025752.075 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))))) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3))))) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.075 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.075 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.075 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.075 * [misc]backup-simplify: Simplify 2 into 2 1537025752.076 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.076 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.076 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537025752.076 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025752.076 * [misc]taylor: Taking taylor expansion of n in n 1537025752.076 * [misc]backup-simplify: Simplify 0 into 0 1537025752.076 * [misc]backup-simplify: Simplify 1 into 1 1537025752.076 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537025752.076 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.076 * [misc]backup-simplify: Simplify PI into PI 1537025752.076 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.076 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.076 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.077 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537025752.077 * [misc]backup-simplify: Simplify (* 1 (pow PI 3)) into (pow PI 3) 1537025752.078 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537025752.078 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (pow PI 3))) into (/ 1 (* (sqrt 2) (pow PI 3))) 1537025752.078 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.079 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.079 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (* n PI))) (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.079 * [misc]backup-simplify: Simplify 2 into 2 1537025752.079 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.079 * [misc]taylor: Taking taylor expansion of n in n 1537025752.079 * [misc]backup-simplify: Simplify 0 into 0 1537025752.079 * [misc]backup-simplify: Simplify 1 into 1 1537025752.079 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.079 * [misc]backup-simplify: Simplify PI into PI 1537025752.079 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.079 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.079 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.080 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.080 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.080 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537025752.080 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.080 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.080 * [misc]backup-simplify: Simplify 2 into 2 1537025752.081 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.081 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.081 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537025752.081 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.081 * [misc]taylor: Taking taylor expansion of n in n 1537025752.081 * [misc]backup-simplify: Simplify 0 into 0 1537025752.081 * [misc]backup-simplify: Simplify 1 into 1 1537025752.081 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.081 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.081 * [misc]backup-simplify: Simplify PI into PI 1537025752.081 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.081 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.082 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.082 * [misc]backup-simplify: Simplify (* 1 (pow PI 2)) into (pow PI 2) 1537025752.083 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025752.083 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.084 * [misc]backup-simplify: Simplify (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) into (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) 1537025752.085 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) into (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 1537025752.086 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.087 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.088 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537025752.088 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.088 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.089 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537025752.089 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025752.089 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025752.090 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537025752.091 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 3))) into 0 1537025752.091 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.093 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537025752.094 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537025752.098 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537025752.104 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (pow PI 3))) (/ 0 (* (sqrt 2) (pow PI 3)))) (* 0 (/ 0 (* (sqrt 2) (pow PI 3)))))) into 0 1537025752.107 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (pow PI 3)))))) into 0 1537025752.109 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025752.110 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025752.113 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.114 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.114 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.115 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 (pow PI 2))) into 0 1537025752.117 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537025752.121 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (pow PI 2))) (+ (* (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))) (/ 0 (* (sqrt 2) (pow PI 2)))))) into 0 1537025752.123 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log n) (log (* 2 PI))) (* (sqrt 2) (pow PI 2))))) into 0 1537025752.123 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025752.123 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.126 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log n) (log (* 2 PI))) 2) (* (sqrt 2) PI))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537025752.135 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537025752.144 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) 1537025752.162 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log n) 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (pow (log (* 2 PI)) 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log n) (log (* 2 PI))) (* (sqrt 2) PI)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log (* 2 PI)) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537025752.163 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (* (* 2 (/ 1 n)) PI))) into (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) 1537025752.163 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in (k n) around 0 1537025752.163 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in n 1537025752.163 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in n 1537025752.163 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537025752.163 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.163 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.163 * [misc]backup-simplify: Simplify 2 into 2 1537025752.164 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.164 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.164 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.164 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of k in n 1537025752.164 * [misc]backup-simplify: Simplify k into k 1537025752.164 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025752.164 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.164 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.164 * [misc]backup-simplify: Simplify 2 into 2 1537025752.165 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.165 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.165 * [misc]backup-simplify: Simplify PI into PI 1537025752.165 * [misc]taylor: Taking taylor expansion of n in n 1537025752.165 * [misc]backup-simplify: Simplify 0 into 0 1537025752.165 * [misc]backup-simplify: Simplify 1 into 1 1537025752.165 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.165 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.166 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.166 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025752.166 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025752.167 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.167 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.168 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.169 * [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)) 1537025752.170 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (sqrt 2))) 1537025752.170 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in n 1537025752.170 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in n 1537025752.170 * [misc]taylor: Taking taylor expansion of n in n 1537025752.170 * [misc]backup-simplify: Simplify 0 into 0 1537025752.170 * [misc]backup-simplify: Simplify 1 into 1 1537025752.170 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537025752.170 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.170 * [misc]backup-simplify: Simplify PI into PI 1537025752.170 * [misc]taylor: Taking taylor expansion of k in n 1537025752.170 * [misc]backup-simplify: Simplify k into k 1537025752.170 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537025752.171 * [misc]backup-simplify: Simplify (/ 1 (* PI k)) into (/ 1 (* PI k)) 1537025752.171 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.171 * [misc]backup-simplify: Simplify (/ (/ 1 (* PI k)) (* 2 (sqrt 0))) into (/ +nan.0 (* PI k)) 1537025752.171 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k 1537025752.171 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k 1537025752.171 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537025752.171 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.171 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.171 * [misc]backup-simplify: Simplify 2 into 2 1537025752.171 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.172 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.172 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.172 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.172 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of k in k 1537025752.172 * [misc]backup-simplify: Simplify 0 into 0 1537025752.172 * [misc]backup-simplify: Simplify 1 into 1 1537025752.172 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.172 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.172 * [misc]backup-simplify: Simplify 2 into 2 1537025752.172 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.172 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.172 * [misc]backup-simplify: Simplify PI into PI 1537025752.172 * [misc]taylor: Taking taylor expansion of n in k 1537025752.172 * [misc]backup-simplify: Simplify n into n 1537025752.173 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.173 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025752.173 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025752.173 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.173 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.173 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025752.174 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537025752.175 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537025752.175 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 1537025752.175 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1537025752.175 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1537025752.175 * [misc]taylor: Taking taylor expansion of n in k 1537025752.175 * [misc]backup-simplify: Simplify n into n 1537025752.175 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025752.175 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.175 * [misc]backup-simplify: Simplify PI into PI 1537025752.175 * [misc]taylor: Taking taylor expansion of k in k 1537025752.175 * [misc]backup-simplify: Simplify 0 into 0 1537025752.175 * [misc]backup-simplify: Simplify 1 into 1 1537025752.176 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025752.177 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025752.177 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1537025752.177 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.177 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1537025752.177 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n (* PI k)))) in k 1537025752.177 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))))) in k 1537025752.177 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537025752.177 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.177 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.177 * [misc]backup-simplify: Simplify 2 into 2 1537025752.178 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.178 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.178 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of k in k 1537025752.178 * [misc]backup-simplify: Simplify 0 into 0 1537025752.178 * [misc]backup-simplify: Simplify 1 into 1 1537025752.178 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.178 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.178 * [misc]backup-simplify: Simplify 2 into 2 1537025752.178 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.178 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.179 * [misc]backup-simplify: Simplify PI into PI 1537025752.179 * [misc]taylor: Taking taylor expansion of n in k 1537025752.179 * [misc]backup-simplify: Simplify n into n 1537025752.179 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.179 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025752.179 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025752.179 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.179 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.180 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025752.180 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537025752.181 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537025752.181 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 1537025752.181 * [misc]taylor: Taking taylor expansion of (sqrt (/ n (* PI k))) in k 1537025752.181 * [misc]taylor: Taking taylor expansion of (/ n (* PI k)) in k 1537025752.181 * [misc]taylor: Taking taylor expansion of n in k 1537025752.181 * [misc]backup-simplify: Simplify n into n 1537025752.181 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025752.181 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.181 * [misc]backup-simplify: Simplify PI into PI 1537025752.181 * [misc]taylor: Taking taylor expansion of k in k 1537025752.181 * [misc]backup-simplify: Simplify 0 into 0 1537025752.181 * [misc]backup-simplify: Simplify 1 into 1 1537025752.182 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025752.182 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025752.183 * [misc]backup-simplify: Simplify (/ n PI) into (/ n PI) 1537025752.183 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.183 * [misc]backup-simplify: Simplify (/ (/ n PI) (* 2 (sqrt 0))) into (* +nan.0 (/ n PI)) 1537025752.184 * [misc]backup-simplify: Simplify (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) 0) into 0 1537025752.184 * [misc]taylor: Taking taylor expansion of 0 in n 1537025752.184 * [misc]backup-simplify: Simplify 0 into 0 1537025752.184 * [misc]backup-simplify: Simplify 0 into 0 1537025752.184 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0 1537025752.186 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.187 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ n PI))) (* 0 0)) into (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))))) 1537025752.187 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))))) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)))) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.187 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.187 * [misc]taylor: Taking taylor expansion of (/ n (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI))) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of n in n 1537025752.187 * [misc]backup-simplify: Simplify 0 into 0 1537025752.187 * [misc]backup-simplify: Simplify 1 into 1 1537025752.187 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.187 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.187 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.187 * [misc]backup-simplify: Simplify 2 into 2 1537025752.187 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.187 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.187 * [misc]backup-simplify: Simplify PI into PI 1537025752.187 * [misc]taylor: Taking taylor expansion of n in n 1537025752.187 * [misc]backup-simplify: Simplify 0 into 0 1537025752.187 * [misc]backup-simplify: Simplify 1 into 1 1537025752.188 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.188 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.189 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.189 * [misc]taylor: Taking taylor expansion of k in n 1537025752.189 * [misc]backup-simplify: Simplify k into k 1537025752.190 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.190 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.191 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.192 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.193 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.193 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537025752.193 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.193 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.193 * [misc]backup-simplify: Simplify 2 into 2 1537025752.193 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.193 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.193 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.193 * [misc]backup-simplify: Simplify PI into PI 1537025752.194 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537025752.195 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537025752.196 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) 1537025752.196 * [misc]backup-simplify: Simplify 0 into 0 1537025752.197 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537025752.198 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)))) into 0 1537025752.199 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow n 2) (pow PI 2))) 1537025752.200 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.201 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0 1537025752.202 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.204 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))))) 1537025752.204 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.205 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.205 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2)))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of n in n 1537025752.205 * [misc]backup-simplify: Simplify 0 into 0 1537025752.205 * [misc]backup-simplify: Simplify 1 into 1 1537025752.205 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.205 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.205 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.205 * [misc]backup-simplify: Simplify 2 into 2 1537025752.205 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.205 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.205 * [misc]backup-simplify: Simplify PI into PI 1537025752.205 * [misc]taylor: Taking taylor expansion of n in n 1537025752.205 * [misc]backup-simplify: Simplify 0 into 0 1537025752.205 * [misc]backup-simplify: Simplify 1 into 1 1537025752.206 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.206 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.206 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.207 * [misc]taylor: Taking taylor expansion of k in n 1537025752.207 * [misc]backup-simplify: Simplify k into k 1537025752.207 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.208 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.209 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.209 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.210 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.210 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537025752.210 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.210 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.210 * [misc]backup-simplify: Simplify 2 into 2 1537025752.211 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.211 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.211 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.211 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.211 * [misc]backup-simplify: Simplify PI into PI 1537025752.211 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.212 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.213 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025752.215 * [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))) 1537025752.217 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) 1537025752.218 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI))) 1537025752.219 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) 1537025752.220 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) 1537025752.221 * [misc]backup-simplify: Simplify 0 into 0 1537025752.222 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025752.223 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537025752.225 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (/ (pow n 3) (pow PI 3))) 1537025752.225 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.226 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0 1537025752.229 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.231 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))))) 1537025752.231 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))))) in n 1537025752.231 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))))) in n 1537025752.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.231 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3)))) in n 1537025752.231 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of n in n 1537025752.232 * [misc]backup-simplify: Simplify 0 into 0 1537025752.232 * [misc]backup-simplify: Simplify 1 into 1 1537025752.232 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.232 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.232 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.232 * [misc]backup-simplify: Simplify 2 into 2 1537025752.232 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.232 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.232 * [misc]backup-simplify: Simplify PI into PI 1537025752.232 * [misc]taylor: Taking taylor expansion of n in n 1537025752.232 * [misc]backup-simplify: Simplify 0 into 0 1537025752.232 * [misc]backup-simplify: Simplify 1 into 1 1537025752.232 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.233 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.233 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.233 * [misc]taylor: Taking taylor expansion of k in n 1537025752.233 * [misc]backup-simplify: Simplify k into k 1537025752.234 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.235 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.235 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.236 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.237 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.237 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537025752.237 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.237 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.237 * [misc]backup-simplify: Simplify 2 into 2 1537025752.237 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.238 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.238 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537025752.238 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.238 * [misc]backup-simplify: Simplify PI into PI 1537025752.238 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.238 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.239 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.240 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537025752.240 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537025752.242 * [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))) 1537025752.244 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))) 1537025752.245 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537025752.246 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.247 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025752.250 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.251 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.252 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537025752.254 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.255 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0 1537025752.259 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537025752.260 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))) into 0 1537025752.260 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.261 * [misc]backup-simplify: Simplify 0 into 0 1537025752.261 * [misc]backup-simplify: Simplify 0 into 0 1537025752.262 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537025752.264 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537025752.267 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 4) (pow PI 4))) 1537025752.269 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.270 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))) into 0 1537025752.273 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.277 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))))) 1537025752.277 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.277 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.277 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4)))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of n in n 1537025752.277 * [misc]backup-simplify: Simplify 0 into 0 1537025752.277 * [misc]backup-simplify: Simplify 1 into 1 1537025752.277 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 4))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.277 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.277 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.277 * [misc]backup-simplify: Simplify 2 into 2 1537025752.277 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.277 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.277 * [misc]backup-simplify: Simplify PI into PI 1537025752.277 * [misc]taylor: Taking taylor expansion of n in n 1537025752.277 * [misc]backup-simplify: Simplify 0 into 0 1537025752.277 * [misc]backup-simplify: Simplify 1 into 1 1537025752.278 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.278 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.279 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.279 * [misc]taylor: Taking taylor expansion of k in n 1537025752.279 * [misc]backup-simplify: Simplify k into k 1537025752.280 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.281 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.281 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.282 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.283 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.283 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 4)) in n 1537025752.283 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.283 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.283 * [misc]backup-simplify: Simplify 2 into 2 1537025752.283 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.284 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537025752.284 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.284 * [misc]backup-simplify: Simplify PI into PI 1537025752.284 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.284 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.284 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.286 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537025752.286 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 4)) into (* (sqrt 2) (pow PI 4)) 1537025752.288 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 4))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4))) 1537025752.290 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 4)))) 1537025752.294 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2)))) 1537025752.296 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) 1537025752.298 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) 1537025752.300 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.301 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.302 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.304 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.310 * [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 1537025752.311 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025752.312 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537025752.314 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025752.316 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI)))) into 0 1537025752.321 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537025752.323 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537025752.323 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.323 * [misc]backup-simplify: Simplify 0 into 0 1537025752.323 * [misc]backup-simplify: Simplify 0 into 0 1537025752.324 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1537025752.327 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537025752.331 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 4) (pow PI 4))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (/ (pow n 5) (pow PI 5))) 1537025752.332 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.333 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))))) into 0 1537025752.336 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.341 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))))) 1537025752.341 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))))) in n 1537025752.341 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))))) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.342 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.342 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5)))) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of n in n 1537025752.342 * [misc]backup-simplify: Simplify 0 into 0 1537025752.342 * [misc]backup-simplify: Simplify 1 into 1 1537025752.342 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 5))) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.342 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.342 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.342 * [misc]backup-simplify: Simplify 2 into 2 1537025752.342 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.342 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.342 * [misc]backup-simplify: Simplify PI into PI 1537025752.342 * [misc]taylor: Taking taylor expansion of n in n 1537025752.342 * [misc]backup-simplify: Simplify 0 into 0 1537025752.342 * [misc]backup-simplify: Simplify 1 into 1 1537025752.343 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.343 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.344 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.344 * [misc]taylor: Taking taylor expansion of k in n 1537025752.344 * [misc]backup-simplify: Simplify k into k 1537025752.344 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.345 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.346 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.347 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.347 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.347 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 5)) in n 1537025752.347 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.347 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.348 * [misc]backup-simplify: Simplify 2 into 2 1537025752.348 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.348 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.348 * [misc]taylor: Taking taylor expansion of (pow PI 5) in n 1537025752.348 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.348 * [misc]backup-simplify: Simplify PI into PI 1537025752.348 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.348 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.349 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.349 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.350 * [misc]backup-simplify: Simplify (* (pow PI 2) (pow PI 2)) into (pow PI 4) 1537025752.351 * [misc]backup-simplify: Simplify (* PI (pow PI 4)) into (pow PI 5) 1537025752.352 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 5)) into (* (sqrt 2) (pow PI 5)) 1537025752.353 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 5))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5))) 1537025752.355 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 5)))) 1537025752.355 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.357 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.358 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537025752.359 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.360 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025752.363 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.364 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.365 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537025752.367 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.369 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537025752.374 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))))) into 0 1537025752.376 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0 1537025752.376 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.376 * [misc]backup-simplify: Simplify 0 into 0 1537025752.377 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.379 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025752.381 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.382 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025752.393 * [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 1537025752.394 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025752.395 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))))) into 0 1537025752.399 * [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 1537025752.401 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt 2) PI))))) into 0 1537025752.407 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (+ (* (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) (* 0 (/ 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))))) into 0 1537025752.409 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))))))) into 0 1537025752.409 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.409 * [misc]backup-simplify: Simplify 0 into 0 1537025752.409 * [misc]backup-simplify: Simplify 0 into 0 1537025752.411 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1537025752.414 * [misc]backup-simplify: Simplify (- (/ 0 PI) (+ (* (/ n PI) (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)) (* 0 (/ 0 PI)))) into 0 1537025752.419 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ (pow n 3) (pow PI 3))) 2) (+ (* 2 (* (* +nan.0 (/ n PI)) (* +nan.0 (/ (pow n 5) (pow PI 5))))) (* 2 (* (* +nan.0 (/ (pow n 2) (pow PI 2))) (* +nan.0 (/ (pow n 4) (pow PI 4))))))) (* 2 0)) into (* +nan.0 (/ (pow n 6) (pow PI 6))) 1537025752.421 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.422 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))))))) into 0 1537025752.426 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)))))) into 0 1537025752.433 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2))) (* +nan.0 (/ (pow n 6) (pow PI 6)))) (+ (* 0 (* +nan.0 (/ (pow n 5) (pow PI 5)))) (+ (* 0 (* +nan.0 (/ (pow n 4) (pow PI 4)))) (+ (* 0 (* +nan.0 (/ (pow n 3) (pow PI 3)))) (+ (* 0 (* +nan.0 (/ (pow n 2) (pow PI 2)))) (+ (* 0 (* +nan.0 (/ n PI))) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))))) 1537025752.433 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.434 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6)))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of n in n 1537025752.434 * [misc]backup-simplify: Simplify 0 into 0 1537025752.434 * [misc]backup-simplify: Simplify 1 into 1 1537025752.434 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 6))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.434 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.434 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.434 * [misc]backup-simplify: Simplify 2 into 2 1537025752.434 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.434 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.434 * [misc]backup-simplify: Simplify PI into PI 1537025752.434 * [misc]taylor: Taking taylor expansion of n in n 1537025752.434 * [misc]backup-simplify: Simplify 0 into 0 1537025752.434 * [misc]backup-simplify: Simplify 1 into 1 1537025752.435 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.435 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.436 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.436 * [misc]taylor: Taking taylor expansion of k in n 1537025752.436 * [misc]backup-simplify: Simplify k into k 1537025752.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.437 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.438 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.439 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.440 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.440 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 6)) in n 1537025752.440 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.440 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.440 * [misc]backup-simplify: Simplify 2 into 2 1537025752.440 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.440 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.440 * [misc]taylor: Taking taylor expansion of (pow PI 6) in n 1537025752.440 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.440 * [misc]backup-simplify: Simplify PI into PI 1537025752.440 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.441 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.441 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.441 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.442 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537025752.443 * [misc]backup-simplify: Simplify (* (pow PI 3) (pow PI 3)) into (pow PI 6) 1537025752.444 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 6)) into (* (sqrt 2) (pow PI 6)) 1537025752.446 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 6))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6))) 1537025752.448 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))) into (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 6)))) 1537025752.450 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))))) into (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3)))) 1537025752.453 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) (pow PI 3))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) 1537025752.455 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) 1537025752.463 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 3)))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) (pow PI 2)))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI))))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))))))))) 1537025752.464 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (* (* 2 (/ 1 (- n))) PI))) into (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) 1537025752.464 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in (k n) around 0 1537025752.464 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in n 1537025752.464 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025752.464 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025752.464 * [misc]taylor: Taking taylor expansion of -1 in n 1537025752.464 * [misc]backup-simplify: Simplify -1 into -1 1537025752.464 * [misc]taylor: Taking taylor expansion of k in n 1537025752.465 * [misc]backup-simplify: Simplify k into k 1537025752.465 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025752.465 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025752.465 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025752.465 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025752.465 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537025752.465 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025752.465 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.465 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.465 * [misc]backup-simplify: Simplify -2 into -2 1537025752.465 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.465 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.465 * [misc]backup-simplify: Simplify PI into PI 1537025752.465 * [misc]taylor: Taking taylor expansion of n in n 1537025752.465 * [misc]backup-simplify: Simplify 0 into 0 1537025752.465 * [misc]backup-simplify: Simplify 1 into 1 1537025752.466 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.466 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.467 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.467 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025752.467 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.468 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of k in n 1537025752.468 * [misc]backup-simplify: Simplify k into k 1537025752.468 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025752.468 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.468 * [misc]backup-simplify: Simplify -2 into -2 1537025752.468 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.468 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.468 * [misc]backup-simplify: Simplify PI into PI 1537025752.468 * [misc]taylor: Taking taylor expansion of n in n 1537025752.468 * [misc]backup-simplify: Simplify 0 into 0 1537025752.468 * [misc]backup-simplify: Simplify 1 into 1 1537025752.469 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.469 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.470 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025752.470 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025752.471 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.471 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025752.472 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025752.473 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025752.474 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.475 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025752.478 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025752.478 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025752.478 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025752.479 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.480 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025752.482 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.483 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025752.484 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025752.484 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in k 1537025752.484 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025752.484 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025752.484 * [misc]taylor: Taking taylor expansion of -1 in k 1537025752.484 * [misc]backup-simplify: Simplify -1 into -1 1537025752.484 * [misc]taylor: Taking taylor expansion of k in k 1537025752.484 * [misc]backup-simplify: Simplify 0 into 0 1537025752.484 * [misc]backup-simplify: Simplify 1 into 1 1537025752.484 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025752.485 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.485 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025752.485 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537025752.485 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537025752.485 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025752.485 * [misc]taylor: Taking taylor expansion of -2 in k 1537025752.485 * [misc]backup-simplify: Simplify -2 into -2 1537025752.485 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.485 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.485 * [misc]backup-simplify: Simplify PI into PI 1537025752.485 * [misc]taylor: Taking taylor expansion of n in k 1537025752.485 * [misc]backup-simplify: Simplify n into n 1537025752.485 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.486 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025752.486 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537025752.486 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025752.486 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537025752.487 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537025752.487 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.487 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of k in k 1537025752.487 * [misc]backup-simplify: Simplify 0 into 0 1537025752.487 * [misc]backup-simplify: Simplify 1 into 1 1537025752.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.487 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of -2 in k 1537025752.487 * [misc]backup-simplify: Simplify -2 into -2 1537025752.487 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.487 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.487 * [misc]backup-simplify: Simplify PI into PI 1537025752.487 * [misc]taylor: Taking taylor expansion of n in k 1537025752.487 * [misc]backup-simplify: Simplify n into n 1537025752.487 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.487 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025752.488 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025752.488 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.488 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025752.488 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537025752.488 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537025752.488 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537025752.489 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))))) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of -1 in k 1537025752.489 * [misc]backup-simplify: Simplify -1 into -1 1537025752.489 * [misc]taylor: Taking taylor expansion of k in k 1537025752.489 * [misc]backup-simplify: Simplify 0 into 0 1537025752.489 * [misc]backup-simplify: Simplify 1 into 1 1537025752.489 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025752.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.489 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025752.489 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of -2 in k 1537025752.489 * [misc]backup-simplify: Simplify -2 into -2 1537025752.489 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.489 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.489 * [misc]backup-simplify: Simplify PI into PI 1537025752.489 * [misc]taylor: Taking taylor expansion of n in k 1537025752.489 * [misc]backup-simplify: Simplify n into n 1537025752.490 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.490 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025752.490 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537025752.490 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025752.490 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537025752.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537025752.490 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of k in k 1537025752.490 * [misc]backup-simplify: Simplify 0 into 0 1537025752.490 * [misc]backup-simplify: Simplify 1 into 1 1537025752.