1538416853.382 * [misc]progress: [Phase 1 of 3] Setting up. 1538416853.382 * * * [misc]progress: [1/2] Preparing points 1538416853.382 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1538416853.385 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1538416853.389 * * * * [misc]points: Setting MPFR precision to 64 1538416853.390 * * * * [misc]points: Setting MPFR precision to 320 1538416853.391 * * * * [misc]points: Setting MPFR precision to 576 1538416853.392 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1538416853.401 * * * * [misc]points: Setting MPFR precision to 320 1538416853.403 * * * * [misc]points: Setting MPFR precision to 576 1538416853.406 * * * * [misc]points: Setting MPFR precision to 832 1538416853.408 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.410 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.412 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1538416853.420 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.422 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.424 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1538416853.447 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.451 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.455 * * * * [misc]points: Computing exacts for 256 points 1538416853.463 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.474 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.493 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.493 * * * * [misc]points: Sampling 216 additional inputs, on iter 1 have 40 / 256 1538416853.495 * * * * [misc]points: Computing exacts on every 13 of 216 points to ramp up precision 1538416853.529 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.531 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.532 * * * * [misc]points: Computing exacts on every 6 of 216 points to ramp up precision 1538416853.551 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.553 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.556 * * * * [misc]points: Computing exacts on every 3 of 216 points to ramp up precision 1538416853.573 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.575 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.578 * * * * [misc]points: Computing exacts for 216 points 1538416853.592 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.600 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.612 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.612 * * * * [misc]points: Sampling 187 additional inputs, on iter 2 have 69 / 256 1538416853.614 * * * * [misc]points: Computing exacts on every 11 of 187 points to ramp up precision 1538416853.633 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.634 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.635 * * * * [misc]points: Computing exacts on every 5 of 187 points to ramp up precision 1538416853.665 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.667 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.670 * * * * [misc]points: Computing exacts on every 2 of 187 points to ramp up precision 1538416853.688 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.693 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.698 * * * * [misc]points: Computing exacts for 187 points 1538416853.716 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.732 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.748 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.748 * * * * [misc]points: Sampling 152 additional inputs, on iter 3 have 104 / 256 1538416853.749 * * * * [misc]points: Computing exacts on every 9 of 152 points to ramp up precision 1538416853.781 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.783 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.784 * * * * [misc]points: Computing exacts on every 4 of 152 points to ramp up precision 1538416853.801 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.802 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.804 * * * * [misc]points: Computing exacts on every 2 of 152 points to ramp up precision 1538416853.813 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.819 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.821 * * * * [misc]points: Computing exacts for 152 points 1538416853.833 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.845 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.852 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.852 * * * * [misc]points: Sampling 123 additional inputs, on iter 4 have 133 / 256 1538416853.852 * * * * [misc]points: Computing exacts on every 7 of 123 points to ramp up precision 1538416853.862 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.864 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.865 * * * * [misc]points: Computing exacts on every 3 of 123 points to ramp up precision 1538416853.886 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.887 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.889 * * * * [misc]points: Computing exacts for 123 points 1538416853.897 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.903 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.909 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.909 * * * * [misc]points: Sampling 104 additional inputs, on iter 5 have 152 / 256 1538416853.910 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision 1538416853.921 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.922 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.923 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision 1538416853.939 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.940 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.941 * * * * [misc]points: Computing exacts for 104 points 1538416853.958 * * * * [misc]points: Setting MPFR precision to 1088 1538416853.967 * * * * [misc]points: Setting MPFR precision to 1344 1538416853.977 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416853.978 * * * * [misc]points: Sampling 84 additional inputs, on iter 6 have 172 / 256 1538416853.978 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision 1538416854.005 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.006 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.007 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision 1538416854.025 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.027 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.029 * * * * [misc]points: Computing exacts for 84 points 1538416854.047 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.053 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.061 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.061 * * * * [misc]points: Sampling 71 additional inputs, on iter 7 have 185 / 256 1538416854.062 * * * * [misc]points: Computing exacts on every 4 of 71 points to ramp up precision 1538416854.088 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.089 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.090 * * * * [misc]points: Computing exacts on every 2 of 71 points to ramp up precision 1538416854.108 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.110 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.112 * * * * [misc]points: Computing exacts for 71 points 1538416854.120 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.124 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.127 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.127 * * * * [misc]points: Sampling 57 additional inputs, on iter 8 have 199 / 256 1538416854.127 * * * * [misc]points: Computing exacts on every 3 of 57 points to ramp up precision 1538416854.140 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.141 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.142 * * * * [misc]points: Computing exacts for 57 points 1538416854.153 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.158 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.163 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.164 * * * * [misc]points: Sampling 44 additional inputs, on iter 9 have 212 / 256 1538416854.164 * * * * [misc]points: Computing exacts on every 2 of 44 points to ramp up precision 1538416854.182 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.184 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.185 * * * * [misc]points: Computing exacts for 44 points 1538416854.209 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.213 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.217 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.217 * * * * [misc]points: Sampling 37 additional inputs, on iter 10 have 219 / 256 1538416854.218 * * * * [misc]points: Computing exacts on every 2 of 37 points to ramp up precision 1538416854.236 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.237 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.238 * * * * [misc]points: Computing exacts for 37 points 1538416854.256 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.259 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.261 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.262 * * * * [misc]points: Sampling 33 additional inputs, on iter 11 have 223 / 256 1538416854.262 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision 1538416854.287 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.288 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.289 * * * * [misc]points: Computing exacts for 33 points 1538416854.307 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.310 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.313 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.313 * * * * [misc]points: Sampling 28 additional inputs, on iter 12 have 228 / 256 1538416854.313 * * * * [misc]points: Computing exacts for 28 points 1538416854.331 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.334 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.336 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.336 * * * * [misc]points: Sampling 22 additional inputs, on iter 13 have 234 / 256 1538416854.336 * * * * [misc]points: Computing exacts for 22 points 1538416854.361 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.363 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.365 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.365 * * * * [misc]points: Sampling 18 additional inputs, on iter 14 have 238 / 256 1538416854.365 * * * * [misc]points: Computing exacts for 18 points 1538416854.383 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.385 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.386 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.386 * * * * [misc]points: Sampling 15 additional inputs, on iter 15 have 241 / 256 1538416854.386 * * * * [misc]points: Computing exacts for 15 points 1538416854.409 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.410 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.412 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.412 * * * * [misc]points: Sampling 12 additional inputs, on iter 16 have 244 / 256 1538416854.412 * * * * [misc]points: Computing exacts for 12 points 1538416854.430 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.432 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.433 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.433 * * * * [misc]points: Sampling 10 additional inputs, on iter 17 have 246 / 256 1538416854.434 * * * * [misc]points: Computing exacts for 10 points 1538416854.451 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.453 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.454 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.454 * * * * [misc]points: Sampling 7 additional inputs, on iter 18 have 249 / 256 1538416854.454 * * * * [misc]points: Computing exacts for 7 points 1538416854.475 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.476 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.477 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.477 * * * * [misc]points: Sampling 5 additional inputs, on iter 19 have 251 / 256 1538416854.477 * * * * [misc]points: Computing exacts for 5 points 1538416854.499 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.500 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.501 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.501 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 252 / 256 1538416854.501 * * * * [misc]points: Computing exacts for 4 points 1538416854.518 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.519 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.519 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.520 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1538416854.520 * * * * [misc]points: Computing exacts for 4 points 1538416854.541 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.542 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.543 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.543 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 1538416854.543 * * * * [misc]points: Computing exacts for 4 points 1538416854.561 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.562 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.562 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.562 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1538416854.562 * * * * [misc]points: Computing exacts for 4 points 1538416854.576 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.576 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.576 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.576 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 254 / 256 1538416854.576 * * * * [misc]points: Computing exacts for 4 points 1538416854.587 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.587 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.587 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.587 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 254 / 256 1538416854.588 * * * * [misc]points: Computing exacts for 4 points 1538416854.596 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.597 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.597 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.597 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 255 / 256 1538416854.597 * * * * [misc]points: Computing exacts for 4 points 1538416854.609 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.609 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.609 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.609 * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 255 / 256 1538416854.610 * * * * [misc]points: Computing exacts for 4 points 1538416854.631 * * * * [misc]points: Setting MPFR precision to 1088 1538416854.632 * * * * [misc]points: Setting MPFR precision to 1344 1538416854.632 * * * * [misc]points: Filtering points with unrepresentable outputs 1538416854.632 * * * * [exit]points: Sampled 256 points with exact outputs 1538416854.632 * * * [misc]progress: [2/2] Setting up program. 1538416854.639 * [misc]progress: [Phase 2 of 3] Improving. 1538416854.639 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1538416854.639 * * [misc]simplify: iters left: 6 (13 enodes) 1538416854.644 * * [misc]simplify: iters left: 5 (28 enodes) 1538416854.652 * * [misc]simplify: iters left: 4 (44 enodes) 1538416854.665 * * [misc]simplify: iters left: 3 (54 enodes) 1538416854.676 * * [misc]simplify: iters left: 2 (57 enodes) 1538416854.687 * * [misc]simplify: iters left: 1 (65 enodes) 1538416854.699 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538416854.705 * * [misc]progress: iteration 1 / 4 1538416854.705 * * * [misc]progress: picking best candidate 1538416854.711 * * * * [misc]pick: Picked # 1538416854.711 * * * [misc]progress: localizing error 1538416854.762 * * * [misc]progress: generating rewritten candidates 1538416854.762 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1538416854.770 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1 1) 1538416854.775 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) 1538416854.788 * * * [misc]progress: generating series expansions 1538416854.788 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1538416854.789 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1538416854.789 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1538416854.789 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.789 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.789 * [misc]taylor: Taking taylor expansion of k in k 1538416854.789 * [misc]backup-simplify: Simplify 0 into 0 1538416854.789 * [misc]backup-simplify: Simplify 1 into 1 1538416854.789 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.789 * [misc]backup-simplify: Simplify 2 into 2 1538416854.789 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538416854.789 * [misc]taylor: Taking taylor expansion of n in k 1538416854.789 * [misc]backup-simplify: Simplify n into n 1538416854.789 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.789 * [misc]backup-simplify: Simplify PI into PI 1538416854.789 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538416854.789 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538416854.790 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538416854.790 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416854.790 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.790 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.791 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538416854.791 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538416854.791 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.791 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.791 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.791 * [misc]taylor: Taking taylor expansion of k in n 1538416854.791 * [misc]backup-simplify: Simplify k into k 1538416854.791 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.791 * [misc]backup-simplify: Simplify 2 into 2 1538416854.791 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.791 * [misc]taylor: Taking taylor expansion of n in n 1538416854.791 * [misc]backup-simplify: Simplify 0 into 0 1538416854.791 * [misc]backup-simplify: Simplify 1 into 1 1538416854.791 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.791 * [misc]backup-simplify: Simplify PI into PI 1538416854.792 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416854.792 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416854.793 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416854.793 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538416854.794 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.794 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416854.794 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416854.794 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416854.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.795 * [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)))) 1538416854.796 * [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))))) 1538416854.796 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.796 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.796 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.796 * [misc]taylor: Taking taylor expansion of k in n 1538416854.796 * [misc]backup-simplify: Simplify k into k 1538416854.796 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.796 * [misc]backup-simplify: Simplify 2 into 2 1538416854.796 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.796 * [misc]taylor: Taking taylor expansion of n in n 1538416854.796 * [misc]backup-simplify: Simplify 0 into 0 1538416854.796 * [misc]backup-simplify: Simplify 1 into 1 1538416854.796 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.796 * [misc]backup-simplify: Simplify PI into PI 1538416854.797 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416854.797 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416854.797 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416854.798 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538416854.799 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.799 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416854.799 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416854.799 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416854.800 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.800 * [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)))) 1538416854.801 * [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))))) 1538416854.801 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.801 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.801 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.801 * [misc]taylor: Taking taylor expansion of k in k 1538416854.801 * [misc]backup-simplify: Simplify 0 into 0 1538416854.801 * [misc]backup-simplify: Simplify 1 into 1 1538416854.801 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of n in k 1538416854.801 * [misc]backup-simplify: Simplify n into n 1538416854.801 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416854.801 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538416854.801 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.801 * [misc]backup-simplify: Simplify 2 into 2 1538416854.801 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.801 * [misc]backup-simplify: Simplify PI into PI 1538416854.802 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.802 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.802 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416854.803 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.803 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.803 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.804 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538416854.804 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538416854.805 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538416854.806 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538416854.807 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538416854.810 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416854.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538416854.810 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.811 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.811 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.812 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538416854.814 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416854.814 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.814 * [misc]backup-simplify: Simplify 0 into 0 1538416854.814 * [misc]backup-simplify: Simplify 0 into 0 1538416854.815 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416854.815 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538416854.818 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416854.818 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.819 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416854.819 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416854.819 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416854.820 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538416854.821 * [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))))))) 1538416854.822 * [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))))))) 1538416854.825 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.826 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538416854.831 * [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 1538416854.832 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538416854.832 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.832 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.833 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.833 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538416854.836 * [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 1538416854.836 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.836 * [misc]backup-simplify: Simplify 0 into 0 1538416854.836 * [misc]backup-simplify: Simplify 0 into 0 1538416854.836 * [misc]backup-simplify: Simplify 0 into 0 1538416854.837 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538416854.837 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416854.840 * [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 1538416854.840 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.840 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416854.840 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538416854.842 * [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))))) 1538416854.844 * [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))))) 1538416854.847 * [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))))) 1538416854.848 * [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)))) 1538416854.848 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538416854.848 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.848 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.848 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.848 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of k in k 1538416854.848 * [misc]backup-simplify: Simplify 0 into 0 1538416854.848 * [misc]backup-simplify: Simplify 1 into 1 1538416854.848 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.848 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.848 * [misc]backup-simplify: Simplify 2 into 2 1538416854.848 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538416854.848 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.848 * [misc]backup-simplify: Simplify PI into PI 1538416854.848 * [misc]taylor: Taking taylor expansion of n in k 1538416854.848 * [misc]backup-simplify: Simplify n into n 1538416854.848 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538416854.848 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538416854.848 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538416854.849 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416854.849 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416854.849 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416854.849 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538416854.849 * [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)))) 1538416854.849 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.849 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.849 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.849 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of k in n 1538416854.849 * [misc]backup-simplify: Simplify k into k 1538416854.849 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.849 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.849 * [misc]backup-simplify: Simplify 2 into 2 1538416854.849 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.849 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.849 * [misc]backup-simplify: Simplify PI into PI 1538416854.849 * [misc]taylor: Taking taylor expansion of n in n 1538416854.849 * [misc]backup-simplify: Simplify 0 into 0 1538416854.849 * [misc]backup-simplify: Simplify 1 into 1 1538416854.850 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.850 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.850 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.850 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416854.850 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416854.850 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416854.851 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416854.851 * [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))) 1538416854.851 * [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)))) 1538416854.851 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.852 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.852 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of k in n 1538416854.852 * [misc]backup-simplify: Simplify k into k 1538416854.852 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.852 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.852 * [misc]backup-simplify: Simplify 2 into 2 1538416854.852 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.852 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.852 * [misc]backup-simplify: Simplify PI into PI 1538416854.852 * [misc]taylor: Taking taylor expansion of n in n 1538416854.852 * [misc]backup-simplify: Simplify 0 into 0 1538416854.852 * [misc]backup-simplify: Simplify 1 into 1 1538416854.852 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.852 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.852 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.853 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416854.853 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416854.853 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416854.853 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416854.853 * [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))) 1538416854.854 * [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)))) 1538416854.854 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.854 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.854 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.854 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of k in k 1538416854.854 * [misc]backup-simplify: Simplify 0 into 0 1538416854.854 * [misc]backup-simplify: Simplify 1 into 1 1538416854.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.854 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538416854.854 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.854 * [misc]backup-simplify: Simplify 2 into 2 1538416854.854 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.854 * [misc]backup-simplify: Simplify PI into PI 1538416854.854 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.855 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.855 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416854.855 * [misc]taylor: Taking taylor expansion of n in k 1538416854.855 * [misc]backup-simplify: Simplify n into n 1538416854.855 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416854.855 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416854.855 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416854.855 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416854.855 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416854.856 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538416854.856 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538416854.856 * [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)))) 1538416854.857 * [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)))) 1538416854.858 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416854.858 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538416854.860 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416854.860 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416854.860 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416854.860 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.861 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.861 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416854.861 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538416854.862 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416854.862 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.862 * [misc]backup-simplify: Simplify 0 into 0 1538416854.862 * [misc]backup-simplify: Simplify 0 into 0 1538416854.862 * [misc]backup-simplify: Simplify 0 into 0 1538416854.863 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.864 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416854.867 * [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 1538416854.867 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416854.867 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416854.868 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.868 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416854.869 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538416854.870 * [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 1538416854.870 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.870 * [misc]backup-simplify: Simplify 0 into 0 1538416854.870 * [misc]backup-simplify: Simplify 0 into 0 1538416854.870 * [misc]backup-simplify: Simplify 0 into 0 1538416854.870 * [misc]backup-simplify: Simplify 0 into 0 1538416854.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.872 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.877 * [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 1538416854.877 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416854.877 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416854.878 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.878 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.878 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416854.879 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538416854.881 * [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 1538416854.881 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.881 * [misc]backup-simplify: Simplify 0 into 0 1538416854.881 * [misc]backup-simplify: Simplify 0 into 0 1538416854.881 * [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))))) 1538416854.882 * [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)) 1538416854.882 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538416854.882 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of k in k 1538416854.882 * [misc]backup-simplify: Simplify 0 into 0 1538416854.882 * [misc]backup-simplify: Simplify 1 into 1 1538416854.882 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.882 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of -2 in k 1538416854.882 * [misc]backup-simplify: Simplify -2 into -2 1538416854.882 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538416854.882 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.882 * [misc]backup-simplify: Simplify PI into PI 1538416854.882 * [misc]taylor: Taking taylor expansion of n in k 1538416854.882 * [misc]backup-simplify: Simplify n into n 1538416854.882 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538416854.882 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538416854.882 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538416854.882 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416854.882 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.883 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538416854.883 * [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))) 1538416854.883 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of k in n 1538416854.883 * [misc]backup-simplify: Simplify k into k 1538416854.883 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.883 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.883 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of -2 in n 1538416854.883 * [misc]backup-simplify: Simplify -2 into -2 1538416854.883 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.883 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.883 * [misc]backup-simplify: Simplify PI into PI 1538416854.883 * [misc]taylor: Taking taylor expansion of n in n 1538416854.883 * [misc]backup-simplify: Simplify 0 into 0 1538416854.883 * [misc]backup-simplify: Simplify 1 into 1 1538416854.883 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.883 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416854.884 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416854.884 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416854.884 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416854.884 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416854.885 * [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))) 1538416854.885 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1538416854.885 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of k in n 1538416854.885 * [misc]backup-simplify: Simplify k into k 1538416854.885 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.885 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.885 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.885 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of -2 in n 1538416854.885 * [misc]backup-simplify: Simplify -2 into -2 1538416854.885 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.885 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.885 * [misc]backup-simplify: Simplify PI into PI 1538416854.885 * [misc]taylor: Taking taylor expansion of n in n 1538416854.885 * [misc]backup-simplify: Simplify 0 into 0 1538416854.885 * [misc]backup-simplify: Simplify 1 into 1 1538416854.886 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.886 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416854.886 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416854.886 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416854.886 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416854.887 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416854.887 * [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))) 1538416854.887 * [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)))) 1538416854.888 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.888 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of k in k 1538416854.888 * [misc]backup-simplify: Simplify 0 into 0 1538416854.888 * [misc]backup-simplify: Simplify 1 into 1 1538416854.888 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.888 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.888 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.888 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of -2 in k 1538416854.888 * [misc]backup-simplify: Simplify -2 into -2 1538416854.888 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.888 * [misc]backup-simplify: Simplify PI into PI 1538416854.888 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416854.888 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416854.888 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416854.888 * [misc]taylor: Taking taylor expansion of n in k 1538416854.888 * [misc]backup-simplify: Simplify n into n 1538416854.888 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416854.889 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416854.889 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.889 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416854.889 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538416854.891 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538416854.892 * [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)))) 1538416854.892 * [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)))) 1538416854.893 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416854.893 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538416854.895 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538416854.895 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416854.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416854.895 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.896 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416854.896 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538416854.897 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416854.897 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.897 * [misc]backup-simplify: Simplify 0 into 0 1538416854.897 * [misc]backup-simplify: Simplify 0 into 0 1538416854.898 * [misc]backup-simplify: Simplify 0 into 0 1538416854.898 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.899 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416854.902 * [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 1538416854.902 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416854.902 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416854.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.903 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416854.903 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538416854.905 * [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 1538416854.905 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.905 * [misc]backup-simplify: Simplify 0 into 0 1538416854.905 * [misc]backup-simplify: Simplify 0 into 0 1538416854.905 * [misc]backup-simplify: Simplify 0 into 0 1538416854.905 * [misc]backup-simplify: Simplify 0 into 0 1538416854.906 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.907 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.911 * [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 1538416854.911 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416854.912 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416854.912 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416854.913 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1538416854.915 * [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 1538416854.915 * [misc]taylor: Taking taylor expansion of 0 in k 1538416854.915 * [misc]backup-simplify: Simplify 0 into 0 1538416854.915 * [misc]backup-simplify: Simplify 0 into 0 1538416854.915 * [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))))) 1538416854.916 * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1 1) 1538416854.916 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1538416854.916 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1538416854.916 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.916 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.916 * [misc]backup-simplify: Simplify 2 into 2 1538416854.916 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.916 * [misc]taylor: Taking taylor expansion of n in n 1538416854.916 * [misc]backup-simplify: Simplify 0 into 0 1538416854.916 * [misc]backup-simplify: Simplify 1 into 1 1538416854.916 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.916 * [misc]backup-simplify: Simplify PI into PI 1538416854.916 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.916 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.916 * [misc]backup-simplify: Simplify 2 into 2 1538416854.916 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.916 * [misc]taylor: Taking taylor expansion of n in n 1538416854.916 * [misc]backup-simplify: Simplify 0 into 0 1538416854.916 * [misc]backup-simplify: Simplify 1 into 1 1538416854.916 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.916 * [misc]backup-simplify: Simplify PI into PI 1538416854.916 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416854.917 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416854.917 * [misc]backup-simplify: Simplify 0 into 0 1538416854.917 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416854.917 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538416854.917 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.918 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538416854.919 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538416854.919 * [misc]backup-simplify: Simplify 0 into 0 1538416854.920 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.921 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538416854.921 * [misc]backup-simplify: Simplify 0 into 0 1538416854.922 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538416854.923 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538416854.923 * [misc]backup-simplify: Simplify 0 into 0 1538416854.926 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538416854.928 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1538416854.929 * [misc]backup-simplify: Simplify 0 into 0 1538416854.932 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538416854.935 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1538416854.935 * [misc]backup-simplify: Simplify 0 into 0 1538416854.939 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1538416854.943 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1538416854.943 * [misc]backup-simplify: Simplify 0 into 0 1538416854.944 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1538416854.944 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1538416854.944 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1538416854.944 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416854.944 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.944 * [misc]backup-simplify: Simplify 2 into 2 1538416854.944 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.944 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.944 * [misc]backup-simplify: Simplify PI into PI 1538416854.944 * [misc]taylor: Taking taylor expansion of n in n 1538416854.944 * [misc]backup-simplify: Simplify 0 into 0 1538416854.944 * [misc]backup-simplify: Simplify 1 into 1 1538416854.945 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.945 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416854.945 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.945 * [misc]backup-simplify: Simplify 2 into 2 1538416854.945 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.945 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.945 * [misc]backup-simplify: Simplify PI into PI 1538416854.945 * [misc]taylor: Taking taylor expansion of n in n 1538416854.945 * [misc]backup-simplify: Simplify 0 into 0 1538416854.945 * [misc]backup-simplify: Simplify 1 into 1 1538416854.945 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.945 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.946 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.947 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416854.948 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538416854.948 * [misc]backup-simplify: Simplify 0 into 0 1538416854.949 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.950 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416854.950 * [misc]backup-simplify: Simplify 0 into 0 1538416854.952 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.953 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.953 * [misc]backup-simplify: Simplify 0 into 0 1538416854.955 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.957 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538416854.957 * [misc]backup-simplify: Simplify 0 into 0 1538416854.959 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.961 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538416854.961 * [misc]backup-simplify: Simplify 0 into 0 1538416854.962 * [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 1538416854.964 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538416854.964 * [misc]backup-simplify: Simplify 0 into 0 1538416854.964 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1538416854.964 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1538416854.964 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1538416854.964 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416854.964 * [misc]taylor: Taking taylor expansion of -2 in n 1538416854.964 * [misc]backup-simplify: Simplify -2 into -2 1538416854.965 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.965 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.965 * [misc]backup-simplify: Simplify PI into PI 1538416854.965 * [misc]taylor: Taking taylor expansion of n in n 1538416854.965 * [misc]backup-simplify: Simplify 0 into 0 1538416854.965 * [misc]backup-simplify: Simplify 1 into 1 1538416854.965 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.965 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416854.965 * [misc]taylor: Taking taylor expansion of -2 in n 1538416854.965 * [misc]backup-simplify: Simplify -2 into -2 1538416854.965 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416854.965 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.965 * [misc]backup-simplify: Simplify PI into PI 1538416854.965 * [misc]taylor: Taking taylor expansion of n in n 1538416854.965 * [misc]backup-simplify: Simplify 0 into 0 1538416854.965 * [misc]backup-simplify: Simplify 1 into 1 1538416854.965 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416854.965 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416854.965 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416854.966 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416854.966 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538416854.966 * [misc]backup-simplify: Simplify 0 into 0 1538416854.967 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.968 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416854.968 * [misc]backup-simplify: Simplify 0 into 0 1538416854.969 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.970 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416854.970 * [misc]backup-simplify: Simplify 0 into 0 1538416854.971 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.972 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538416854.972 * [misc]backup-simplify: Simplify 0 into 0 1538416854.974 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416854.975 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1538416854.975 * [misc]backup-simplify: Simplify 0 into 0 1538416854.976 * [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 1538416854.978 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1538416854.978 * [misc]backup-simplify: Simplify 0 into 0 1538416854.979 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1538416854.979 * * * * [misc]progress: [ 3 / 3 ] generating series at (2) 1538416854.979 * [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)))) 1538416854.979 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1538416854.979 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1538416854.979 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416854.979 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.979 * [misc]taylor: Taking taylor expansion of k in k 1538416854.979 * [misc]backup-simplify: Simplify 0 into 0 1538416854.979 * [misc]backup-simplify: Simplify 1 into 1 1538416854.979 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.979 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416854.980 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416854.980 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.980 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.980 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.980 * [misc]taylor: Taking taylor expansion of k in k 1538416854.980 * [misc]backup-simplify: Simplify 0 into 0 1538416854.980 * [misc]backup-simplify: Simplify 1 into 1 1538416854.980 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.980 * [misc]backup-simplify: Simplify 2 into 2 1538416854.980 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1538416854.980 * [misc]taylor: Taking taylor expansion of n in k 1538416854.980 * [misc]backup-simplify: Simplify n into n 1538416854.980 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.980 * [misc]backup-simplify: Simplify PI into PI 1538416854.980 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1538416854.980 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1538416854.980 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1538416854.980 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416854.981 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.981 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.981 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1538416854.981 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1538416854.981 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of k in n 1538416854.981 * [misc]backup-simplify: Simplify k into k 1538416854.981 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.981 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416854.981 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416854.981 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416854.981 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.981 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.981 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.981 * [misc]taylor: Taking taylor expansion of k in n 1538416854.981 * [misc]backup-simplify: Simplify k into k 1538416854.981 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.981 * [misc]backup-simplify: Simplify 2 into 2 1538416854.981 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.981 * [misc]taylor: Taking taylor expansion of n in n 1538416854.981 * [misc]backup-simplify: Simplify 0 into 0 1538416854.981 * [misc]backup-simplify: Simplify 1 into 1 1538416854.981 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.981 * [misc]backup-simplify: Simplify PI into PI 1538416854.982 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416854.982 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416854.982 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416854.982 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538416854.983 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.983 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416854.983 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416854.983 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416854.983 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.984 * [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)))) 1538416854.984 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) into (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) 1538416854.984 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of k in n 1538416854.984 * [misc]backup-simplify: Simplify k into k 1538416854.984 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416854.984 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416854.984 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416854.984 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416854.984 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416854.984 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.984 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.985 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416854.985 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416854.985 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.985 * [misc]taylor: Taking taylor expansion of k in n 1538416854.985 * [misc]backup-simplify: Simplify k into k 1538416854.985 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1538416854.985 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1538416854.985 * [misc]taylor: Taking taylor expansion of 2 in n 1538416854.985 * [misc]backup-simplify: Simplify 2 into 2 1538416854.985 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416854.985 * [misc]taylor: Taking taylor expansion of n in n 1538416854.985 * [misc]backup-simplify: Simplify 0 into 0 1538416854.985 * [misc]backup-simplify: Simplify 1 into 1 1538416854.985 * [misc]taylor: Taking taylor expansion of PI in n 1538416854.985 * [misc]backup-simplify: Simplify PI into PI 1538416854.985 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416854.985 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416854.985 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416854.986 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1538416854.986 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.986 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416854.986 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416854.986 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416854.987 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.987 * [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)))) 1538416854.987 * [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))))) 1538416854.988 * [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))) 1538416854.988 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1538416854.988 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1538416854.988 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1538416854.988 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416854.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.988 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416854.988 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416854.988 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416854.988 * [misc]taylor: Taking taylor expansion of k in k 1538416854.989 * [misc]backup-simplify: Simplify 0 into 0 1538416854.989 * [misc]backup-simplify: Simplify 1 into 1 1538416854.989 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1538416854.989 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416854.989 * [misc]taylor: Taking taylor expansion of n in k 1538416854.989 * [misc]backup-simplify: Simplify n into n 1538416854.989 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416854.989 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538416854.989 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538416854.989 * [misc]taylor: Taking taylor expansion of 2 in k 1538416854.989 * [misc]backup-simplify: Simplify 2 into 2 1538416854.989 * [misc]taylor: Taking taylor expansion of PI in k 1538416854.989 * [misc]backup-simplify: Simplify PI into PI 1538416854.989 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416854.990 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416854.990 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416854.990 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.990 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416854.991 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416854.991 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1538416854.992 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1538416854.992 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416854.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416854.992 * [misc]taylor: Taking taylor expansion of k in k 1538416854.992 * [misc]backup-simplify: Simplify 0 into 0 1538416854.992 * [misc]backup-simplify: Simplify 1 into 1 1538416854.992 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416854.992 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416854.992 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416854.993 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1538416854.993 * [misc]backup-simplify: Simplify 0 into 0 1538416854.994 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538416854.995 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1538416854.998 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416854.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538416854.998 * [misc]backup-simplify: Simplify (- 0) into 0 1538416854.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416854.999 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416855.000 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1538416855.002 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416855.003 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1538416855.003 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.003 * [misc]backup-simplify: Simplify 0 into 0 1538416855.003 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416855.004 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538416855.007 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416855.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.007 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416855.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416855.008 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416855.008 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1538416855.011 * [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))))))) 1538416855.013 * [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))))))) 1538416855.014 * [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))))))) 1538416855.016 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416855.017 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1538416855.022 * [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 1538416855.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538416855.023 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.023 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.024 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416855.024 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538416855.026 * [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 1538416855.026 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.027 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1538416855.027 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1538416855.027 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.027 * [misc]backup-simplify: Simplify 0 into 0 1538416855.027 * [misc]backup-simplify: Simplify 0 into 0 1538416855.027 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416855.028 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416855.029 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538416855.030 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416855.032 * [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 1538416855.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.033 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416855.033 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.033 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.033 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1538416855.035 * [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))))) 1538416855.038 * [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)))))))) 1538416855.039 * [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)))))))) 1538416855.040 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1538416855.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1538416855.046 * [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 1538416855.047 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538416855.047 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.047 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.047 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1538416855.048 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538416855.050 * [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 1538416855.050 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.050 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1538416855.051 * [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 1538416855.051 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.051 * [misc]backup-simplify: Simplify 0 into 0 1538416855.051 * [misc]backup-simplify: Simplify 0 into 0 1538416855.051 * [misc]backup-simplify: Simplify 0 into 0 1538416855.051 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416855.052 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416855.053 * [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 1538416855.054 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416855.059 * [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 1538416855.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.059 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416855.059 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.059 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.060 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1538416855.062 * [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))))))) 1538416855.067 * [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)))))))))))))) 1538416855.071 * [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)))))))))))))) 1538416855.078 * [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)))))))))))))))))))))) 1538416855.078 * [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))))) 1538416855.078 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1538416855.078 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416855.078 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416855.078 * [misc]taylor: Taking taylor expansion of k in k 1538416855.078 * [misc]backup-simplify: Simplify 0 into 0 1538416855.078 * [misc]backup-simplify: Simplify 1 into 1 1538416855.078 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416855.079 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416855.079 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.079 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.079 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.079 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of k in k 1538416855.079 * [misc]backup-simplify: Simplify 0 into 0 1538416855.079 * [misc]backup-simplify: Simplify 1 into 1 1538416855.079 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416855.079 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of 2 in k 1538416855.079 * [misc]backup-simplify: Simplify 2 into 2 1538416855.079 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538416855.079 * [misc]taylor: Taking taylor expansion of PI in k 1538416855.079 * [misc]backup-simplify: Simplify PI into PI 1538416855.079 * [misc]taylor: Taking taylor expansion of n in k 1538416855.079 * [misc]backup-simplify: Simplify n into n 1538416855.079 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538416855.079 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1538416855.079 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1538416855.079 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416855.079 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416855.080 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416855.080 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1538416855.080 * [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)))) 1538416855.080 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of k in n 1538416855.080 * [misc]backup-simplify: Simplify k into k 1538416855.080 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416855.080 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416855.080 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.080 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.080 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.080 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of k in n 1538416855.080 * [misc]backup-simplify: Simplify k into k 1538416855.080 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416855.080 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of 2 in n 1538416855.080 * [misc]backup-simplify: Simplify 2 into 2 1538416855.080 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416855.080 * [misc]taylor: Taking taylor expansion of PI in n 1538416855.080 * [misc]backup-simplify: Simplify PI into PI 1538416855.080 * [misc]taylor: Taking taylor expansion of n in n 1538416855.080 * [misc]backup-simplify: Simplify 0 into 0 1538416855.080 * [misc]backup-simplify: Simplify 1 into 1 1538416855.080 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416855.081 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416855.081 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416855.081 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416855.081 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416855.081 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416855.081 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416855.082 * [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))) 1538416855.082 * [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)))) 1538416855.082 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of k in n 1538416855.082 * [misc]backup-simplify: Simplify k into k 1538416855.082 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416855.082 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416855.082 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416855.082 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.082 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.083 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416855.083 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.083 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416855.083 * [misc]taylor: Taking taylor expansion of k in n 1538416855.083 * [misc]backup-simplify: Simplify k into k 1538416855.083 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416855.083 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1538416855.083 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1538416855.083 * [misc]taylor: Taking taylor expansion of 2 in n 1538416855.083 * [misc]backup-simplify: Simplify 2 into 2 1538416855.083 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416855.083 * [misc]taylor: Taking taylor expansion of PI in n 1538416855.083 * [misc]backup-simplify: Simplify PI into PI 1538416855.083 * [misc]taylor: Taking taylor expansion of n in n 1538416855.083 * [misc]backup-simplify: Simplify 0 into 0 1538416855.083 * [misc]backup-simplify: Simplify 1 into 1 1538416855.083 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416855.083 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416855.084 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416855.084 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416855.084 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416855.084 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416855.084 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416855.085 * [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))) 1538416855.086 * [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)))) 1538416855.086 * [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)) 1538416855.086 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.087 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.087 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.087 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of k in k 1538416855.087 * [misc]backup-simplify: Simplify 0 into 0 1538416855.087 * [misc]backup-simplify: Simplify 1 into 1 1538416855.087 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416855.087 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1538416855.087 * [misc]taylor: Taking taylor expansion of 2 in k 1538416855.087 * [misc]backup-simplify: Simplify 2 into 2 1538416855.087 * [misc]taylor: Taking taylor expansion of PI in k 1538416855.087 * [misc]backup-simplify: Simplify PI into PI 1538416855.087 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1538416855.088 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1538416855.088 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416855.088 * [misc]taylor: Taking taylor expansion of n in k 1538416855.088 * [misc]backup-simplify: Simplify n into n 1538416855.088 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416855.088 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416855.088 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416855.089 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416855.089 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416855.089 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1538416855.090 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1538416855.090 * [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)))) 1538416855.090 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416855.090 * [misc]taylor: Taking taylor expansion of k in k 1538416855.090 * [misc]backup-simplify: Simplify 0 into 0 1538416855.090 * [misc]backup-simplify: Simplify 1 into 1 1538416855.091 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416855.091 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416855.092 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1538416855.092 * [misc]backup-simplify: Simplify 0 into 0 1538416855.093 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416855.093 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1538416855.096 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1538416855.096 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416855.097 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416855.097 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.097 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.098 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416855.098 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1538416855.100 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416855.101 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1538416855.101 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.101 * [misc]backup-simplify: Simplify 0 into 0 1538416855.101 * [misc]backup-simplify: Simplify 0 into 0 1538416855.102 * [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)))))) 1538416855.102 * [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)))))) 1538416855.104 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416855.105 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416855.110 * [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 1538416855.110 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.110 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416855.111 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416855.112 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1538416855.115 * [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 1538416855.115 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1538416855.116 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1538416855.116 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.116 * [misc]backup-simplify: Simplify 0 into 0 1538416855.116 * [misc]backup-simplify: Simplify 0 into 0 1538416855.116 * [misc]backup-simplify: Simplify 0 into 0 1538416855.117 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416855.118 * [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)))))) 1538416855.119 * [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)))))) 1538416855.121 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416855.122 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1538416855.132 * [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 1538416855.133 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.133 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416855.133 * [misc]backup-simplify: Simplify (- 0) into 0 1538416855.134 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.134 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1538416855.135 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1538416855.139 * [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 1538416855.139 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1538416855.140 * [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 1538416855.140 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.140 * [misc]backup-simplify: Simplify 0 into 0 1538416855.140 * [misc]backup-simplify: Simplify 0 into 0 1538416855.140 * [misc]backup-simplify: Simplify 0 into 0 1538416855.140 * [misc]backup-simplify: Simplify 0 into 0 1538416855.141 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416855.142 * [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)))))) 1538416855.143 * [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)))))) 1538416855.146 * [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)))))))) 1538416855.146 * [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))) 1538416855.146 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1538416855.146 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416855.146 * [misc]taylor: Taking taylor expansion of k in k 1538416855.146 * [misc]backup-simplify: Simplify 0 into 0 1538416855.147 * [misc]backup-simplify: Simplify 1 into 1 1538416855.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416855.147 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.147 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.147 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1538416855.147 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1538416855.147 * [misc]taylor: Taking taylor expansion of -2 in k 1538416855.147 * [misc]backup-simplify: Simplify -2 into -2 1538416855.147 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1538416855.147 * [misc]taylor: Taking taylor expansion of PI in k 1538416855.147 * [misc]backup-simplify: Simplify PI into PI 1538416855.147 * [misc]taylor: Taking taylor expansion of n in k 1538416855.147 * [misc]backup-simplify: Simplify n into n 1538416855.147 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1538416855.147 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1538416855.147 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1538416855.147 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416855.148 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416855.148 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1538416855.148 * [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))) 1538416855.148 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416855.148 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416855.148 * [misc]taylor: Taking taylor expansion of -1 in k 1538416855.148 * [misc]backup-simplify: Simplify -1 into -1 1538416855.148 * [misc]taylor: Taking taylor expansion of k in k 1538416855.148 * [misc]backup-simplify: Simplify 0 into 0 1538416855.148 * [misc]backup-simplify: Simplify 1 into 1 1538416855.148 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416855.148 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416855.149 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416855.149 * [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)))) 1538416855.149 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538416855.149 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416855.149 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538416855.149 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538416855.149 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416855.149 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416855.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.150 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416855.150 * [misc]taylor: Taking taylor expansion of k in n 1538416855.150 * [misc]backup-simplify: Simplify k into k 1538416855.150 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416855.150 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.150 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.150 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538416855.150 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416855.150 * [misc]taylor: Taking taylor expansion of -2 in n 1538416855.150 * [misc]backup-simplify: Simplify -2 into -2 1538416855.150 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416855.150 * [misc]taylor: Taking taylor expansion of PI in n 1538416855.150 * [misc]backup-simplify: Simplify PI into PI 1538416855.150 * [misc]taylor: Taking taylor expansion of n in n 1538416855.150 * [misc]backup-simplify: Simplify 0 into 0 1538416855.150 * [misc]backup-simplify: Simplify 1 into 1 1538416855.150 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416855.151 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416855.151 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416855.151 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416855.151 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416855.152 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416855.152 * [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))) 1538416855.153 * [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)))) 1538416855.153 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416855.153 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416855.153 * [misc]taylor: Taking taylor expansion of -1 in n 1538416855.153 * [misc]backup-simplify: Simplify -1 into -1 1538416855.153 * [misc]taylor: Taking taylor expansion of k in n 1538416855.153 * [misc]backup-simplify: Simplify k into k 1538416855.153 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416855.153 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416855.153 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416855.154 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416855.154 * [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))) 1538416855.154 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1538416855.154 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416855.154 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1538416855.154 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1538416855.154 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416855.154 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416855.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416855.155 * [misc]taylor: Taking taylor expansion of k in n 1538416855.155 * [misc]backup-simplify: Simplify k into k 1538416855.155 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416855.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416855.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.155 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1538416855.155 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1538416855.155 * [misc]taylor: Taking taylor expansion of -2 in n 1538416855.155 * [misc]backup-simplify: Simplify -2 into -2 1538416855.155 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1538416855.155 * [misc]taylor: Taking taylor expansion of PI in n 1538416855.155 * [misc]backup-simplify: Simplify PI into PI 1538416855.155 * [misc]taylor: Taking taylor expansion of n in n 1538416855.155 * [misc]backup-simplify: Simplify 0 into 0 1538416855.155 * [misc]backup-simplify: Simplify 1 into 1 1538416855.155 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1538416855.156 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416855.156 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416855.156 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416855.156 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416855.157 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416855.157 * [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))) 1538416855.158 * [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)))) 1538416855.158 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416855.158 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416855.158 * [misc]taylor: Taking taylor expansion of -1 in n 1538416855.158 * [misc]backup-simplify: Simplify -1 into -1 1538416855.158 * [misc]taylor: Taking taylor expansion of k in n 1538416855.158 * [misc]backup-simplify: Simplify k into k 1538416855.158 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416855.158 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416855.159 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416855.159 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416855.159 * [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))) 1538416855.159 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1538416855.159 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.160 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of k in k 1538416855.160 * [misc]backup-simplify: Simplify 0 into 0 1538416855.160 * [misc]backup-simplify: Simplify 1 into 1 1538416855.160 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416855.160 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416855.160 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416855.160 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1538416855.160 * [misc]taylor: Taking taylor expansion of -2 in k 1538416855.160 * [misc]backup-simplify: Simplify -2 into -2 1538416855.160 * [misc]taylor: Taking taylor expansion of PI in k 1538416855.160 * [misc]backup-simplify: Simplify PI into PI 1538416855.160 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1538416855.161 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1538416855.161 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416855.161 * [misc]taylor: Taking taylor expansion of n in k 1538416855.161 * [misc]backup-simplify: Simplify n into n 1538416855.161 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416855.161 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416855.161 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416855.161 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416855.162 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1538416855.162 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1538416855.163 * [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)))) 1538416855.163 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416855.163 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416855.163 * [misc]taylor: Taking taylor expansion of -1 in k 1538416855.163 * [misc]backup-simplify: Simplify -1 into -1 1538416855.163 * [misc]taylor: Taking taylor expansion of k in k 1538416855.163 * [misc]backup-simplify: Simplify 0 into 0 1538416855.163 * [misc]backup-simplify: Simplify 1 into 1 1538416855.163 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416855.164 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416855.164 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416855.165 * [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))))) 1538416855.165 * [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))))) 1538416855.166 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1538416855.167 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1538416855.170 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1538416855.170 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416855.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416855.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.171 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416855.172 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1538416855.173 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416855.174 * [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 1538416855.174 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.174 * [misc]backup-simplify: Simplify 0 into 0 1538416855.174 * [misc]backup-simplify: Simplify 0 into 0 1538416855.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416855.176 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416855.176 * [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)))))) 1538416855.177 * [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)))))) 1538416855.179 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416855.180 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1538416855.185 * [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 1538416855.185 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.186 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416855.186 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416855.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1538416855.187 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1538416855.189 * [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 1538416855.190 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416855.190 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1538416855.191 * [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 1538416855.191 * [misc]taylor: Taking taylor expansion of 0 in k 1538416855.191 * [misc]backup-simplify: Simplify 0 into 0 1538416855.191 * [misc]backup-simplify: Simplify 0 into 0 1538416855.191 * [misc]backup-simplify: Simplify 0 into 0 1538416855.192 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416855.193 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416855.195 * [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)))))) 1538416855.196 * [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)))))) 1538416855.198 * [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))))))))))) 1538416855.198 * * * [misc]progress: simplifying candidates 1538416855.198 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1538416855.199 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1538416855.199 * * [misc]simplify: iters left: 6 (11 enodes) 1538416855.202 * * [misc]simplify: iters left: 5 (21 enodes) 1538416855.209 * * [misc]simplify: iters left: 4 (47 enodes) 1538416855.225 * * [misc]simplify: iters left: 3 (109 enodes) 1538416855.275 * * [misc]simplify: iters left: 2 (300 enodes) 1538416855.491 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1538416855.491 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1538416855.491 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1538416855.491 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1538416855.492 * [enter]simplify: Simplifying (* PI (* n 2)) 1538416855.492 * * [misc]simplify: iters left: 4 (5 enodes) 1538416855.494 * * [misc]simplify: iters left: 3 (9 enodes) 1538416855.496 * * [misc]simplify: iters left: 2 (15 enodes) 1538416855.500 * * [misc]simplify: iters left: 1 (17 enodes) 1538416855.505 * [exit]simplify: Simplified to (* (* 2 n) PI) 1538416855.505 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1538416855.505 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1538416855.505 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1538416855.505 * * [misc]simplify: iters left: 5 (8 enodes) 1538416855.508 * * [misc]simplify: iters left: 4 (12 enodes) 1538416855.511 * * [misc]simplify: iters left: 3 (18 enodes) 1538416855.516 * * [misc]simplify: iters left: 2 (20 enodes) 1538416855.521 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1538416855.521 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1538416855.521 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1538416855.521 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416855.521 * * [misc]simplify: iters left: 5 (6 enodes) 1538416855.523 * * [misc]simplify: iters left: 4 (8 enodes) 1538416855.525 * * [misc]simplify: iters left: 3 (11 enodes) 1538416855.528 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416855.528 * [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))) 1538416855.528 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1538416855.528 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416855.528 * * [misc]simplify: iters left: 5 (6 enodes) 1538416855.530 * * [misc]simplify: iters left: 4 (8 enodes) 1538416855.532 * * [misc]simplify: iters left: 3 (11 enodes) 1538416855.535 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416855.535 * [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))) 1538416855.535 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1538416855.536 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416855.536 * * [misc]simplify: iters left: 4 (5 enodes) 1538416855.537 * * [misc]simplify: iters left: 3 (7 enodes) 1538416855.539 * * [misc]simplify: iters left: 2 (10 enodes) 1538416855.542 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416855.542 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1538416855.542 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1538416855.542 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538416855.542 * * [misc]simplify: iters left: 5 (9 enodes) 1538416855.545 * * [misc]simplify: iters left: 4 (15 enodes) 1538416855.549 * * [misc]simplify: iters left: 3 (21 enodes) 1538416855.555 * * [misc]simplify: iters left: 2 (22 enodes) 1538416855.560 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538416855.560 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538416855.560 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1538416855.560 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1538416855.560 * * [misc]simplify: iters left: 5 (9 enodes) 1538416855.563 * * [misc]simplify: iters left: 4 (15 enodes) 1538416855.568 * * [misc]simplify: iters left: 3 (21 enodes) 1538416855.573 * * [misc]simplify: iters left: 2 (22 enodes) 1538416855.578 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1538416855.578 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1538416855.578 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1538416855.579 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538416855.579 * * [misc]simplify: iters left: 5 (7 enodes) 1538416855.581 * * [misc]simplify: iters left: 4 (9 enodes) 1538416855.583 * * [misc]simplify: iters left: 3 (12 enodes) 1538416855.587 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538416855.587 * [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))) 1538416855.587 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1538416855.587 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1538416855.588 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1538416855.588 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1538416855.588 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1538416855.588 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1538416855.588 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1538416855.588 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416855.588 * * [misc]simplify: iters left: 6 (14 enodes) 1538416855.596 * * [misc]simplify: iters left: 5 (26 enodes) 1538416855.605 * * [misc]simplify: iters left: 4 (53 enodes) 1538416855.625 * * [misc]simplify: iters left: 3 (137 enodes) 1538416855.700 * * [misc]simplify: iters left: 2 (487 enodes) 1538416856.279 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1538416856.279 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1538416856.279 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1538416856.279 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416856.280 * * [misc]simplify: iters left: 6 (14 enodes) 1538416856.284 * * [misc]simplify: iters left: 5 (26 enodes) 1538416856.292 * * [misc]simplify: iters left: 4 (53 enodes) 1538416856.312 * * [misc]simplify: iters left: 3 (137 enodes) 1538416856.376 * * [misc]simplify: iters left: 2 (487 enodes) 1538416856.923 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1538416856.