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.490 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025752.490 * [misc]taylor: Taking taylor expansion of -2 in k 1537025752.490 * [misc]backup-simplify: Simplify -2 into -2 1537025752.490 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.491 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.491 * [misc]backup-simplify: Simplify PI into PI 1537025752.491 * [misc]taylor: Taking taylor expansion of n in k 1537025752.491 * [misc]backup-simplify: Simplify n into n 1537025752.491 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.491 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025752.491 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025752.491 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.491 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025752.491 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537025752.491 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537025752.492 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) 1537025752.492 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537025752.492 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.492 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.492 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537025752.492 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025752.492 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.492 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.492 * [misc]backup-simplify: Simplify -2 into -2 1537025752.492 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.492 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.492 * [misc]backup-simplify: Simplify PI into PI 1537025752.492 * [misc]taylor: Taking taylor expansion of n in n 1537025752.492 * [misc]backup-simplify: Simplify 0 into 0 1537025752.492 * [misc]backup-simplify: Simplify 1 into 1 1537025752.492 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.492 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.493 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.493 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025752.493 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.493 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.493 * [misc]backup-simplify: Simplify -2 into -2 1537025752.493 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.493 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.493 * [misc]backup-simplify: Simplify PI into PI 1537025752.493 * [misc]taylor: Taking taylor expansion of n in n 1537025752.493 * [misc]backup-simplify: Simplify 0 into 0 1537025752.493 * [misc]backup-simplify: Simplify 1 into 1 1537025752.493 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.494 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.494 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025752.494 * [misc]taylor: Taking taylor expansion of k in n 1537025752.494 * [misc]backup-simplify: Simplify k into k 1537025752.495 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.495 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.495 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537025752.496 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025752.496 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025752.497 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025752.498 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.498 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025752.500 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025752.500 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.501 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537025752.502 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.503 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025752.503 * [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))))) 1537025752.504 * [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))))) 1537025752.504 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025752.505 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025752.505 * [misc]backup-simplify: Simplify (+ (* (sqrt (* -2 (/ PI n))) 0) (* 0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into 0 1537025752.506 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (+ (* (/ +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ 0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))) 1537025752.506 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))))) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.506 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.506 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.506 * [misc]backup-simplify: Simplify -2 into -2 1537025752.506 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.506 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.506 * [misc]backup-simplify: Simplify PI into PI 1537025752.506 * [misc]taylor: Taking taylor expansion of n in n 1537025752.506 * [misc]backup-simplify: Simplify 0 into 0 1537025752.506 * [misc]backup-simplify: Simplify 1 into 1 1537025752.506 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.507 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.507 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.507 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025752.507 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.507 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.507 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of -2 in n 1537025752.507 * [misc]backup-simplify: Simplify -2 into -2 1537025752.507 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.507 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.507 * [misc]backup-simplify: Simplify PI into PI 1537025752.508 * [misc]taylor: Taking taylor expansion of n in n 1537025752.508 * [misc]backup-simplify: Simplify 0 into 0 1537025752.508 * [misc]backup-simplify: Simplify 1 into 1 1537025752.508 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.508 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025752.508 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025752.508 * [misc]taylor: Taking taylor expansion of k in n 1537025752.508 * [misc]backup-simplify: Simplify k into k 1537025752.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.509 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025752.510 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537025752.510 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025752.511 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025752.511 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025752.512 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.512 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025752.514 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025752.515 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.515 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537025752.517 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.518 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025752.519 * [misc]backup-simplify: Simplify (/ 1 (- (* +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))))) 1537025752.520 * [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))))) 1537025752.521 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) 1537025752.522 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) into (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) 1537025752.524 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.525 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.531 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2 PI) 1)))) 2) into 0 1537025752.532 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025752.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025752.536 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025752.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.538 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025752.540 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025752.542 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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)))))) 1537025752.547 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))) (/ (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025752.548 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025752.554 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k))))))))) 1537025752.554 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1537025752.555 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) into (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) 1537025752.555 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in (k n) around 0 1537025752.555 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in n 1537025752.555 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in n 1537025752.555 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.555 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.555 * [misc]backup-simplify: Simplify 2 into 2 1537025752.555 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.556 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.556 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.556 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.556 * [misc]taylor: Taking taylor expansion of k in n 1537025752.556 * [misc]backup-simplify: Simplify k into k 1537025752.556 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.556 * [misc]backup-simplify: Simplify 2 into 2 1537025752.556 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.556 * [misc]taylor: Taking taylor expansion of n in n 1537025752.556 * [misc]backup-simplify: Simplify 0 into 0 1537025752.556 * [misc]backup-simplify: Simplify 1 into 1 1537025752.556 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.556 * [misc]backup-simplify: Simplify PI into PI 1537025752.557 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.557 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.557 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.558 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.559 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.559 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1537025752.559 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1537025752.560 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.561 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log n) (log (* 2 PI)))) into (* -1/2 (* (+ (log n) (log (* 2 PI))) k)) 1537025752.562 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) into (exp (* -1/2 (* (+ (log n) (log (* 2 PI))) k))) 1537025752.562 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in n 1537025752.562 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in n 1537025752.562 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.562 * [misc]taylor: Taking taylor expansion of n in n 1537025752.562 * [misc]backup-simplify: Simplify 0 into 0 1537025752.562 * [misc]backup-simplify: Simplify 1 into 1 1537025752.562 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.562 * [misc]backup-simplify: Simplify PI into PI 1537025752.562 * [misc]taylor: Taking taylor expansion of k in n 1537025752.562 * [misc]backup-simplify: Simplify k into k 1537025752.562 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.563 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.563 * [misc]backup-simplify: Simplify (/ PI k) into (/ PI k) 1537025752.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.564 * [misc]backup-simplify: Simplify (/ (/ PI k) (* 2 (sqrt 0))) into (* +nan.0 (/ PI k)) 1537025752.564 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537025752.564 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537025752.564 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.564 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.564 * [misc]backup-simplify: Simplify 2 into 2 1537025752.564 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.564 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537025752.564 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025752.564 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.565 * [misc]taylor: Taking taylor expansion of k in k 1537025752.565 * [misc]backup-simplify: Simplify 0 into 0 1537025752.565 * [misc]backup-simplify: Simplify 1 into 1 1537025752.565 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.565 * [misc]backup-simplify: Simplify 2 into 2 1537025752.565 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025752.565 * [misc]taylor: Taking taylor expansion of n in k 1537025752.565 * [misc]backup-simplify: Simplify n into n 1537025752.565 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.565 * [misc]backup-simplify: Simplify PI into PI 1537025752.565 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025752.565 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025752.565 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025752.566 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025752.566 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.566 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537025752.566 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.567 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025752.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537025752.568 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537025752.568 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025752.569 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.569 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537025752.569 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025752.569 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537025752.569 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537025752.569 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025752.569 * [misc]taylor: Taking taylor expansion of n in k 1537025752.569 * [misc]backup-simplify: Simplify n into n 1537025752.569 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.569 * [misc]backup-simplify: Simplify PI into PI 1537025752.569 * [misc]taylor: Taking taylor expansion of k in k 1537025752.569 * [misc]backup-simplify: Simplify 0 into 0 1537025752.569 * [misc]backup-simplify: Simplify 1 into 1 1537025752.570 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025752.570 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537025752.570 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.570 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537025752.570 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) (sqrt (/ (* n PI) k))) in k 1537025752.570 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (* n PI)) (- (* 1/2 k)))) in k 1537025752.570 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.570 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.570 * [misc]backup-simplify: Simplify 2 into 2 1537025752.571 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.571 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.571 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- (* 1/2 k))) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 (* n PI))))) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 (* n PI)))) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.571 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.571 * [misc]taylor: Taking taylor expansion of k in k 1537025752.571 * [misc]backup-simplify: Simplify 0 into 0 1537025752.571 * [misc]backup-simplify: Simplify 1 into 1 1537025752.571 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.571 * [misc]backup-simplify: Simplify 2 into 2 1537025752.571 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025752.571 * [misc]taylor: Taking taylor expansion of n in k 1537025752.571 * [misc]backup-simplify: Simplify n into n 1537025752.571 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.571 * [misc]backup-simplify: Simplify PI into PI 1537025752.571 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025752.572 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1537025752.572 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1537025752.572 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1537025752.572 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.572 * [misc]backup-simplify: Simplify (* 0 (log (* 2 (* n PI)))) into 0 1537025752.573 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.573 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025752.573 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1537025752.575 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1537025752.575 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1537025752.575 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.575 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1537025752.575 * [misc]backup-simplify: Simplify (exp 0) into 1 1537025752.575 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* n PI) k)) in k 1537025752.575 * [misc]taylor: Taking taylor expansion of (/ (* n PI) k) in k 1537025752.576 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1537025752.576 * [misc]taylor: Taking taylor expansion of n in k 1537025752.576 * [misc]backup-simplify: Simplify n into n 1537025752.576 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.576 * [misc]backup-simplify: Simplify PI into PI 1537025752.576 * [misc]taylor: Taking taylor expansion of k in k 1537025752.576 * [misc]backup-simplify: Simplify 0 into 0 1537025752.576 * [misc]backup-simplify: Simplify 1 into 1 1537025752.576 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1537025752.576 * [misc]backup-simplify: Simplify (/ (* n PI) 1) into (* n PI) 1537025752.576 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.576 * [misc]backup-simplify: Simplify (/ (* n PI) (* 2 (sqrt 0))) into (* +nan.0 (* n PI)) 1537025752.577 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025752.577 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.577 * [misc]taylor: Taking taylor expansion of 0 in n 1537025752.577 * [misc]backup-simplify: Simplify 0 into 0 1537025752.577 * [misc]backup-simplify: Simplify 0 into 0 1537025752.578 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (log (* 2 (* n PI)))) 1537025752.579 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 (* n PI))))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 1537025752.580 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* n PI))) (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (* n PI)))) 1537025752.580 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* n PI)))) in n 1537025752.580 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* n PI))) in n 1537025752.580 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.580 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.580 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* n PI)) in n 1537025752.580 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.580 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.580 * [misc]backup-simplify: Simplify 2 into 2 1537025752.580 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.580 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.580 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.580 * [misc]taylor: Taking taylor expansion of n in n 1537025752.580 * [misc]backup-simplify: Simplify 0 into 0 1537025752.580 * [misc]backup-simplify: Simplify 1 into 1 1537025752.580 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.580 * [misc]backup-simplify: Simplify PI into PI 1537025752.581 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.581 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.581 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025752.581 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.581 * [misc]backup-simplify: Simplify 0 into 0 1537025752.581 * [misc]backup-simplify: Simplify 0 into 0 1537025752.582 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1537025752.582 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)))) into 0 1537025752.583 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* n PI)) 2) (+)) (* 2 0)) into (* +nan.0 (* (pow n 2) (pow PI 2))) 1537025752.584 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.584 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.585 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1537025752.588 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1537025752.588 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.588 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1537025752.588 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.589 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1537025752.592 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 (* n PI))) 2)) 1537025752.593 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.595 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 1537025752.599 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* n PI))) (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) 1537025752.599 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))) in n 1537025752.599 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))))) in n 1537025752.599 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI)))) in n 1537025752.599 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.599 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.599 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* n PI))) in n 1537025752.599 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.599 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.599 * [misc]backup-simplify: Simplify 2 into 2 1537025752.600 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.600 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.600 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* n PI)) in n 1537025752.600 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.600 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.600 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.600 * [misc]backup-simplify: Simplify 2 into 2 1537025752.600 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.600 * [misc]taylor: Taking taylor expansion of n in n 1537025752.600 * [misc]backup-simplify: Simplify 0 into 0 1537025752.600 * [misc]backup-simplify: Simplify 1 into 1 1537025752.600 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.600 * [misc]backup-simplify: Simplify PI into PI 1537025752.601 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.601 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.601 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.602 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.603 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.603 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.603 * [misc]taylor: Taking taylor expansion of n in n 1537025752.603 * [misc]backup-simplify: Simplify 0 into 0 1537025752.603 * [misc]backup-simplify: Simplify 1 into 1 1537025752.603 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.603 * [misc]backup-simplify: Simplify PI into PI 1537025752.603 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))) in n 1537025752.603 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2)))) in n 1537025752.603 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.603 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.603 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 2) (pow PI 2))) in n 1537025752.603 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.603 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.603 * [misc]backup-simplify: Simplify 2 into 2 1537025752.604 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.604 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.604 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537025752.604 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.604 * [misc]taylor: Taking taylor expansion of n in n 1537025752.604 * [misc]backup-simplify: Simplify 0 into 0 1537025752.604 * [misc]backup-simplify: Simplify 1 into 1 1537025752.604 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.604 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.604 * [misc]backup-simplify: Simplify PI into PI 1537025752.605 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.605 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.606 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) 0) into 0 1537025752.606 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.606 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025752.606 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025752.607 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.607 * [misc]backup-simplify: Simplify 0 into 0 1537025752.607 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.608 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) PI) (* 0 0)) into (* (sqrt 2) PI) 1537025752.610 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025752.612 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025752.613 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1537025752.613 * [misc]backup-simplify: Simplify 0 into 0 1537025752.614 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.617 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 2) (pow PI 2))))))) (* 2 0)) into (* +nan.0 (* (pow n 3) (pow PI 3))) 1537025752.617 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.618 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025752.619 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1537025752.623 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1537025752.624 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.624 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.624 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025752.624 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.625 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1537025752.628 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (pow (log (* 2 (* n PI))) 3)) 1537025752.629 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.631 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 1537025752.640 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* n PI))) (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) 0)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))))) 1537025752.640 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))))) in n 1537025752.640 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))))) in n 1537025752.640 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow PI 3)))) in n 1537025752.640 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.640 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.640 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 3) (pow PI 3))) in n 1537025752.640 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.640 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.640 * [misc]backup-simplify: Simplify 2 into 2 1537025752.641 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.641 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.641 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537025752.641 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025752.641 * [misc]taylor: Taking taylor expansion of n in n 1537025752.641 * [misc]backup-simplify: Simplify 0 into 0 1537025752.641 * [misc]backup-simplify: Simplify 1 into 1 1537025752.641 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537025752.641 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.641 * [misc]backup-simplify: Simplify PI into PI 1537025752.641 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))))) in n 1537025752.641 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))))) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI)))) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.642 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.642 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* n PI))) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.642 * [misc]backup-simplify: Simplify 2 into 2 1537025752.642 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.642 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.642 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* n PI)) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.642 * [misc]backup-simplify: Simplify 2 into 2 1537025752.642 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.642 * [misc]taylor: Taking taylor expansion of n in n 1537025752.642 * [misc]backup-simplify: Simplify 0 into 0 1537025752.642 * [misc]backup-simplify: Simplify 1 into 1 1537025752.642 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.643 * [misc]backup-simplify: Simplify PI into PI 1537025752.643 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.643 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.644 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.644 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.645 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.646 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.646 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.646 * [misc]taylor: Taking taylor expansion of n in n 1537025752.646 * [misc]backup-simplify: Simplify 0 into 0 1537025752.646 * [misc]backup-simplify: Simplify 1 into 1 1537025752.646 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.646 * [misc]backup-simplify: Simplify PI into PI 1537025752.646 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))))) in n 1537025752.646 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))))) in n 1537025752.646 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.646 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.646 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2)))) in n 1537025752.646 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.646 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.646 * [misc]backup-simplify: Simplify 2 into 2 1537025752.646 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.647 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.647 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 2) (pow PI 2))) in n 1537025752.647 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.647 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.647 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.647 * [misc]backup-simplify: Simplify 2 into 2 1537025752.647 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.647 * [misc]taylor: Taking taylor expansion of n in n 1537025752.647 * [misc]backup-simplify: Simplify 0 into 0 1537025752.647 * [misc]backup-simplify: Simplify 1 into 1 1537025752.647 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.647 * [misc]backup-simplify: Simplify PI into PI 1537025752.647 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.648 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.648 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.649 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.650 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.650 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537025752.650 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.650 * [misc]taylor: Taking taylor expansion of n in n 1537025752.650 * [misc]backup-simplify: Simplify 0 into 0 1537025752.650 * [misc]backup-simplify: Simplify 1 into 1 1537025752.650 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.650 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.650 * [misc]backup-simplify: Simplify PI into PI 1537025752.651 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.651 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.653 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537025752.653 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.654 * [misc]backup-simplify: Simplify (* (pow (+ (log n) (log (* 2 PI))) 2) 0) into 0 1537025752.654 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.655 * [misc]backup-simplify: Simplify 0 into 0 1537025752.656 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.657 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.658 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025752.659 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025752.663 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.664 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) PI) (* 0 0)) into (+ (* PI (log (* 2 PI))) (* PI (log n))) 1537025752.665 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* PI (log (* 2 PI))) (* PI (log n)))) (* 0 0)) into (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI))))) 1537025752.668 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (log n))) (* (sqrt 2) (* PI (log (* 2 PI)))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1537025752.671 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1537025752.675 * [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)))))))) 1537025752.678 * [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)))))))) 1537025752.679 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025752.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.682 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 PI) (* 0 0))) into 0 1537025752.684 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) PI)) (* 0 0))) into 0 1537025752.684 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.684 * [misc]backup-simplify: Simplify 0 into 0 1537025752.684 * [misc]backup-simplify: Simplify 0 into 0 1537025752.686 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025752.686 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* n PI) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.690 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (* (pow n 2) (pow PI 2))) 2) (+ (* 2 (* (* +nan.0 (* n PI)) (* +nan.0 (* (pow n 3) (pow PI 3))))))) (* 2 0)) into (* +nan.0 (* (pow n 4) (pow PI 4))) 1537025752.690 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.692 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025752.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI)))))) into 0 1537025752.703 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 (* n PI)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 (* n PI)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 (* n PI)) 1)))) 24) into 0 1537025752.704 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.704 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.704 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.704 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537025752.705 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.705 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI)))))))) into 0 1537025752.712 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 4) 24)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow (log (* 2 (* n PI))) 4)) 1537025752.714 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.718 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/384 (pow (log (* 2 (* n PI))) 4))) (+ (* 0 (* -1/48 (pow (log (* 2 (* n PI))) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 (* n PI))) 2))) (+ (* 0 (* -1/2 (log (* 2 (* n PI))))) (* 0 1))))) into (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4))) 1537025752.732 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (* (pow n 4) (pow PI 4)))) (+ (* (- (* 1/2 (* (sqrt 2) (log (* 2 (* n PI)))))) (* +nan.0 (* (pow n 3) (pow PI 3)))) (+ (* (* 1/8 (* (sqrt 2) (pow (log (* 2 (* n PI))) 2))) (* +nan.0 (* (pow n 2) (pow PI 2)))) (+ (* (- (* 1/48 (* (sqrt 2) (pow (log (* 2 (* n PI))) 3)))) (* +nan.0 (* n PI))) (* (* 1/384 (* (sqrt 2) (pow (log (* 2 (* n PI))) 4))) 0))))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))))) 1537025752.733 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))))) in n 1537025752.733 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))))) in n 1537025752.733 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI)))) in n 1537025752.733 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.733 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.733 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 3) (* n PI))) in n 1537025752.733 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.733 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.733 * [misc]backup-simplify: Simplify 2 into 2 1537025752.733 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.734 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.734 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 3) (* n PI)) in n 1537025752.734 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 3) in n 1537025752.734 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.734 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.734 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.734 * [misc]backup-simplify: Simplify 2 into 2 1537025752.734 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.734 * [misc]taylor: Taking taylor expansion of n in n 1537025752.734 * [misc]backup-simplify: Simplify 0 into 0 1537025752.734 * [misc]backup-simplify: Simplify 1 into 1 1537025752.734 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.734 * [misc]backup-simplify: Simplify PI into PI 1537025752.734 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.734 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.736 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.736 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.737 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.737 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.737 * [misc]taylor: Taking taylor expansion of n in n 1537025752.737 * [misc]backup-simplify: Simplify 0 into 0 1537025752.737 * [misc]backup-simplify: Simplify 1 into 1 1537025752.737 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.737 * [misc]backup-simplify: Simplify PI into PI 1537025752.737 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))))) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))))) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow n 4) (pow PI 4)))) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.738 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.738 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow n 4) (pow PI 4))) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.738 * [misc]backup-simplify: Simplify 2 into 2 1537025752.738 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.738 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.738 * [misc]taylor: Taking taylor expansion of (* (pow n 4) (pow PI 4)) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of n in n 1537025752.738 * [misc]backup-simplify: Simplify 0 into 0 1537025752.738 * [misc]backup-simplify: Simplify 1 into 1 1537025752.738 * [misc]taylor: Taking taylor expansion of (pow PI 4) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.738 * [misc]backup-simplify: Simplify PI into PI 1537025752.738 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))))) in n 1537025752.738 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))))) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))))) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.739 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.739 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2)))) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.739 * [misc]backup-simplify: Simplify 2 into 2 1537025752.739 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.739 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.739 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 (* n PI))) 2) (* (pow n 2) (pow PI 2))) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.739 * [misc]backup-simplify: Simplify 2 into 2 1537025752.739 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.739 * [misc]taylor: Taking taylor expansion of n in n 1537025752.739 * [misc]backup-simplify: Simplify 0 into 0 1537025752.739 * [misc]backup-simplify: Simplify 1 into 1 1537025752.739 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.739 * [misc]backup-simplify: Simplify PI into PI 1537025752.740 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.740 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.741 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.741 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.742 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.743 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.743 * [misc]taylor: Taking taylor expansion of (* (pow n 2) (pow PI 2)) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of n in n 1537025752.743 * [misc]backup-simplify: Simplify 0 into 0 1537025752.743 * [misc]backup-simplify: Simplify 1 into 1 1537025752.743 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.743 * [misc]backup-simplify: Simplify PI into PI 1537025752.743 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))))) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))))) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.743 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.743 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3)))) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.743 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.743 * [misc]backup-simplify: Simplify 2 into 2 1537025752.744 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.744 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.744 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (* (pow n 3) (pow PI 3))) in n 1537025752.744 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1537025752.744 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025752.744 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.744 * [misc]backup-simplify: Simplify 2 into 2 1537025752.744 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025752.744 * [misc]taylor: Taking taylor expansion of n in n 1537025752.744 * [misc]backup-simplify: Simplify 0 into 0 1537025752.744 * [misc]backup-simplify: Simplify 1 into 1 1537025752.744 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.744 * [misc]backup-simplify: Simplify PI into PI 1537025752.744 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.745 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025752.745 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.746 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025752.747 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.747 * [misc]taylor: Taking taylor expansion of (* (pow n 3) (pow PI 3)) in n 1537025752.747 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025752.747 * [misc]taylor: Taking taylor expansion of n in n 1537025752.747 * [misc]backup-simplify: Simplify 0 into 0 1537025752.747 * [misc]backup-simplify: Simplify 1 into 1 1537025752.747 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537025752.747 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.747 * [misc]backup-simplify: Simplify PI into PI 1537025752.748 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.748 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.749 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.751 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1537025752.752 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (+ (log n) (log (* 2 PI))) 2)) into (pow (+ (log n) (log (* 2 PI))) 3) 1537025752.753 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025752.754 * [misc]backup-simplify: Simplify (* (pow (+ (log n) (log (* 2 PI))) 3) 0) into 0 1537025752.754 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025752.754 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025752.754 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1537025752.754 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.754 * [misc]backup-simplify: Simplify 0 into 0 1537025752.755 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025752.756 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.757 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025752.758 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025752.761 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.762 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1537025752.764 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1537025752.766 * [misc]backup-simplify: Simplify (+ (* (pow (+ (log n) (log (* 2 PI))) 2) PI) (* 0 0)) into (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2)))) 1537025752.771 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 2 (* PI (* (log n) (log (* 2 PI))))) (+ (* PI (pow (log (* 2 PI)) 2)) (* PI (pow (log n) 2))))) (* 0 0)) into (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))) 1537025752.778 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (sqrt 2) (* PI (pow (log n) 2))) (+ (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2))) (* 2 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.789 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 0) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.800 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.810 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.821 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI)))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.834 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) 1537025752.852 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log n) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (pow (log (* 2 PI)) 2)))) (- (* +nan.0 (* (sqrt 2) (* PI (* (log n) (log (* 2 PI))))))))))) (* n (pow k 2))) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2)))))))))))))))))) 1537025752.853 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- (/ (/ 1 k) 2)))) (sqrt (* (* 2 (/ 1 n)) PI)))) into (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) 1537025752.853 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in (k n) around 0 1537025752.853 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in n 1537025752.853 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in n 1537025752.853 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.853 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.854 * [misc]backup-simplify: Simplify 2 into 2 1537025752.854 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.854 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.854 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025752.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of k in n 1537025752.854 * [misc]backup-simplify: Simplify k into k 1537025752.854 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025752.854 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.854 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.855 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.855 * [misc]backup-simplify: Simplify 2 into 2 1537025752.855 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.855 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.855 * [misc]backup-simplify: Simplify PI into PI 1537025752.855 * [misc]taylor: Taking taylor expansion of n in n 1537025752.855 * [misc]backup-simplify: Simplify 0 into 0 1537025752.855 * [misc]backup-simplify: Simplify 1 into 1 1537025752.855 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.855 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.856 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.856 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025752.856 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1537025752.857 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.858 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.858 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.858 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in n 1537025752.858 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in n 1537025752.858 * [misc]taylor: Taking taylor expansion of (* PI k) in n 1537025752.858 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.859 * [misc]backup-simplify: Simplify PI into PI 1537025752.859 * [misc]taylor: Taking taylor expansion of k in n 1537025752.859 * [misc]backup-simplify: Simplify k into k 1537025752.859 * [misc]taylor: Taking taylor expansion of n in n 1537025752.859 * [misc]backup-simplify: Simplify 0 into 0 1537025752.859 * [misc]backup-simplify: Simplify 1 into 1 1537025752.859 * [misc]backup-simplify: Simplify (* PI k) into (* PI k) 1537025752.859 * [misc]backup-simplify: Simplify (/ (* PI k) 1) into (* PI k) 1537025752.859 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.859 * [misc]backup-simplify: Simplify (/ (* PI k) (* 2 (sqrt 0))) into (* +nan.0 (* PI k)) 1537025752.859 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537025752.859 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.860 * [misc]backup-simplify: Simplify 2 into 2 1537025752.860 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.860 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.860 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.860 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.860 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of k in k 1537025752.860 * [misc]backup-simplify: Simplify 0 into 0 1537025752.860 * [misc]backup-simplify: Simplify 1 into 1 1537025752.860 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.860 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025752.860 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.861 * [misc]backup-simplify: Simplify 2 into 2 1537025752.861 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.861 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.861 * [misc]backup-simplify: Simplify PI into PI 1537025752.861 * [misc]taylor: Taking taylor expansion of n in k 1537025752.861 * [misc]backup-simplify: Simplify n into n 1537025752.861 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.861 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025752.861 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025752.861 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.861 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.862 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025752.862 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537025752.862 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537025752.862 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537025752.862 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025752.862 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.862 * [misc]backup-simplify: Simplify PI into PI 1537025752.862 * [misc]taylor: Taking taylor expansion of k in k 1537025752.862 * [misc]backup-simplify: Simplify 0 into 0 1537025752.862 * [misc]backup-simplify: Simplify 1 into 1 1537025752.862 * [misc]taylor: Taking taylor expansion of n in k 1537025752.862 * [misc]backup-simplify: Simplify n into n 1537025752.863 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025752.864 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025752.864 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.864 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.864 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537025752.865 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) (sqrt (/ (* PI k) n))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k))))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.865 * [misc]backup-simplify: Simplify 2 into 2 1537025752.865 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.865 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.865 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- (* 1/2 (/ 1 k)))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025752.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025752.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025752.865 * [misc]taylor: Taking taylor expansion of k in k 1537025752.865 * [misc]backup-simplify: Simplify 0 into 0 1537025752.865 * [misc]backup-simplify: Simplify 1 into 1 1537025752.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025752.866 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1537025752.866 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1537025752.866 * [misc]taylor: Taking taylor expansion of 2 in k 1537025752.866 * [misc]backup-simplify: Simplify 2 into 2 1537025752.866 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025752.866 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.866 * [misc]backup-simplify: Simplify PI into PI 1537025752.866 * [misc]taylor: Taking taylor expansion of n in k 1537025752.866 * [misc]backup-simplify: Simplify n into n 1537025752.866 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.866 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1537025752.866 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1537025752.866 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025752.867 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1537025752.867 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1537025752.867 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) into (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) 1537025752.867 * [misc]taylor: Taking taylor expansion of (sqrt (/ (* PI k) n)) in k 1537025752.867 * [misc]taylor: Taking taylor expansion of (/ (* PI k) n) in k 1537025752.867 * [misc]taylor: Taking taylor expansion of (* PI k) in k 1537025752.867 * [misc]taylor: Taking taylor expansion of PI in k 1537025752.867 * [misc]backup-simplify: Simplify PI into PI 1537025752.867 * [misc]taylor: Taking taylor expansion of k in k 1537025752.867 * [misc]backup-simplify: Simplify 0 into 0 1537025752.867 * [misc]backup-simplify: Simplify 1 into 1 1537025752.867 * [misc]taylor: Taking taylor expansion of n in k 1537025752.867 * [misc]backup-simplify: Simplify n into n 1537025752.868 * [misc]backup-simplify: Simplify (* PI 0) into 0 1537025752.869 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1537025752.869 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025752.869 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025752.869 * [misc]backup-simplify: Simplify (/ (/ PI n) (* 2 (sqrt 0))) into (* +nan.0 (/ PI n)) 1537025752.870 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))) into (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 1537025752.870 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) 0) into 0 1537025752.870 * [misc]taylor: Taking taylor expansion of 0 in n 1537025752.870 * [misc]backup-simplify: Simplify 0 into 0 1537025752.871 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))) into 0 1537025752.872 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ PI n))) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n))) 1537025752.872 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n))) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n)) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.872 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.872 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) n) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) PI)) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.872 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.872 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.872 * [misc]backup-simplify: Simplify 2 into 2 1537025752.872 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.872 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.872 * [misc]backup-simplify: Simplify PI into PI 1537025752.872 * [misc]taylor: Taking taylor expansion of n in n 1537025752.872 * [misc]backup-simplify: Simplify 0 into 0 1537025752.872 * [misc]backup-simplify: Simplify 1 into 1 1537025752.873 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.873 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.874 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.874 * [misc]taylor: Taking taylor expansion of k in n 1537025752.874 * [misc]backup-simplify: Simplify k into k 1537025752.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.876 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.877 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.877 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) PI) in n 1537025752.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.878 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.878 * [misc]backup-simplify: Simplify 2 into 2 1537025752.878 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.878 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.878 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.878 * [misc]backup-simplify: Simplify PI into PI 1537025752.878 * [misc]taylor: Taking taylor expansion of n in n 1537025752.878 * [misc]backup-simplify: Simplify 0 into 0 1537025752.878 * [misc]backup-simplify: Simplify 1 into 1 1537025752.879 * [misc]backup-simplify: Simplify (* (sqrt 2) PI) into (* (sqrt 2) PI) 1537025752.880 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (* (sqrt 2) PI)) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537025752.881 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) 1537025752.882 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) into (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI))) 1537025752.883 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) 1537025752.884 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) 1537025752.884 * [misc]backup-simplify: Simplify 0 into 0 1537025752.885 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 1) (* 0 0))) into 0 1537025752.886 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025752.887 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (/ PI n)) 2) (+)) (* 2 0)) into (* +nan.0 (/ (pow PI 2) (pow n 2))) 1537025752.888 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.889 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k)))))) into 0 1537025752.891 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)))) 1537025752.891 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)))) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2))) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.891 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.891 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) (pow n 2)) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 2))) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.891 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.891 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.891 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.892 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.892 * [misc]backup-simplify: Simplify 2 into 2 1537025752.892 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.892 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.892 * [misc]backup-simplify: Simplify PI into PI 1537025752.892 * [misc]taylor: Taking taylor expansion of n in n 1537025752.892 * [misc]backup-simplify: Simplify 0 into 0 1537025752.892 * [misc]backup-simplify: Simplify 1 into 1 1537025752.892 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.892 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.893 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.893 * [misc]taylor: Taking taylor expansion of k in n 1537025752.893 * [misc]backup-simplify: Simplify k into k 1537025752.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.895 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.896 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.897 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.897 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 2)) in n 1537025752.897 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.897 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.897 * [misc]backup-simplify: Simplify 2 into 2 1537025752.897 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.897 * [misc]taylor: Taking taylor expansion of (pow PI 2) in n 1537025752.897 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.897 * [misc]backup-simplify: Simplify PI into PI 1537025752.897 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025752.898 * [misc]taylor: Taking taylor expansion of n in n 1537025752.898 * [misc]backup-simplify: Simplify 0 into 0 1537025752.898 * [misc]backup-simplify: Simplify 1 into 1 1537025752.898 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.899 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 2)) into (* (sqrt 2) (pow PI 2)) 1537025752.900 * [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))) 1537025752.901 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.902 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) 1537025752.903 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.904 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 2))) into 0 1537025752.906 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.906 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025752.909 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.910 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.911 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537025752.913 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.915 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 2)))) into 0 1537025752.915 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.918 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)))) into 0 1537025752.920 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))))) into 0 1537025752.920 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.920 * [misc]backup-simplify: Simplify 0 into 0 1537025752.921 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 PI)) into 0 1537025752.922 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025752.926 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.926 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.927 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537025752.929 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.930 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) PI))) into 0 1537025752.932 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)) (/ 0 1)))) into 0 1537025752.933 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) PI)))) into 0 1537025752.933 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.933 * [misc]backup-simplify: Simplify 0 into 0 1537025752.933 * [misc]backup-simplify: Simplify 0 into 0 1537025752.934 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025752.934 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537025752.936 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 (/ PI n)) (* +nan.0 (/ (pow PI 2) (pow n 2))))))) (* 2 0)) into (* +nan.0 (/ (pow PI 3) (pow n 3))) 1537025752.936 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025752.937 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))))))) into 0 1537025752.940 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (sqrt 2)) (* +nan.0 (/ (pow PI 3) (pow n 3)))) (+ (* 0 (* +nan.0 (/ (pow PI 2) (pow n 2)))) (+ (* 0 (* +nan.0 (/ PI n))) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)))) 1537025752.940 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)))) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3))) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025752.940 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025752.940 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) (pow n 3)) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) (* (sqrt 2) (pow PI 3))) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (* 2 (/ PI n))) k))) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (* 2 (/ PI n))) k)) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of -1/2 in n 1537025752.940 * [misc]backup-simplify: Simplify -1/2 into -1/2 1537025752.940 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 (/ PI n))) k) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.940 * [misc]backup-simplify: Simplify 2 into 2 1537025752.940 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025752.940 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.940 * [misc]backup-simplify: Simplify PI into PI 1537025752.940 * [misc]taylor: Taking taylor expansion of n in n 1537025752.940 * [misc]backup-simplify: Simplify 0 into 0 1537025752.940 * [misc]backup-simplify: Simplify 1 into 1 1537025752.941 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025752.941 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025752.941 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1537025752.941 * [misc]taylor: Taking taylor expansion of k in n 1537025752.941 * [misc]backup-simplify: Simplify k into k 1537025752.942 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.943 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1537025752.943 * [misc]backup-simplify: Simplify (/ (- (log (* 2 PI)) (log n)) k) into (/ (- (log (* 2 PI)) (log n)) k) 1537025752.944 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) into (* -1/2 (/ (- (log (* 2 PI)) (log n)) k)) 1537025752.945 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) into (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 1537025752.945 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI 3)) in n 1537025752.945 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025752.945 * [misc]taylor: Taking taylor expansion of 2 in n 1537025752.945 * [misc]backup-simplify: Simplify 2 into 2 1537025752.945 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025752.945 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025752.945 * [misc]taylor: Taking taylor expansion of (pow PI 3) in n 1537025752.945 * [misc]taylor: Taking taylor expansion of PI in n 1537025752.945 * [misc]backup-simplify: Simplify PI into PI 1537025752.945 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025752.945 * [misc]taylor: Taking taylor expansion of n in n 1537025752.945 * [misc]backup-simplify: Simplify 0 into 0 1537025752.945 * [misc]backup-simplify: Simplify 1 into 1 1537025752.946 * [misc]backup-simplify: Simplify (* PI PI) into (pow PI 2) 1537025752.946 * [misc]backup-simplify: Simplify (* PI (pow PI 2)) into (pow PI 3) 1537025752.947 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI 3)) into (* (sqrt 2) (pow PI 3)) 1537025752.949 * [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))) 1537025752.949 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.949 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025752.951 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) 1537025752.952 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.953 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 PI)) into 0 1537025752.954 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537025752.956 * [misc]backup-simplify: Simplify (+ (* PI 0) (* 0 (pow PI 2))) into 0 1537025752.957 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.958 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 3)))) into 0 1537025752.959 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025752.960 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025752.963 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1537025752.964 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025752.964 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k))) into 0 1537025752.966 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025752.967 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI 3))) into 0 1537025752.969 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.970 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.978 * [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 1537025752.979 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025752.980 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537025752.982 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025752.984 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 3))))) into 0 1537025752.985 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025752.985 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.985 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025752.987 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI 3)))) into 0 1537025752.987 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025752.989 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)))) into 0 1537025752.991 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025752.993 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 3)))))) into 0 1537025752.993 * [misc]backup-simplify: Simplify (- 0) into 0 1537025752.993 * [misc]backup-simplify: Simplify 0 into 0 1537025752.995 * [misc]backup-simplify: Simplify (+ (* PI 0) (+ (* 0 0) (* 0 PI))) into 0 1537025752.996 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025752.997 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI 2)))) into 0 1537025752.999 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025753.000 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025753.005 * [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 1537025753.006 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* 2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025753.007 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* 2 PI)) (log n)) k)))) into 0 1537025753.009 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025753.012 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI 2))))) into 0 1537025753.012 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025753.014 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025753.016 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log n)) k))) (pow PI 2)))))) into 0 1537025753.016 * [misc]backup-simplify: Simplify (- 0) into 0 1537025753.016 * [misc]backup-simplify: Simplify 0 into 0 1537025753.017 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log (* 2 PI)) (log (/ 1 n))) (/ 1 k)))) PI)))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k)) 1537025753.018 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- (/ (/ 1 (- k)) 2)))) (sqrt (* (* 2 (/ 1 (- n))) PI)))) into (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) 1537025753.018 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in (k n) around 0 1537025753.018 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in n 1537025753.018 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in n 1537025753.018 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025753.018 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.018 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.018 * [misc]backup-simplify: Simplify -2 into -2 1537025753.018 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.018 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.018 * [misc]backup-simplify: Simplify PI into PI 1537025753.019 * [misc]taylor: Taking taylor expansion of n in n 1537025753.019 * [misc]backup-simplify: Simplify 0 into 0 1537025753.019 * [misc]backup-simplify: Simplify 1 into 1 1537025753.019 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.019 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.019 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025753.020 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025753.020 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025753.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025753.020 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of k in n 1537025753.020 * [misc]backup-simplify: Simplify k into k 1537025753.020 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025753.020 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025753.020 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.021 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.021 * [misc]backup-simplify: Simplify -2 into -2 1537025753.021 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.021 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.021 * [misc]backup-simplify: Simplify PI into PI 1537025753.021 * [misc]taylor: Taking taylor expansion of n in n 1537025753.021 * [misc]backup-simplify: Simplify 0 into 0 1537025753.021 * [misc]backup-simplify: Simplify 1 into 1 1537025753.021 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.021 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.022 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025753.022 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1537025753.022 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.023 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log (* -2 PI)) (log n))) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025753.024 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025753.024 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025753.024 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025753.024 * [misc]taylor: Taking taylor expansion of -1 in n 1537025753.024 * [misc]backup-simplify: Simplify -1 into -1 1537025753.024 * [misc]taylor: Taking taylor expansion of k in n 1537025753.024 * [misc]backup-simplify: Simplify k into k 1537025753.024 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025753.024 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025753.024 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025753.024 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025753.025 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025753.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025753.027 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025753.030 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025753.030 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1537025753.030 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1537025753.031 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.031 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1537025753.033 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025753.034 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025753.035 * [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)))) 1537025753.035 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537025753.035 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537025753.035 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537025753.035 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025753.035 * [misc]taylor: Taking taylor expansion of -2 in k 1537025753.035 * [misc]backup-simplify: Simplify -2 into -2 1537025753.035 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025753.035 * [misc]taylor: Taking taylor expansion of PI in k 1537025753.035 * [misc]backup-simplify: Simplify PI into PI 1537025753.035 * [misc]taylor: Taking taylor expansion of n in k 1537025753.035 * [misc]backup-simplify: Simplify n into n 1537025753.035 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025753.035 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025753.036 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537025753.036 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025753.036 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537025753.036 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537025753.036 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537025753.036 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537025753.036 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537025753.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025753.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025753.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025753.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025753.037 * [misc]taylor: Taking taylor expansion of k in k 1537025753.037 * [misc]backup-simplify: Simplify 0 into 0 1537025753.037 * [misc]backup-simplify: Simplify 1 into 1 1537025753.037 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025753.037 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025753.037 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025753.037 * [misc]taylor: Taking taylor expansion of -2 in k 1537025753.037 * [misc]backup-simplify: Simplify -2 into -2 1537025753.037 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025753.037 * [misc]taylor: Taking taylor expansion of PI in k 1537025753.037 * [misc]backup-simplify: Simplify PI into PI 1537025753.037 * [misc]taylor: Taking taylor expansion of n in k 1537025753.037 * [misc]backup-simplify: Simplify n into n 1537025753.037 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025753.037 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025753.037 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025753.038 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025753.038 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025753.038 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537025753.038 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025753.038 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025753.038 * [misc]taylor: Taking taylor expansion of -1 in k 1537025753.038 * [misc]backup-simplify: Simplify -1 into -1 1537025753.038 * [misc]taylor: Taking taylor expansion of k in k 1537025753.038 * [misc]backup-simplify: Simplify 0 into 0 1537025753.038 * [misc]backup-simplify: Simplify 1 into 1 1537025753.038 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025753.038 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025753.039 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025753.039 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537025753.040 * [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))))) 1537025753.040 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) (sqrt (/ -1 k))) in k 1537025753.040 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k)))) in k 1537025753.040 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in k 1537025753.040 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025753.040 * [misc]taylor: Taking taylor expansion of -2 in k 1537025753.040 * [misc]backup-simplify: Simplify -2 into -2 1537025753.040 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025753.040 * [misc]taylor: Taking taylor expansion of PI in k 1537025753.040 * [misc]backup-simplify: Simplify PI into PI 1537025753.040 * [misc]taylor: Taking taylor expansion of n in k 1537025753.040 * [misc]backup-simplify: Simplify n into n 1537025753.040 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025753.040 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025753.040 * [misc]backup-simplify: Simplify (sqrt (* -2 (/ PI n))) into (sqrt (* -2 (/ PI n))) 1537025753.041 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ PI n) (/ 0 n)))) into 0 1537025753.041 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 (/ PI n))) into 0 1537025753.041 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (* -2 (/ PI n))))) into 0 1537025753.041 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (* 1/2 (/ 1 k))) in k 1537025753.041 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) in k 1537025753.041 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n)))) in k 1537025753.041 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1537025753.041 * [misc]taylor: Taking taylor expansion of 1/2 in k 1537025753.041 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025753.041 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1537025753.041 * [misc]taylor: Taking taylor expansion of k in k 1537025753.041 * [misc]backup-simplify: Simplify 0 into 0 1537025753.041 * [misc]backup-simplify: Simplify 1 into 1 1537025753.042 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1537025753.042 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1537025753.042 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1537025753.042 * [misc]taylor: Taking taylor expansion of -2 in k 1537025753.042 * [misc]backup-simplify: Simplify -2 into -2 1537025753.042 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1537025753.042 * [misc]taylor: Taking taylor expansion of PI in k 1537025753.042 * [misc]backup-simplify: Simplify PI into PI 1537025753.042 * [misc]taylor: Taking taylor expansion of n in k 1537025753.042 * [misc]backup-simplify: Simplify n into n 1537025753.042 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1537025753.042 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1537025753.042 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1537025753.042 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1537025753.043 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1537025753.043 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (* -2 (/ PI n))))) into (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) 1537025753.043 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025753.043 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025753.043 * [misc]taylor: Taking taylor expansion of -1 in k 1537025753.043 * [misc]backup-simplify: Simplify -1 into -1 1537025753.043 * [misc]taylor: Taking taylor expansion of k in k 1537025753.043 * [misc]backup-simplify: Simplify 0 into 0 1537025753.043 * [misc]backup-simplify: Simplify 1 into 1 1537025753.043 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025753.043 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025753.044 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025753.044 * [misc]backup-simplify: Simplify (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) into (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) 1537025753.044 * [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))))) 1537025753.045 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537025753.045 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025753.045 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025753.045 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537025753.045 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025753.045 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.045 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.045 * [misc]backup-simplify: Simplify -2 into -2 1537025753.045 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.045 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.045 * [misc]backup-simplify: Simplify PI into PI 1537025753.045 * [misc]taylor: Taking taylor expansion of n in n 1537025753.045 * [misc]backup-simplify: Simplify 0 into 0 1537025753.045 * [misc]backup-simplify: Simplify 1 into 1 1537025753.045 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.046 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.046 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025753.046 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025753.046 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537025753.046 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537025753.046 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025753.046 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025753.046 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537025753.047 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025753.047 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.047 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.047 * [misc]backup-simplify: Simplify -2 into -2 1537025753.047 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.047 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.047 * [misc]backup-simplify: Simplify PI into PI 1537025753.047 * [misc]taylor: Taking taylor expansion of n in n 1537025753.047 * [misc]backup-simplify: Simplify 0 into 0 1537025753.047 * [misc]backup-simplify: Simplify 1 into 1 1537025753.047 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.047 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.048 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025753.048 * [misc]taylor: Taking taylor expansion of k in n 1537025753.048 * [misc]backup-simplify: Simplify k into k 1537025753.048 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.049 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.050 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537025753.050 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025753.051 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025753.052 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025753.053 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025753.056 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025753.056 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025753.057 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537025753.059 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025753.060 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025753.061 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025753.062 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025753.062 * [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)))))) 1537025753.063 * [misc]backup-simplify: Simplify (+ (* (sqrt (* -2 (/ PI n))) 0) (* 0 (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) into 0 1537025753.063 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025753.064 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025753.065 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) 1537025753.065 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))))) in n 1537025753.065 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))))) in n 1537025753.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025753.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025753.065 * [misc]taylor: Taking taylor expansion of (* (sqrt (* -2 (/ PI n))) (exp (* 1/2 (/ (log (* -2 (/ PI n))) k)))) in n 1537025753.065 * [misc]taylor: Taking taylor expansion of (sqrt (* -2 (/ PI n))) in n 1537025753.065 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.065 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.065 * [misc]backup-simplify: Simplify -2 into -2 1537025753.065 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.066 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.066 * [misc]backup-simplify: Simplify PI into PI 1537025753.066 * [misc]taylor: Taking taylor expansion of n in n 1537025753.066 * [misc]backup-simplify: Simplify 0 into 0 1537025753.066 * [misc]backup-simplify: Simplify 1 into 1 1537025753.066 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.066 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025753.067 * [misc]backup-simplify: Simplify (/ (* -2 PI) (* 2 (sqrt 0))) into (* +nan.0 PI) 1537025753.067 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (* -2 (/ PI n))) k))) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (* -2 (/ PI n))) k)) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of 1/2 in n 1537025753.067 * [misc]backup-simplify: Simplify 1/2 into 1/2 1537025753.067 * [misc]taylor: Taking taylor expansion of (/ (log (* -2 (/ PI n))) k) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of -2 in n 1537025753.067 * [misc]backup-simplify: Simplify -2 into -2 1537025753.067 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025753.067 * [misc]taylor: Taking taylor expansion of PI in n 1537025753.067 * [misc]backup-simplify: Simplify PI into PI 1537025753.067 * [misc]taylor: Taking taylor expansion of n in n 1537025753.067 * [misc]backup-simplify: Simplify 0 into 0 1537025753.067 * [misc]backup-simplify: Simplify 1 into 1 1537025753.068 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025753.068 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025753.068 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1537025753.068 * [misc]taylor: Taking taylor expansion of k in n 1537025753.069 * [misc]backup-simplify: Simplify k into k 1537025753.069 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.070 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1537025753.071 * [misc]backup-simplify: Simplify (/ (- (log (* -2 PI)) (log n)) k) into (/ (- (log (* -2 PI)) (log n)) k) 1537025753.071 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) into (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)) 1537025753.072 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) into (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) 1537025753.073 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025753.074 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025753.077 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1537025753.077 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)))) into 0 1537025753.078 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k))) into 0 1537025753.080 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1537025753.081 * [misc]backup-simplify: Simplify (+ (* 0 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)))))) 1537025753.082 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025753.083 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0)) into (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025753.084 * [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)))))) 1537025753.085 * [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)))))) 1537025753.086 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025753.088 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025753.093 * [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 1537025753.094 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log (* -2 PI)) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1537025753.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log (* -2 PI)) (log n)) k)))) into 0 1537025753.097 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1537025753.098 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025753.099 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025753.100 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1537025753.105 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (* +nan.0 PI) 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)))))) 1537025753.108 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (+ (* 0 (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k))))))) (* 0 0))) into (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log n)) k)))))) 1537025753.110 * [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)))))) 1537025753.115 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI 2) (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (* PI (exp (* 1/2 (/ (- (log (* -2 PI)) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- k)))) (- (* +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))))))) 1537025753.116 * * * [misc]progress: simplifying candidates 1537025753.116 * * * * [misc]progress: [ 1 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 2 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 3 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 4 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 5 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 6 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 7 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 8 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 9 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 10 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 11 / 235 ] simplifiying candidate # 1537025753.116 * * * * [misc]progress: [ 12 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 13 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 14 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 15 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 16 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 17 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 18 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 19 / 235 ] simplifiying candidate # 1537025753.117 * * * * [misc]progress: [ 20 / 235 ] simplifiying candidate # 1537025753.117 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1537025753.119 * * [misc]simplify: iters left: 6 (18 enodes) 1537025753.128 * * [misc]simplify: iters left: 5 (37 enodes) 1537025753.146 * * [misc]simplify: iters left: 4 (76 enodes) 1537025753.179 * * [misc]simplify: iters left: 3 (202 enodes) 1537025753.277 * * [misc]simplify: iters left: 2 (495 enodes) 1537025753.560 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt (* (* PI 2) n)))) 1537025753.560 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt (* (* PI 2) n))))))) 1537025753.560 * * * * [misc]progress: [ 21 / 235 ] simplifiying candidate # 1537025753.560 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (* (log (* PI (* n 2))) (- (/ k 2)))) (log (sqrt (* (* 2 n) PI)))) 1537025753.561 * * [misc]simplify: iters left: 6 (18 enodes) 1537025753.568 * * [misc]simplify: iters left: 5 (37 enodes) 1537025753.579 * * [misc]simplify: iters left: 4 (76 enodes) 1537025753.620 * * [misc]simplify: iters left: 3 (202 enodes) 1537025753.743 * * [misc]simplify: iters left: 2 (495 enodes) 1537025754.225 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt (* (* PI 2) n)))) 1537025754.225 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (+ (* (/ k 2) (log (* n 2))) (+ (* (/ k 2) (log PI)) (log (sqrt k)))) (log (sqrt (* (* PI 2) n))))))) 1537025754.225 * * * * [misc]progress: [ 22 / 235 ] simplifiying candidate # 1537025754.225 * [enter]simplify: Simplifying (- (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt (* (* 2 n) PI)))) 1537025754.226 * * [misc]simplify: iters left: 6 (18 enodes) 1537025754.231 * * [misc]simplify: iters left: 5 (33 enodes) 1537025754.245 * * [misc]simplify: iters left: 4 (64 enodes) 1537025754.283 * * [misc]simplify: iters left: 3 (169 enodes) 1537025754.463 * [exit]simplify: Simplified to (- (+ (+ (log (sqrt k)) (* (/ k 2) (log 2))) (* (/ k 2) (log (* PI n)))) (log (sqrt (* (* PI n) 2)))) 1537025754.463 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (+ (+ (log (sqrt k)) (* (/ k 2) (log 2))) (* (/ k 2) (log (* PI n)))) (log (sqrt (* (* PI n) 2))))))) 1537025754.463 * * * * [misc]progress: [ 23 / 235 ] simplifiying candidate # 1537025754.463 * [enter]simplify: Simplifying (- (log (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (log (sqrt (* (* 2 n) PI)))) 1537025754.465 * * [misc]simplify: iters left: 6 (17 enodes) 1537025754.469 * * [misc]simplify: iters left: 5 (29 enodes) 1537025754.474 * * [misc]simplify: iters left: 4 (42 enodes) 1537025754.494 * * [misc]simplify: iters left: 3 (81 enodes) 1537025754.545 * * [misc]simplify: iters left: 2 (222 enodes) 1537025754.809 * [exit]simplify: Simplified to (- (+ (+ (log (sqrt k)) (* (log PI) (/ k 2))) (* (/ k 2) (log (* n 2)))) (log (sqrt (* 2 (* PI n))))) 1537025754.809 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (+ (+ (log (sqrt k)) (* (log PI) (/ k 2))) (* (/ k 2) (log (* n 2)))) (log (sqrt (* 2 (* PI n)))))))) 1537025754.809 * * * * [misc]progress: [ 24 / 235 ] simplifiying candidate # 1537025754.809 * * * * [misc]progress: [ 25 / 235 ] simplifiying candidate # 1537025754.810 * * * * [misc]progress: [ 26 / 235 ] simplifiying candidate # 1537025754.810 * [enter]simplify: Simplifying (/ (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- (/ k 2))) (pow (* PI (* n 2)) (- (/ k 2)))) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1537025754.812 * * [misc]simplify: iters left: 6 (21 enodes) 1537025754.825 * * [misc]simplify: iters left: 5 (43 enodes) 1537025754.855 * * [misc]simplify: iters left: 4 (141 enodes) 1537025755.081 * [exit]simplify: Simplified to (/ (/ (/ (* k (sqrt k)) (* 2 (* PI n))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3)) 1537025755.081 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (/ (* k (sqrt k)) (* 2 (* PI n))) (sqrt (* 2 (* PI n)))) (pow (pow (* 2 (* PI n)) (- (/ k 2))) 3))))) 1537025755.081 * * * * [misc]progress: [ 27 / 235 ] simplifiying candidate # 1537025755.081 * [enter]simplify: Simplifying (/ (* (* (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (* (sqrt (* (* 2 n) PI)) (sqrt (* (* 2 n) PI))) (sqrt (* (* 2 n) PI)))) 1537025755.083 * * [misc]simplify: iters left: 6 (19 enodes) 1537025755.089 * * [misc]simplify: iters left: 5 (42 enodes) 1537025755.110 * * [misc]simplify: iters left: 4 (152 enodes) 1537025755.297 * [exit]simplify: Simplified to (* (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (* 2 (* PI n)))) (/ (/ k (pow (* 2 (* PI n)) (- (/ k 2)))) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n)))))) 1537025755.297 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (sqrt k) (* (pow (* 2 (* PI n)) (- (/ k 2))) (* 2 (* PI n)))) (/ (/ k (pow (* 2 (* PI n)) (- (/ k 2)))) (* (pow (* 2 (* PI n)) (- (/ k 2))) (sqrt (* 2 (* PI n))))))))) 1537025755.297 * * * * [misc]progress: [ 28 / 235 ] simplifiying candidate # 1537025755.297 * * * * [misc]progress: [ 29 / 235 ] simplifiying candidate # 1537025755.298 * * * * [misc]progress: [ 30 / 235 ] simplifiying candidate # 1537025755.298 * * * * [misc]progress: [ 31 / 235 ] simplifiying candidate # 1537025755.298 * * * * [misc]progress: [ 32 / 235 ] simplifiying candidate # 1537025755.298 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025755.300 * * [misc]simplify: iters left: 6 (19 enodes) 1537025755.308 * * [misc]simplify: iters left: 5 (33 enodes) 1537025755.314 * * [misc]simplify: iters left: 4 (46 enodes) 1537025755.323 * * [misc]simplify: iters left: 3 (51 enodes) 1537025755.331 * * [misc]simplify: iters left: 2 (54 enodes) 1537025755.342 * [exit]simplify: Simplified to (* (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2)))))) 1537025755.342 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (cbrt (sqrt (* PI (* n 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025755.342 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025755.343 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.347 * * [misc]simplify: iters left: 5 (24 enodes) 1537025755.355 * * [misc]simplify: iters left: 4 (28 enodes) 1537025755.364 * * [misc]simplify: iters left: 3 (29 enodes) 1537025755.375 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025755.375 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537025755.375 * * * * [misc]progress: [ 33 / 235 ] simplifiying candidate # 1537025755.375 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537025755.378 * * [misc]simplify: iters left: 6 (16 enodes) 1537025755.385 * * [misc]simplify: iters left: 5 (23 enodes) 1537025755.393 * * [misc]simplify: iters left: 4 (31 enodes) 1537025755.404 * * [misc]simplify: iters left: 3 (34 enodes) 1537025755.418 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537025755.