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1538416856.923 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1538416856.923 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1538416856.923 * * [misc]simplify: iters left: 6 (14 enodes) 1538416856.925 * * [misc]simplify: iters left: 5 (24 enodes) 1538416856.929 * * [misc]simplify: iters left: 4 (42 enodes) 1538416856.935 * * [misc]simplify: iters left: 3 (71 enodes) 1538416856.951 * * [misc]simplify: iters left: 2 (208 enodes) 1538416857.088 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416857.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538416857.088 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1538416857.088 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1538416857.088 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1538416857.089 * [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))) 1538416857.089 * * [misc]simplify: iters left: 6 (16 enodes) 1538416857.091 * * [misc]simplify: iters left: 5 (31 enodes) 1538416857.096 * * [misc]simplify: iters left: 4 (67 enodes) 1538416857.107 * * [misc]simplify: iters left: 3 (124 enodes) 1538416857.129 * * [misc]simplify: iters left: 2 (195 enodes) 1538416857.171 * * [misc]simplify: iters left: 1 (309 enodes) 1538416857.267 * [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)))) 1538416857.267 * [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)))))) 1538416857.267 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1538416857.267 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1538416857.267 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1538416857.267 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1538416857.267 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1538416857.268 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.268 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.269 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.272 * * [misc]simplify: iters left: 4 (25 enodes) 1538416857.275 * * [misc]simplify: iters left: 3 (26 enodes) 1538416857.279 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.279 * [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))))) 1538416857.279 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538416857.279 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.281 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.283 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.286 * * [misc]simplify: iters left: 3 (25 enodes) 1538416857.289 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538416857.289 * [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))))) 1538416857.289 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1538416857.290 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538416857.290 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.291 * * [misc]simplify: iters left: 5 (16 enodes) 1538416857.293 * * [misc]simplify: iters left: 4 (22 enodes) 1538416857.296 * * [misc]simplify: iters left: 3 (24 enodes) 1538416857.299 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538416857.299 * [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))))) 1538416857.299 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538416857.299 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.301 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.304 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.307 * * [misc]simplify: iters left: 3 (25 enodes) 1538416857.310 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538416857.310 * [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))))) 1538416857.310 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1538416857.310 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538416857.310 * * [misc]simplify: iters left: 6 (9 enodes) 1538416857.312 * * [misc]simplify: iters left: 5 (16 enodes) 1538416857.314 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.317 * * [misc]simplify: iters left: 3 (26 enodes) 1538416857.321 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538416857.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538416857.321 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538416857.321 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.323 * * [misc]simplify: iters left: 5 (17 enodes) 1538416857.325 * * [misc]simplify: iters left: 4 (23 enodes) 1538416857.328 * * [misc]simplify: iters left: 3 (24 enodes) 1538416857.331 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538416857.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538416857.331 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1538416857.332 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.332 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.334 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.337 * * [misc]simplify: iters left: 4 (25 enodes) 1538416857.340 * * [misc]simplify: iters left: 3 (26 enodes) 1538416857.344 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.344 * [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))))) 1538416857.344 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1538416857.344 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.346 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.348 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.351 * * [misc]simplify: iters left: 3 (25 enodes) 1538416857.354 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1538416857.354 * [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))))) 1538416857.354 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1538416857.355 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1538416857.355 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.356 * * [misc]simplify: iters left: 5 (16 enodes) 1538416857.358 * * [misc]simplify: iters left: 4 (22 enodes) 1538416857.361 * * [misc]simplify: iters left: 3 (24 enodes) 1538416857.364 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1538416857.364 * [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))))) 1538416857.364 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1538416857.364 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.366 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.368 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.371 * * [misc]simplify: iters left: 3 (25 enodes) 1538416857.374 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1538416857.374 * [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))))) 1538416857.374 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1538416857.375 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1538416857.375 * * [misc]simplify: iters left: 6 (9 enodes) 1538416857.376 * * [misc]simplify: iters left: 5 (16 enodes) 1538416857.378 * * [misc]simplify: iters left: 4 (24 enodes) 1538416857.381 * * [misc]simplify: iters left: 3 (26 enodes) 1538416857.384 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1538416857.384 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1538416857.384 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1538416857.384 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.386 * * [misc]simplify: iters left: 5 (17 enodes) 1538416857.388 * * [misc]simplify: iters left: 4 (23 enodes) 1538416857.391 * * [misc]simplify: iters left: 3 (24 enodes) 1538416857.395 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1538416857.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1538416857.395 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1538416857.395 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.395 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.398 * * [misc]simplify: iters left: 5 (15 enodes) 1538416857.402 * * [misc]simplify: iters left: 4 (18 enodes) 1538416857.407 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.407 * [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))))) 1538416857.407 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538416857.408 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.411 * * [misc]simplify: iters left: 5 (14 enodes) 1538416857.415 * * [misc]simplify: iters left: 4 (17 enodes) 1538416857.419 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538416857.419 * [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))))) 1538416857.419 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1538416857.419 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.419 * * [misc]simplify: iters left: 6 (10 enodes) 1538416857.422 * * [misc]simplify: iters left: 5 (12 enodes) 1538416857.425 * * [misc]simplify: iters left: 4 (15 enodes) 1538416857.429 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.429 * [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))))) 1538416857.429 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.430 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.433 * * [misc]simplify: iters left: 5 (14 enodes) 1538416857.437 * * [misc]simplify: iters left: 4 (17 enodes) 1538416857.441 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.441 * [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))))) 1538416857.441 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1538416857.441 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1538416857.442 * * [misc]simplify: iters left: 6 (9 enodes) 1538416857.444 * * [misc]simplify: iters left: 5 (13 enodes) 1538416857.448 * * [misc]simplify: iters left: 4 (18 enodes) 1538416857.452 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538416857.452 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538416857.453 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538416857.453 * * [misc]simplify: iters left: 6 (10 enodes) 1538416857.455 * * [misc]simplify: iters left: 5 (13 enodes) 1538416857.459 * * [misc]simplify: iters left: 4 (16 enodes) 1538416857.463 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1538416857.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1538416857.463 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1538416857.464 * [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)))) 1538416857.464 * * [misc]simplify: iters left: 6 (16 enodes) 1538416857.469 * * [misc]simplify: iters left: 5 (28 enodes) 1538416857.477 * * [misc]simplify: iters left: 4 (46 enodes) 1538416857.489 * * [misc]simplify: iters left: 3 (50 enodes) 1538416857.500 * * [misc]simplify: iters left: 2 (53 enodes) 1538416857.512 * [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)))) 1538416857.512 * [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))))) 1538416857.513 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538416857.513 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.517 * * [misc]simplify: iters left: 5 (20 enodes) 1538416857.523 * * [misc]simplify: iters left: 4 (29 enodes) 1538416857.531 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.539 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538416857.539 * [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))))) 1538416857.539 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1538416857.540 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416857.540 * * [misc]simplify: iters left: 6 (15 enodes) 1538416857.545 * * [misc]simplify: iters left: 5 (23 enodes) 1538416857.551 * * [misc]simplify: iters left: 4 (34 enodes) 1538416857.561 * * [misc]simplify: iters left: 3 (37 enodes) 1538416857.570 * [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)))))) 1538416857.570 * [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))))) 1538416857.570 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.570 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.574 * * [misc]simplify: iters left: 5 (20 enodes) 1538416857.580 * * [misc]simplify: iters left: 4 (29 enodes) 1538416857.587 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.595 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.595 * [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))))) 1538416857.595 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1538416857.595 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1538416857.595 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.600 * * [misc]simplify: iters left: 5 (24 enodes) 1538416857.607 * * [misc]simplify: iters left: 4 (39 enodes) 1538416857.617 * * [misc]simplify: iters left: 3 (54 enodes) 1538416857.630 * * [misc]simplify: iters left: 2 (80 enodes) 1538416857.650 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1538416857.650 * [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)))) 1538416857.650 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538416857.650 * * [misc]simplify: iters left: 6 (13 enodes) 1538416857.654 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.660 * * [misc]simplify: iters left: 4 (28 enodes) 1538416857.667 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.673 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538416857.674 * [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)))) 1538416857.674 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1538416857.674 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.674 * * [misc]simplify: iters left: 6 (15 enodes) 1538416857.678 * * [misc]simplify: iters left: 5 (23 enodes) 1538416857.686 * * [misc]simplify: iters left: 4 (32 enodes) 1538416857.693 * * [misc]simplify: iters left: 3 (34 enodes) 1538416857.701 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.701 * [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))))) 1538416857.701 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538416857.701 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.706 * * [misc]simplify: iters left: 5 (20 enodes) 1538416857.711 * * [misc]simplify: iters left: 4 (29 enodes) 1538416857.719 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.726 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1538416857.726 * [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))))) 1538416857.726 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1538416857.726 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.727 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.731 * * [misc]simplify: iters left: 5 (20 enodes) 1538416857.736 * * [misc]simplify: iters left: 4 (29 enodes) 1538416857.744 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.752 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.752 * [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))))) 1538416857.752 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.752 * * [misc]simplify: iters left: 6 (14 enodes) 1538416857.756 * * [misc]simplify: iters left: 5 (20 enodes) 1538416857.762 * * [misc]simplify: iters left: 4 (29 enodes) 1538416857.766 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.770 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416857.770 * [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))))) 1538416857.770 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1538416857.770 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1538416857.771 * * [misc]simplify: iters left: 6 (13 enodes) 1538416857.773 * * [misc]simplify: iters left: 5 (21 enodes) 1538416857.776 * * [misc]simplify: iters left: 4 (32 enodes) 1538416857.780 * * [misc]simplify: iters left: 3 (33 enodes) 1538416857.783 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1538416857.783 * [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)))) 1538416857.784 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1538416857.784 * * [misc]simplify: iters left: 6 (13 enodes) 1538416857.786 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.788 * * [misc]simplify: iters left: 4 (28 enodes) 1538416857.792 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.796 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1538416857.796 * [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)))) 1538416857.796 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1538416857.796 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416857.796 * * [misc]simplify: iters left: 6 (6 enodes) 1538416857.798 * * [misc]simplify: iters left: 5 (10 enodes) 1538416857.799 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416857.799 * [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))))) 1538416857.799 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538416857.799 * * [misc]simplify: iters left: 6 (13 enodes) 1538416857.801 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.804 * * [misc]simplify: iters left: 4 (28 enodes) 1538416857.807 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.811 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1538416857.811 * [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))))) 1538416857.811 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1538416857.811 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1538416857.811 * * [misc]simplify: iters left: 4 (5 enodes) 1538416857.812 * * [misc]simplify: iters left: 3 (7 enodes) 1538416857.813 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538416857.813 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538416857.813 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.813 * * [misc]simplify: iters left: 6 (13 enodes) 1538416857.815 * * [misc]simplify: iters left: 5 (19 enodes) 1538416857.820 * * [misc]simplify: iters left: 4 (28 enodes) 1538416857.828 * * [misc]simplify: iters left: 3 (30 enodes) 1538416857.835 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416857.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1538416857.835 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1538416857.836 * [enter]simplify: Simplifying (/ 1 1) 1538416857.836 * * [misc]simplify: iters left: 2 (2 enodes) 1538416857.836 * * [misc]simplify: iters left: 1 (4 enodes) 1538416857.837 * [exit]simplify: Simplified to 1 1538416857.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1538416857.837 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1538416857.837 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.841 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.846 * * [misc]simplify: iters left: 4 (27 enodes) 1538416857.853 * * [misc]simplify: iters left: 3 (29 enodes) 1538416857.860 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1538416857.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1538416857.860 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1538416857.861 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1538416857.861 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1538416857.861 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1538416857.861 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1538416857.861 * * [misc]simplify: iters left: 2 (3 enodes) 1538416857.862 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1538416857.862 * [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)))) 1538416857.862 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1538416857.862 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538416857.862 * * [misc]simplify: iters left: 2 (3 enodes) 1538416857.863 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538416857.863 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1538416857.863 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1538416857.863 * [enter]simplify: Simplifying (sqrt k) 1538416857.863 * * [misc]simplify: iters left: 1 (2 enodes) 1538416857.864 * [exit]simplify: Simplified to (sqrt k) 1538416857.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1538416857.864 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1538416857.864 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538416857.864 * * [misc]simplify: iters left: 5 (7 enodes) 1538416857.867 * * [misc]simplify: iters left: 4 (12 enodes) 1538416857.870 * * [misc]simplify: iters left: 3 (18 enodes) 1538416857.874 * * [misc]simplify: iters left: 2 (20 enodes) 1538416857.879 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538416857.879 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538416857.879 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1538416857.880 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538416857.880 * * [misc]simplify: iters left: 5 (7 enodes) 1538416857.882 * * [misc]simplify: iters left: 4 (12 enodes) 1538416857.885 * * [misc]simplify: iters left: 3 (18 enodes) 1538416857.890 * * [misc]simplify: iters left: 2 (20 enodes) 1538416857.895 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538416857.895 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1538416857.895 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1538416857.896 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1538416857.896 * * [misc]simplify: iters left: 5 (7 enodes) 1538416857.898 * * [misc]simplify: iters left: 4 (9 enodes) 1538416857.900 * * [misc]simplify: iters left: 3 (12 enodes) 1538416857.904 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1538416857.904 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416857.904 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1538416857.904 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1538416857.904 * * [misc]simplify: iters left: 6 (12 enodes) 1538416857.908 * * [misc]simplify: iters left: 5 (18 enodes) 1538416857.913 * * [misc]simplify: iters left: 4 (27 enodes) 1538416857.921 * * [misc]simplify: iters left: 3 (29 enodes) 1538416857.928 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1538416857.928 * [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))))))) 1538416857.928 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1538416857.929 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1538416857.929 * * [misc]simplify: iters left: 6 (11 enodes) 1538416857.933 * * [misc]simplify: iters left: 5 (17 enodes) 1538416857.937 * * [misc]simplify: iters left: 4 (26 enodes) 1538416857.940 * * [misc]simplify: iters left: 3 (27 enodes) 1538416857.943 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1538416857.943 * [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))))))) 1538416857.943 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1538416857.943 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1538416857.944 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1538416857.944 * * [misc]simplify: iters left: 5 (7 enodes) 1538416857.945 * * [misc]simplify: iters left: 4 (12 enodes) 1538416857.947 * * [misc]simplify: iters left: 3 (18 enodes) 1538416857.949 * * [misc]simplify: iters left: 2 (20 enodes) 1538416857.952 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1538416857.952 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1538416857.952 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1538416857.952 * [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))))) 1538416857.952 * * [misc]simplify: iters left: 6 (37 enodes) 1538416857.960 * * [misc]simplify: iters left: 5 (105 enodes) 1538416857.999 * * [misc]simplify: iters left: 4 (339 enodes) 1538416858.180 * [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))))) 1538416858.180 * [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))) 1538416858.180 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1538416858.181 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1538416858.181 * * [misc]simplify: iters left: 6 (15 enodes) 1538416858.186 * * [misc]simplify: iters left: 5 (33 enodes) 1538416858.196 * * [misc]simplify: iters left: 4 (64 enodes) 1538416858.219 * * [misc]simplify: iters left: 3 (171 enodes) 1538416858.347 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1538416858.347 * [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))) 1538416858.348 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1538416858.348 