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (/ (sqrt (* n 2)) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025755.419 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025755.420 * * [misc]simplify: iters left: 6 (14 enodes) 1537025755.428 * * [misc]simplify: iters left: 5 (20 enodes) 1537025755.435 * * [misc]simplify: iters left: 4 (26 enodes) 1537025755.444 * * [misc]simplify: iters left: 3 (28 enodes) 1537025755.454 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537025755.454 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI))))) 1537025755.454 * * * * [misc]progress: [ 34 / 235 ] simplifiying candidate # 1537025755.455 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025755.457 * * [misc]simplify: iters left: 6 (18 enodes) 1537025755.465 * * [misc]simplify: iters left: 5 (28 enodes) 1537025755.474 * * [misc]simplify: iters left: 4 (34 enodes) 1537025755.484 * * [misc]simplify: iters left: 3 (37 enodes) 1537025755.499 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt (sqrt (* PI (* n 2)))))) 1537025755.499 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt (sqrt (* PI (* n 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025755.499 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025755.501 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.508 * * [misc]simplify: iters left: 5 (24 enodes) 1537025755.517 * * [misc]simplify: iters left: 4 (28 enodes) 1537025755.525 * * [misc]simplify: iters left: 3 (29 enodes) 1537025755.535 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025755.536 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537025755.536 * * * * [misc]progress: [ 35 / 235 ] simplifiying candidate # 1537025755.536 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537025755.537 * * [misc]simplify: iters left: 6 (15 enodes) 1537025755.544 * * [misc]simplify: iters left: 5 (25 enodes) 1537025755.556 * * [misc]simplify: iters left: 4 (37 enodes) 1537025755.568 * * [misc]simplify: iters left: 3 (53 enodes) 1537025755.586 * * [misc]simplify: iters left: 2 (79 enodes) 1537025755.609 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) 1537025755.609 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025755.609 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025755.610 * * [misc]simplify: iters left: 6 (16 enodes) 1537025755.614 * * [misc]simplify: iters left: 5 (23 enodes) 1537025755.617 * * [misc]simplify: iters left: 4 (27 enodes) 1537025755.622 * * [misc]simplify: iters left: 3 (28 enodes) 1537025755.627 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537025755.627 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2)))))) (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI))))))) 1537025755.627 * * * * [misc]progress: [ 36 / 235 ] simplifiying candidate # 1537025755.627 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025755.628 * * [misc]simplify: iters left: 6 (18 enodes) 1537025755.632 * * [misc]simplify: iters left: 5 (27 enodes) 1537025755.637 * * [misc]simplify: iters left: 4 (31 enodes) 1537025755.642 * * [misc]simplify: iters left: 3 (32 enodes) 1537025755.650 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537025755.650 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025755.650 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025755.651 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.655 * * [misc]simplify: iters left: 5 (24 enodes) 1537025755.659 * * [misc]simplify: iters left: 4 (28 enodes) 1537025755.664 * * [misc]simplify: iters left: 3 (29 enodes) 1537025755.669 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025755.669 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537025755.669 * * * * [misc]progress: [ 37 / 235 ] simplifiying candidate # 1537025755.669 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537025755.670 * * [misc]simplify: iters left: 6 (15 enodes) 1537025755.673 * * [misc]simplify: iters left: 5 (20 enodes) 1537025755.677 * * [misc]simplify: iters left: 4 (26 enodes) 1537025755.681 * * [misc]simplify: iters left: 3 (28 enodes) 1537025755.689 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (sqrt (* n 2))) 1537025755.690 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (/ (- k) 2)))) (sqrt (* n 2))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025755.690 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025755.691 * * [misc]simplify: iters left: 6 (14 enodes) 1537025755.697 * * [misc]simplify: iters left: 5 (20 enodes) 1537025755.702 * * [misc]simplify: iters left: 4 (26 enodes) 1537025755.706 * * [misc]simplify: iters left: 3 (28 enodes) 1537025755.711 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537025755.711 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI))))) 1537025755.711 * * * * [misc]progress: [ 38 / 235 ] simplifiying candidate # 1537025755.711 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025755.713 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.716 * * [misc]simplify: iters left: 5 (24 enodes) 1537025755.722 * * [misc]simplify: iters left: 4 (28 enodes) 1537025755.726 * * [misc]simplify: iters left: 3 (29 enodes) 1537025755.732 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025755.732 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025755.732 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025755.733 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.737 * * [misc]simplify: iters left: 5 (24 enodes) 1537025755.741 * * [misc]simplify: iters left: 4 (28 enodes) 1537025755.745 * * [misc]simplify: iters left: 3 (29 enodes) 1537025755.750 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025755.750 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537025755.750 * * * * [misc]progress: [ 39 / 235 ] simplifiying candidate # 1537025755.751 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537025755.751 * * [misc]simplify: iters left: 6 (14 enodes) 1537025755.755 * * [misc]simplify: iters left: 5 (22 enodes) 1537025755.760 * * [misc]simplify: iters left: 4 (30 enodes) 1537025755.764 * * [misc]simplify: iters left: 3 (32 enodes) 1537025755.769 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025755.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025755.769 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025755.770 * * [misc]simplify: iters left: 6 (16 enodes) 1537025755.774 * * [misc]simplify: iters left: 5 (23 enodes) 1537025755.778 * * [misc]simplify: iters left: 4 (27 enodes) 1537025755.782 * * [misc]simplify: iters left: 3 (28 enodes) 1537025755.787 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537025755.788 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI))))))) 1537025755.788 * * * * [misc]progress: [ 40 / 235 ] simplifiying candidate # 1537025755.788 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025755.791 * * [misc]simplify: iters left: 6 (17 enodes) 1537025755.795 * * [misc]simplify: iters left: 5 (29 enodes) 1537025755.802 * * [misc]simplify: iters left: 4 (49 enodes) 1537025755.813 * * [misc]simplify: iters left: 3 (85 enodes) 1537025755.831 * * [misc]simplify: iters left: 2 (124 enodes) 1537025755.854 * * [misc]simplify: iters left: 1 (145 enodes) 1537025755.888 * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 n) PI))))) 1537025755.888 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (/ (cbrt (sqrt k)) (pow PI (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025755.889 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025755.891 * * [misc]simplify: iters left: 6 (16 enodes) 1537025755.897 * * [misc]simplify: iters left: 5 (23 enodes) 1537025755.905 * * [misc]simplify: iters left: 4 (32 enodes) 1537025755.915 * * [misc]simplify: iters left: 3 (33 enodes) 1537025755.927 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537025755.927 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2)))))))) 1537025755.927 * * * * [misc]progress: [ 41 / 235 ] simplifiying candidate # 1537025755.928 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537025755.929 * * [misc]simplify: iters left: 6 (14 enodes) 1537025755.935 * * [misc]simplify: iters left: 5 (21 enodes) 1537025755.943 * * [misc]simplify: iters left: 4 (30 enodes) 1537025755.954 * * [misc]simplify: iters left: 3 (43 enodes) 1537025755.970 * * [misc]simplify: iters left: 2 (51 enodes) 1537025755.985 * * [misc]simplify: iters left: 1 (54 enodes) 1537025755.997 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (sqrt (* 2 n)) (pow PI (- (/ k 2))))) 1537025755.997 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (sqrt (* 2 n)) (pow PI (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537025755.998 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025755.999 * * [misc]simplify: iters left: 6 (13 enodes) 1537025756.001 * * [misc]simplify: iters left: 5 (18 enodes) 1537025756.005 * * [misc]simplify: iters left: 4 (21 enodes) 1537025756.009 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537025756.009 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2))))))) 1537025756.009 * * * * [misc]progress: [ 42 / 235 ] simplifiying candidate # 1537025756.009 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025756.010 * * [misc]simplify: iters left: 6 (16 enodes) 1537025756.014 * * [misc]simplify: iters left: 5 (26 enodes) 1537025756.019 * * [misc]simplify: iters left: 4 (41 enodes) 1537025756.027 * * [misc]simplify: iters left: 3 (55 enodes) 1537025756.040 * * [misc]simplify: iters left: 2 (63 enodes) 1537025756.056 * * [misc]simplify: iters left: 1 (66 enodes) 1537025756.067 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025756.067 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025756.067 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025756.068 * * [misc]simplify: iters left: 6 (16 enodes) 1537025756.072 * * [misc]simplify: iters left: 5 (23 enodes) 1537025756.076 * * [misc]simplify: iters left: 4 (32 enodes) 1537025756.081 * * [misc]simplify: iters left: 3 (33 enodes) 1537025756.091 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537025756.091 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2)))))))) 1537025756.091 * * * * [misc]progress: [ 43 / 235 ] simplifiying candidate # 1537025756.091 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1) 1537025756.092 * * [misc]simplify: iters left: 6 (12 enodes) 1537025756.098 * * [misc]simplify: iters left: 5 (20 enodes) 1537025756.105 * * [misc]simplify: iters left: 4 (28 enodes) 1537025756.119 * * [misc]simplify: iters left: 3 (54 enodes) 1537025756.158 * * [misc]simplify: iters left: 2 (143 enodes) 1537025756.215 * * [misc]simplify: iters left: 1 (147 enodes) 1537025756.224 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537025756.224 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025756.224 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025756.225 * * [misc]simplify: iters left: 6 (15 enodes) 1537025756.228 * * [misc]simplify: iters left: 5 (22 enodes) 1537025756.232 * * [misc]simplify: iters left: 4 (31 enodes) 1537025756.237 * * [misc]simplify: iters left: 3 (32 enodes) 1537025756.243 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025756.243 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537025756.243 * * * * [misc]progress: [ 44 / 235 ] simplifiying candidate # 1537025756.243 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025756.245 * * [misc]simplify: iters left: 6 (21 enodes) 1537025756.252 * * [misc]simplify: iters left: 5 (39 enodes) 1537025756.262 * * [misc]simplify: iters left: 4 (74 enodes) 1537025756.287 * * [misc]simplify: iters left: 3 (143 enodes) 1537025756.340 * * [misc]simplify: iters left: 2 (249 enodes) 1537025756.443 * * [misc]simplify: iters left: 1 (310 enodes) 1537025756.598 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2))))))) 1537025756.598 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (* (cbrt (sqrt (* (* 2 PI) n))) (cbrt (pow (* (* 2 PI) n) (- (/ k 2))))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025756.598 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025756.600 * * [misc]simplify: iters left: 6 (18 enodes) 1537025756.604 * * [misc]simplify: iters left: 5 (27 enodes) 1537025756.614 * * [misc]simplify: iters left: 4 (34 enodes) 1537025756.620 * * [misc]simplify: iters left: 3 (35 enodes) 1537025756.627 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025756.627 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025756.627 * * * * [misc]progress: [ 45 / 235 ] simplifiying candidate # 1537025756.628 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537025756.629 * * [misc]simplify: iters left: 6 (18 enodes) 1537025756.633 * * [misc]simplify: iters left: 5 (31 enodes) 1537025756.641 * * [misc]simplify: iters left: 4 (57 enodes) 1537025756.658 * * [misc]simplify: iters left: 3 (89 enodes) 1537025756.690 * * [misc]simplify: iters left: 2 (123 enodes) 1537025756.711 * * [misc]simplify: iters left: 1 (141 enodes) 1537025756.761 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (* n 2)) (cbrt (sqrt k))))) 1537025756.761 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (* (cbrt (pow (* (* n 2) PI) (- (/ k 2)))) (/ (sqrt (* n 2)) (cbrt (sqrt k))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025756.762 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025756.764 * * [misc]simplify: iters left: 6 (15 enodes) 1537025756.772 * * [misc]simplify: iters left: 5 (23 enodes) 1537025756.781 * * [misc]simplify: iters left: 4 (32 enodes) 1537025756.789 * * [misc]simplify: iters left: 3 (33 enodes) 1537025756.795 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025756.795 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025756.795 * * * * [misc]progress: [ 46 / 235 ] simplifiying candidate # 1537025756.796 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025756.797 * * [misc]simplify: iters left: 6 (20 enodes) 1537025756.802 * * [misc]simplify: iters left: 5 (36 enodes) 1537025756.809 * * [misc]simplify: iters left: 4 (60 enodes) 1537025756.827 * * [misc]simplify: iters left: 3 (92 enodes) 1537025756.863 * * [misc]simplify: iters left: 2 (127 enodes) 1537025756.909 * * [misc]simplify: iters left: 1 (145 enodes) 1537025756.946 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* 2 (* PI n))))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) 1537025756.946 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* 2 (* PI n))))) (* (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))) (cbrt (pow (* 2 (* PI n)) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025756.946 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025756.948 * * [misc]simplify: iters left: 6 (18 enodes) 1537025756.956 * * [misc]simplify: iters left: 5 (27 enodes) 1537025756.966 * * [misc]simplify: iters left: 4 (34 enodes) 1537025756.979 * * [misc]simplify: iters left: 3 (35 enodes) 1537025756.990 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025756.990 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025756.990 * * * * [misc]progress: [ 47 / 235 ] simplifiying candidate # 1537025756.990 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537025756.991 * * [misc]simplify: iters left: 6 (17 enodes) 1537025756.995 * * [misc]simplify: iters left: 5 (33 enodes) 1537025757.003 * * [misc]simplify: iters left: 4 (58 enodes) 1537025757.019 * * [misc]simplify: iters left: 3 (97 enodes) 1537025757.073 * * [misc]simplify: iters left: 2 (275 enodes) 1537025757.205 * * [misc]simplify: iters left: 1 (352 enodes) 1537025757.254 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) 1537025757.254 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025757.255 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025757.256 * * [misc]simplify: iters left: 6 (17 enodes) 1537025757.265 * * [misc]simplify: iters left: 5 (26 enodes) 1537025757.274 * * [misc]simplify: iters left: 4 (33 enodes) 1537025757.284 * * [misc]simplify: iters left: 3 (35 enodes) 1537025757.297 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025757.297 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537025757.297 * * * * [misc]progress: [ 48 / 235 ] simplifiying candidate # 1537025757.297 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025757.300 * * [misc]simplify: iters left: 6 (20 enodes) 1537025757.309 * * [misc]simplify: iters left: 5 (33 enodes) 1537025757.321 * * [misc]simplify: iters left: 4 (51 enodes) 1537025757.341 * * [misc]simplify: iters left: 3 (87 enodes) 1537025757.375 * * [misc]simplify: iters left: 2 (128 enodes) 1537025757.406 * * [misc]simplify: iters left: 1 (149 enodes) 1537025757.450 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))) 1537025757.450 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (* (cbrt (sqrt (* 2 (* PI n)))) (cbrt (sqrt (* 2 (* PI n)))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025757.450 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025757.451 * * [misc]simplify: iters left: 6 (18 enodes) 1537025757.455 * * [misc]simplify: iters left: 5 (27 enodes) 1537025757.460 * * [misc]simplify: iters left: 4 (34 enodes) 1537025757.467 * * [misc]simplify: iters left: 3 (35 enodes) 1537025757.478 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025757.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025757.478 * * * * [misc]progress: [ 49 / 235 ] simplifiying candidate # 1537025757.478 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537025757.480 * * [misc]simplify: iters left: 6 (17 enodes) 1537025757.483 * * [misc]simplify: iters left: 5 (26 enodes) 1537025757.489 * * [misc]simplify: iters left: 4 (41 enodes) 1537025757.497 * * [misc]simplify: iters left: 3 (55 enodes) 1537025757.506 * * [misc]simplify: iters left: 2 (63 enodes) 1537025757.520 * * [misc]simplify: iters left: 1 (66 enodes) 1537025757.543 * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) 1537025757.543 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025757.543 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025757.544 * * [misc]simplify: iters left: 6 (15 enodes) 1537025757.548 * * [misc]simplify: iters left: 5 (23 enodes) 1537025757.552 * * [misc]simplify: iters left: 4 (32 enodes) 1537025757.557 * * [misc]simplify: iters left: 3 (33 enodes) 1537025757.567 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025757.567 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025757.567 * * * * [misc]progress: [ 50 / 235 ] simplifiying candidate # 1537025757.568 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025757.570 * * [misc]simplify: iters left: 6 (19 enodes) 1537025757.578 * * [misc]simplify: iters left: 5 (30 enodes) 1537025757.589 * * [misc]simplify: iters left: 4 (43 enodes) 1537025757.606 * * [misc]simplify: iters left: 3 (57 enodes) 1537025757.615 * * [misc]simplify: iters left: 2 (65 enodes) 1537025757.624 * * [misc]simplify: iters left: 1 (68 enodes) 1537025757.640 * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537025757.640 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* (* n 2) PI)))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025757.640 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025757.642 * * [misc]simplify: iters left: 6 (18 enodes) 1537025757.651 * * [misc]simplify: iters left: 5 (27 enodes) 1537025757.660 * * [misc]simplify: iters left: 4 (34 enodes) 1537025757.670 * * [misc]simplify: iters left: 3 (35 enodes) 1537025757.684 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025757.684 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025757.684 * * * * [misc]progress: [ 51 / 235 ] simplifiying candidate # 1537025757.684 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537025757.686 * * [misc]simplify: iters left: 6 (16 enodes) 1537025757.690 * * [misc]simplify: iters left: 5 (28 enodes) 1537025757.696 * * [misc]simplify: iters left: 4 (42 enodes) 1537025757.706 * * [misc]simplify: iters left: 3 (67 enodes) 1537025757.727 * * [misc]simplify: iters left: 2 (147 enodes) 1537025757.767 * * [misc]simplify: iters left: 1 (160 enodes) 1537025757.781 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537025757.781 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025757.781 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025757.782 * * [misc]simplify: iters left: 6 (17 enodes) 1537025757.786 * * [misc]simplify: iters left: 5 (26 enodes) 1537025757.790 * * [misc]simplify: iters left: 4 (33 enodes) 1537025757.797 * * [misc]simplify: iters left: 3 (35 enodes) 1537025757.804 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025757.804 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537025757.804 * * * * [misc]progress: [ 52 / 235 ] simplifiying candidate # 1537025757.804 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025757.805 * * [misc]simplify: iters left: 6 (15 enodes) 1537025757.809 * * [misc]simplify: iters left: 5 (27 enodes) 1537025757.816 * * [misc]simplify: iters left: 4 (55 enodes) 1537025757.848 * * [misc]simplify: iters left: 3 (123 enodes) 1537025757.928 * * [misc]simplify: iters left: 2 (347 enodes) 1537025758.141 * * [misc]simplify: iters left: 1 (481 enodes) 1537025758.211 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) 1537025758.211 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025758.211 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025758.212 * * [misc]simplify: iters left: 6 (17 enodes) 1537025758.216 * * [misc]simplify: iters left: 5 (26 enodes) 1537025758.221 * * [misc]simplify: iters left: 4 (33 enodes) 1537025758.231 * * [misc]simplify: iters left: 3 (35 enodes) 1537025758.244 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537025758.244 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n (* PI 2)))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2)))))))) 1537025758.244 * * * * [misc]progress: [ 53 / 235 ] simplifiying candidate # 1537025758.244 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (* 2 n))) 1537025758.246 * * [misc]simplify: iters left: 6 (11 enodes) 1537025758.250 * * [misc]simplify: iters left: 5 (18 enodes) 1537025758.258 * * [misc]simplify: iters left: 4 (31 enodes) 1537025758.272 * * [misc]simplify: iters left: 3 (54 enodes) 1537025758.293 * * [misc]simplify: iters left: 2 (100 enodes) 1537025758.312 * * [misc]simplify: iters left: 1 (104 enodes) 1537025758.319 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1537025758.320 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537025758.320 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025758.321 * * [misc]simplify: iters left: 6 (14 enodes) 1537025758.324 * * [misc]simplify: iters left: 5 (22 enodes) 1537025758.329 * * [misc]simplify: iters left: 4 (31 enodes) 1537025758.335 * * [misc]simplify: iters left: 3 (32 enodes) 1537025758.347 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537025758.347 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025758.347 * * * * [misc]progress: [ 54 / 235 ] simplifiying candidate # 1537025758.347 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.349 * * [misc]simplify: iters left: 6 (14 enodes) 1537025758.355 * * [misc]simplify: iters left: 5 (24 enodes) 1537025758.363 * * [misc]simplify: iters left: 4 (43 enodes) 1537025758.373 * * [misc]simplify: iters left: 3 (68 enodes) 1537025758.388 * * [misc]simplify: iters left: 2 (119 enodes) 1537025758.417 * * [misc]simplify: iters left: 1 (123 enodes) 1537025758.427 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) 1537025758.427 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025758.427 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.428 * * [misc]simplify: iters left: 6 (17 enodes) 1537025758.432 * * [misc]simplify: iters left: 5 (26 enodes) 1537025758.436 * * [misc]simplify: iters left: 4 (33 enodes) 1537025758.442 * * [misc]simplify: iters left: 3 (35 enodes) 1537025758.448 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537025758.448 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n (* PI 2))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2)))))))) 1537025758.449 * * * * [misc]progress: [ 55 / 235 ] simplifiying candidate # 1537025758.449 * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1) 1537025758.450 * * [misc]simplify: iters left: 6 (7 enodes) 1537025758.453 * * [misc]simplify: iters left: 5 (11 enodes) 1537025758.455 * * [misc]simplify: iters left: 4 (13 enodes) 1537025758.459 * * [misc]simplify: iters left: 3 (25 enodes) 1537025758.465 * * [misc]simplify: iters left: 2 (54 enodes) 1537025758.474 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537025758.474 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025758.474 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025758.476 * * [misc]simplify: iters left: 6 (16 enodes) 1537025758.480 * * [misc]simplify: iters left: 5 (25 enodes) 1537025758.485 * * [misc]simplify: iters left: 4 (32 enodes) 1537025758.496 * * [misc]simplify: iters left: 3 (33 enodes) 1537025758.509 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537025758.509 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n)))))) 1537025758.509 * * * * [misc]progress: [ 56 / 235 ] simplifiying candidate # 1537025758.509 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025758.511 * * [misc]simplify: iters left: 6 (16 enodes) 1537025758.515 * * [misc]simplify: iters left: 5 (26 enodes) 1537025758.520 * * [misc]simplify: iters left: 4 (38 enodes) 1537025758.526 * * [misc]simplify: iters left: 3 (45 enodes) 1537025758.532 * * [misc]simplify: iters left: 2 (46 enodes) 1537025758.541 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) 1537025758.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* PI 2) n))) (cbrt (sqrt (* (* PI 2) n))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025758.541 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025758.542 * * [misc]simplify: iters left: 6 (16 enodes) 1537025758.547 * * [misc]simplify: iters left: 5 (23 enodes) 1537025758.556 * * [misc]simplify: iters left: 4 (32 enodes) 1537025758.568 * * [misc]simplify: iters left: 3 (33 enodes) 1537025758.576 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537025758.576 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2)))))))) 1537025758.576 * * * * [misc]progress: [ 57 / 235 ] simplifiying candidate # 1537025758.576 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537025758.577 * * [misc]simplify: iters left: 6 (13 enodes) 1537025758.579 * * [misc]simplify: iters left: 5 (18 enodes) 1537025758.582 * * [misc]simplify: iters left: 4 (21 enodes) 1537025758.586 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (pow PI (/ (- k) 2))) 1537025758.586 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537025758.587 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025758.587 * * [misc]simplify: iters left: 6 (13 enodes) 1537025758.590 * * [misc]simplify: iters left: 5 (18 enodes) 1537025758.593 * * [misc]simplify: iters left: 4 (21 enodes) 1537025758.597 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537025758.597 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2))))))) 1537025758.597 * * * * [misc]progress: [ 58 / 235 ] simplifiying candidate # 1537025758.597 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.598 * * [misc]simplify: iters left: 6 (15 enodes) 1537025758.604 * * [misc]simplify: iters left: 5 (23 enodes) 1537025758.613 * * [misc]simplify: iters left: 4 (32 enodes) 1537025758.623 * * [misc]simplify: iters left: 3 (33 enodes) 1537025758.629 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* PI n))))) 1537025758.629 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* PI n))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025758.630 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.631 * * [misc]simplify: iters left: 6 (16 enodes) 1537025758.634 * * [misc]simplify: iters left: 5 (23 enodes) 1537025758.638 * * [misc]simplify: iters left: 4 (32 enodes) 1537025758.643 * * [misc]simplify: iters left: 3 (33 enodes) 1537025758.651 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537025758.651 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2)))))))) 1537025758.651 * * * * [misc]progress: [ 59 / 235 ] simplifiying candidate # 1537025758.651 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1) 1537025758.652 * * [misc]simplify: iters left: 6 (11 enodes) 1537025758.654 * * [misc]simplify: iters left: 5 (17 enodes) 1537025758.656 * * [misc]simplify: iters left: 4 (20 enodes) 1537025758.661 * * [misc]simplify: iters left: 3 (24 enodes) 1537025758.667 * * [misc]simplify: iters left: 2 (25 enodes) 1537025758.672 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1537025758.672 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025758.673 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025758.674 * * [misc]simplify: iters left: 6 (15 enodes) 1537025758.680 * * [misc]simplify: iters left: 5 (22 enodes) 1537025758.688 * * [misc]simplify: iters left: 4 (31 enodes) 1537025758.693 * * [misc]simplify: iters left: 3 (32 enodes) 1537025758.699 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025758.699 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537025758.699 * * * * [misc]progress: [ 60 / 235 ] simplifiying candidate # 1537025758.699 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025758.701 * * [misc]simplify: iters left: 6 (20 enodes) 1537025758.705 * * [misc]simplify: iters left: 5 (33 enodes) 1537025758.712 * * [misc]simplify: iters left: 4 (47 enodes) 1537025758.720 * * [misc]simplify: iters left: 3 (61 enodes) 1537025758.735 * * [misc]simplify: iters left: 2 (73 enodes) 1537025758.747 * * [misc]simplify: iters left: 1 (76 enodes) 1537025758.768 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) 1537025758.768 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) (* (cbrt (pow (* (* PI 2) n) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025758.768 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025758.769 * * [misc]simplify: iters left: 6 (18 enodes) 1537025758.773 * * [misc]simplify: iters left: 5 (27 enodes) 1537025758.778 * * [misc]simplify: iters left: 4 (34 enodes) 1537025758.783 * * [misc]simplify: iters left: 3 (35 enodes) 1537025758.790 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025758.790 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025758.790 * * * * [misc]progress: [ 61 / 235 ] simplifiying candidate # 1537025758.790 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537025758.791 * * [misc]simplify: iters left: 6 (17 enodes) 1537025758.795 * * [misc]simplify: iters left: 5 (26 enodes) 1537025758.800 * * [misc]simplify: iters left: 4 (37 enodes) 1537025758.807 * * [misc]simplify: iters left: 3 (42 enodes) 1537025758.814 * * [misc]simplify: iters left: 2 (48 enodes) 1537025758.824 * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025758.824 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025758.824 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025758.825 * * [misc]simplify: iters left: 6 (15 enodes) 1537025758.829 * * [misc]simplify: iters left: 5 (23 enodes) 1537025758.833 * * [misc]simplify: iters left: 4 (32 enodes) 1537025758.840 * * [misc]simplify: iters left: 3 (33 enodes) 1537025758.853 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025758.853 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025758.853 * * * * [misc]progress: [ 62 / 235 ] simplifiying candidate # 1537025758.854 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.856 * * [misc]simplify: iters left: 6 (19 enodes) 1537025758.865 * * [misc]simplify: iters left: 5 (30 enodes) 1537025758.876 * * [misc]simplify: iters left: 4 (39 enodes) 1537025758.889 * * [misc]simplify: iters left: 3 (44 enodes) 1537025758.902 * * [misc]simplify: iters left: 2 (50 enodes) 1537025758.913 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI n) 2)))) (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))) 1537025758.913 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI n) 2)))) (* (cbrt (pow (* (* PI n) 2) (- (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- (/ k 2)))))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025758.913 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025758.914 * * [misc]simplify: iters left: 6 (18 enodes) 1537025758.918 * * [misc]simplify: iters left: 5 (27 enodes) 1537025758.923 * * [misc]simplify: iters left: 4 (34 enodes) 1537025758.929 * * [misc]simplify: iters left: 3 (35 enodes) 1537025758.936 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025758.936 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025758.936 * * * * [misc]progress: [ 63 / 235 ] simplifiying candidate # 1537025758.936 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537025758.937 * * [misc]simplify: iters left: 6 (16 enodes) 1537025758.943 * * [misc]simplify: iters left: 5 (28 enodes) 1537025758.953 * * [misc]simplify: iters left: 4 (39 enodes) 1537025758.965 * * [misc]simplify: iters left: 3 (46 enodes) 1537025758.971 * * [misc]simplify: iters left: 2 (51 enodes) 1537025758.978 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537025758.978 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025758.979 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025758.981 * * [misc]simplify: iters left: 6 (17 enodes) 1537025758.985 * * [misc]simplify: iters left: 5 (26 enodes) 1537025758.990 * * [misc]simplify: iters left: 4 (33 enodes) 1537025758.995 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.001 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025759.001 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (cbrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537025759.001 * * * * [misc]progress: [ 64 / 235 ] simplifiying candidate # 1537025759.001 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025759.003 * * [misc]simplify: iters left: 6 (19 enodes) 1537025759.011 * * [misc]simplify: iters left: 5 (30 enodes) 1537025759.022 * * [misc]simplify: iters left: 4 (40 enodes) 1537025759.033 * * [misc]simplify: iters left: 3 (47 enodes) 1537025759.040 * * [misc]simplify: iters left: 2 (48 enodes) 1537025759.050 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))) 1537025759.050 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (* (cbrt (sqrt (* (* PI n) 2))) (cbrt (sqrt (* (* PI n) 2))))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025759.050 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025759.051 * * [misc]simplify: iters left: 6 (18 enodes) 1537025759.055 * * [misc]simplify: iters left: 5 (27 enodes) 1537025759.061 * * [misc]simplify: iters left: 4 (34 enodes) 1537025759.069 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.083 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025759.083 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025759.083 * * * * [misc]progress: [ 65 / 235 ] simplifiying candidate # 1537025759.083 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537025759.085 * * [misc]simplify: iters left: 6 (16 enodes) 1537025759.091 * * [misc]simplify: iters left: 5 (23 enodes) 1537025759.096 * * [misc]simplify: iters left: 4 (32 enodes) 1537025759.101 * * [misc]simplify: iters left: 3 (33 enodes) 1537025759.107 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537025759.107 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (* n 2))) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025759.107 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025759.108 * * [misc]simplify: iters left: 6 (15 enodes) 1537025759.111 * * [misc]simplify: iters left: 5 (23 enodes) 1537025759.116 * * [misc]simplify: iters left: 4 (32 enodes) 1537025759.122 * * [misc]simplify: iters left: 3 (33 enodes) 1537025759.134 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025759.134 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025759.134 * * * * [misc]progress: [ 66 / 235 ] simplifiying candidate # 1537025759.135 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.137 * * [misc]simplify: iters left: 6 (18 enodes) 1537025759.144 * * [misc]simplify: iters left: 5 (27 enodes) 1537025759.154 * * [misc]simplify: iters left: 4 (34 enodes) 1537025759.167 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.181 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025759.181 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025759.181 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.183 * * [misc]simplify: iters left: 6 (18 enodes) 1537025759.189 * * [misc]simplify: iters left: 5 (27 enodes) 1537025759.194 * * [misc]simplify: iters left: 4 (34 enodes) 1537025759.199 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.206 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025759.206 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2))))))) 1537025759.206 * * * * [misc]progress: [ 67 / 235 ] simplifiying candidate # 1537025759.206 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537025759.207 * * [misc]simplify: iters left: 6 (15 enodes) 1537025759.210 * * [misc]simplify: iters left: 5 (25 enodes) 1537025759.215 * * [misc]simplify: iters left: 4 (34 enodes) 1537025759.221 * * [misc]simplify: iters left: 3 (40 enodes) 1537025759.226 * * [misc]simplify: iters left: 2 (41 enodes) 1537025759.231 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) 1537025759.231 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025759.231 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025759.232 * * [misc]simplify: iters left: 6 (17 enodes) 1537025759.236 * * [misc]simplify: iters left: 5 (26 enodes) 1537025759.244 * * [misc]simplify: iters left: 4 (33 enodes) 1537025759.251 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.257 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025759.257 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* 2 (* PI n)) (/ (- k) 2)))) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2))))))) 1537025759.257 * * * * [misc]progress: [ 68 / 235 ] simplifiying candidate # 1537025759.258 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025759.258 * * [misc]simplify: iters left: 6 (14 enodes) 1537025759.262 * * [misc]simplify: iters left: 5 (24 enodes) 1537025759.267 * * [misc]simplify: iters left: 4 (38 enodes) 1537025759.274 * * [misc]simplify: iters left: 3 (48 enodes) 1537025759.287 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) 1537025759.287 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025759.288 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025759.289 * * [misc]simplify: iters left: 6 (17 enodes) 1537025759.297 * * [misc]simplify: iters left: 5 (26 enodes) 1537025759.306 * * [misc]simplify: iters left: 4 (33 enodes) 1537025759.317 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.330 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537025759.330 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* n (* PI 2))))) (cbrt (sqrt (* n (* PI 2))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2)))))))) 1537025759.330 * * * * [misc]progress: [ 69 / 235 ] simplifiying candidate # 1537025759.330 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (sqrt (* 2 n))) 1537025759.331 * * [misc]simplify: iters left: 6 (10 enodes) 1537025759.335 * * [misc]simplify: iters left: 5 (15 enodes) 1537025759.341 * * [misc]simplify: iters left: 4 (20 enodes) 1537025759.346 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537025759.346 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537025759.347 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025759.351 * * [misc]simplify: iters left: 6 (14 enodes) 1537025759.357 * * [misc]simplify: iters left: 5 (22 enodes) 1537025759.365 * * [misc]simplify: iters left: 4 (31 enodes) 1537025759.375 * * [misc]simplify: iters left: 3 (32 enodes) 1537025759.386 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537025759.386 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* 2 n))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2))))))) 1537025759.386 * * * * [misc]progress: [ 70 / 235 ] simplifiying candidate # 1537025759.387 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.388 * * [misc]simplify: iters left: 6 (13 enodes) 1537025759.394 * * [misc]simplify: iters left: 5 (21 enodes) 1537025759.403 * * [misc]simplify: iters left: 4 (32 enodes) 1537025759.413 * * [misc]simplify: iters left: 3 (33 enodes) 1537025759.422 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) 1537025759.422 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025759.422 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.424 * * [misc]simplify: iters left: 6 (17 enodes) 1537025759.431 * * [misc]simplify: iters left: 5 (26 enodes) 1537025759.441 * * [misc]simplify: iters left: 4 (33 enodes) 1537025759.451 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.464 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537025759.464 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* n PI) 2)))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2)))))))) 1537025759.464 * * * * [misc]progress: [ 71 / 235 ] simplifiying candidate # 1537025759.464 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) 1) 1) 1537025759.465 * * [misc]simplify: iters left: 6 (6 enodes) 1537025759.467 * * [misc]simplify: iters left: 5 (8 enodes) 1537025759.469 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537025759.469 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025759.469 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025759.471 * * [misc]simplify: iters left: 6 (16 enodes) 1537025759.477 * * [misc]simplify: iters left: 5 (25 enodes) 1537025759.489 * * [misc]simplify: iters left: 4 (32 enodes) 1537025759.499 * * [misc]simplify: iters left: 3 (33 enodes) 1537025759.511 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537025759.511 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n)))))) 1537025759.511 * * * * [misc]progress: [ 72 / 235 ] simplifiying candidate # 1537025759.512 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025759.513 * * [misc]simplify: iters left: 6 (15 enodes) 1537025759.520 * * [misc]simplify: iters left: 5 (27 enodes) 1537025759.530 * * [misc]simplify: iters left: 4 (39 enodes) 1537025759.543 * * [misc]simplify: iters left: 3 (46 enodes) 1537025759.555 * * [misc]simplify: iters left: 2 (47 enodes) 1537025759.572 * [exit]simplify: Simplified to (/ (/ (/ 1 (pow PI (- (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) 1537025759.572 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (/ 1 (pow PI (- (/ k 2)))) (cbrt (sqrt (* 2 (* n PI))))) (cbrt (sqrt (* 2 (* n PI))))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025759.572 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025759.574 * * [misc]simplify: iters left: 6 (15 enodes) 1537025759.580 * * [misc]simplify: iters left: 5 (22 enodes) 1537025759.584 * * [misc]simplify: iters left: 4 (31 enodes) 1537025759.589 * * [misc]simplify: iters left: 3 (32 enodes) 1537025759.595 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) 1537025759.595 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n))))))) 1537025759.595 * * * * [misc]progress: [ 73 / 235 ] simplifiying candidate # 1537025759.596 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n))) 1537025759.598 * * [misc]simplify: iters left: 6 (12 enodes) 1537025759.600 * * [misc]simplify: iters left: 5 (19 enodes) 1537025759.603 * * [misc]simplify: iters left: 4 (22 enodes) 1537025759.607 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (pow PI (- (/ k 2)))) 1537025759.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI))))) 1537025759.607 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025759.609 * * [misc]simplify: iters left: 6 (12 enodes) 1537025759.613 * * [misc]simplify: iters left: 5 (17 enodes) 1537025759.619 * * [misc]simplify: iters left: 4 (20 enodes) 1537025759.627 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))) 1537025759.627 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2)))))) 1537025759.627 * * * * [misc]progress: [ 74 / 235 ] simplifiying candidate # 1537025759.628 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.629 * * [misc]simplify: iters left: 6 (14 enodes) 1537025759.635 * * [misc]simplify: iters left: 5 (24 enodes) 1537025759.643 * * [misc]simplify: iters left: 4 (33 enodes) 1537025759.653 * * [misc]simplify: iters left: 3 (35 enodes) 1537025759.665 * [exit]simplify: Simplified to (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) 1537025759.665 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* 2 (* n PI))))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025759.665 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.667 * * [misc]simplify: iters left: 6 (15 enodes) 1537025759.673 * * [misc]simplify: iters left: 5 (22 enodes) 1537025759.682 * * [misc]simplify: iters left: 4 (31 enodes) 1537025759.687 * * [misc]simplify: iters left: 3 (32 enodes) 1537025759.693 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537025759.693 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n))))))) 1537025759.693 * * * * [misc]progress: [ 75 / 235 ] simplifiying candidate # 1537025759.694 * [enter]simplify: Simplifying (/ (/ 1 (pow PI (- (/ k 2)))) 1) 1537025759.694 * * [misc]simplify: iters left: 6 (9 enodes) 1537025759.696 * * [misc]simplify: iters left: 5 (15 enodes) 1537025759.699 * * [misc]simplify: iters left: 4 (18 enodes) 1537025759.704 * * [misc]simplify: iters left: 3 (21 enodes) 1537025759.709 * [exit]simplify: Simplified to (/ 1 (pow PI (- (/ k 2)))) 1537025759.709 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025759.709 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025759.711 * * [misc]simplify: iters left: 6 (14 enodes) 1537025759.717 * * [misc]simplify: iters left: 5 (21 enodes) 1537025759.725 * * [misc]simplify: iters left: 4 (30 enodes) 1537025759.734 * * [misc]simplify: iters left: 3 (31 enodes) 1537025759.747 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))) 1537025759.747 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI))))))) 1537025759.747 * * * * [misc]progress: [ 76 / 235 ] simplifiying candidate # 1537025759.747 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025759.750 * * [misc]simplify: iters left: 6 (19 enodes) 1537025759.759 * * [misc]simplify: iters left: 5 (34 enodes) 1537025759.771 * * [misc]simplify: iters left: 4 (48 enodes) 1537025759.788 * * [misc]simplify: iters left: 3 (62 enodes) 1537025759.807 * * [misc]simplify: iters left: 2 (74 enodes) 1537025759.828 * * [misc]simplify: iters left: 1 (77 enodes) 1537025759.854 * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (sqrt (* 2 (* n PI)))) (cbrt (pow (* 2 (* n PI)) (- (/ k 2)))))) (* (cbrt (sqrt (* 2 (* n PI)))) (cbrt (pow (* 2 (* n PI)) (- (/ k 2)))))) 1537025759.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (* (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) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025759.854 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025759.856 * * [misc]simplify: iters left: 6 (17 enodes) 1537025759.859 * * [misc]simplify: iters left: 5 (26 enodes) 1537025759.864 * * [misc]simplify: iters left: 4 (33 enodes) 1537025759.869 * * [misc]simplify: iters left: 3 (34 enodes) 1537025759.876 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025759.876 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537025759.876 * * * * [misc]progress: [ 77 / 235 ] simplifiying candidate # 1537025759.877 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) 1537025759.878 * * [misc]simplify: iters left: 6 (16 enodes) 1537025759.885 * * [misc]simplify: iters left: 5 (27 enodes) 1537025759.895 * * [misc]simplify: iters left: 4 (38 enodes) 1537025759.908 * * [misc]simplify: iters left: 3 (42 enodes) 1537025759.920 * * [misc]simplify: iters left: 2 (48 enodes) 1537025759.941 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (* (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537025759.941 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (* (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025759.941 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025759.943 * * [misc]simplify: iters left: 6 (14 enodes) 1537025759.949 * * [misc]simplify: iters left: 5 (22 enodes) 1537025759.958 * * [misc]simplify: iters left: 4 (31 enodes) 1537025759.968 * * [misc]simplify: iters left: 3 (33 enodes) 1537025759.980 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025759.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2))))))) 1537025759.980 * * * * [misc]progress: [ 78 / 235 ] simplifiying candidate # 1537025759.980 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025759.982 * * [misc]simplify: iters left: 6 (18 enodes) 1537025759.990 * * [misc]simplify: iters left: 5 (31 enodes) 1537025759.998 * * [misc]simplify: iters left: 4 (40 enodes) 1537025760.005 * * [misc]simplify: iters left: 3 (44 enodes) 1537025760.012 * * [misc]simplify: iters left: 2 (50 enodes) 1537025760.022 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (sqrt (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537025760.022 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (cbrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (sqrt (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025760.022 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.023 * * [misc]simplify: iters left: 6 (17 enodes) 1537025760.030 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.041 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.049 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.056 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025760.056 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537025760.056 * * * * [misc]progress: [ 79 / 235 ] simplifiying candidate # 1537025760.056 * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1) 1537025760.057 * * [misc]simplify: iters left: 6 (14 enodes) 1537025760.060 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.066 * * [misc]simplify: iters left: 4 (37 enodes) 1537025760.072 * * [misc]simplify: iters left: 3 (42 enodes) 1537025760.079 * * [misc]simplify: iters left: 2 (43 enodes) 1537025760.091 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) 1537025760.091 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025760.091 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025760.092 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.096 * * [misc]simplify: iters left: 5 (25 enodes) 1537025760.100 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.105 * * [misc]simplify: iters left: 3 (33 enodes) 1537025760.111 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537025760.111 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))) (cbrt (pow (* 2 (* n PI)) (/ (- k) 2))))) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537025760.111 * * * * [misc]progress: [ 80 / 235 ] simplifiying candidate # 1537025760.112 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025760.113 * * [misc]simplify: iters left: 6 (18 enodes) 1537025760.119 * * [misc]simplify: iters left: 5 (31 enodes) 1537025760.128 * * [misc]simplify: iters left: 4 (41 enodes) 1537025760.135 * * [misc]simplify: iters left: 3 (47 enodes) 1537025760.142 * * [misc]simplify: iters left: 2 (48 enodes) 1537025760.151 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537025760.151 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* n (* 2 PI)) (/ (- k) 2)))) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025760.151 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025760.153 * * [misc]simplify: iters left: 6 (17 enodes) 1537025760.160 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.169 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.179 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.191 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025760.191 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n)))))))) 1537025760.192 * * * * [misc]progress: [ 81 / 235 ] simplifiying candidate # 1537025760.192 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) 1537025760.193 * * [misc]simplify: iters left: 6 (15 enodes) 1537025760.200 * * [misc]simplify: iters left: 5 (24 enodes) 1537025760.208 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.219 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.230 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (* n 2))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) 1537025760.230 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (* n 2))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI))))) 1537025760.231 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025760.232 * * [misc]simplify: iters left: 6 (14 enodes) 1537025760.238 * * [misc]simplify: iters left: 5 (22 enodes) 1537025760.244 * * [misc]simplify: iters left: 4 (31 enodes) 1537025760.249 * * [misc]simplify: iters left: 3 (33 enodes) 1537025760.256 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025760.256 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2))))))) 1537025760.256 * * * * [misc]progress: [ 82 / 235 ] simplifiying candidate # 1537025760.256 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.257 * * [misc]simplify: iters left: 6 (17 enodes) 1537025760.261 * * [misc]simplify: iters left: 5 (28 enodes) 1537025760.266 * * [misc]simplify: iters left: 4 (35 enodes) 1537025760.271 * * [misc]simplify: iters left: 3 (36 enodes) 1537025760.278 * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (* 2 (* n PI))))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) 1537025760.278 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (sqrt (* 2 (* n PI))))) (sqrt (pow (* 2 (* n PI)) (- (/ k 2))))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025760.278 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.279 * * [misc]simplify: iters left: 6 (17 enodes) 1537025760.287 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.296 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.306 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.322 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025760.322 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n)))))))) 1537025760.322 * * * * [misc]progress: [ 83 / 235 ] simplifiying candidate # 1537025760.323 * [enter]simplify: Simplifying (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1) 1537025760.324 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.330 * * [misc]simplify: iters left: 5 (23 enodes) 1537025760.338 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.348 * * [misc]simplify: iters left: 3 (36 enodes) 1537025760.358 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) 1537025760.358 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))))) 1537025760.358 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025760.360 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.367 * * [misc]simplify: iters left: 5 (25 enodes) 1537025760.376 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.385 * * [misc]simplify: iters left: 3 (33 enodes) 1537025760.390 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537025760.391 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* 2 PI) n) (/ (- k) 2)))) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2)))))))) 1537025760.391 * * * * [misc]progress: [ 84 / 235 ] simplifiying candidate # 1537025760.391 * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025760.391 * * [misc]simplify: iters left: 6 (11 enodes) 1537025760.394 * * [misc]simplify: iters left: 5 (19 enodes) 1537025760.398 * * [misc]simplify: iters left: 4 (25 enodes) 1537025760.402 * * [misc]simplify: iters left: 3 (27 enodes) 1537025760.406 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537025760.406 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025760.406 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025760.407 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.411 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.418 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.425 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.438 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537025760.438 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537025760.438 * * * * [misc]progress: [ 85 / 235 ] simplifiying candidate # 1537025760.438 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537025760.439 * * [misc]simplify: iters left: 5 (7 enodes) 1537025760.441 * * [misc]simplify: iters left: 4 (10 enodes) 1537025760.444 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537025760.444 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537025760.444 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025760.446 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.451 * * [misc]simplify: iters left: 5 (21 enodes) 1537025760.459 * * [misc]simplify: iters left: 4 (30 enodes) 1537025760.469 * * [misc]simplify: iters left: 3 (32 enodes) 1537025760.479 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537025760.479 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1537025760.479 * * * * [misc]progress: [ 86 / 235 ] simplifiying candidate # 1537025760.479 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.480 * * [misc]simplify: iters left: 6 (10 enodes) 1537025760.484 * * [misc]simplify: iters left: 5 (16 enodes) 1537025760.488 * * [misc]simplify: iters left: 4 (22 enodes) 1537025760.492 * * [misc]simplify: iters left: 3 (24 enodes) 1537025760.496 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.496 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025760.496 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.497 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.501 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.506 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.511 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.519 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537025760.519 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537025760.519 * * * * [misc]progress: [ 87 / 235 ] simplifiying candidate # 1537025760.519 * [enter]simplify: Simplifying (/ (/ 1 1) 1) 1537025760.519 * * [misc]simplify: iters left: 4 (3 enodes) 1537025760.520 * * [misc]simplify: iters left: 3 (5 enodes) 1537025760.520 * [exit]simplify: Simplified to 1 1537025760.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025760.521 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025760.521 * * [misc]simplify: iters left: 6 (15 enodes) 1537025760.527 * * [misc]simplify: iters left: 5 (25 enodes) 1537025760.535 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.544 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.550 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537025760.550 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI))))))) 1537025760.550 * * * * [misc]progress: [ 88 / 235 ] simplifiying candidate # 1537025760.551 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025760.551 * * [misc]simplify: iters left: 6 (10 enodes) 1537025760.554 * * [misc]simplify: iters left: 5 (18 enodes) 1537025760.557 * * [misc]simplify: iters left: 4 (24 enodes) 1537025760.561 * * [misc]simplify: iters left: 3 (25 enodes) 1537025760.566 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537025760.566 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025760.566 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025760.567 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.571 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.575 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.580 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.586 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537025760.586 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2)))))))) 1537025760.586 * * * * [misc]progress: [ 89 / 235 ] simplifiying candidate # 1537025760.586 * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 n))) 1537025760.587 * * [misc]simplify: iters left: 5 (6 enodes) 1537025760.588 * * [misc]simplify: iters left: 4 (9 enodes) 1537025760.589 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1537025760.589 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n 2))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537025760.589 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025760.590 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.594 * * [misc]simplify: iters left: 5 (21 enodes) 1537025760.599 * * [misc]simplify: iters left: 4 (30 enodes) 1537025760.604 * * [misc]simplify: iters left: 3 (32 enodes) 1537025760.614 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537025760.614 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* 2 n))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2)))))) 1537025760.614 * * * * [misc]progress: [ 90 / 235 ] simplifiying candidate # 1537025760.615 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.615 * * [misc]simplify: iters left: 6 (9 enodes) 1537025760.619 * * [misc]simplify: iters left: 5 (15 enodes) 1537025760.625 * * [misc]simplify: iters left: 4 (21 enodes) 1537025760.631 * * [misc]simplify: iters left: 3 (22 enodes) 1537025760.638 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) 1537025760.638 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 PI) n)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025760.638 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.640 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.647 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.655 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.662 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.668 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537025760.668 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2)))))))) 1537025760.668 * * * * [misc]progress: [ 91 / 235 ] simplifiying candidate # 1537025760.669 * [enter]simplify: Simplifying (/ 1 1) 1537025760.669 * * [misc]simplify: iters left: 2 (2 enodes) 1537025760.669 * * [misc]simplify: iters left: 1 (4 enodes) 1537025760.670 * [exit]simplify: Simplified to 1 1537025760.670 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025760.670 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025760.671 * * [misc]simplify: iters left: 6 (15 enodes) 1537025760.674 * * [misc]simplify: iters left: 5 (25 enodes) 1537025760.679 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.684 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.692 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537025760.692 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI))))))) 1537025760.692 * * * * [misc]progress: [ 92 / 235 ] simplifiying candidate # 1537025760.692 * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025760.693 * * [misc]simplify: iters left: 6 (11 enodes) 1537025760.698 * * [misc]simplify: iters left: 5 (17 enodes) 1537025760.704 * * [misc]simplify: iters left: 4 (23 enodes) 1537025760.712 * * [misc]simplify: iters left: 3 (24 enodes) 1537025760.721 * [exit]simplify: Simplified to (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) 1537025760.721 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* n PI) 2))) (cbrt (sqrt (* (* n PI) 2))))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025760.721 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025760.723 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.731 * * [misc]simplify: iters left: 5 (27 enodes) 1537025760.740 * * [misc]simplify: iters left: 4 (34 enodes) 1537025760.749 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.762 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))) 1537025760.762 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI)))))))) 1537025760.762 * * * * [misc]progress: [ 93 / 235 ] simplifiying candidate # 1537025760.762 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (* 2 n))) 1537025760.763 * * [misc]simplify: iters left: 5 (7 enodes) 1537025760.765 * * [misc]simplify: iters left: 4 (8 enodes) 1537025760.769 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537025760.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI))))) 1537025760.769 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025760.770 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.776 * * [misc]simplify: iters left: 5 (23 enodes) 1537025760.784 * * [misc]simplify: iters left: 4 (32 enodes) 1537025760.794 * * [misc]simplify: iters left: 3 (33 enodes) 1537025760.805 * [exit]simplify: Simplified to (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))) 1537025760.805 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2)))))) 1537025760.805 * * * * [misc]progress: [ 94 / 235 ] simplifiying candidate # 1537025760.806 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.807 * * [misc]simplify: iters left: 6 (10 enodes) 1537025760.811 * * [misc]simplify: iters left: 5 (14 enodes) 1537025760.819 * * [misc]simplify: iters left: 4 (20 enodes) 1537025760.826 * * [misc]simplify: iters left: 3 (22 enodes) 1537025760.833 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) 1537025760.833 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025760.834 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025760.835 * * [misc]simplify: iters left: 6 (16 enodes) 1537025760.843 * * [misc]simplify: iters left: 5 (27 enodes) 1537025760.852 * * [misc]simplify: iters left: 4 (34 enodes) 1537025760.862 * * [misc]simplify: iters left: 3 (35 enodes) 1537025760.873 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))) 1537025760.873 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI)))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI)))))))) 1537025760.873 * * * * [misc]progress: [ 95 / 235 ] simplifiying candidate # 1537025760.874 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537025760.874 * * [misc]simplify: iters left: 3 (4 enodes) 1537025760.876 * * [misc]simplify: iters left: 2 (6 enodes) 1537025760.878 * * [misc]simplify: iters left: 1 (8 enodes) 1537025760.880 * [exit]simplify: Simplified to (sqrt k) 1537025760.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) 1537025760.880 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025760.882 * * [misc]simplify: iters left: 6 (15 enodes) 1537025760.889 * * [misc]simplify: iters left: 5 (26 enodes) 1537025760.899 * * [misc]simplify: iters left: 4 (33 enodes) 1537025760.908 * * [misc]simplify: iters left: 3 (34 enodes) 1537025760.921 * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025760.921 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI))))))) 1537025760.921 * * * * [misc]progress: [ 96 / 235 ] simplifiying candidate # 1537025760.921 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025760.922 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.928 * * [misc]simplify: iters left: 5 (23 enodes) 1537025760.938 * * [misc]simplify: iters left: 4 (37 enodes) 1537025760.953 * * [misc]simplify: iters left: 3 (47 enodes) 1537025760.965 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) 1537025760.965 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025760.966 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537025760.966 * * [misc]simplify: iters left: 6 (13 enodes) 1537025760.969 * * [misc]simplify: iters left: 5 (18 enodes) 1537025760.973 * * [misc]simplify: iters left: 4 (22 enodes) 1537025760.976 * * [misc]simplify: iters left: 3 (23 enodes) 1537025760.980 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537025760.980 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (sqrt (* (* PI 2) n)))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1537025760.980 * * * * [misc]progress: [ 97 / 235 ] simplifiying candidate # 1537025760.980 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537025760.981 * * [misc]simplify: iters left: 5 (9 enodes) 1537025760.983 * * [misc]simplify: iters left: 4 (14 enodes) 1537025760.986 * * [misc]simplify: iters left: 3 (19 enodes) 1537025760.988 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537025760.988 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI))))) 1537025760.988 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537025760.989 * * [misc]simplify: iters left: 6 (10 enodes) 1537025760.991 * * [misc]simplify: iters left: 5 (14 enodes) 1537025760.994 * * [misc]simplify: iters left: 4 (20 enodes) 1537025760.997 * * [misc]simplify: iters left: 3 (22 enodes) 1537025761.001 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537025761.001 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* 2 n))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1537025761.001 * * * * [misc]progress: [ 98 / 235 ] simplifiying candidate # 1537025761.001 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.002 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.005 * * [misc]simplify: iters left: 5 (20 enodes) 1537025761.010 * * [misc]simplify: iters left: 4 (31 enodes) 1537025761.014 * * [misc]simplify: iters left: 3 (33 enodes) 1537025761.019 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) 1537025761.019 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025761.019 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.020 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.022 * * [misc]simplify: iters left: 5 (18 enodes) 1537025761.027 * * [misc]simplify: iters left: 4 (22 enodes) 1537025761.031 * * [misc]simplify: iters left: 3 (23 enodes) 1537025761.035 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537025761.035 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* PI 2))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1537025761.035 * * * * [misc]progress: [ 99 / 235 ] simplifiying candidate # 1537025761.035 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) 1) 1537025761.036 * * [misc]simplify: iters left: 5 (5 enodes) 1537025761.037 * * [misc]simplify: iters left: 4 (7 enodes) 1537025761.037 * [exit]simplify: Simplified to (sqrt k) 1537025761.037 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537025761.037 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025761.038 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.041 * * [misc]simplify: iters left: 5 (17 enodes) 1537025761.044 * * [misc]simplify: iters left: 4 (21 enodes) 1537025761.047 * * [misc]simplify: iters left: 3 (22 enodes) 1537025761.051 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025761.051 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537025761.051 * * * * [misc]progress: [ 100 / 235 ] simplifiying candidate # 1537025761.051 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) 1537025761.052 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.056 * * [misc]simplify: iters left: 5 (26 enodes) 1537025761.061 * * [misc]simplify: iters left: 4 (36 enodes) 1537025761.067 * * [misc]simplify: iters left: 3 (45 enodes) 1537025761.073 * [exit]simplify: Simplified to (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) 1537025761.073 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI))))))) 1537025761.073 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537025761.074 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.077 * * [misc]simplify: iters left: 5 (18 enodes) 1537025761.080 * * [misc]simplify: iters left: 4 (22 enodes) 1537025761.084 * * [misc]simplify: iters left: 3 (23 enodes) 1537025761.088 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537025761.088 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* n (* 2 PI)))) (cbrt (sqrt (* n (* 2 PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n)))))))) 1537025761.088 * * * * [misc]progress: [ 101 / 235 ] simplifiying candidate # 1537025761.088 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (* 2 n))) 1537025761.089 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.091 * * [misc]simplify: iters left: 5 (19 enodes) 1537025761.101 * * [misc]simplify: iters left: 4 (27 enodes) 1537025761.107 * * [misc]simplify: iters left: 3 (33 enodes) 1537025761.112 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* n 2))) 1537025761.112 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n 2))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI))))) 1537025761.112 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537025761.112 * * [misc]simplify: iters left: 6 (10 enodes) 1537025761.114 * * [misc]simplify: iters left: 5 (14 enodes) 1537025761.117 * * [misc]simplify: iters left: 4 (20 enodes) 1537025761.121 * * [misc]simplify: iters left: 3 (22 enodes) 1537025761.124 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537025761.124 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (* n 2))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI))))) 1537025761.124 * * * * [misc]progress: [ 102 / 235 ] simplifiying candidate # 1537025761.125 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.125 * * [misc]simplify: iters left: 6 (15 enodes) 1537025761.129 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.133 * * [misc]simplify: iters left: 4 (29 enodes) 1537025761.139 * * [misc]simplify: iters left: 3 (34 enodes) 1537025761.143 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) 1537025761.143 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI))))))) 1537025761.143 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.144 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.147 * * [misc]simplify: iters left: 5 (18 enodes) 1537025761.150 * * [misc]simplify: iters left: 4 (22 enodes) 1537025761.154 * * [misc]simplify: iters left: 3 (23 enodes) 1537025761.157 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537025761.157 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* n (* 2 PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n)))))))) 1537025761.157 * * * * [misc]progress: [ 103 / 235 ] simplifiying candidate # 1537025761.158 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1) 1537025761.158 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.161 * * [misc]simplify: iters left: 5 (19 enodes) 1537025761.164 * * [misc]simplify: iters left: 4 (25 enodes) 1537025761.168 * * [misc]simplify: iters left: 3 (26 enodes) 1537025761.172 * [exit]simplify: Simplified to (sqrt k) 1537025761.172 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537025761.173 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025761.173 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.176 * * [misc]simplify: iters left: 5 (17 enodes) 1537025761.179 * * [misc]simplify: iters left: 4 (21 enodes) 1537025761.182 * * [misc]simplify: iters left: 3 (22 enodes) 1537025761.186 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025761.186 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI)))))) 1537025761.186 * * * * [misc]progress: [ 104 / 235 ] simplifiying candidate # 1537025761.186 * * * * [misc]progress: [ 105 / 235 ] simplifiying candidate # 1537025761.186 * * * * [misc]progress: [ 106 / 235 ] simplifiying candidate # 1537025761.186 * * * * [misc]progress: [ 107 / 235 ] simplifiying candidate # 1537025761.187 * [enter]simplify: Simplifying (cbrt (sqrt (* (* 2 n) PI))) 1537025761.187 * * [misc]simplify: iters left: 6 (7 enodes) 1537025761.189 * * [misc]simplify: iters left: 5 (11 enodes) 1537025761.191 * * [misc]simplify: iters left: 4 (17 enodes) 1537025761.194 * * [misc]simplify: iters left: 3 (19 enodes) 1537025761.197 * [exit]simplify: Simplified to (cbrt (sqrt (* (* 2 n) PI))) 1537025761.197 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI))))) (cbrt (sqrt (* (* 2 n) PI)))))) 1537025761.197 * * * * [misc]progress: [ 108 / 235 ] simplifiying candidate # 1537025761.197 * [enter]simplify: Simplifying (sqrt PI) 1537025761.198 * * [misc]simplify: iters left: 1 (2 enodes) 1537025761.198 * [exit]simplify: Simplified to (sqrt PI) 1537025761.198 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* 2 n))) (sqrt PI)))) 1537025761.198 * * * * [misc]progress: [ 109 / 235 ] simplifiying candidate # 1537025761.198 * [enter]simplify: Simplifying (sqrt (sqrt (* (* 2 n) PI))) 1537025761.198 * * [misc]simplify: iters left: 6 (7 enodes) 1537025761.200 * * [misc]simplify: iters left: 5 (11 enodes) 1537025761.202 * * [misc]simplify: iters left: 4 (17 enodes) 1537025761.205 * * [misc]simplify: iters left: 3 (19 enodes) 1537025761.208 * [exit]simplify: Simplified to (sqrt (sqrt (* (* 2 n) PI))) 1537025761.208 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) (sqrt (sqrt (* (* 2 n) PI)))))) 1537025761.208 * * * * [misc]progress: [ 110 / 235 ] simplifiying candidate # 1537025761.209 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1537025761.209 * * [misc]simplify: iters left: 5 (6 enodes) 1537025761.210 * * [misc]simplify: iters left: 4 (10 enodes) 1537025761.213 * * [misc]simplify: iters left: 3 (16 enodes) 1537025761.216 * * [misc]simplify: iters left: 2 (18 enodes) 1537025761.222 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537025761.222 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1) (sqrt (* (* 2 n) PI))))) 1537025761.222 * * * * [misc]progress: [ 111 / 235 ] simplifiying candidate # 1537025761.222 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025761.223 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.229 * * [misc]simplify: iters left: 5 (19 enodes) 1537025761.236 * * [misc]simplify: iters left: 4 (25 enodes) 1537025761.244 * * [misc]simplify: iters left: 3 (26 enodes) 1537025761.254 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537025761.254 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2)))) (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.254 * * * * [misc]progress: [ 112 / 235 ] simplifiying candidate # 1537025761.254 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1537025761.255 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.263 * * [misc]simplify: iters left: 5 (18 enodes) 1537025761.269 * * [misc]simplify: iters left: 4 (24 enodes) 1537025761.277 * * [misc]simplify: iters left: 3 (26 enodes) 1537025761.286 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025761.286 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.286 * * * * [misc]progress: [ 113 / 235 ] simplifiying candidate # 1537025761.287 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537025761.288 * * [misc]simplify: iters left: 6 (10 enodes) 1537025761.292 * * [misc]simplify: iters left: 5 (14 enodes) 1537025761.297 * * [misc]simplify: iters left: 4 (16 enodes) 1537025761.302 * * [misc]simplify: iters left: 3 (17 enodes) 1537025761.308 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1537025761.308 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1537025761.308 * * * * [misc]progress: [ 114 / 235 ] simplifiying candidate # 1537025761.308 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025761.309 * * [misc]simplify: iters left: 6 (15 enodes) 1537025761.313 * * [misc]simplify: iters left: 5 (27 enodes) 1537025761.318 * * [misc]simplify: iters left: 4 (42 enodes) 1537025761.325 * * [misc]simplify: iters left: 3 (46 enodes) 1537025761.332 * * [misc]simplify: iters left: 2 (49 enodes) 1537025761.341 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) 1537025761.342 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* n 2) PI) (- (/ k 2)))))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.342 * * * * [misc]progress: [ 115 / 235 ] simplifiying candidate # 1537025761.342 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025761.343 * * [misc]simplify: iters left: 6 (14 enodes) 1537025761.346 * * [misc]simplify: iters left: 5 (22 enodes) 1537025761.352 * * [misc]simplify: iters left: 4 (30 enodes) 1537025761.358 * * [misc]simplify: iters left: 3 (32 enodes) 1537025761.369 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) 1537025761.369 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* n 2) PI) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.369 * * * * [misc]progress: [ 116 / 235 ] simplifiying candidate # 1537025761.370 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1537025761.370 * * [misc]simplify: iters left: 6 (6 enodes) 1537025761.373 * * [misc]simplify: iters left: 5 (10 enodes) 1537025761.377 * * [misc]simplify: iters left: 4 (16 enodes) 1537025761.381 * * [misc]simplify: iters left: 3 (18 enodes) 1537025761.385 * * [misc]simplify: iters left: 2 (23 enodes) 1537025761.391 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537025761.391 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (* (* 2 n) PI)) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025761.391 * * * * [misc]progress: [ 117 / 235 ] simplifiying candidate # 1537025761.392 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1537025761.393 * * [misc]simplify: iters left: 6 (9 enodes) 1537025761.396 * * [misc]simplify: iters left: 5 (11 enodes) 1537025761.400 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) 1537025761.400 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (/ (- k) 2))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1537025761.400 * * * * [misc]progress: [ 118 / 235 ] simplifiying candidate # 1537025761.401 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025761.402 * * [misc]simplify: iters left: 6 (14 enodes) 1537025761.407 * * [misc]simplify: iters left: 5 (22 enodes) 1537025761.415 * * [misc]simplify: iters left: 4 (28 enodes) 1537025761.424 * * [misc]simplify: iters left: 3 (29 enodes) 1537025761.435 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) 1537025761.435 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (/ (sqrt (sqrt k)) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (cbrt (pow (* n (* PI 2)) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.435 * * * * [misc]progress: [ 119 / 235 ] simplifiying candidate # 1537025761.435 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025761.436 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.441 * * [misc]simplify: iters left: 5 (19 enodes) 1537025761.449 * * [misc]simplify: iters left: 4 (25 enodes) 1537025761.457 * * [misc]simplify: iters left: 3 (26 enodes) 1537025761.466 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) 1537025761.466 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- (/ k 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.466 * * * * [misc]progress: [ 120 / 235 ] simplifiying candidate # 1537025761.467 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1537025761.467 * * [misc]simplify: iters left: 4 (5 enodes) 1537025761.469 * * [misc]simplify: iters left: 3 (7 enodes) 1537025761.472 * * [misc]simplify: iters left: 2 (9 enodes) 1537025761.474 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537025761.474 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025761.474 * * * * [misc]progress: [ 121 / 235 ] simplifiying candidate # 1537025761.474 * [enter]simplify: Simplifying (/ 1 (pow PI (- (/ k 2)))) 1537025761.477 * * [misc]simplify: iters left: 6 (8 enodes) 1537025761.480 * * [misc]simplify: iters left: 5 (12 enodes) 1537025761.484 * [exit]simplify: Simplified to (/ 1 (pow PI (- (/ k 2)))) 1537025761.484 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1537025761.484 * * * * [misc]progress: [ 122 / 235 ] simplifiying candidate # 1537025761.484 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1537025761.486 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.492 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.500 * * [misc]simplify: iters left: 4 (29 enodes) 1537025761.509 * * [misc]simplify: iters left: 3 (30 enodes) 1537025761.520 * [exit]simplify: Simplified to (/ 1 (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))))) 1537025761.520 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (* (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))) (cbrt (pow (* (* 2 PI) n) (/ (- k) 2))))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.520 * * * * [misc]progress: [ 123 / 235 ] simplifiying candidate # 1537025761.520 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1537025761.521 * * [misc]simplify: iters left: 6 (12 enodes) 1537025761.526 * * [misc]simplify: iters left: 5 (20 enodes) 1537025761.533 * * [misc]simplify: iters left: 4 (26 enodes) 1537025761.541 * * [misc]simplify: iters left: 3 (27 enodes) 1537025761.550 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- k) 2)))) 1537025761.550 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ 1 (sqrt (pow (* 2 (* n PI)) (/ (- k) 2)))) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))))))) 1537025761.550 * * * * [misc]progress: [ 124 / 235 ] simplifiying candidate # 1537025761.551 * [enter]simplify: Simplifying (/ 1 1) 1537025761.551 * * [misc]simplify: iters left: 2 (2 enodes) 1537025761.552 * * [misc]simplify: iters left: 1 (4 enodes) 1537025761.553 * [exit]simplify: Simplified to 1 1537025761.553 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ 1 (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025761.553 * * * * [misc]progress: [ 125 / 235 ] simplifiying candidate # 1537025761.553 * * * * [misc]progress: [ 126 / 235 ] simplifiying candidate # 1537025761.553 * [enter]simplify: Simplifying (sqrt k) 1537025761.553 * * [misc]simplify: iters left: 1 (2 enodes) 1537025761.554 * [exit]simplify: Simplified to (sqrt k) 1537025761.554 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))))))) 1537025761.554 * * * * [misc]progress: [ 127 / 235 ] simplifiying candidate # 1537025761.554 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537025761.555 * * [misc]simplify: iters left: 3 (4 enodes) 1537025761.556 * * [misc]simplify: iters left: 2 (6 enodes) 1537025761.559 * * [misc]simplify: iters left: 1 (8 enodes) 1537025761.561 * [exit]simplify: Simplified to (sqrt k) 1537025761.561 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) 1537025761.561 * * * * [misc]progress: [ 128 / 235 ] simplifiying candidate # 1537025761.561 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1537025761.562 * * [misc]simplify: iters left: 6 (10 enodes) 1537025761.566 * * [misc]simplify: iters left: 5 (15 enodes) 1537025761.572 * * [misc]simplify: iters left: 4 (22 enodes) 1537025761.577 * * [misc]simplify: iters left: 3 (26 enodes) 1537025761.581 * [exit]simplify: Simplified to (sqrt k) 1537025761.581 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (/ (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (/ k 2)))))) 1537025761.581 * * * * [misc]progress: [ 129 / 235 ] simplifiying candidate # 1537025761.581 * [enter]simplify: Simplifying (sqrt k) 1537025761.581 * * [misc]simplify: iters left: 1 (2 enodes) 1537025761.581 * [exit]simplify: Simplified to (sqrt k) 1537025761.581 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (sqrt (* (* 2 n) PI)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1537025761.582 * * * * [misc]progress: [ 130 / 235 ] simplifiying candidate # 1537025761.582 * * * * [misc]progress: [ 131 / 235 ] simplifiying candidate # 1537025761.582 * [enter]simplify: Simplifying (- 1) 1537025761.582 * * [misc]simplify: iters left: 2 (2 enodes) 1537025761.583 * * [misc]simplify: iters left: 1 (5 enodes) 1537025761.583 * [exit]simplify: Simplified to -1 1537025761.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) -1)) 1537025761.583 * * * * [misc]progress: [ 132 / 235 ] simplifiying candidate # 1537025761.583 * * * * [misc]progress: [ 133 / 235 ] simplifiying candidate # 1537025761.583 * * * * [misc]progress: [ 134 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 135 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 136 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 137 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 138 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 139 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 140 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 141 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 142 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 143 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 144 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 145 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 146 / 235 ] simplifiying candidate # 1537025761.584 * * * * [misc]progress: [ 147 / 235 ] simplifiying candidate # 1537025761.584 * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) 1537025761.585 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.589 * * [misc]simplify: iters left: 5 (26 enodes) 1537025761.594 * * [misc]simplify: iters left: 4 (33 enodes) 1537025761.601 * * [misc]simplify: iters left: 3 (35 enodes) 1537025761.608 * [exit]simplify: Simplified to (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))) 1537025761.608 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))))) (cbrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))))) 1537025761.608 * * * * [misc]progress: [ 148 / 235 ] simplifiying candidate # 1537025761.608 * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI)))) 1537025761.609 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.613 * * [misc]simplify: iters left: 5 (26 enodes) 1537025761.618 * * [misc]simplify: iters left: 4 (33 enodes) 1537025761.623 * * [misc]simplify: iters left: 3 (35 enodes) 1537025761.631 * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))) 1537025761.631 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) (sqrt (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* PI (* n 2))))))) 1537025761.631 * * * * [misc]progress: [ 149 / 235 ] simplifiying candidate # 1537025761.631 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025761.633 * * [misc]simplify: iters left: 6 (17 enodes) 1537025761.640 * * [misc]simplify: iters left: 5 (24 enodes) 1537025761.648 * * [misc]simplify: iters left: 4 (28 enodes) 1537025761.657 * * [misc]simplify: iters left: 3 (29 enodes) 1537025761.667 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025761.667 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537025761.667 * * * * [misc]progress: [ 150 / 235 ] simplifiying candidate # 1537025761.668 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025761.669 * * [misc]simplify: iters left: 6 (14 enodes) 1537025761.673 * * [misc]simplify: iters left: 5 (20 enodes) 1537025761.677 * * [misc]simplify: iters left: 4 (26 enodes) 1537025761.682 * * [misc]simplify: iters left: 3 (28 enodes) 1537025761.688 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537025761.688 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)))) 1537025761.688 * * * * [misc]progress: [ 151 / 235 ] simplifiying candidate # 1537025761.689 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.690 * * [misc]simplify: iters left: 6 (17 enodes) 1537025761.693 * * [misc]simplify: iters left: 5 (24 enodes) 1537025761.697 * * [misc]simplify: iters left: 4 (28 enodes) 1537025761.702 * * [misc]simplify: iters left: 3 (29 enodes) 1537025761.707 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025761.707 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537025761.707 * * * * [misc]progress: [ 152 / 235 ] simplifiying candidate # 1537025761.707 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025761.708 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.712 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.716 * * [misc]simplify: iters left: 4 (27 enodes) 1537025761.720 * * [misc]simplify: iters left: 3 (28 enodes) 1537025761.725 * [exit]simplify: Simplified to (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537025761.725 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (cbrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))))) 1537025761.725 * * * * [misc]progress: [ 153 / 235 ] simplifiying candidate # 1537025761.725 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025761.727 * * [misc]simplify: iters left: 6 (17 enodes) 1537025761.734 * * [misc]simplify: iters left: 5 (24 enodes) 1537025761.742 * * [misc]simplify: iters left: 4 (28 enodes) 1537025761.751 * * [misc]simplify: iters left: 3 (29 enodes) 1537025761.758 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025761.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537025761.758 * * * * [misc]progress: [ 154 / 235 ] simplifiying candidate # 1537025761.759 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025761.760 * * [misc]simplify: iters left: 6 (14 enodes) 1537025761.762 * * [misc]simplify: iters left: 5 (20 enodes) 1537025761.768 * * [misc]simplify: iters left: 4 (26 enodes) 1537025761.772 * * [misc]simplify: iters left: 3 (28 enodes) 1537025761.777 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)) 1537025761.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (/ (- k) 2)))) (sqrt PI)))) 1537025761.777 * * * * [misc]progress: [ 155 / 235 ] simplifiying candidate # 1537025761.777 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.778 * * [misc]simplify: iters left: 6 (17 enodes) 1537025761.782 * * [misc]simplify: iters left: 5 (24 enodes) 1537025761.790 * * [misc]simplify: iters left: 4 (28 enodes) 1537025761.795 * * [misc]simplify: iters left: 3 (29 enodes) 1537025761.800 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025761.800 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537025761.800 * * * * [misc]progress: [ 156 / 235 ] simplifiying candidate # 1537025761.800 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025761.802 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.805 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.809 * * [misc]simplify: iters left: 4 (27 enodes) 1537025761.813 * * [misc]simplify: iters left: 3 (28 enodes) 1537025761.818 * [exit]simplify: Simplified to (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))) 1537025761.819 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (sqrt (/ (sqrt k) (pow (* n (* 2 PI)) (- (/ k 2))))) (sqrt (* n (* 2 PI)))))) 1537025761.819 * * * * [misc]progress: [ 157 / 235 ] simplifiying candidate # 1537025761.819 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025761.820 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.823 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.832 * * [misc]simplify: iters left: 4 (32 enodes) 1537025761.841 * * [misc]simplify: iters left: 3 (33 enodes) 1537025761.850 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537025761.850 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))))) 1537025761.850 * * * * [misc]progress: [ 158 / 235 ] simplifiying candidate # 1537025761.850 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025761.851 * * [misc]simplify: iters left: 6 (13 enodes) 1537025761.853 * * [misc]simplify: iters left: 5 (18 enodes) 1537025761.856 * * [misc]simplify: iters left: 4 (21 enodes) 1537025761.860 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537025761.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))))) 1537025761.860 * * * * [misc]progress: [ 159 / 235 ] simplifiying candidate # 1537025761.860 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.861 * * [misc]simplify: iters left: 6 (16 enodes) 1537025761.865 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.869 * * [misc]simplify: iters left: 4 (32 enodes) 1537025761.875 * * [misc]simplify: iters left: 3 (33 enodes) 1537025761.881 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537025761.