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1538416858.348 * * [misc]simplify: iters left: 6 (15 enodes) 1538416858.354 * * [misc]simplify: iters left: 5 (30 enodes) 1538416858.365 * * [misc]simplify: iters left: 4 (65 enodes) 1538416858.395 * * [misc]simplify: iters left: 3 (200 enodes) 1538416858.530 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1538416858.530 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1538416858.530 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1538416858.530 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538416858.530 * * [misc]simplify: iters left: 4 (5 enodes) 1538416858.532 * * [misc]simplify: iters left: 3 (9 enodes) 1538416858.535 * * [misc]simplify: iters left: 2 (15 enodes) 1538416858.539 * * [misc]simplify: iters left: 1 (17 enodes) 1538416858.543 * [exit]simplify: Simplified to (* (* PI n) 2) 1538416858.543 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538416858.543 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1538416858.544 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538416858.544 * * [misc]simplify: iters left: 4 (5 enodes) 1538416858.545 * * [misc]simplify: iters left: 3 (9 enodes) 1538416858.548 * * [misc]simplify: iters left: 2 (15 enodes) 1538416858.552 * * [misc]simplify: iters left: 1 (17 enodes) 1538416858.556 * [exit]simplify: Simplified to (* (* PI n) 2) 1538416858.556 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538416858.556 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1538416858.557 * [enter]simplify: Simplifying (* 2 (* n PI)) 1538416858.557 * * [misc]simplify: iters left: 4 (5 enodes) 1538416858.558 * * [misc]simplify: iters left: 3 (9 enodes) 1538416858.561 * * [misc]simplify: iters left: 2 (15 enodes) 1538416858.565 * * [misc]simplify: iters left: 1 (17 enodes) 1538416858.569 * [exit]simplify: Simplified to (* (* PI n) 2) 1538416858.569 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1538416858.569 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1538416858.570 * [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)))))))))))))))))))))) 1538416858.570 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416858.570 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1538416858.570 * [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)))))))) 1538416858.570 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416858.570 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1538416858.571 * [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))))))))))) 1538416858.571 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416858.571 * * * [misc]progress: adding candidates to table 1538416859.926 * * [misc]progress: iteration 2 / 4 1538416859.926 * * * [misc]progress: picking best candidate 1538416860.000 * * * * [misc]pick: Picked # 1538416860.000 * * * [misc]progress: localizing error 1538416860.057 * * * [misc]progress: generating rewritten candidates 1538416860.057 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1538416860.062 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1538416860.085 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1538416860.097 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1538416860.102 * * * [misc]progress: generating series expansions 1538416860.102 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1538416860.102 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1538416860.102 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1538416860.102 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.103 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.103 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.103 * [misc]taylor: Taking taylor expansion of k in k 1538416860.103 * [misc]backup-simplify: Simplify 0 into 0 1538416860.103 * [misc]backup-simplify: Simplify 1 into 1 1538416860.103 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.103 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.103 * [misc]backup-simplify: Simplify PI into PI 1538416860.104 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.104 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.104 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.104 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.105 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.106 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416860.106 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.106 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.106 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.106 * [misc]taylor: Taking taylor expansion of k in k 1538416860.106 * [misc]backup-simplify: Simplify 0 into 0 1538416860.106 * [misc]backup-simplify: Simplify 1 into 1 1538416860.106 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.106 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.106 * [misc]backup-simplify: Simplify PI into PI 1538416860.106 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.107 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.107 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.107 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.107 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.108 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416860.108 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1538416860.111 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416860.111 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416860.111 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.111 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.112 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416860.116 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538416860.117 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1538416860.121 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416860.121 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.121 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.122 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416860.126 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538416860.127 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538416860.129 * [misc]backup-simplify: Simplify (+ (* (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (pow k 2)) (+ (* (* -1/2 (* (log PI) (sqrt PI))) k) (pow PI 1/2))) into (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538416860.129 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.129 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1538416860.129 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of k in k 1538416860.129 * [misc]backup-simplify: Simplify 0 into 0 1538416860.129 * [misc]backup-simplify: Simplify 1 into 1 1538416860.129 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.129 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.129 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.129 * [misc]backup-simplify: Simplify PI into PI 1538416860.129 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.129 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.129 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.130 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.130 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416860.130 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.130 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of k in k 1538416860.130 * [misc]backup-simplify: Simplify 0 into 0 1538416860.130 * [misc]backup-simplify: Simplify 1 into 1 1538416860.130 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.130 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.130 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.130 * [misc]backup-simplify: Simplify PI into PI 1538416860.131 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.131 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.131 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.131 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.135 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416860.135 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.135 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify 0 into 0 1538416860.135 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1538416860.136 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.136 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1538416860.136 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.136 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of k in k 1538416860.136 * [misc]backup-simplify: Simplify 0 into 0 1538416860.136 * [misc]backup-simplify: Simplify 1 into 1 1538416860.136 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.136 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.136 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.136 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.136 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.136 * [misc]backup-simplify: Simplify PI into PI 1538416860.136 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.136 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.136 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.137 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.137 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.137 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.137 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of k in k 1538416860.137 * [misc]backup-simplify: Simplify 0 into 0 1538416860.137 * [misc]backup-simplify: Simplify 1 into 1 1538416860.137 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.137 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.137 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.137 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.137 * [misc]backup-simplify: Simplify PI into PI 1538416860.137 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.138 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.138 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.138 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.138 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.138 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.138 * [misc]backup-simplify: Simplify 0 into 0 1538416860.139 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1538416860.139 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1538416860.139 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538416860.139 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1538416860.139 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.139 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.139 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.139 * [misc]taylor: Taking taylor expansion of k in n 1538416860.139 * [misc]backup-simplify: Simplify k into k 1538416860.139 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.139 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.139 * [misc]backup-simplify: Simplify 2 into 2 1538416860.139 * [misc]taylor: Taking taylor expansion of n in n 1538416860.139 * [misc]backup-simplify: Simplify 0 into 0 1538416860.139 * [misc]backup-simplify: Simplify 1 into 1 1538416860.139 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.139 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.140 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.140 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416860.140 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416860.140 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416860.140 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.140 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416860.140 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416860.140 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.140 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.140 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.140 * [misc]taylor: Taking taylor expansion of k in n 1538416860.140 * [misc]backup-simplify: Simplify k into k 1538416860.140 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.140 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.140 * [misc]backup-simplify: Simplify PI into PI 1538416860.141 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.141 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416860.141 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416860.141 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416860.141 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538416860.141 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538416860.141 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416860.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.141 * [misc]taylor: Taking taylor expansion of k in n 1538416860.141 * [misc]backup-simplify: Simplify k into k 1538416860.141 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.141 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416860.142 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.142 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416860.142 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.142 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.142 * [misc]taylor: Taking taylor expansion of k in k 1538416860.142 * [misc]backup-simplify: Simplify 0 into 0 1538416860.142 * [misc]backup-simplify: Simplify 1 into 1 1538416860.142 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416860.142 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.142 * [misc]backup-simplify: Simplify 2 into 2 1538416860.142 * [misc]taylor: Taking taylor expansion of n in k 1538416860.142 * [misc]backup-simplify: Simplify n into n 1538416860.142 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416860.142 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416860.142 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.142 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.142 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.142 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416860.143 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416860.143 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.143 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.143 * [misc]taylor: Taking taylor expansion of k in k 1538416860.143 * [misc]backup-simplify: Simplify 0 into 0 1538416860.143 * [misc]backup-simplify: Simplify 1 into 1 1538416860.143 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.143 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.143 * [misc]backup-simplify: Simplify PI into PI 1538416860.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.143 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.143 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.143 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.144 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.144 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416860.144 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416860.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.144 * [misc]taylor: Taking taylor expansion of k in k 1538416860.144 * [misc]backup-simplify: Simplify 0 into 0 1538416860.144 * [misc]backup-simplify: Simplify 1 into 1 1538416860.145 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.145 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.145 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.145 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.145 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.145 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.145 * [misc]taylor: Taking taylor expansion of k in k 1538416860.145 * [misc]backup-simplify: Simplify 0 into 0 1538416860.145 * [misc]backup-simplify: Simplify 1 into 1 1538416860.145 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416860.145 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.145 * [misc]backup-simplify: Simplify 2 into 2 1538416860.145 * [misc]taylor: Taking taylor expansion of n in k 1538416860.145 * [misc]backup-simplify: Simplify n into n 1538416860.145 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416860.145 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416860.145 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.145 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.146 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416860.146 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416860.146 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.146 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.146 * [misc]taylor: Taking taylor expansion of k in k 1538416860.146 * [misc]backup-simplify: Simplify 0 into 0 1538416860.146 * [misc]backup-simplify: Simplify 1 into 1 1538416860.146 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.146 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.146 * [misc]backup-simplify: Simplify PI into PI 1538416860.146 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.146 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.146 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.147 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.147 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416860.147 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416860.147 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.147 * [misc]taylor: Taking taylor expansion of k in k 1538416860.147 * [misc]backup-simplify: Simplify 0 into 0 1538416860.147 * [misc]backup-simplify: Simplify 1 into 1 1538416860.147 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.147 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.148 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.148 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538416860.148 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538416860.148 * [misc]taylor: Taking taylor expansion of 0 in n 1538416860.148 * [misc]backup-simplify: Simplify 0 into 0 1538416860.148 * [misc]backup-simplify: Simplify 0 into 0 1538416860.150 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416860.150 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416860.150 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.150 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416860.152 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538416860.153 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416860.153 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416860.153 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416860.153 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.153 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.154 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416860.154 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1538416860.155 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1538416860.155 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1538416860.156 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.156 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.156 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.156 * [misc]backup-simplify: Simplify 2 into 2 1538416860.156 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.156 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.156 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416860.156 * [misc]taylor: Taking taylor expansion of n in n 1538416860.156 * [misc]backup-simplify: Simplify 0 into 0 1538416860.156 * [misc]backup-simplify: Simplify 1 into 1 1538416860.156 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.156 * [misc]backup-simplify: Simplify PI into PI 1538416860.156 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416860.157 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416860.157 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.157 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.157 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416860.157 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.157 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.157 * [misc]backup-simplify: Simplify 0 into 0 1538416860.157 * [misc]backup-simplify: Simplify 0 into 0 1538416860.158 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416860.158 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.161 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416860.161 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.161 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.161 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416860.164 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538416860.165 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538416860.166 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538416860.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.166 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.166 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.166 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538416860.167 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1538416860.169 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1538416860.171 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1538416860.171 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.171 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.171 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.171 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.171 * [misc]backup-simplify: Simplify 2 into 2 1538416860.172 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.172 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.172 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.172 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.172 * [misc]backup-simplify: Simplify PI into PI 1538416860.172 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.172 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.172 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.172 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.172 * [misc]backup-simplify: Simplify PI into PI 1538416860.172 * [misc]taylor: Taking taylor expansion of n in n 1538416860.172 * [misc]backup-simplify: Simplify 0 into 0 1538416860.172 * [misc]backup-simplify: Simplify 1 into 1 1538416860.172 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.173 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.173 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.173 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.173 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.173 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.173 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.173 * [misc]backup-simplify: Simplify 2 into 2 1538416860.173 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.173 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416860.173 * [misc]taylor: Taking taylor expansion of n in n 1538416860.173 * [misc]backup-simplify: Simplify 0 into 0 1538416860.173 * [misc]backup-simplify: Simplify 1 into 1 1538416860.173 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.174 * [misc]backup-simplify: Simplify PI into PI 1538416860.174 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416860.174 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416860.174 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.174 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.174 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538416860.174 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538416860.174 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.175 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.175 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.175 * [misc]backup-simplify: Simplify 2 into 2 1538416860.175 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.175 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.175 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.175 * [misc]backup-simplify: Simplify 2 into 2 1538416860.175 * [misc]taylor: Taking taylor expansion of n in n 1538416860.175 * [misc]backup-simplify: Simplify 0 into 0 1538416860.175 * [misc]backup-simplify: Simplify 1 into 1 1538416860.175 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.175 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.175 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.175 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.175 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.175 * [misc]backup-simplify: Simplify PI into PI 1538416860.175 * [misc]taylor: Taking taylor expansion of n in n 1538416860.175 * [misc]backup-simplify: Simplify 0 into 0 1538416860.175 * [misc]backup-simplify: Simplify 1 into 1 1538416860.176 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.176 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.176 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.176 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.177 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538416860.177 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538416860.177 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.178 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416860.178 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.178 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.178 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538416860.178 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538416860.178 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.179 * [misc]backup-simplify: Simplify 0 into 0 1538416860.180 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.181 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.182 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.182 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.182 * [misc]backup-simplify: Simplify 0 into 0 1538416860.183 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.183 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416860.187 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416860.