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))))) 1537025761.881 * * * * [misc]progress: [ 160 / 235 ] simplifiying candidate # 1537025761.881 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025761.882 * * [misc]simplify: iters left: 6 (15 enodes) 1537025761.885 * * [misc]simplify: iters left: 5 (22 enodes) 1537025761.890 * * [misc]simplify: iters left: 4 (31 enodes) 1537025761.894 * * [misc]simplify: iters left: 3 (32 enodes) 1537025761.901 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025761.901 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- (/ k 2)))) 1)) (/ (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537025761.901 * * * * [misc]progress: [ 161 / 235 ] simplifiying candidate # 1537025761.901 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025761.902 * * [misc]simplify: iters left: 6 (18 enodes) 1537025761.906 * * [misc]simplify: iters left: 5 (27 enodes) 1537025761.911 * * [misc]simplify: iters left: 4 (34 enodes) 1537025761.919 * * [misc]simplify: iters left: 3 (35 enodes) 1537025761.933 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025761.933 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025761.933 * * * * [misc]progress: [ 162 / 235 ] simplifiying candidate # 1537025761.934 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025761.935 * * [misc]simplify: iters left: 6 (15 enodes) 1537025761.942 * * [misc]simplify: iters left: 5 (23 enodes) 1537025761.950 * * [misc]simplify: iters left: 4 (32 enodes) 1537025761.960 * * [misc]simplify: iters left: 3 (33 enodes) 1537025761.972 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025761.972 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025761.973 * * * * [misc]progress: [ 163 / 235 ] simplifiying candidate # 1537025761.973 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025761.975 * * [misc]simplify: iters left: 6 (18 enodes) 1537025761.983 * * [misc]simplify: iters left: 5 (27 enodes) 1537025761.992 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.002 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.016 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.016 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.016 * * * * [misc]progress: [ 164 / 235 ] simplifiying candidate # 1537025762.016 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025762.018 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.025 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.035 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.047 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.059 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025762.059 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537025762.059 * * * * [misc]progress: [ 165 / 235 ] simplifiying candidate # 1537025762.060 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.062 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.070 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.079 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.090 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.103 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.103 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.103 * * * * [misc]progress: [ 166 / 235 ] simplifiying candidate # 1537025762.104 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025762.105 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.112 * * [misc]simplify: iters left: 5 (23 enodes) 1537025762.118 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.123 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.129 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.129 * * * * [misc]progress: [ 167 / 235 ] simplifiying candidate # 1537025762.129 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.130 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.134 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.139 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.146 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.154 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.154 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.154 * * * * [misc]progress: [ 168 / 235 ] simplifiying candidate # 1537025762.154 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025762.156 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.164 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.173 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.183 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.196 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025762.196 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (cbrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537025762.196 * * * * [misc]progress: [ 169 / 235 ] simplifiying candidate # 1537025762.197 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.199 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.206 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.216 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.223 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.229 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537025762.229 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537025762.229 * * * * [misc]progress: [ 170 / 235 ] simplifiying candidate # 1537025762.229 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025762.230 * * [misc]simplify: iters left: 6 (14 enodes) 1537025762.233 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.237 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.242 * * [misc]simplify: iters left: 3 (32 enodes) 1537025762.251 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537025762.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (* 2 n)))) (/ (/ (cbrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537025762.251 * * * * [misc]progress: [ 171 / 235 ] simplifiying candidate # 1537025762.251 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.253 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.260 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.269 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.280 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.292 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537025762.293 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (cbrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537025762.293 * * * * [misc]progress: [ 172 / 235 ] simplifiying candidate # 1537025762.293 * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025762.295 * * [misc]simplify: iters left: 6 (16 enodes) 1537025762.302 * * [misc]simplify: iters left: 5 (25 enodes) 1537025762.311 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.321 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.333 * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537025762.333 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1)) (/ (/ (cbrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))))) 1537025762.333 * * * * [misc]progress: [ 173 / 235 ] simplifiying candidate # 1537025762.333 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.335 * * [misc]simplify: iters left: 6 (16 enodes) 1537025762.341 * * [misc]simplify: iters left: 5 (23 enodes) 1537025762.350 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.360 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.374 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))) 1537025762.374 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* n (* PI 2))))))) 1537025762.374 * * * * [misc]progress: [ 174 / 235 ] simplifiying candidate # 1537025762.374 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025762.376 * * [misc]simplify: iters left: 6 (13 enodes) 1537025762.381 * * [misc]simplify: iters left: 5 (18 enodes) 1537025762.387 * * [misc]simplify: iters left: 4 (21 enodes) 1537025762.394 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))) 1537025762.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n 2) (- (/ k 2)))))) 1537025762.395 * * * * [misc]progress: [ 175 / 235 ] simplifiying candidate # 1537025762.395 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.397 * * [misc]simplify: iters left: 6 (16 enodes) 1537025762.401 * * [misc]simplify: iters left: 5 (23 enodes) 1537025762.406 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.411 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.417 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))) 1537025762.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* n (* PI 2))))))) 1537025762.417 * * * * [misc]progress: [ 176 / 235 ] simplifiying candidate # 1537025762.417 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025762.418 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.421 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.426 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.431 * * [misc]simplify: iters left: 3 (32 enodes) 1537025762.437 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025762.437 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (pow PI (- (/ k 2)))) 1)) (/ (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537025762.437 * * * * [misc]progress: [ 177 / 235 ] simplifiying candidate # 1537025762.437 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.439 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.442 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.452 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.464 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.477 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.477 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.478 * * * * [misc]progress: [ 178 / 235 ] simplifiying candidate # 1537025762.478 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025762.479 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.485 * * [misc]simplify: iters left: 5 (23 enodes) 1537025762.494 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.504 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.516 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.516 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.517 * * * * [misc]progress: [ 179 / 235 ] simplifiying candidate # 1537025762.517 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.519 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.526 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.530 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.535 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.542 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.542 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (cbrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.542 * * * * [misc]progress: [ 180 / 235 ] simplifiying candidate # 1537025762.543 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025762.544 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.547 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.553 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.565 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.577 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025762.577 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (cbrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537025762.577 * * * * [misc]progress: [ 181 / 235 ] simplifiying candidate # 1537025762.578 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.580 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.587 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.597 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.605 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.612 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.612 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.613 * * * * [misc]progress: [ 182 / 235 ] simplifiying candidate # 1537025762.613 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025762.614 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.617 * * [misc]simplify: iters left: 5 (23 enodes) 1537025762.621 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.626 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.632 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.633 * * * * [misc]progress: [ 183 / 235 ] simplifiying candidate # 1537025762.633 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.634 * * [misc]simplify: iters left: 6 (18 enodes) 1537025762.638 * * [misc]simplify: iters left: 5 (27 enodes) 1537025762.643 * * [misc]simplify: iters left: 4 (34 enodes) 1537025762.649 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.660 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))) 1537025762.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* (* PI 2) n)))) (sqrt (pow (* (* PI 2) n) (/ (- k) 2)))))) 1537025762.660 * * * * [misc]progress: [ 184 / 235 ] simplifiying candidate # 1537025762.661 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025762.663 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.670 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.678 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.689 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.701 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))) 1537025762.701 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (sqrt (sqrt k)) (sqrt (* n (* PI 2)))) (sqrt (pow (* n (* PI 2)) (/ (- k) 2)))))) 1537025762.701 * * * * [misc]progress: [ 185 / 235 ] simplifiying candidate # 1537025762.701 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.703 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.710 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.720 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.730 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.737 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))) 1537025762.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (cbrt (sqrt (* n (* PI 2))))))) 1537025762.737 * * * * [misc]progress: [ 186 / 235 ] simplifiying candidate # 1537025762.737 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025762.738 * * [misc]simplify: iters left: 6 (14 enodes) 1537025762.741 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.745 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.750 * * [misc]simplify: iters left: 3 (32 enodes) 1537025762.757 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))) 1537025762.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (sqrt (* 2 n)))) (/ (/ (sqrt (sqrt k)) (sqrt PI)) (pow (* n (* PI 2)) (- (/ k 2)))))) 1537025762.757 * * * * [misc]progress: [ 187 / 235 ] simplifiying candidate # 1537025762.757 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.758 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.762 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.767 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.772 * * [misc]simplify: iters left: 3 (35 enodes) 1537025762.778 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))) 1537025762.778 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt (sqrt k)) (pow (* n (* PI 2)) (/ (- k) 2))) (sqrt (sqrt (* n (* PI 2))))))) 1537025762.778 * * * * [misc]progress: [ 188 / 235 ] simplifiying candidate # 1537025762.779 * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025762.780 * * [misc]simplify: iters left: 6 (16 enodes) 1537025762.783 * * [misc]simplify: iters left: 5 (25 enodes) 1537025762.788 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.793 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.799 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))) 1537025762.799 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt (sqrt k)) 1) 1)) (/ (/ (sqrt (sqrt k)) (pow (* (* PI 2) n) (/ (- k) 2))) (sqrt (* (* PI 2) n))))) 1537025762.799 * * * * [misc]progress: [ 189 / 235 ] simplifiying candidate # 1537025762.799 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.800 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.803 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.811 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.821 * * [misc]simplify: iters left: 3 (32 enodes) 1537025762.834 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))) 1537025762.834 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (cbrt (sqrt (* (* PI 2) n)))))) 1537025762.834 * * * * [misc]progress: [ 190 / 235 ] simplifiying candidate # 1537025762.834 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt PI)) 1537025762.836 * * [misc]simplify: iters left: 6 (12 enodes) 1537025762.838 * * [misc]simplify: iters left: 5 (17 enodes) 1537025762.841 * * [misc]simplify: iters left: 4 (20 enodes) 1537025762.845 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))) 1537025762.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n 2) (/ (- k) 2))))) 1537025762.845 * * * * [misc]progress: [ 191 / 235 ] simplifiying candidate # 1537025762.845 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.846 * * [misc]simplify: iters left: 6 (15 enodes) 1537025762.849 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.853 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.858 * * [misc]simplify: iters left: 3 (32 enodes) 1537025762.864 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))) 1537025762.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (sqrt (* (* PI 2) n)))))) 1537025762.864 * * * * [misc]progress: [ 192 / 235 ] simplifiying candidate # 1537025762.864 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025762.865 * * [misc]simplify: iters left: 6 (14 enodes) 1537025762.868 * * [misc]simplify: iters left: 5 (21 enodes) 1537025762.872 * * [misc]simplify: iters left: 4 (30 enodes) 1537025762.877 * * [misc]simplify: iters left: 3 (31 enodes) 1537025762.883 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))) 1537025762.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (pow PI (- (/ k 2)))) 1)) (/ (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) (sqrt (* 2 (* n PI)))))) 1537025762.883 * * * * [misc]progress: [ 193 / 235 ] simplifiying candidate # 1537025762.883 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.885 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.888 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.894 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.904 * * [misc]simplify: iters left: 3 (34 enodes) 1537025762.920 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025762.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537025762.920 * * * * [misc]progress: [ 194 / 235 ] simplifiying candidate # 1537025762.920 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025762.921 * * [misc]simplify: iters left: 6 (14 enodes) 1537025762.927 * * [misc]simplify: iters left: 5 (22 enodes) 1537025762.936 * * [misc]simplify: iters left: 4 (31 enodes) 1537025762.943 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.949 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025762.949 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (cbrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025762.949 * * * * [misc]progress: [ 195 / 235 ] simplifiying candidate # 1537025762.949 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025762.950 * * [misc]simplify: iters left: 6 (17 enodes) 1537025762.954 * * [misc]simplify: iters left: 5 (26 enodes) 1537025762.958 * * [misc]simplify: iters left: 4 (33 enodes) 1537025762.963 * * [misc]simplify: iters left: 3 (34 enodes) 1537025762.970 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025762.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537025762.970 * * * * [misc]progress: [ 196 / 235 ] simplifiying candidate # 1537025762.970 * [enter]simplify: Simplifying (/ (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025762.971 * * [misc]simplify: iters left: 6 (16 enodes) 1537025762.975 * * [misc]simplify: iters left: 5 (25 enodes) 1537025762.980 * * [misc]simplify: iters left: 4 (32 enodes) 1537025762.984 * * [misc]simplify: iters left: 3 (33 enodes) 1537025762.993 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537025762.993 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (* (cbrt (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- (/ k 2)))))) 1)) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (cbrt (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537025762.993 * * * * [misc]progress: [ 197 / 235 ] simplifiying candidate # 1537025762.996 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025762.998 * * [misc]simplify: iters left: 6 (17 enodes) 1537025763.005 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.014 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.024 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.037 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))) 1537025763.037 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (cbrt (sqrt (* 2 (* PI n))))))) 1537025763.038 * * * * [misc]progress: [ 198 / 235 ] simplifiying candidate # 1537025763.038 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt PI)) 1537025763.039 * * [misc]simplify: iters left: 6 (14 enodes) 1537025763.045 * * [misc]simplify: iters left: 5 (22 enodes) 1537025763.053 * * [misc]simplify: iters left: 4 (31 enodes) 1537025763.064 * * [misc]simplify: iters left: 3 (33 enodes) 1537025763.075 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))) 1537025763.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (sqrt (pow (* PI (* n 2)) (/ (- k) 2)))))) 1537025763.076 * * * * [misc]progress: [ 199 / 235 ] simplifiying candidate # 1537025763.076 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.078 * * [misc]simplify: iters left: 6 (17 enodes) 1537025763.086 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.095 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.104 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.118 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))) 1537025763.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- (/ k 2))))) (sqrt (sqrt (* 2 (* PI n))))))) 1537025763.118 * * * * [misc]progress: [ 200 / 235 ] simplifiying candidate # 1537025763.118 * [enter]simplify: Simplifying (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI))) 1537025763.122 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.129 * * [misc]simplify: iters left: 5 (25 enodes) 1537025763.138 * * [misc]simplify: iters left: 4 (32 enodes) 1537025763.143 * * [misc]simplify: iters left: 3 (33 enodes) 1537025763.149 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))) 1537025763.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 (sqrt (pow (* PI (* n 2)) (- (/ k 2))))) 1)) (/ (/ (sqrt k) (sqrt (* n (* 2 PI)))) (sqrt (pow (* n (* 2 PI)) (- (/ k 2))))))) 1537025763.149 * * * * [misc]progress: [ 201 / 235 ] simplifiying candidate # 1537025763.149 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025763.150 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.154 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.159 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.164 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.176 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537025763.176 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))))) 1537025763.176 * * * * [misc]progress: [ 202 / 235 ] simplifiying candidate # 1537025763.177 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025763.178 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.184 * * [misc]simplify: iters left: 5 (21 enodes) 1537025763.188 * * [misc]simplify: iters left: 4 (30 enodes) 1537025763.193 * * [misc]simplify: iters left: 3 (32 enodes) 1537025763.198 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537025763.198 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537025763.199 * * * * [misc]progress: [ 203 / 235 ] simplifiying candidate # 1537025763.199 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.200 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.204 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.210 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.215 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.223 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537025763.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))))) 1537025763.223 * * * * [misc]progress: [ 204 / 235 ] simplifiying candidate # 1537025763.223 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025763.225 * * [misc]simplify: iters left: 6 (15 enodes) 1537025763.232 * * [misc]simplify: iters left: 5 (25 enodes) 1537025763.238 * * [misc]simplify: iters left: 4 (32 enodes) 1537025763.243 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.249 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537025763.249 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ 1 1) 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537025763.249 * * * * [misc]progress: [ 205 / 235 ] simplifiying candidate # 1537025763.249 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025763.250 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.254 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.259 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.264 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.270 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))) 1537025763.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* PI (* n 2))))))) 1537025763.270 * * * * [misc]progress: [ 206 / 235 ] simplifiying candidate # 1537025763.270 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025763.271 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.276 * * [misc]simplify: iters left: 5 (21 enodes) 1537025763.284 * * [misc]simplify: iters left: 4 (30 enodes) 1537025763.296 * * [misc]simplify: iters left: 3 (32 enodes) 1537025763.308 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))) 1537025763.308 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (* 2 n)))) (/ (/ (sqrt k) (sqrt PI)) (pow (* n (* 2 PI)) (/ (- k) 2))))) 1537025763.308 * * * * [misc]progress: [ 207 / 235 ] simplifiying candidate # 1537025763.308 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.310 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.317 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.321 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.326 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.332 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))) 1537025763.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* PI (* n 2))))))) 1537025763.332 * * * * [misc]progress: [ 208 / 235 ] simplifiying candidate # 1537025763.333 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025763.334 * * [misc]simplify: iters left: 6 (15 enodes) 1537025763.337 * * [misc]simplify: iters left: 5 (25 enodes) 1537025763.342 * * [misc]simplify: iters left: 4 (32 enodes) 1537025763.349 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.362 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537025763.362 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537025763.362 * * * * [misc]progress: [ 209 / 235 ] simplifiying candidate # 1537025763.362 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (cbrt (sqrt (* (* 2 n) PI)))) 1537025763.364 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.371 * * [misc]simplify: iters left: 5 (27 enodes) 1537025763.380 * * [misc]simplify: iters left: 4 (34 enodes) 1537025763.390 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.404 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))) 1537025763.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (cbrt (sqrt (* n (* 2 PI))))))) 1537025763.404 * * * * [misc]progress: [ 210 / 235 ] simplifiying candidate # 1537025763.405 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt PI)) 1537025763.406 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.412 * * [misc]simplify: iters left: 5 (23 enodes) 1537025763.421 * * [misc]simplify: iters left: 4 (32 enodes) 1537025763.431 * * [misc]simplify: iters left: 3 (33 enodes) 1537025763.442 * [exit]simplify: Simplified to (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))) 1537025763.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (sqrt (* 2 n)))) (/ (/ 1 (sqrt PI)) (pow (* (* 2 PI) n) (/ (- k) 2))))) 1537025763.442 * * * * [misc]progress: [ 211 / 235 ] simplifiying candidate # 1537025763.442 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.444 * * [misc]simplify: iters left: 6 (16 enodes) 1537025763.451 * * [misc]simplify: iters left: 5 (27 enodes) 1537025763.460 * * [misc]simplify: iters left: 4 (34 enodes) 1537025763.470 * * [misc]simplify: iters left: 3 (35 enodes) 1537025763.482 * [exit]simplify: Simplified to (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))) 1537025763.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (sqrt (sqrt (* (* 2 n) PI))))) (/ (/ 1 (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (sqrt (* n (* 2 PI))))))) 1537025763.482 * * * * [misc]progress: [ 212 / 235 ] simplifiying candidate # 1537025763.482 * [enter]simplify: Simplifying (/ (/ 1 (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025763.484 * * [misc]simplify: iters left: 6 (15 enodes) 1537025763.491 * * [misc]simplify: iters left: 5 (26 enodes) 1537025763.500 * * [misc]simplify: iters left: 4 (33 enodes) 1537025763.509 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.521 * [exit]simplify: Simplified to (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))) 1537025763.521 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) 1)) (/ (/ 1 (pow (* 2 (* n PI)) (- (/ k 2)))) (sqrt (* 2 (* n PI)))))) 1537025763.521 * * * * [misc]progress: [ 213 / 235 ] simplifiying candidate # 1537025763.522 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537025763.523 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.531 * * [misc]simplify: iters left: 5 (18 enodes) 1537025763.537 * * [misc]simplify: iters left: 4 (22 enodes) 1537025763.544 * * [misc]simplify: iters left: 3 (23 enodes) 1537025763.548 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537025763.548 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))))) 1537025763.548 * * * * [misc]progress: [ 214 / 235 ] simplifiying candidate # 1537025763.548 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537025763.548 * * [misc]simplify: iters left: 6 (10 enodes) 1537025763.551 * * [misc]simplify: iters left: 5 (14 enodes) 1537025763.553 * * [misc]simplify: iters left: 4 (20 enodes) 1537025763.557 * * [misc]simplify: iters left: 3 (22 enodes) 1537025763.560 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537025763.560 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537025763.561 * * * * [misc]progress: [ 215 / 235 ] simplifiying candidate # 1537025763.561 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.561 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.564 * * [misc]simplify: iters left: 5 (18 enodes) 1537025763.567 * * [misc]simplify: iters left: 4 (22 enodes) 1537025763.571 * * [misc]simplify: iters left: 3 (23 enodes) 1537025763.575 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537025763.575 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))))) 1537025763.575 * * * * [misc]progress: [ 216 / 235 ] simplifiying candidate # 1537025763.575 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025763.576 * * [misc]simplify: iters left: 6 (12 enodes) 1537025763.578 * * [misc]simplify: iters left: 5 (17 enodes) 1537025763.581 * * [misc]simplify: iters left: 4 (21 enodes) 1537025763.585 * * [misc]simplify: iters left: 3 (22 enodes) 1537025763.589 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025763.589 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) 1)) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1537025763.589 * * * * [misc]progress: [ 217 / 235 ] simplifiying candidate # 1537025763.589 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (cbrt (sqrt (* (* 2 n) PI)))) 1537025763.590 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.593 * * [misc]simplify: iters left: 5 (18 enodes) 1537025763.597 * * [misc]simplify: iters left: 4 (22 enodes) 1537025763.604 * * [misc]simplify: iters left: 3 (23 enodes) 1537025763.614 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))) 1537025763.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (* (cbrt (sqrt (* (* 2 n) PI))) (cbrt (sqrt (* (* 2 n) PI)))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (cbrt (sqrt (* PI (* 2 n))))))) 1537025763.614 * * * * [misc]progress: [ 218 / 235 ] simplifiying candidate # 1537025763.614 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537025763.615 * * [misc]simplify: iters left: 6 (10 enodes) 1537025763.619 * * [misc]simplify: iters left: 5 (14 enodes) 1537025763.625 * * [misc]simplify: iters left: 4 (20 enodes) 1537025763.632 * * [misc]simplify: iters left: 3 (22 enodes) 1537025763.637 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537025763.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537025763.638 * * * * [misc]progress: [ 219 / 235 ] simplifiying candidate # 1537025763.638 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (sqrt (* (* 2 n) PI)))) 1537025763.638 * * [misc]simplify: iters left: 6 (13 enodes) 1537025763.641 * * [misc]simplify: iters left: 5 (18 enodes) 1537025763.645 * * [misc]simplify: iters left: 4 (22 enodes) 1537025763.648 * * [misc]simplify: iters left: 3 (23 enodes) 1537025763.652 * [exit]simplify: Simplified to (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))) 1537025763.652 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) (sqrt (sqrt (* (* 2 n) PI))))) (/ (pow (* PI (* 2 n)) (/ k 2)) (sqrt (sqrt (* PI (* 2 n))))))) 1537025763.652 * * * * [misc]progress: [ 220 / 235 ] simplifiying candidate # 1537025763.653 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025763.653 * * [misc]simplify: iters left: 6 (12 enodes) 1537025763.656 * * [misc]simplify: iters left: 5 (17 enodes) 1537025763.659 * * [misc]simplify: iters left: 4 (21 enodes) 1537025763.662 * * [misc]simplify: iters left: 3 (22 enodes) 1537025763.666 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))) 1537025763.666 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 0)) 1)) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt (* (* 2 n) PI))))) 1537025763.666 * * * * [misc]progress: [ 221 / 235 ] simplifiying candidate # 1537025763.666 * [enter]simplify: Simplifying (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* 2 n) PI))) 1537025763.667 * * [misc]simplify: iters left: 6 (15 enodes) 1537025763.670 * * [misc]simplify: iters left: 5 (25 enodes) 1537025763.675 * * [misc]simplify: iters left: 4 (32 enodes) 1537025763.680 * * [misc]simplify: iters left: 3 (34 enodes) 1537025763.686 * [exit]simplify: Simplified to (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))) 1537025763.686 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (/ (sqrt k) (pow (* n (* 2 PI)) (/ (- k) 2))) (sqrt (* n (* 2 PI)))))) 1537025763.686 * * * * [misc]progress: [ 222 / 235 ] simplifiying candidate # 1537025763.686 * [enter]simplify: Simplifying (/ 1 (sqrt (* (* 2 n) PI))) 1537025763.688 * * [misc]simplify: iters left: 6 (8 enodes) 1537025763.689 * * [misc]simplify: iters left: 5 (14 enodes) 1537025763.692 * * [misc]simplify: iters left: 4 (20 enodes) 1537025763.695 * * [misc]simplify: iters left: 3 (21 enodes) 1537025763.699 * [exit]simplify: Simplified to (/ 1 (sqrt (* (* PI n) 2))) 1537025763.699 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (/ 1 (sqrt (* (* PI n) 2))))) 1537025763.699 * * * * [misc]progress: [ 223 / 235 ] simplifiying candidate # 1537025763.699 * [enter]simplify: Simplifying (sqrt (* (* 2 n) PI)) 1537025763.699 * * [misc]simplify: iters left: 5 (6 enodes) 1537025763.701 * * [misc]simplify: iters left: 4 (10 enodes) 1537025763.703 * * [misc]simplify: iters left: 3 (16 enodes) 1537025763.706 * * [misc]simplify: iters left: 2 (18 enodes) 1537025763.709 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1537025763.709 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))) (sqrt (* (* 2 n) PI)))) 1537025763.709 * * * * [misc]progress: [ 224 / 235 ] simplifiying candidate # 1537025763.709 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.710 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.712 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.716 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.721 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.726 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.726 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537025763.726 * * * * [misc]progress: [ 225 / 235 ] simplifiying candidate # 1537025763.727 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.727 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.730 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.734 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.739 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.745 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.745 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537025763.745 * * * * [misc]progress: [ 226 / 235 ] simplifiying candidate # 1537025763.745 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.745 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.748 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.752 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.757 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.762 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.762 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt (* (* 2 n) PI))))) 1537025763.763 * * * * [misc]progress: [ 227 / 235 ] simplifiying candidate # 1537025763.763 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.763 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.766 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.769 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.771 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.774 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.774 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537025763.774 * * * * [misc]progress: [ 228 / 235 ] simplifiying candidate # 1537025763.774 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.775 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.776 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.778 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.781 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.785 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.785 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537025763.785 * * * * [misc]progress: [ 229 / 235 ] simplifiying candidate # 1537025763.785 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025763.785 * * [misc]simplify: iters left: 4 (5 enodes) 1537025763.786 * * [misc]simplify: iters left: 3 (9 enodes) 1537025763.788 * * [misc]simplify: iters left: 2 (15 enodes) 1537025763.791 * * [misc]simplify: iters left: 1 (17 enodes) 1537025763.794 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025763.794 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) (sqrt (* (* PI n) 2))))) 1537025763.794 * * * * [misc]progress: [ 230 / 235 ] simplifiying candidate # 1537025763.794 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (pow k 2) (log (* 2 PI))) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ k (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) (* n PI)))) (- (+ (* +nan.0 (/ (* (pow k 3) (pow (log (* 2 PI)) 2)) (* (sqrt 2) (* n PI)))) (- (* +nan.0 (/ (* (pow k 3) (* (log n) (log (* 2 PI)))) (* (sqrt 2) (* n PI))))))))))))))) 1537025763.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537025763.794 * * * * [misc]progress: [ 231 / 235 ] simplifiying candidate # 1537025763.794 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (* (pow PI 3) (pow k 2))))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) (* (pow PI 2) k))))))))))) 1537025763.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537025763.794 * * * * [misc]progress: [ 232 / 235 ] simplifiying candidate # 1537025763.795 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) PI))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log (* -2 PI)) (log (/ -1 n))) k))) (* PI k))))))))) 1537025763.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1537025763.795 * * * * [misc]progress: [ 233 / 235 ] simplifiying candidate # 1537025763.795 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (pow (log n) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (pow (log (* 2 PI)) 2) (* (sqrt 2) (* n (* PI (pow k 2)))))) (- (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI (* (log n) (pow k 2)))))))))))))))))) 1537025763.795 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025763.795 * * * * [misc]progress: [ 234 / 235 ] simplifiying candidate # 1537025763.795 * [enter]simplify: Simplifying (* +nan.0 (/ (* (exp (* -1/2 (* (- (log (* 2 PI)) (log (/ 1 n))) k))) (* (sqrt 2) (* n PI))) k)) 1537025763.795 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025763.795 * * * * [misc]progress: [ 235 / 235 ] simplifiying candidate # 1537025763.795 * [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))))))) 1537025763.795 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1537025763.795 * * * [misc]progress: adding candidates to table 1537025770.809 * * [misc]progress: iteration 4 / 4 1537025770.809 * * * [misc]progress: picking best candidate 1537025770.895 * * * * [misc]pick: Picked # 1537025770.895 * * * [misc]progress: localizing error 1537025770.964 * * * [misc]progress: generating rewritten candidates 1537025770.964 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1537025770.966 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) 1537025771.030 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) 1537025771.089 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1) 1537025771.115 * * * [misc]progress: generating series expansions 1537025771.115 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1537025771.115 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) 1537025771.116 * [misc]backup-simplify: Simplify (/ (/ (sqrt k) 1) (sqrt (* 2 n))) into (* (/ 1 (sqrt 2)) (sqrt (/ k n))) 1537025771.116 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in (k n) around 0 1537025771.116 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in n 1537025771.116 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537025771.116 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.116 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.116 * [misc]backup-simplify: Simplify 2 into 2 1537025771.116 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.116 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.117 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.117 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1537025771.117 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1537025771.117 * [misc]taylor: Taking taylor expansion of k in n 1537025771.117 * [misc]backup-simplify: Simplify k into k 1537025771.117 * [misc]taylor: Taking taylor expansion of n in n 1537025771.117 * [misc]backup-simplify: Simplify 0 into 0 1537025771.117 * [misc]backup-simplify: Simplify 1 into 1 1537025771.117 * [misc]backup-simplify: Simplify (/ k 1) into k 1537025771.117 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.117 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1537025771.117 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in k 1537025771.118 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537025771.118 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.118 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.118 * [misc]backup-simplify: Simplify 2 into 2 1537025771.118 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.118 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.118 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.118 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537025771.118 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537025771.118 * [misc]taylor: Taking taylor expansion of k in k 1537025771.118 * [misc]backup-simplify: Simplify 0 into 0 1537025771.118 * [misc]backup-simplify: Simplify 1 into 1 1537025771.118 * [misc]taylor: Taking taylor expansion of n in k 1537025771.118 * [misc]backup-simplify: Simplify n into n 1537025771.119 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537025771.119 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.119 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537025771.119 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ k n))) in k 1537025771.119 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537025771.119 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.119 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.119 * [misc]backup-simplify: Simplify 2 into 2 1537025771.119 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.119 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.120 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.120 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537025771.120 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537025771.120 * [misc]taylor: Taking taylor expansion of k in k 1537025771.120 * [misc]backup-simplify: Simplify 0 into 0 1537025771.120 * [misc]backup-simplify: Simplify 1 into 1 1537025771.120 * [misc]taylor: Taking taylor expansion of n in k 1537025771.120 * [misc]backup-simplify: Simplify n into n 1537025771.120 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537025771.120 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.120 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537025771.121 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537025771.121 * [misc]taylor: Taking taylor expansion of 0 in n 1537025771.121 * [misc]backup-simplify: Simplify 0 into 0 1537025771.121 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.122 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) 1537025771.122 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) in n 1537025771.122 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) n))) in n 1537025771.122 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.122 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.122 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) n)) in n 1537025771.122 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1537025771.122 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.122 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.122 * [misc]backup-simplify: Simplify 2 into 2 1537025771.122 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.122 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.122 * [misc]taylor: Taking taylor expansion of n in n 1537025771.122 * [misc]backup-simplify: Simplify 0 into 0 1537025771.122 * [misc]backup-simplify: Simplify 1 into 1 1537025771.123 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025771.123 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1537025771.124 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.124 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537025771.125 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.125 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.125 * [misc]backup-simplify: Simplify 0 into 0 1537025771.126 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1537025771.126 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1537025771.128 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.128 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.129 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2))))) 1537025771.129 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2))))) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.129 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 2))) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.129 * [misc]backup-simplify: Simplify 2 into 2 1537025771.129 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.129 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.129 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025771.129 * [misc]taylor: Taking taylor expansion of n in n 1537025771.129 * [misc]backup-simplify: Simplify 0 into 0 1537025771.129 * [misc]backup-simplify: Simplify 1 into 1 1537025771.130 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.130 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025771.130 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.131 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.131 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537025771.131 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.131 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537025771.132 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.132 * [misc]backup-simplify: Simplify 0 into 0 1537025771.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.133 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1537025771.134 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.134 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537025771.134 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.134 * [misc]backup-simplify: Simplify 0 into 0 1537025771.134 * [misc]backup-simplify: Simplify 0 into 0 1537025771.134 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537025771.135 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1537025771.135 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.135 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.136 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3))))) 1537025771.136 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3))))) in n 1537025771.136 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) in n 1537025771.136 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.136 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.136 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 3))) in n 1537025771.136 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1537025771.136 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.136 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.137 * [misc]backup-simplify: Simplify 2 into 2 1537025771.137 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.137 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.137 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025771.137 * [misc]taylor: Taking taylor expansion of n in n 1537025771.137 * [misc]backup-simplify: Simplify 0 into 0 1537025771.137 * [misc]backup-simplify: Simplify 1 into 1 1537025771.137 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.137 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.138 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025771.138 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.138 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.139 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.139 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.139 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.140 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.141 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.141 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537025771.141 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.142 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.142 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537025771.142 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.142 * [misc]backup-simplify: Simplify 0 into 0 1537025771.143 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.144 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.144 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.145 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.145 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537025771.145 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.145 * [misc]backup-simplify: Simplify 0 into 0 1537025771.146 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) k)) into (* +nan.0 (/ k (* (sqrt 2) n))) 1537025771.146 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 k)) 1) (sqrt (* 2 (/ 1 n)))) into (* (/ 1 (sqrt 2)) (sqrt (/ n k))) 1537025771.146 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in (k n) around 0 1537025771.146 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in n 1537025771.146 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1537025771.146 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.146 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.146 * [misc]backup-simplify: Simplify 2 into 2 1537025771.147 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.147 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.147 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.147 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1537025771.147 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1537025771.147 * [misc]taylor: Taking taylor expansion of n in n 1537025771.147 * [misc]backup-simplify: Simplify 0 into 0 1537025771.147 * [misc]backup-simplify: Simplify 1 into 1 1537025771.147 * [misc]taylor: Taking taylor expansion of k in n 1537025771.147 * [misc]backup-simplify: Simplify k into k 1537025771.147 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025771.148 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.148 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1537025771.148 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in k 1537025771.148 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537025771.148 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.148 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.148 * [misc]backup-simplify: Simplify 2 into 2 1537025771.148 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.149 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.149 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537025771.149 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537025771.149 * [misc]taylor: Taking taylor expansion of n in k 1537025771.149 * [misc]backup-simplify: Simplify n into n 1537025771.149 * [misc]taylor: Taking taylor expansion of k in k 1537025771.149 * [misc]backup-simplify: Simplify 0 into 0 1537025771.149 * [misc]backup-simplify: Simplify 1 into 1 1537025771.149 * [misc]backup-simplify: Simplify (/ n 1) into n 1537025771.149 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.149 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537025771.149 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ n k))) in k 1537025771.150 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1537025771.150 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.150 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.150 * [misc]backup-simplify: Simplify 2 into 2 1537025771.150 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.150 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.150 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.150 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537025771.150 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537025771.151 * [misc]taylor: Taking taylor expansion of n in k 1537025771.151 * [misc]backup-simplify: Simplify n into n 1537025771.151 * [misc]taylor: Taking taylor expansion of k in k 1537025771.151 * [misc]backup-simplify: Simplify 0 into 0 1537025771.151 * [misc]backup-simplify: Simplify 1 into 1 1537025771.151 * [misc]backup-simplify: Simplify (/ n 1) into n 1537025771.151 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.151 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537025771.151 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1537025771.151 * [misc]taylor: Taking taylor expansion of 0 in n 1537025771.151 * [misc]backup-simplify: Simplify 0 into 0 1537025771.151 * [misc]backup-simplify: Simplify 0 into 0 1537025771.152 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.152 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ n (sqrt 2)))) 1537025771.152 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (sqrt 2)))) in n 1537025771.152 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (sqrt 2))) in n 1537025771.153 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.153 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.153 * [misc]taylor: Taking taylor expansion of (/ n (sqrt 2)) in n 1537025771.153 * [misc]taylor: Taking taylor expansion of n in n 1537025771.153 * [misc]backup-simplify: Simplify 0 into 0 1537025771.153 * [misc]backup-simplify: Simplify 1 into 1 1537025771.153 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.153 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.153 * [misc]backup-simplify: Simplify 2 into 2 1537025771.153 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.153 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.154 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.154 * [misc]backup-simplify: Simplify 0 into 0 1537025771.154 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1537025771.155 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1537025771.156 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.156 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.157 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (sqrt 2)))) 1537025771.157 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (sqrt 2)))) in n 1537025771.157 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (sqrt 2))) in n 1537025771.157 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.157 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.157 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (sqrt 2)) in n 1537025771.157 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025771.157 * [misc]taylor: Taking taylor expansion of n in n 1537025771.157 * [misc]backup-simplify: Simplify 0 into 0 1537025771.157 * [misc]backup-simplify: Simplify 1 into 1 1537025771.157 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.157 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.157 * [misc]backup-simplify: Simplify 2 into 2 1537025771.158 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.158 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.158 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.158 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.159 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537025771.159 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.160 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.160 * [misc]backup-simplify: Simplify 0 into 0 1537025771.161 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.161 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1537025771.162 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.163 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (sqrt 2)))) 1537025771.163 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (sqrt 2)))) in n 1537025771.163 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (sqrt 2))) in n 1537025771.163 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.163 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.163 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (sqrt 2)) in n 1537025771.163 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025771.163 * [misc]taylor: Taking taylor expansion of n in n 1537025771.163 * [misc]backup-simplify: Simplify 0 into 0 1537025771.163 * [misc]backup-simplify: Simplify 1 into 1 1537025771.163 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.163 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.163 * [misc]backup-simplify: Simplify 2 into 2 1537025771.164 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.164 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.164 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.164 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.165 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.165 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.165 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537025771.165 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.166 * [misc]backup-simplify: Simplify 0 into 0 1537025771.166 * [misc]backup-simplify: Simplify 0 into 0 1537025771.166 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.167 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 2)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 4)) 1537025771.169 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.169 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.170 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (sqrt 2)))) 1537025771.170 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (sqrt 2)))) in n 1537025771.170 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (sqrt 2))) in n 1537025771.170 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.170 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.170 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (sqrt 2)) in n 1537025771.170 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537025771.170 * [misc]taylor: Taking taylor expansion of n in n 1537025771.170 * [misc]backup-simplify: Simplify 0 into 0 1537025771.171 * [misc]backup-simplify: Simplify 1 into 1 1537025771.171 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.171 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.171 * [misc]backup-simplify: Simplify 2 into 2 1537025771.171 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.171 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.171 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.171 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.172 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.172 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537025771.173 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.173 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.175 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.175 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.176 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1537025771.176 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.176 * [misc]backup-simplify: Simplify 0 into 0 1537025771.176 * [misc]backup-simplify: Simplify 0 into 0 1537025771.177 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.177 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1537025771.178 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.178 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.179 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (sqrt 2)))) 1537025771.180 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (sqrt 2)))) in n 1537025771.180 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (sqrt 2))) in n 1537025771.180 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.180 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.180 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (sqrt 2)) in n 1537025771.180 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537025771.180 * [misc]taylor: Taking taylor expansion of n in n 1537025771.180 * [misc]backup-simplify: Simplify 0 into 0 1537025771.180 * [misc]backup-simplify: Simplify 1 into 1 1537025771.180 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.180 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.180 * [misc]backup-simplify: Simplify 2 into 2 1537025771.180 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.180 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.180 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.181 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.181 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.181 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.181 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.182 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1537025771.182 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1537025771.182 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.182 * [misc]backup-simplify: Simplify 0 into 0 1537025771.183 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.183 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.184 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2)))))) into 0 1537025771.184 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.184 * [misc]backup-simplify: Simplify 0 into 0 1537025771.184 * [misc]backup-simplify: Simplify 0 into 0 1537025771.185 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.186 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1537025771.188 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.188 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1537025771.189 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (sqrt 2)))) 1537025771.190 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (sqrt 2)))) in n 1537025771.190 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (sqrt 2))) in n 1537025771.190 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.190 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.190 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (sqrt 2)) in n 1537025771.190 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537025771.190 * [misc]taylor: Taking taylor expansion of n in n 1537025771.190 * [misc]backup-simplify: Simplify 0 into 0 1537025771.190 * [misc]backup-simplify: Simplify 1 into 1 1537025771.190 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.190 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.190 * [misc]backup-simplify: Simplify 2 into 2 1537025771.190 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.190 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.190 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.191 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.191 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.191 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1537025771.192 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1537025771.192 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.193 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1537025771.196 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) k)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) n))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow k 2)))))))))) 1537025771.196 * [misc]backup-simplify: Simplify (/ (/ (sqrt (/ 1 (- k))) 1) (sqrt (* 2 (/ 1 (- n))))) into (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) 1537025771.196 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in (k n) around 0 1537025771.196 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in n 1537025771.196 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025771.197 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025771.197 * [misc]taylor: Taking taylor expansion of -1 in n 1537025771.197 * [misc]backup-simplify: Simplify -1 into -1 1537025771.197 * [misc]taylor: Taking taylor expansion of k in n 1537025771.197 * [misc]backup-simplify: Simplify k into k 1537025771.197 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025771.197 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025771.197 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025771.197 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025771.197 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.197 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.197 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.197 * [misc]backup-simplify: Simplify -2 into -2 1537025771.197 * [misc]taylor: Taking taylor expansion of n in n 1537025771.197 * [misc]backup-simplify: Simplify 0 into 0 1537025771.197 * [misc]backup-simplify: Simplify 1 into 1 1537025771.197 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.198 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.198 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.198 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) +nan.0) into (* +nan.0 (sqrt (/ -1 k))) 1537025771.198 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in k 1537025771.198 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025771.198 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025771.198 * [misc]taylor: Taking taylor expansion of -1 in k 1537025771.198 * [misc]backup-simplify: Simplify -1 into -1 1537025771.198 * [misc]taylor: Taking taylor expansion of k in k 1537025771.198 * [misc]backup-simplify: Simplify 0 into 0 1537025771.198 * [misc]backup-simplify: Simplify 1 into 1 1537025771.199 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025771.199 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.199 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025771.199 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537025771.199 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537025771.199 * [misc]taylor: Taking taylor expansion of -2 in k 1537025771.199 * [misc]backup-simplify: Simplify -2 into -2 1537025771.199 * [misc]taylor: Taking taylor expansion of n in k 1537025771.199 * [misc]backup-simplify: Simplify n into n 1537025771.199 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537025771.199 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537025771.200 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537025771.200 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537025771.200 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -2 n))) into (/ +nan.0 (sqrt (/ -2 n))) 1537025771.200 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (sqrt (/ -2 n))) in k 1537025771.200 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025771.200 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025771.200 * [misc]taylor: Taking taylor expansion of -1 in k 1537025771.200 * [misc]backup-simplify: Simplify -1 into -1 1537025771.200 * [misc]taylor: Taking taylor expansion of k in k 1537025771.200 * [misc]backup-simplify: Simplify 0 into 0 1537025771.200 * [misc]backup-simplify: Simplify 1 into 1 1537025771.200 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025771.201 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.201 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025771.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537025771.201 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537025771.201 * [misc]taylor: Taking taylor expansion of -2 in k 1537025771.201 * [misc]backup-simplify: Simplify -2 into -2 1537025771.201 * [misc]taylor: Taking taylor expansion of n in k 1537025771.201 * [misc]backup-simplify: Simplify n into n 1537025771.201 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537025771.201 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537025771.201 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537025771.202 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537025771.202 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -2 n))) into (/ +nan.0 (sqrt (/ -2 n))) 1537025771.202 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (sqrt (/ -2 n))) in n 1537025771.202 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.202 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.202 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.202 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.202 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.202 * [misc]backup-simplify: Simplify -2 into -2 1537025771.202 * [misc]taylor: Taking taylor expansion of n in n 1537025771.202 * [misc]backup-simplify: Simplify 0 into 0 1537025771.202 * [misc]backup-simplify: Simplify 1 into 1 1537025771.202 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.203 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.203 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 1537025771.203 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.203 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025771.205 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025771.205 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt (/ -2 n))) (+ (* (/ +nan.0 (sqrt (/ -2 n))) (/ 0 (sqrt (/ -2 n)))))) into (- (* +nan.0 (/ 1 (sqrt (/ -2 n))))) 1537025771.205 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (sqrt (/ -2 n))))) in n 1537025771.205 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (sqrt (/ -2 n)))) in n 1537025771.205 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.205 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.205 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1537025771.205 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.205 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.205 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.205 * [misc]backup-simplify: Simplify -2 into -2 1537025771.205 * [misc]taylor: Taking taylor expansion of n in n 1537025771.205 * [misc]backup-simplify: Simplify 0 into 0 1537025771.205 * [misc]backup-simplify: Simplify 1 into 1 1537025771.205 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.206 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.206 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.206 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1537025771.206 * [misc]backup-simplify: Simplify (* +nan.0 +nan.0) into +nan.0 1537025771.207 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.207 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.207 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1537025771.208 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025771.209 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1537025771.209 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.210 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- +nan.0) (* 1 (/ 1 (- k)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537025771.210 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) 1537025771.210 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) into (* (sqrt 2) (sqrt (/ n k))) 1537025771.210 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in (k n) around 0 1537025771.210 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in n 1537025771.210 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.210 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.210 * [misc]backup-simplify: Simplify 2 into 2 1537025771.210 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.211 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.211 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1537025771.211 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1537025771.211 * [misc]taylor: Taking taylor expansion of n in n 1537025771.211 * [misc]backup-simplify: Simplify 0 into 0 1537025771.211 * [misc]backup-simplify: Simplify 1 into 1 1537025771.211 * [misc]taylor: Taking taylor expansion of k in n 1537025771.211 * [misc]backup-simplify: Simplify k into k 1537025771.211 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1537025771.211 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.211 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1537025771.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in k 1537025771.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.212 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.212 * [misc]backup-simplify: Simplify 2 into 2 1537025771.212 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.212 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537025771.212 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537025771.212 * [misc]taylor: Taking taylor expansion of n in k 1537025771.212 * [misc]backup-simplify: Simplify n into n 1537025771.212 * [misc]taylor: Taking taylor expansion of k in k 1537025771.212 * [misc]backup-simplify: Simplify 0 into 0 1537025771.212 * [misc]backup-simplify: Simplify 1 into 1 1537025771.212 * [misc]backup-simplify: Simplify (/ n 1) into n 1537025771.212 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.213 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537025771.213 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ n k))) in k 1537025771.213 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.213 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.213 * [misc]backup-simplify: Simplify 2 into 2 1537025771.213 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.213 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.213 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1537025771.213 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1537025771.213 * [misc]taylor: Taking taylor expansion of n in k 1537025771.213 * [misc]backup-simplify: Simplify n into n 1537025771.213 * [misc]taylor: Taking taylor expansion of k in k 1537025771.213 * [misc]backup-simplify: Simplify 0 into 0 1537025771.213 * [misc]backup-simplify: Simplify 1 into 1 1537025771.213 * [misc]backup-simplify: Simplify (/ n 1) into n 1537025771.214 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.214 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1537025771.214 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025771.214 * [misc]taylor: Taking taylor expansion of 0 in n 1537025771.214 * [misc]backup-simplify: Simplify 0 into 0 1537025771.214 * [misc]backup-simplify: Simplify 0 into 0 1537025771.215 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) n))) 1537025771.215 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) n))) in n 1537025771.215 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) n)) in n 1537025771.215 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.215 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.215 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1537025771.215 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.215 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.215 * [misc]backup-simplify: Simplify 2 into 2 1537025771.215 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.215 * [misc]taylor: Taking taylor expansion of n in n 1537025771.216 * [misc]backup-simplify: Simplify 0 into 0 1537025771.216 * [misc]backup-simplify: Simplify 1 into 1 1537025771.216 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025771.216 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1537025771.216 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.216 * [misc]backup-simplify: Simplify 0 into 0 1537025771.216 * [misc]backup-simplify: Simplify 0 into 0 1537025771.216 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1537025771.217 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1537025771.219 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.219 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow n 2)))) 1537025771.219 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 2)))) in n 1537025771.219 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 2))) in n 1537025771.219 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.219 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.219 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1537025771.219 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.219 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.219 * [misc]backup-simplify: Simplify 2 into 2 1537025771.220 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.220 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025771.220 * [misc]taylor: Taking taylor expansion of n in n 1537025771.220 * [misc]backup-simplify: Simplify 0 into 0 1537025771.220 * [misc]backup-simplify: Simplify 1 into 1 1537025771.221 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1537025771.221 * [misc]backup-simplify: Simplify (+ (* +nan.0 (sqrt 2)) (* 0 0)) into (- (* +nan.0 (sqrt 2))) 1537025771.222 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 2)))) into (- (* +nan.0 (sqrt 2))) 1537025771.222 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.223 * [misc]backup-simplify: Simplify 0 into 0 1537025771.223 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.223 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1537025771.224 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.224 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (* (sqrt 2) (pow n 3)))) 1537025771.224 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 3)))) in n 1537025771.225 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 3))) in n 1537025771.225 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.225 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.225 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1537025771.225 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.225 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.225 * [misc]backup-simplify: Simplify 2 into 2 1537025771.225 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.225 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.225 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025771.225 * [misc]taylor: Taking taylor expansion of n in n 1537025771.225 * [misc]backup-simplify: Simplify 0 into 0 1537025771.225 * [misc]backup-simplify: Simplify 1 into 1 1537025771.227 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.227 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1537025771.227 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (sqrt 2)) (* 0 0))) into 0 1537025771.227 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.227 * [misc]backup-simplify: Simplify 0 into 0 1537025771.227 * [misc]backup-simplify: Simplify 0 into 0 1537025771.228 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.229 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 2)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 4)) 1537025771.230 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.231 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (* (sqrt 2) (pow n 4)))) 1537025771.231 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 4)))) in n 1537025771.231 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 4))) in n 1537025771.231 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.231 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.231 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1537025771.231 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.231 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.231 * [misc]backup-simplify: Simplify 2 into 2 1537025771.231 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.231 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1537025771.232 * [misc]taylor: Taking taylor expansion of n in n 1537025771.232 * [misc]backup-simplify: Simplify 0 into 0 1537025771.232 * [misc]backup-simplify: Simplify 1 into 1 1537025771.232 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.232 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025771.232 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537025771.232 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.233 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.233 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.233 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1537025771.233 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0)))) into 0 1537025771.233 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.233 * [misc]backup-simplify: Simplify 0 into 0 1537025771.233 * [misc]backup-simplify: Simplify 0 into 0 1537025771.234 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.234 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1537025771.235 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.235 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (* (sqrt 2) (pow n 5)))) 1537025771.235 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 5)))) in n 1537025771.235 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 5))) in n 1537025771.235 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.235 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.235 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 5)) in n 1537025771.235 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.235 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.235 * [misc]backup-simplify: Simplify 2 into 2 1537025771.235 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.235 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.235 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1537025771.235 * [misc]taylor: Taking taylor expansion of n in n 1537025771.235 * [misc]backup-simplify: Simplify 0 into 0 1537025771.235 * [misc]backup-simplify: Simplify 1 into 1 1537025771.236 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.236 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1537025771.236 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537025771.236 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.236 * [misc]backup-simplify: Simplify 0 into 0 1537025771.237 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.237 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1537025771.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (sqrt 2)) (* 0 0))))) into 0 1537025771.237 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.237 * [misc]backup-simplify: Simplify 0 into 0 1537025771.237 * [misc]backup-simplify: Simplify 0 into 0 1537025771.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.239 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1537025771.240 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.240 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (* (sqrt 2) (pow n 6)))) 1537025771.240 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (pow n 6)))) in n 1537025771.240 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (pow n 6))) in n 1537025771.240 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.240 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.240 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 6)) in n 1537025771.240 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.240 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.240 * [misc]backup-simplify: Simplify 2 into 2 1537025771.240 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.241 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.241 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1537025771.241 * [misc]taylor: Taking taylor expansion of n in n 1537025771.241 * [misc]backup-simplify: Simplify 0 into 0 1537025771.241 * [misc]backup-simplify: Simplify 1 into 1 1537025771.241 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.241 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.241 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1537025771.241 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537025771.241 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.242 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.243 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 2))) (* (pow n 3) (pow k 2))) (+ (* (- (* +nan.0 (sqrt 2))) (* (pow n 2) k)) (* (- (* +nan.0 (sqrt 2))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 2) k))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow k 2))))))))) 1537025771.243 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 k)) 1) (sqrt (* 2 (/ 1 n))))) into (* (sqrt 2) (sqrt (/ k n))) 1537025771.243 * [misc]approximate: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in (k n) around 0 1537025771.243 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in n 1537025771.243 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.243 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.243 * [misc]backup-simplify: Simplify 2 into 2 1537025771.243 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1537025771.244 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1537025771.244 * [misc]taylor: Taking taylor expansion of k in n 1537025771.244 * [misc]backup-simplify: Simplify k into k 1537025771.244 * [misc]taylor: Taking taylor expansion of n in n 1537025771.244 * [misc]backup-simplify: Simplify 0 into 0 1537025771.244 * [misc]backup-simplify: Simplify 1 into 1 1537025771.244 * [misc]backup-simplify: Simplify (/ k 1) into k 1537025771.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.244 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1537025771.244 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in k 1537025771.244 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.244 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.244 * [misc]backup-simplify: Simplify 2 into 2 1537025771.244 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.244 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.244 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537025771.244 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537025771.244 * [misc]taylor: Taking taylor expansion of k in k 1537025771.244 * [misc]backup-simplify: Simplify 0 into 0 1537025771.244 * [misc]backup-simplify: Simplify 1 into 1 1537025771.244 * [misc]taylor: Taking taylor expansion of n in k 1537025771.244 * [misc]backup-simplify: Simplify n into n 1537025771.244 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537025771.244 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.245 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537025771.245 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (/ k n))) in k 1537025771.245 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1537025771.245 * [misc]taylor: Taking taylor expansion of 2 in k 1537025771.245 * [misc]backup-simplify: Simplify 2 into 2 1537025771.245 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.245 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.245 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1537025771.245 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1537025771.245 * [misc]taylor: Taking taylor expansion of k in k 1537025771.245 * [misc]backup-simplify: Simplify 0 into 0 1537025771.245 * [misc]backup-simplify: Simplify 1 into 1 1537025771.245 * [misc]taylor: Taking taylor expansion of n in k 1537025771.245 * [misc]backup-simplify: Simplify n into n 1537025771.245 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1537025771.245 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.245 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1537025771.245 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1537025771.245 * [misc]taylor: Taking taylor expansion of 0 in n 1537025771.246 * [misc]backup-simplify: Simplify 0 into 0 1537025771.246 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2) n))) 1537025771.246 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) n))) in n 1537025771.246 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) n)) in n 1537025771.246 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.246 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.246 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) n) in n 1537025771.246 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.246 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.246 * [misc]backup-simplify: Simplify 2 into 2 1537025771.246 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.246 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.246 * [misc]taylor: Taking taylor expansion of n in n 1537025771.246 * [misc]backup-simplify: Simplify 0 into 0 1537025771.246 * [misc]backup-simplify: Simplify 1 into 1 1537025771.246 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537025771.247 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt 2)) into (* +nan.0 (sqrt 2)) 1537025771.247 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.247 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 2))) into (- (* +nan.0 (sqrt 2))) 1537025771.247 * [misc]backup-simplify: Simplify 0 into 0 1537025771.247 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1537025771.248 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1537025771.249 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.249 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2) (pow n 2)))) 1537025771.249 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow n 2)))) in n 1537025771.249 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow n 2))) in n 1537025771.249 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.249 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.249 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow n 2)) in n 1537025771.249 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.249 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.249 * [misc]backup-simplify: Simplify 2 into 2 1537025771.249 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.249 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.249 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1537025771.249 * [misc]taylor: Taking taylor expansion of n in n 1537025771.249 * [misc]backup-simplify: Simplify 0 into 0 1537025771.249 * [misc]backup-simplify: Simplify 1 into 1 1537025771.249 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.250 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537025771.250 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537025771.250 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537025771.250 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.250 * [misc]backup-simplify: Simplify 0 into 0 1537025771.250 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537025771.250 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2))) into 0 1537025771.251 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.251 * [misc]backup-simplify: Simplify 0 into 0 1537025771.251 * [misc]backup-simplify: Simplify 0 into 0 1537025771.251 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1537025771.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1537025771.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1537025771.252 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2) (pow n 3)))) 1537025771.252 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2) (pow n 3)))) in n 1537025771.252 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt 2) (pow n 3))) in n 1537025771.252 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.252 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.252 * [misc]taylor: Taking taylor expansion of (/ (sqrt 2) (pow n 3)) in n 1537025771.252 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1537025771.252 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.252 * [misc]backup-simplify: Simplify 2 into 2 1537025771.252 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1537025771.252 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1537025771.252 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1537025771.252 * [misc]taylor: Taking taylor expansion of n in n 1537025771.252 * [misc]backup-simplify: Simplify 0 into 0 1537025771.252 * [misc]backup-simplify: Simplify 1 into 1 1537025771.252 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.252 * [misc]backup-simplify: Simplify (* 1 1) into 1 1537025771.253 * [misc]backup-simplify: Simplify (/ (sqrt 2) 1) into (sqrt 2) 1537025771.253 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.253 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.254 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.254 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.254 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1537025771.254 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)))) into 0 1537025771.256 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.256 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1537025771.257 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.257 * [misc]backup-simplify: Simplify 0 into 0 1537025771.257 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1537025771.258 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1537025771.258 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.258 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1537025771.258 * [misc]backup-simplify: Simplify (- 0) into 0 1537025771.258 * [misc]backup-simplify: Simplify 0 into 0 1537025771.258 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (sqrt 2))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (sqrt 2) n) k)) 1537025771.259 * [misc]backup-simplify: Simplify (/ 1 (/ (/ (sqrt (/ 1 (- k))) 1) (sqrt (* 2 (/ 1 (- n)))))) into (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) 1537025771.259 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in (k n) around 0 1537025771.259 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in n 1537025771.259 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.259 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.259 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.259 * [misc]backup-simplify: Simplify -2 into -2 1537025771.259 * [misc]taylor: Taking taylor expansion of n in n 1537025771.259 * [misc]backup-simplify: Simplify 0 into 0 1537025771.259 * [misc]backup-simplify: Simplify 1 into 1 1537025771.259 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.259 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.259 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.259 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1537025771.259 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1537025771.259 * [misc]taylor: Taking taylor expansion of -1 in n 1537025771.259 * [misc]backup-simplify: Simplify -1 into -1 1537025771.259 * [misc]taylor: Taking taylor expansion of k in n 1537025771.259 * [misc]backup-simplify: Simplify k into k 1537025771.259 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1537025771.259 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1537025771.260 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1537025771.260 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1537025771.260 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt (/ -1 k))) into (/ +nan.0 (sqrt (/ -1 k))) 1537025771.260 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1537025771.260 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537025771.260 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537025771.260 * [misc]taylor: Taking taylor expansion of -2 in k 1537025771.260 * [misc]backup-simplify: Simplify -2 into -2 1537025771.260 * [misc]taylor: Taking taylor expansion of n in k 1537025771.260 * [misc]backup-simplify: Simplify n into n 1537025771.260 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537025771.260 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537025771.260 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537025771.260 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537025771.260 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025771.260 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025771.260 * [misc]taylor: Taking taylor expansion of -1 in k 1537025771.260 * [misc]backup-simplify: Simplify -1 into -1 1537025771.260 * [misc]taylor: Taking taylor expansion of k in k 1537025771.260 * [misc]backup-simplify: Simplify 0 into 0 1537025771.260 * [misc]backup-simplify: Simplify 1 into 1 1537025771.260 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025771.260 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.261 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025771.261 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1537025771.261 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -2 n)) (sqrt (/ -1 k))) in k 1537025771.261 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1537025771.261 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1537025771.261 * [misc]taylor: Taking taylor expansion of -2 in k 1537025771.261 * [misc]backup-simplify: Simplify -2 into -2 1537025771.261 * [misc]taylor: Taking taylor expansion of n in k 1537025771.261 * [misc]backup-simplify: Simplify n into n 1537025771.261 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1537025771.261 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1537025771.261 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1537025771.261 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1537025771.261 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1537025771.261 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1537025771.261 * [misc]taylor: Taking taylor expansion of -1 in k 1537025771.261 * [misc]backup-simplify: Simplify -1 into -1 1537025771.261 * [misc]taylor: Taking taylor expansion of k in k 1537025771.261 * [misc]backup-simplify: Simplify 0 into 0 1537025771.261 * [misc]backup-simplify: Simplify 1 into 1 1537025771.261 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1537025771.261 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.262 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1537025771.262 * [misc]backup-simplify: Simplify (/ (sqrt (/ -2 n)) +nan.0) into (* +nan.0 (sqrt (/ -2 n))) 1537025771.262 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ -2 n))) in n 1537025771.262 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.262 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.262 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.262 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.262 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.262 * [misc]backup-simplify: Simplify -2 into -2 1537025771.262 * [misc]taylor: Taking taylor expansion of n in n 1537025771.262 * [misc]backup-simplify: Simplify 0 into 0 1537025771.262 * [misc]backup-simplify: Simplify 1 into 1 1537025771.262 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.262 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.262 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.263 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1537025771.263 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1537025771.264 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025771.264 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (sqrt (/ -2 n))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (sqrt (/ -2 n)))) 1537025771.264 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (sqrt (/ -2 n)))) in n 1537025771.264 * [misc]taylor: Taking taylor expansion of (* +nan.0 (sqrt (/ -2 n))) in n 1537025771.264 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1537025771.264 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1537025771.264 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1537025771.264 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1537025771.264 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.264 * [misc]backup-simplify: Simplify -2 into -2 1537025771.264 * [misc]taylor: Taking taylor expansion of n in n 1537025771.264 * [misc]backup-simplify: Simplify 0 into 0 1537025771.264 * [misc]backup-simplify: Simplify 1 into 1 1537025771.264 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1537025771.264 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1537025771.265 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1537025771.265 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (* 0 0)) into (- +nan.0) 1537025771.265 * [misc]backup-simplify: Simplify (- (- +nan.0)) into (- +nan.0) 1537025771.265 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.266 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1537025771.266 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1537025771.267 * [misc]backup-simplify: Simplify (+ (* +nan.