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416860.188 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.188 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.189 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416860.193 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538416860.193 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538416860.195 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538416860.195 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416860.195 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.195 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538416860.197 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1538416860.200 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1538416860.205 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1538416860.205 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.206 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.206 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.206 * [misc]backup-simplify: Simplify 2 into 2 1538416860.206 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.206 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.206 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.206 * [misc]backup-simplify: Simplify PI into PI 1538416860.206 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.206 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.206 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.206 * [misc]backup-simplify: Simplify PI into PI 1538416860.206 * [misc]taylor: Taking taylor expansion of n in n 1538416860.206 * [misc]backup-simplify: Simplify 0 into 0 1538416860.206 * [misc]backup-simplify: Simplify 1 into 1 1538416860.206 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.207 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.207 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.207 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.207 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1538416860.207 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1538416860.207 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538416860.207 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.207 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.207 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538416860.207 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.208 * [misc]backup-simplify: Simplify 2 into 2 1538416860.208 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.208 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.208 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.208 * [misc]backup-simplify: Simplify PI into PI 1538416860.208 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.208 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.208 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.208 * [misc]backup-simplify: Simplify PI into PI 1538416860.208 * [misc]taylor: Taking taylor expansion of n in n 1538416860.208 * [misc]backup-simplify: Simplify 0 into 0 1538416860.208 * [misc]backup-simplify: Simplify 1 into 1 1538416860.208 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.209 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.209 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.209 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.209 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.209 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.209 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.209 * [misc]backup-simplify: Simplify 2 into 2 1538416860.209 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.210 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.210 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538416860.210 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.210 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.210 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.210 * [misc]backup-simplify: Simplify 2 into 2 1538416860.210 * [misc]taylor: Taking taylor expansion of n in n 1538416860.210 * [misc]backup-simplify: Simplify 0 into 0 1538416860.210 * [misc]backup-simplify: Simplify 1 into 1 1538416860.210 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.210 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.210 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.210 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.210 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.210 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.210 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.210 * [misc]backup-simplify: Simplify PI into PI 1538416860.210 * [misc]taylor: Taking taylor expansion of n in n 1538416860.210 * [misc]backup-simplify: Simplify 0 into 0 1538416860.210 * [misc]backup-simplify: Simplify 1 into 1 1538416860.210 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.211 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.211 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.211 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.211 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.211 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.211 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.211 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.211 * [misc]backup-simplify: Simplify 2 into 2 1538416860.212 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.212 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.212 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.212 * [misc]backup-simplify: Simplify 2 into 2 1538416860.212 * [misc]taylor: Taking taylor expansion of n in n 1538416860.212 * [misc]backup-simplify: Simplify 0 into 0 1538416860.212 * [misc]backup-simplify: Simplify 1 into 1 1538416860.212 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.212 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.212 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.212 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.212 * [misc]backup-simplify: Simplify PI into PI 1538416860.212 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.212 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416860.212 * [misc]taylor: Taking taylor expansion of n in n 1538416860.212 * [misc]backup-simplify: Simplify 0 into 0 1538416860.212 * [misc]backup-simplify: Simplify 1 into 1 1538416860.212 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.212 * [misc]backup-simplify: Simplify PI into PI 1538416860.213 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416860.213 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416860.213 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.213 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.213 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538416860.213 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538416860.213 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416860.213 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.214 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.214 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416860.214 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.214 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.214 * [misc]backup-simplify: Simplify 2 into 2 1538416860.214 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.214 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.214 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416860.214 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416860.214 * [misc]taylor: Taking taylor expansion of n in n 1538416860.214 * [misc]backup-simplify: Simplify 0 into 0 1538416860.214 * [misc]backup-simplify: Simplify 1 into 1 1538416860.214 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.214 * [misc]backup-simplify: Simplify PI into PI 1538416860.214 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416860.214 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416860.215 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.215 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.215 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.215 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.215 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.215 * [misc]backup-simplify: Simplify 2 into 2 1538416860.215 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.215 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.215 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.215 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.215 * [misc]backup-simplify: Simplify 2 into 2 1538416860.215 * [misc]taylor: Taking taylor expansion of n in n 1538416860.215 * [misc]backup-simplify: Simplify 0 into 0 1538416860.215 * [misc]backup-simplify: Simplify 1 into 1 1538416860.215 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.216 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.216 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.216 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416860.216 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416860.216 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.216 * [misc]backup-simplify: Simplify PI into PI 1538416860.216 * [misc]taylor: Taking taylor expansion of n in n 1538416860.216 * [misc]backup-simplify: Simplify 0 into 0 1538416860.216 * [misc]backup-simplify: Simplify 1 into 1 1538416860.216 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416860.216 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416860.216 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.217 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416860.217 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538416860.218 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538416860.218 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.218 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538416860.219 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538416860.220 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538416860.220 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.220 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.220 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.221 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538416860.221 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538416860.221 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538416860.221 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.222 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.222 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538416860.222 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538416860.223 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538416860.223 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.223 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416860.223 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.223 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.224 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538416860.224 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.224 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.225 * [misc]backup-simplify: Simplify 0 into 0 1538416860.227 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416860.227 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538416860.228 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538416860.230 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538416860.231 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.232 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416860.232 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.233 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.234 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.234 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416860.236 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416860.237 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416860.238 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416860.240 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538416860.242 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538416860.246 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416860.249 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416860.253 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416860.254 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538416860.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538416860.256 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416860.257 * [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)))) 1538416860.260 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416860.261 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416860.262 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416860.267 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538416860.268 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 k) 2))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1538416860.268 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1538416860.268 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.268 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.268 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.268 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of k in n 1538416860.268 * [misc]backup-simplify: Simplify k into k 1538416860.268 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.268 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.268 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.268 * [misc]backup-simplify: Simplify PI into PI 1538416860.268 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.268 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.268 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.268 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.269 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416860.269 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.269 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.269 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.269 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of k in n 1538416860.269 * [misc]backup-simplify: Simplify k into k 1538416860.269 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.269 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.269 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.269 * [misc]backup-simplify: Simplify 2 into 2 1538416860.269 * [misc]taylor: Taking taylor expansion of n in n 1538416860.269 * [misc]backup-simplify: Simplify 0 into 0 1538416860.269 * [misc]backup-simplify: Simplify 1 into 1 1538416860.269 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.269 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.269 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.269 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.270 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.270 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.270 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.270 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.270 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416860.270 * [misc]taylor: Taking taylor expansion of k in n 1538416860.270 * [misc]backup-simplify: Simplify k into k 1538416860.270 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416860.270 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416860.270 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.270 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.270 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.271 * [misc]taylor: Taking taylor expansion of k in k 1538416860.271 * [misc]backup-simplify: Simplify 0 into 0 1538416860.271 * [misc]backup-simplify: Simplify 1 into 1 1538416860.271 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.271 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.271 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.271 * [misc]backup-simplify: Simplify PI into PI 1538416860.271 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.271 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.271 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.271 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.271 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416860.272 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.272 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.272 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.272 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.272 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of k in k 1538416860.272 * [misc]backup-simplify: Simplify 0 into 0 1538416860.272 * [misc]backup-simplify: Simplify 1 into 1 1538416860.272 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.272 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416860.272 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.272 * [misc]backup-simplify: Simplify 2 into 2 1538416860.272 * [misc]taylor: Taking taylor expansion of n in k 1538416860.272 * [misc]backup-simplify: Simplify n into n 1538416860.272 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416860.272 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416860.272 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.272 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.272 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.273 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416860.273 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.273 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of k in k 1538416860.273 * [misc]backup-simplify: Simplify 0 into 0 1538416860.273 * [misc]backup-simplify: Simplify 1 into 1 1538416860.273 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.273 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.273 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.273 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.273 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.273 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.273 * [misc]taylor: Taking taylor expansion of k in k 1538416860.273 * [misc]backup-simplify: Simplify 0 into 0 1538416860.273 * [misc]backup-simplify: Simplify 1 into 1 1538416860.273 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.273 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.274 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.274 * [misc]backup-simplify: Simplify PI into PI 1538416860.274 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.274 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.274 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.274 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.274 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416860.275 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.275 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.275 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.275 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of k in k 1538416860.275 * [misc]backup-simplify: Simplify 0 into 0 1538416860.275 * [misc]backup-simplify: Simplify 1 into 1 1538416860.275 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.275 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416860.275 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.275 * [misc]backup-simplify: Simplify 2 into 2 1538416860.275 * [misc]taylor: Taking taylor expansion of n in k 1538416860.275 * [misc]backup-simplify: Simplify n into n 1538416860.275 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416860.275 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416860.275 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.275 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.275 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.275 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416860.276 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.276 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416860.276 * [misc]taylor: Taking taylor expansion of k in k 1538416860.276 * [misc]backup-simplify: Simplify 0 into 0 1538416860.276 * [misc]backup-simplify: Simplify 1 into 1 1538416860.276 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.276 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.276 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416860.276 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538416860.276 * [misc]taylor: Taking taylor expansion of 0 in n 1538416860.276 * [misc]backup-simplify: Simplify 0 into 0 1538416860.276 * [misc]backup-simplify: Simplify 0 into 0 1538416860.277 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416860.277 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.277 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.277 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.277 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of k in n 1538416860.277 * [misc]backup-simplify: Simplify k into k 1538416860.277 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.277 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.277 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.277 * [misc]backup-simplify: Simplify PI into PI 1538416860.