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1537025771.267 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1537025771.267 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (* (/ 1 (- n)) 1)) (+ (* (- +nan.0) (* 1 (/ 1 (- k)))) (- +nan.0))) into (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537025771.267 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1) 1537025771.268 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1537025771.268 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1537025771.268 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025771.268 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.268 * [misc]backup-simplify: Simplify 2 into 2 1537025771.268 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025771.268 * [misc]taylor: Taking taylor expansion of n in n 1537025771.268 * [misc]backup-simplify: Simplify 0 into 0 1537025771.268 * [misc]backup-simplify: Simplify 1 into 1 1537025771.268 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.268 * [misc]backup-simplify: Simplify PI into PI 1537025771.268 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1537025771.268 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.268 * [misc]backup-simplify: Simplify 2 into 2 1537025771.268 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1537025771.268 * [misc]taylor: Taking taylor expansion of n in n 1537025771.268 * [misc]backup-simplify: Simplify 0 into 0 1537025771.268 * [misc]backup-simplify: Simplify 1 into 1 1537025771.268 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.268 * [misc]backup-simplify: Simplify PI into PI 1537025771.268 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1537025771.268 * [misc]backup-simplify: Simplify (* 2 0) into 0 1537025771.268 * [misc]backup-simplify: Simplify 0 into 0 1537025771.269 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1537025771.269 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1537025771.270 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025771.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1537025771.271 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1537025771.271 * [misc]backup-simplify: Simplify 0 into 0 1537025771.272 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025771.273 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1537025771.273 * [misc]backup-simplify: Simplify 0 into 0 1537025771.274 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025771.276 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1537025771.276 * [misc]backup-simplify: Simplify 0 into 0 1537025771.279 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025771.282 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1537025771.282 * [misc]backup-simplify: Simplify 0 into 0 1537025771.285 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025771.289 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1537025771.289 * [misc]backup-simplify: Simplify 0 into 0 1537025771.293 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1537025771.298 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1537025771.298 * [misc]backup-simplify: Simplify 0 into 0 1537025771.298 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1537025771.298 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1537025771.298 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1537025771.298 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025771.298 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.298 * [misc]backup-simplify: Simplify 2 into 2 1537025771.298 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025771.299 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.299 * [misc]backup-simplify: Simplify PI into PI 1537025771.299 * [misc]taylor: Taking taylor expansion of n in n 1537025771.299 * [misc]backup-simplify: Simplify 0 into 0 1537025771.299 * [misc]backup-simplify: Simplify 1 into 1 1537025771.299 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025771.299 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1537025771.299 * [misc]taylor: Taking taylor expansion of 2 in n 1537025771.299 * [misc]backup-simplify: Simplify 2 into 2 1537025771.299 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025771.299 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.299 * [misc]backup-simplify: Simplify PI into PI 1537025771.299 * [misc]taylor: Taking taylor expansion of n in n 1537025771.299 * [misc]backup-simplify: Simplify 0 into 0 1537025771.299 * [misc]backup-simplify: Simplify 1 into 1 1537025771.300 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025771.300 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025771.300 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1537025771.301 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025771.302 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1537025771.302 * [misc]backup-simplify: Simplify 0 into 0 1537025771.304 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.305 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025771.305 * [misc]backup-simplify: Simplify 0 into 0 1537025771.306 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.308 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025771.308 * [misc]backup-simplify: Simplify 0 into 0 1537025771.310 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.312 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025771.312 * [misc]backup-simplify: Simplify 0 into 0 1537025771.315 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025771.318 * [misc]backup-simplify: Simplify 0 into 0 1537025771.320 * [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 1537025771.322 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025771.322 * [misc]backup-simplify: Simplify 0 into 0 1537025771.322 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1537025771.322 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1537025771.322 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1537025771.322 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025771.322 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.322 * [misc]backup-simplify: Simplify -2 into -2 1537025771.322 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025771.322 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.322 * [misc]backup-simplify: Simplify PI into PI 1537025771.322 * [misc]taylor: Taking taylor expansion of n in n 1537025771.322 * [misc]backup-simplify: Simplify 0 into 0 1537025771.322 * [misc]backup-simplify: Simplify 1 into 1 1537025771.323 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025771.323 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1537025771.323 * [misc]taylor: Taking taylor expansion of -2 in n 1537025771.323 * [misc]backup-simplify: Simplify -2 into -2 1537025771.323 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1537025771.323 * [misc]taylor: Taking taylor expansion of PI in n 1537025771.323 * [misc]backup-simplify: Simplify PI into PI 1537025771.323 * [misc]taylor: Taking taylor expansion of n in n 1537025771.323 * [misc]backup-simplify: Simplify 0 into 0 1537025771.323 * [misc]backup-simplify: Simplify 1 into 1 1537025771.323 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1537025771.323 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025771.323 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1537025771.324 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1537025771.325 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1537025771.325 * [misc]backup-simplify: Simplify 0 into 0 1537025771.325 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.326 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1537025771.326 * [misc]backup-simplify: Simplify 0 into 0 1537025771.327 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.328 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1537025771.328 * [misc]backup-simplify: Simplify 0 into 0 1537025771.329 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.330 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1537025771.330 * [misc]backup-simplify: Simplify 0 into 0 1537025771.332 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1537025771.333 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1537025771.333 * [misc]backup-simplify: Simplify 0 into 0 1537025771.335 * [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 1537025771.337 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1537025771.337 * [misc]backup-simplify: Simplify 0 into 0 1537025771.337 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1537025771.337 * * * [misc]progress: simplifying candidates 1537025771.337 * * * * [misc]progress: [ 1 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 2 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 3 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 4 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 5 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 6 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 7 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 8 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 9 / 99 ] simplifiying candidate # 1537025771.337 * * * * [misc]progress: [ 10 / 99 ] simplifiying candidate # 1537025771.338 * [enter]simplify: Simplifying (- (log (/ (sqrt k) 1)) (log (sqrt (* 2 n)))) 1537025771.338 * * [misc]simplify: iters left: 6 (11 enodes) 1537025771.343 * * [misc]simplify: iters left: 5 (19 enodes) 1537025771.349 * * [misc]simplify: iters left: 4 (24 enodes) 1537025771.355 * * [misc]simplify: iters left: 3 (29 enodes) 1537025771.366 * * [misc]simplify: iters left: 2 (39 enodes) 1537025771.376 * * [misc]simplify: iters left: 1 (45 enodes) 1537025771.395 * [exit]simplify: Simplified to (- (log (sqrt k)) (log (sqrt (* 2 n)))) 1537025771.395 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (exp (- (log (sqrt k)) (log (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.395 * * * * [misc]progress: [ 11 / 99 ] simplifiying candidate # 1537025771.395 * * * * [misc]progress: [ 12 / 99 ] simplifiying candidate # 1537025771.396 * * * * [misc]progress: [ 13 / 99 ] simplifiying candidate # 1537025771.396 * [enter]simplify: Simplifying (/ (* (* (/ (sqrt k) 1) (/ (sqrt k) 1)) (/ (sqrt k) 1)) (* (* (sqrt (* 2 n)) (sqrt (* 2 n))) (sqrt (* 2 n)))) 1537025771.397 * * [misc]simplify: iters left: 6 (13 enodes) 1537025771.405 * * [misc]simplify: iters left: 5 (31 enodes) 1537025771.429 * * [misc]simplify: iters left: 4 (103 enodes) 1537025771.502 * * [misc]simplify: iters left: 3 (268 enodes) 1537025771.800 * [exit]simplify: Simplified to (* k (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2)))) 1537025771.800 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (cbrt (* k (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.800 * * * * [misc]progress: [ 14 / 99 ] simplifiying candidate # 1537025771.800 * * * * [misc]progress: [ 15 / 99 ] simplifiying candidate # 1537025771.800 * * * * [misc]progress: [ 16 / 99 ] simplifiying candidate # 1537025771.800 * * * * [misc]progress: [ 17 / 99 ] simplifiying candidate # 1537025771.800 * * * * [misc]progress: [ 18 / 99 ] simplifiying candidate # 1537025771.801 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537025771.802 * * [misc]simplify: iters left: 6 (13 enodes) 1537025771.808 * * [misc]simplify: iters left: 5 (22 enodes) 1537025771.817 * * [misc]simplify: iters left: 4 (33 enodes) 1537025771.826 * * [misc]simplify: iters left: 3 (36 enodes) 1537025771.831 * * [misc]simplify: iters left: 2 (39 enodes) 1537025771.838 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) 1537025771.838 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.838 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537025771.839 * * [misc]simplify: iters left: 6 (11 enodes) 1537025771.842 * * [misc]simplify: iters left: 5 (14 enodes) 1537025771.845 * * [misc]simplify: iters left: 4 (16 enodes) 1537025771.850 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537025771.850 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.850 * * * * [misc]progress: [ 19 / 99 ] simplifiying candidate # 1537025771.850 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt 2)) 1537025771.851 * * [misc]simplify: iters left: 6 (9 enodes) 1537025771.853 * * [misc]simplify: iters left: 5 (13 enodes) 1537025771.857 * * [misc]simplify: iters left: 4 (17 enodes) 1537025771.862 * * [misc]simplify: iters left: 3 (18 enodes) 1537025771.869 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) 1537025771.869 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (cbrt (/ (sqrt k) 1)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.869 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt n)) 1537025771.870 * * [misc]simplify: iters left: 6 (8 enodes) 1537025771.873 * * [misc]simplify: iters left: 5 (10 enodes) 1537025771.877 * * [misc]simplify: iters left: 4 (12 enodes) 1537025771.880 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1537025771.880 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt 2))) (/ (cbrt (sqrt k)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.880 * * * * [misc]progress: [ 20 / 99 ] simplifiying candidate # 1537025771.880 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt (sqrt (* 2 n)))) 1537025771.881 * * [misc]simplify: iters left: 6 (12 enodes) 1537025771.886 * * [misc]simplify: iters left: 5 (17 enodes) 1537025771.892 * * [misc]simplify: iters left: 4 (21 enodes) 1537025771.899 * * [misc]simplify: iters left: 3 (22 enodes) 1537025771.906 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1537025771.906 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.906 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537025771.907 * * [misc]simplify: iters left: 6 (11 enodes) 1537025771.911 * * [misc]simplify: iters left: 5 (14 enodes) 1537025771.916 * * [misc]simplify: iters left: 4 (16 enodes) 1537025771.921 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537025771.921 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.921 * * * * [misc]progress: [ 21 / 99 ] simplifiying candidate # 1537025771.921 * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1) 1537025771.922 * * [misc]simplify: iters left: 6 (7 enodes) 1537025771.925 * * [misc]simplify: iters left: 5 (11 enodes) 1537025771.930 * * [misc]simplify: iters left: 4 (18 enodes) 1537025771.936 * * [misc]simplify: iters left: 3 (32 enodes) 1537025771.949 * * [misc]simplify: iters left: 2 (58 enodes) 1537025771.966 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537025771.966 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.967 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537025771.967 * * [misc]simplify: iters left: 6 (10 enodes) 1537025771.971 * * [misc]simplify: iters left: 5 (13 enodes) 1537025771.976 * * [misc]simplify: iters left: 4 (15 enodes) 1537025771.980 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (* 2 n))) 1537025771.980 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025771.980 * * * * [misc]progress: [ 22 / 99 ] simplifiying candidate # 1537025771.980 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537025771.981 * * [misc]simplify: iters left: 6 (12 enodes) 1537025771.989 * * [misc]simplify: iters left: 5 (17 enodes) 1537025771.994 * * [misc]simplify: iters left: 4 (19 enodes) 1537025772.001 * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) 1537025772.001 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.001 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537025772.002 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.006 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.011 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.015 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537025772.015 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.015 * * * * [misc]progress: [ 23 / 99 ] simplifiying candidate # 1537025772.015 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt 2)) 1537025772.016 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.019 * * [misc]simplify: iters left: 5 (10 enodes) 1537025772.024 * * [misc]simplify: iters left: 4 (12 enodes) 1537025772.027 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1537025772.027 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (/ (sqrt k) 1)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.028 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt n)) 1537025772.028 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.031 * * [misc]simplify: iters left: 5 (10 enodes) 1537025772.035 * * [misc]simplify: iters left: 4 (12 enodes) 1537025772.038 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1537025772.038 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.038 * * * * [misc]progress: [ 24 / 99 ] simplifiying candidate # 1537025772.039 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537025772.040 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.044 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.049 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.053 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537025772.053 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.054 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537025772.055 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.058 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.063 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.068 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537025772.068 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.068 * * * * [misc]progress: [ 25 / 99 ] simplifiying candidate # 1537025772.068 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) 1) 1537025772.069 * * [misc]simplify: iters left: 6 (6 enodes) 1537025772.071 * * [misc]simplify: iters left: 5 (8 enodes) 1537025772.074 * * [misc]simplify: iters left: 4 (11 enodes) 1537025772.076 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537025772.076 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.077 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537025772.077 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.081 * * [misc]simplify: iters left: 5 (13 enodes) 1537025772.085 * * [misc]simplify: iters left: 4 (15 enodes) 1537025772.087 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537025772.087 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.087 * * * * [misc]progress: [ 26 / 99 ] simplifiying candidate # 1537025772.087 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537025772.087 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.089 * * [misc]simplify: iters left: 5 (13 enodes) 1537025772.091 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1537025772.091 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.092 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))) 1537025772.092 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.094 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.097 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.100 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (sqrt (* 2 n)))) 1537025772.100 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ (sqrt k) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.100 * * * * [misc]progress: [ 27 / 99 ] simplifiying candidate # 1537025772.100 * [enter]simplify: Simplifying (/ 1 (sqrt 2)) 1537025772.101 * * [misc]simplify: iters left: 3 (4 enodes) 1537025772.102 * * [misc]simplify: iters left: 2 (6 enodes) 1537025772.103 * [exit]simplify: Simplified to (/ 1 (sqrt 2)) 1537025772.103 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt 2)) (/ (/ (sqrt k) 1) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.103 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt n)) 1537025772.104 * * [misc]simplify: iters left: 5 (7 enodes) 1537025772.105 * * [misc]simplify: iters left: 4 (11 enodes) 1537025772.110 * * [misc]simplify: iters left: 3 (16 enodes) 1537025772.112 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1537025772.112 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt 2)) (/ (sqrt k) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.112 * * * * [misc]progress: [ 28 / 99 ] simplifiying candidate # 1537025772.112 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* 2 n)))) 1537025772.113 * * [misc]simplify: iters left: 6 (7 enodes) 1537025772.114 * * [misc]simplify: iters left: 5 (10 enodes) 1537025772.116 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1537025772.116 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.116 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) 1537025772.117 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.121 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.127 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.132 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537025772.132 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ 1 (sqrt (sqrt (* 2 n)))) (/ (sqrt k) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.132 * * * * [misc]progress: [ 29 / 99 ] simplifiying candidate # 1537025772.133 * [enter]simplify: Simplifying (/ 1 1) 1537025772.133 * * [misc]simplify: iters left: 2 (2 enodes) 1537025772.134 * * [misc]simplify: iters left: 1 (4 enodes) 1537025772.135 * [exit]simplify: Simplified to 1 1537025772.135 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.136 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537025772.137 * * [misc]simplify: iters left: 5 (9 enodes) 1537025772.140 * * [misc]simplify: iters left: 4 (14 enodes) 1537025772.145 * * [misc]simplify: iters left: 3 (19 enodes) 1537025772.147 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537025772.148 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* 1 (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.148 * * * * [misc]progress: [ 30 / 99 ] simplifiying candidate # 1537025772.148 * [enter]simplify: Simplifying (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1537025772.148 * * [misc]simplify: iters left: 6 (9 enodes) 1537025772.150 * * [misc]simplify: iters left: 5 (12 enodes) 1537025772.153 * [exit]simplify: Simplified to (/ (/ (sqrt k) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) 1537025772.153 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (/ (sqrt k) (cbrt (sqrt (* 2 n)))) (cbrt (sqrt (* 2 n)))) (/ (/ 1 1) (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.153 * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* 2 n)))) 1537025772.153 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.155 * * [misc]simplify: iters left: 5 (11 enodes) 1537025772.157 * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (* 2 n)))) 1537025772.157 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ 1 (cbrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.157 * * * * [misc]progress: [ 31 / 99 ] simplifiying candidate # 1537025772.157 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt 2)) 1537025772.157 * * [misc]simplify: iters left: 3 (5 enodes) 1537025772.159 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt 2)) 1537025772.159 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt 2)) (/ (/ 1 1) (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.159 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt n)) 1537025772.159 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.160 * * [misc]simplify: iters left: 3 (7 enodes) 1537025772.161 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1537025772.161 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt 2)) (/ 1 (sqrt n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.161 * * * * [misc]progress: [ 32 / 99 ] simplifiying candidate # 1537025772.161 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537025772.161 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.163 * * [misc]simplify: iters left: 5 (9 enodes) 1537025772.164 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537025772.164 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* 2 n)))) (/ (/ 1 1) (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.165 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* 2 n)))) 1537025772.165 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.167 * * [misc]simplify: iters left: 5 (11 enodes) 1537025772.168 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1537025772.168 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (/ (sqrt k) (sqrt (sqrt (* 2 n)))) (/ 1 (sqrt (sqrt (* 2 n)))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.168 * * * * [misc]progress: [ 33 / 99 ] simplifiying candidate # 1537025772.168 * [enter]simplify: Simplifying (/ (sqrt k) 1) 1537025772.169 * * [misc]simplify: iters left: 3 (4 enodes) 1537025772.169 * * [misc]simplify: iters left: 2 (6 enodes) 1537025772.171 * * [misc]simplify: iters left: 1 (8 enodes) 1537025772.172 * [exit]simplify: Simplified to (sqrt k) 1537025772.172 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (* (sqrt k) (/ (/ 1 1) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.172 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537025772.173 * * [misc]simplify: iters left: 5 (7 enodes) 1537025772.175 * * [misc]simplify: iters left: 4 (10 enodes) 1537025772.178 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537025772.178 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (* (sqrt k) (/ 1 (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.178 * * * * [misc]progress: [ 34 / 99 ] simplifiying candidate # 1537025772.178 * * * * [misc]progress: [ 35 / 99 ] simplifiying candidate # 1537025772.178 * * * * [misc]progress: [ 36 / 99 ] simplifiying candidate # 1537025772.178 * * * * [misc]progress: [ 37 / 99 ] simplifiying candidate # 1537025772.178 * [enter]simplify: Simplifying (cbrt (sqrt (* 2 n))) 1537025772.179 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.180 * * [misc]simplify: iters left: 3 (6 enodes) 1537025772.182 * [exit]simplify: Simplified to (cbrt (sqrt (* 2 n))) 1537025772.182 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.182 * * * * [misc]progress: [ 38 / 99 ] simplifiying candidate # 1537025772.183 * [enter]simplify: Simplifying (sqrt n) 1537025772.183 * * [misc]simplify: iters left: 1 (2 enodes) 1537025772.183 * [exit]simplify: Simplified to (sqrt n) 1537025772.183 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (sqrt 2)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.183 * * * * [misc]progress: [ 39 / 99 ] simplifiying candidate # 1537025772.184 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1537025772.184 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.186 * * [misc]simplify: iters left: 3 (6 enodes) 1537025772.187 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1537025772.187 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.187 * * * * [misc]progress: [ 40 / 99 ] simplifiying candidate # 1537025772.188 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537025772.188 * * [misc]simplify: iters left: 3 (4 enodes) 1537025772.189 * * [misc]simplify: iters left: 2 (5 enodes) 1537025772.191 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025772.191 * [misc]simplify: Simplified (2 1 2 2) to (λ (k n) (/ (/ 1 (/ (/ (/ (sqrt k) 1) 1) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.191 * * * * [misc]progress: [ 41 / 99 ] simplifiying candidate # 1537025772.191 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1537025772.192 * * [misc]simplify: iters left: 6 (6 enodes) 1537025772.194 * * [misc]simplify: iters left: 5 (8 enodes) 1537025772.197 * * [misc]simplify: iters left: 4 (10 enodes) 1537025772.199 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1537025772.199 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (sqrt (* 2 n)) (cbrt (/ (sqrt k) 1))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.199 * * * * [misc]progress: [ 42 / 99 ] simplifiying candidate # 1537025772.200 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) 1)) 1537025772.200 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.202 * * [misc]simplify: iters left: 3 (7 enodes) 1537025772.205 * * [misc]simplify: iters left: 2 (9 enodes) 1537025772.207 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1537025772.207 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (/ (sqrt (* 2 n)) (sqrt (/ (sqrt k) 1))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.207 * * * * [misc]progress: [ 43 / 99 ] simplifiying candidate # 1537025772.207 * * * * [misc]progress: [ 44 / 99 ] simplifiying candidate # 1537025772.208 * [enter]simplify: Simplifying (sqrt k) 1537025772.208 * * [misc]simplify: iters left: 1 (2 enodes) 1537025772.208 * [exit]simplify: Simplified to (sqrt k) 1537025772.209 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt k) (/ (sqrt (* 2 n)) (/ 1 1)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.209 * * * * [misc]progress: [ 45 / 99 ] simplifiying candidate # 1537025772.209 * [enter]simplify: Simplifying (sqrt k) 1537025772.209 * * [misc]simplify: iters left: 1 (2 enodes) 1537025772.210 * [exit]simplify: Simplified to (sqrt k) 1537025772.210 * [misc]simplify: Simplified (2 1 2 1) to (λ (k n) (/ (/ 1 (/ (sqrt k) (* (sqrt (* 2 n)) 1))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.210 * * * * [misc]progress: [ 46 / 99 ] simplifiying candidate # 1537025772.210 * * * * [misc]progress: [ 47 / 99 ] simplifiying candidate # 1537025772.210 * [enter]simplify: Simplifying (- 1) 1537025772.210 * * [misc]simplify: iters left: 2 (2 enodes) 1537025772.212 * * [misc]simplify: iters left: 1 (5 enodes) 1537025772.213 * [exit]simplify: Simplified to -1 1537025772.213 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (/ (/ (sqrt k) 1) (sqrt (* 2 n))) -1) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.213 * * * * [misc]progress: [ 48 / 99 ] simplifiying candidate # 1537025772.213 * * * * [misc]progress: [ 49 / 99 ] simplifiying candidate # 1537025772.213 * * * * [misc]progress: [ 50 / 99 ] simplifiying candidate # 1537025772.213 * * * * [misc]progress: [ 51 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 52 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 53 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 54 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 55 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 56 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 57 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 58 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 59 / 99 ] simplifiying candidate # 1537025772.214 * * * * [misc]progress: [ 60 / 99 ] simplifiying candidate # 1537025772.214 * [enter]simplify: Simplifying (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) 1537025772.215 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.222 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.228 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.234 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (sqrt (* 2 n)))) 1537025772.234 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (* (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (cbrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))))) (cbrt (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.234 * * * * [misc]progress: [ 61 / 99 ] simplifiying candidate # 1537025772.234 * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) 1537025772.235 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.239 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.245 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.251 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (sqrt (* 2 n)))) 1537025772.251 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (sqrt (/ (/ (sqrt k) 1) (sqrt (* 2 n))))) (sqrt (/ (sqrt k) (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.251 * * * * [misc]progress: [ 62 / 99 ] simplifiying candidate # 1537025772.251 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537025772.252 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.257 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.261 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.266 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537025772.266 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (cbrt (sqrt k)) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.266 * * * * [misc]progress: [ 63 / 99 ] simplifiying candidate # 1537025772.266 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt n)) 1537025772.267 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.270 * * [misc]simplify: iters left: 5 (10 enodes) 1537025772.274 * * [misc]simplify: iters left: 4 (12 enodes) 1537025772.277 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt n)) 1537025772.277 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt 2))) (/ (cbrt (sqrt k)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.277 * * * * [misc]progress: [ 64 / 99 ] simplifiying candidate # 1537025772.277 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537025772.278 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.282 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.287 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.291 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537025772.291 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) (sqrt (sqrt (* 2 n))))) (/ (cbrt (sqrt k)) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.291 * * * * [misc]progress: [ 65 / 99 ] simplifiying candidate # 1537025772.291 * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537025772.292 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.294 * * [misc]simplify: iters left: 5 (13 enodes) 1537025772.296 * * [misc]simplify: iters left: 4 (15 enodes) 1537025772.298 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (* 2 n))) 1537025772.298 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (* (cbrt (/ (sqrt k) 1)) (cbrt (/ (sqrt k) 1))) 1)) (/ (cbrt (sqrt k)) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.298 * * * * [misc]progress: [ 66 / 99 ] simplifiying candidate # 1537025772.299 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (cbrt (sqrt (* 2 n)))) 1537025772.299 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.301 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.304 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.306 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n)))) 1537025772.306 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.306 * * * * [misc]progress: [ 67 / 99 ] simplifiying candidate # 1537025772.306 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt n)) 1537025772.307 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.308 * * [misc]simplify: iters left: 5 (10 enodes) 1537025772.310 * * [misc]simplify: iters left: 4 (12 enodes) 1537025772.312 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt n)) 1537025772.312 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (sqrt 2))) (/ (sqrt (sqrt k)) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.312 * * * * [misc]progress: [ 68 / 99 ] simplifiying candidate # 1537025772.312 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n)))) 1537025772.313 * * [misc]simplify: iters left: 6 (11 enodes) 1537025772.315 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.317 * * [misc]simplify: iters left: 4 (16 enodes) 1537025772.320 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n)))) 1537025772.320 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) (sqrt (sqrt (* 2 n))))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.320 * * * * [misc]progress: [ 69 / 99 ] simplifiying candidate # 1537025772.320 * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt k) 1)) (sqrt (* 2 n))) 1537025772.320 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.322 * * [misc]simplify: iters left: 5 (13 enodes) 1537025772.325 * * [misc]simplify: iters left: 4 (15 enodes) 1537025772.327 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 1537025772.327 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt (/ (sqrt k) 1)) 1)) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.327 * * * * [misc]progress: [ 70 / 99 ] simplifiying candidate # 1537025772.327 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (cbrt (sqrt (* 2 n)))) 1537025772.328 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.334 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.339 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.344 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (sqrt (* 2 n)))) 1537025772.344 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ (sqrt k) (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.344 * * * * [misc]progress: [ 71 / 99 ] simplifiying candidate # 1537025772.344 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt n)) 1537025772.345 * * [misc]simplify: iters left: 5 (7 enodes) 1537025772.347 * * [misc]simplify: iters left: 4 (11 enodes) 1537025772.351 * * [misc]simplify: iters left: 3 (16 enodes) 1537025772.355 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt n)) 1537025772.355 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (sqrt 2))) (/ (sqrt k) (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.355 * * * * [misc]progress: [ 72 / 99 ] simplifiying candidate # 1537025772.355 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (sqrt (* 2 n)))) 1537025772.356 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.360 * * [misc]simplify: iters left: 5 (15 enodes) 1537025772.365 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.370 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (sqrt (* 2 n)))) 1537025772.370 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 (sqrt (sqrt (* 2 n))))) (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.370 * * * * [misc]progress: [ 73 / 99 ] simplifiying candidate # 1537025772.370 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537025772.371 * * [misc]simplify: iters left: 5 (9 enodes) 1537025772.374 * * [misc]simplify: iters left: 4 (14 enodes) 1537025772.378 * * [misc]simplify: iters left: 3 (19 enodes) 1537025772.383 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537025772.383 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ 1 1)) (/ (sqrt k) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.383 * * * * [misc]progress: [ 74 / 99 ] simplifiying candidate # 1537025772.383 * [enter]simplify: Simplifying (/ (/ 1 1) (cbrt (sqrt (* 2 n)))) 1537025772.384 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.386 * * [misc]simplify: iters left: 5 (11 enodes) 1537025772.389 * [exit]simplify: Simplified to (/ 1 (cbrt (sqrt (* 2 n)))) 1537025772.389 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n)))))) (/ 1 (cbrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.389 * * * * [misc]progress: [ 75 / 99 ] simplifiying candidate # 1537025772.390 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt n)) 1537025772.390 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.392 * * [misc]simplify: iters left: 3 (7 enodes) 1537025772.393 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1537025772.393 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (sqrt 2))) (/ 1 (sqrt n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.393 * * * * [misc]progress: [ 76 / 99 ] simplifiying candidate # 1537025772.394 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (* 2 n)))) 1537025772.395 * * [misc]simplify: iters left: 6 (8 enodes) 1537025772.398 * * [misc]simplify: iters left: 5 (11 enodes) 1537025772.401 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1537025772.401 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) (sqrt (sqrt (* 2 n))))) (/ 1 (sqrt (sqrt (* 2 n))))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.401 * * * * [misc]progress: [ 77 / 99 ] simplifiying candidate # 1537025772.401 * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* 2 n))) 1537025772.402 * * [misc]simplify: iters left: 5 (7 enodes) 1537025772.404 * * [misc]simplify: iters left: 4 (10 enodes) 1537025772.407 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1537025772.407 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.407 * * * * [misc]progress: [ 78 / 99 ] simplifiying candidate # 1537025772.408 * [enter]simplify: Simplifying (/ (/ (sqrt k) 1) (sqrt (* 2 n))) 1537025772.409 * * [misc]simplify: iters left: 5 (9 enodes) 1537025772.412 * * [misc]simplify: iters left: 4 (14 enodes) 1537025772.418 * * [misc]simplify: iters left: 3 (19 enodes) 1537025772.423 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (* 2 n))) 1537025772.423 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 1) (/ (sqrt k) (sqrt (* 2 n)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.423 * * * * [misc]progress: [ 79 / 99 ] simplifiying candidate # 1537025772.423 * [enter]simplify: Simplifying (/ 1 (sqrt (* 2 n))) 1537025772.424 * * [misc]simplify: iters left: 5 (6 enodes) 1537025772.426 * * [misc]simplify: iters left: 4 (9 enodes) 1537025772.429 * [exit]simplify: Simplified to (/ 1 (sqrt (* n 2))) 1537025772.429 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (/ 1 (/ (sqrt k) 1)) (/ 1 (sqrt (* n 2)))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.429 * * * * [misc]progress: [ 80 / 99 ] simplifiying candidate # 1537025772.429 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1537025772.430 * * [misc]simplify: iters left: 3 (4 enodes) 1537025772.431 * * [misc]simplify: iters left: 2 (5 enodes) 1537025772.433 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1537025772.433 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (/ 1 (/ (sqrt k) 1)) (sqrt (* 2 n))) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.433 * * * * [misc]progress: [ 81 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 82 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 83 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 84 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 85 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 86 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 87 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 88 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 89 / 99 ] simplifiying candidate # 1537025772.433 * * * * [misc]progress: [ 90 / 99 ] simplifiying candidate # 1537025772.434 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)) 1537025772.435 * * [misc]simplify: iters left: 6 (10 enodes) 1537025772.439 * * [misc]simplify: iters left: 5 (14 enodes) 1537025772.444 * * [misc]simplify: iters left: 4 (20 enodes) 1537025772.448 * * [misc]simplify: iters left: 3 (22 enodes) 1537025772.451 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)) 1537025772.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* 2 n) PI) (/ k 2)) (sqrt PI)))) 1537025772.451 * * * * [misc]progress: [ 91 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (* +nan.0 (/ k (* (sqrt 2) n))) 1537025772.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 92 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 2) k)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) n))) (- (* +nan.0 (/ 1 (* (sqrt 2) (* (pow n 3) (pow k 2)))))))))) 1537025772.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 93 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537025772.452 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ 1 +nan.0) (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 94 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* (pow n 2) k))) (- (+ (* +nan.0 (* (sqrt 2) n)) (- (* +nan.0 (* (sqrt 2) (* (pow n 3) (pow k 2))))))))) 1537025772.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 95 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (* +nan.0 (/ (* (sqrt 2) n) k)) 1537025772.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 96 / 99 ] simplifiying candidate # 1537025772.452 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 k)) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1537025772.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ +nan.0 (/ (pow (* PI (* n 2)) (/ k 2)) (sqrt PI)))) 1537025772.452 * * * * [misc]progress: [ 97 / 99 ] simplifiying candidate # 1537025772.453 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025772.453 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.456 * * [misc]simplify: iters left: 3 (9 enodes) 1537025772.459 * * [misc]simplify: iters left: 2 (15 enodes) 1537025772.462 * * [misc]simplify: iters left: 1 (17 enodes) 1537025772.465 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025772.465 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537025772.465 * * * * [misc]progress: [ 98 / 99 ] simplifiying candidate # 1537025772.465 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025772.465 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.466 * * [misc]simplify: iters left: 3 (9 enodes) 1537025772.468 * * [misc]simplify: iters left: 2 (15 enodes) 1537025772.471 * * [misc]simplify: iters left: 1 (17 enodes) 1537025772.474 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025772.474 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537025772.474 * * * * [misc]progress: [ 99 / 99 ] simplifiying candidate # 1537025772.474 * [enter]simplify: Simplifying (* 2 (* n PI)) 1537025772.474 * * [misc]simplify: iters left: 4 (5 enodes) 1537025772.476 * * [misc]simplify: iters left: 3 (9 enodes) 1537025772.480 * * [misc]simplify: iters left: 2 (15 enodes) 1537025772.485 * * [misc]simplify: iters left: 1 (17 enodes) 1537025772.490 * [exit]simplify: Simplified to (* (* PI n) 2) 1537025772.490 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (/ 1 (/ (/ (sqrt k) 1) (sqrt (* 2 n)))) (/ (pow (* (* PI n) 2) (/ k 2)) (sqrt PI)))) 1537025772.490 * * * [misc]progress: adding candidates to table 1537025775.225 * [misc]progress: [Phase 3 of 3] Extracting. 1537025775.225 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1537025775.230 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1537025775.230 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1537025775.336 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1537025775.435 * * * [misc]regime: Found split indices: #