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.278 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.278 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.278 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.278 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416860.278 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.278 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.278 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of k in n 1538416860.278 * [misc]backup-simplify: Simplify k into k 1538416860.278 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.278 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.278 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.278 * [misc]backup-simplify: Simplify 2 into 2 1538416860.278 * [misc]taylor: Taking taylor expansion of n in n 1538416860.278 * [misc]backup-simplify: Simplify 0 into 0 1538416860.278 * [misc]backup-simplify: Simplify 1 into 1 1538416860.279 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.279 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.279 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.279 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.279 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.279 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.279 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.279 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.280 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.280 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416860.280 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.281 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.281 * [misc]backup-simplify: Simplify 0 into 0 1538416860.281 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.282 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416860.282 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.282 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.282 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.282 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.282 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.282 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.282 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of k in n 1538416860.282 * [misc]backup-simplify: Simplify k into k 1538416860.282 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.282 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.282 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.282 * [misc]backup-simplify: Simplify PI into PI 1538416860.282 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.283 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.283 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.283 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.283 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416860.283 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.283 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.283 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of k in n 1538416860.283 * [misc]backup-simplify: Simplify k into k 1538416860.283 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.283 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.283 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.283 * [misc]backup-simplify: Simplify 2 into 2 1538416860.283 * [misc]taylor: Taking taylor expansion of n in n 1538416860.283 * [misc]backup-simplify: Simplify 0 into 0 1538416860.283 * [misc]backup-simplify: Simplify 1 into 1 1538416860.284 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.284 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.284 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.284 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.284 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.284 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.284 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.284 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.285 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.285 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416860.285 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.286 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.286 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416860.287 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.287 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.287 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.288 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.288 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.288 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416860.289 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.290 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416860.290 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.290 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.291 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.291 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538416860.292 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.292 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1538416860.293 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538416860.293 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.293 * [misc]backup-simplify: Simplify 0 into 0 1538416860.293 * [misc]backup-simplify: Simplify 0 into 0 1538416860.294 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416860.294 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416860.294 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.294 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.294 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.294 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.294 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.294 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.294 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.295 * [misc]taylor: Taking taylor expansion of k in n 1538416860.295 * [misc]backup-simplify: Simplify k into k 1538416860.295 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.295 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.295 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.295 * [misc]backup-simplify: Simplify PI into PI 1538416860.295 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.295 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.295 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.295 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.295 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416860.295 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.296 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.296 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.296 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.296 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of k in n 1538416860.296 * [misc]backup-simplify: Simplify k into k 1538416860.296 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.296 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.296 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.296 * [misc]backup-simplify: Simplify 2 into 2 1538416860.296 * [misc]taylor: Taking taylor expansion of n in n 1538416860.296 * [misc]backup-simplify: Simplify 0 into 0 1538416860.296 * [misc]backup-simplify: Simplify 1 into 1 1538416860.296 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.296 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.296 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.296 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.296 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.297 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.297 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.297 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.297 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416860.298 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.298 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.299 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538416860.300 * [misc]backup-simplify: Simplify (/ (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538416860.300 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1538416860.300 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.300 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of k in n 1538416860.300 * [misc]backup-simplify: Simplify k into k 1538416860.300 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.300 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.300 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.300 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.300 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.300 * [misc]backup-simplify: Simplify -2 into -2 1538416860.300 * [misc]taylor: Taking taylor expansion of n in n 1538416860.300 * [misc]backup-simplify: Simplify 0 into 0 1538416860.300 * [misc]backup-simplify: Simplify 1 into 1 1538416860.300 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.300 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.300 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.300 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.301 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.301 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.301 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.301 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.301 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of k in n 1538416860.301 * [misc]backup-simplify: Simplify k into k 1538416860.301 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.301 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.301 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.301 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.301 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.301 * [misc]backup-simplify: Simplify PI into PI 1538416860.302 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.302 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.302 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.302 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416860.302 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.302 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416860.302 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416860.302 * [misc]taylor: Taking taylor expansion of -1 in n 1538416860.302 * [misc]backup-simplify: Simplify -1 into -1 1538416860.302 * [misc]taylor: Taking taylor expansion of k in n 1538416860.302 * [misc]backup-simplify: Simplify k into k 1538416860.302 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416860.302 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416860.302 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416860.302 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416860.303 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.303 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538416860.303 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.303 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of k in k 1538416860.303 * [misc]backup-simplify: Simplify 0 into 0 1538416860.303 * [misc]backup-simplify: Simplify 1 into 1 1538416860.303 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.303 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.303 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.303 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416860.303 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.303 * [misc]backup-simplify: Simplify -2 into -2 1538416860.304 * [misc]taylor: Taking taylor expansion of n in k 1538416860.304 * [misc]backup-simplify: Simplify n into n 1538416860.304 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416860.304 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416860.304 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.304 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.304 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416860.304 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.304 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.304 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of k in k 1538416860.304 * [misc]backup-simplify: Simplify 0 into 0 1538416860.304 * [misc]backup-simplify: Simplify 1 into 1 1538416860.304 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.304 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.304 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.304 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.304 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.304 * [misc]backup-simplify: Simplify PI into PI 1538416860.304 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.305 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.305 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.305 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.305 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.305 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416860.305 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416860.305 * [misc]taylor: Taking taylor expansion of -1 in k 1538416860.305 * [misc]backup-simplify: Simplify -1 into -1 1538416860.305 * [misc]taylor: Taking taylor expansion of k in k 1538416860.305 * [misc]backup-simplify: Simplify 0 into 0 1538416860.305 * [misc]backup-simplify: Simplify 1 into 1 1538416860.305 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416860.306 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.306 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416860.306 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.306 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.306 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.306 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.306 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.306 * [misc]taylor: Taking taylor expansion of k in k 1538416860.306 * [misc]backup-simplify: Simplify 0 into 0 1538416860.306 * [misc]backup-simplify: Simplify 1 into 1 1538416860.306 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.306 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.307 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.307 * [misc]backup-simplify: Simplify -2 into -2 1538416860.307 * [misc]taylor: Taking taylor expansion of n in k 1538416860.307 * [misc]backup-simplify: Simplify n into n 1538416860.307 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416860.307 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416860.307 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.307 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.307 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416860.307 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.307 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.307 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of k in k 1538416860.307 * [misc]backup-simplify: Simplify 0 into 0 1538416860.307 * [misc]backup-simplify: Simplify 1 into 1 1538416860.307 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.307 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.307 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.307 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416860.307 * [misc]taylor: Taking taylor expansion of PI in k 1538416860.307 * [misc]backup-simplify: Simplify PI into PI 1538416860.308 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.308 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.308 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.308 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416860.308 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.308 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416860.308 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416860.308 * [misc]taylor: Taking taylor expansion of -1 in k 1538416860.308 * [misc]backup-simplify: Simplify -1 into -1 1538416860.308 * [misc]taylor: Taking taylor expansion of k in k 1538416860.308 * [misc]backup-simplify: Simplify 0 into 0 1538416860.308 * [misc]backup-simplify: Simplify 1 into 1 1538416860.309 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416860.309 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.309 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416860.309 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.309 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.309 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.309 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.309 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.309 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.310 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.310 * [misc]taylor: Taking taylor expansion of k in n 1538416860.310 * [misc]backup-simplify: Simplify k into k 1538416860.310 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.310 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.310 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.310 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.310 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.310 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.310 * [misc]backup-simplify: Simplify -2 into -2 1538416860.310 * [misc]taylor: Taking taylor expansion of n in n 1538416860.310 * [misc]backup-simplify: Simplify 0 into 0 1538416860.310 * [misc]backup-simplify: Simplify 1 into 1 1538416860.310 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.310 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.310 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.310 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.310 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.310 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.311 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.311 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.311 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of k in n 1538416860.311 * [misc]backup-simplify: Simplify k into k 1538416860.311 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.311 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.311 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.311 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.311 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.311 * [misc]backup-simplify: Simplify PI into PI 1538416860.311 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.311 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.311 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.311 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416860.312 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.312 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.312 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.313 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.313 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416860.313 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416860.314 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.314 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.314 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416860.314 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416860.314 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.314 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.314 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.314 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.314 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.315 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of k in n 1538416860.315 * [misc]backup-simplify: Simplify k into k 1538416860.315 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.315 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.315 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.315 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.315 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.315 * [misc]backup-simplify: Simplify -2 into -2 1538416860.315 * [misc]taylor: Taking taylor expansion of n in n 1538416860.315 * [misc]backup-simplify: Simplify 0 into 0 1538416860.315 * [misc]backup-simplify: Simplify 1 into 1 1538416860.315 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.315 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.315 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.315 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.315 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.316 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.316 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.316 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.316 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of k in n 1538416860.316 * [misc]backup-simplify: Simplify k into k 1538416860.316 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.316 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.316 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.316 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.316 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.316 * [misc]backup-simplify: Simplify PI into PI 1538416860.316 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.316 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.316 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.317 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416860.317 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.317 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.317 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.318 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.318 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.319 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416860.320 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.320 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.320 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538416860.321 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.321 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416860.323 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416860.323 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.323 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.323 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416860.324 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.324 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416860.325 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416860.325 * [misc]backup-simplify: Simplify 0 into 0 1538416860.325 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416860.325 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.326 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416860.327 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.327 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.327 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.327 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.327 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of k in n 1538416860.327 * [misc]backup-simplify: Simplify k into k 1538416860.327 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.327 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.327 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.327 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.327 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.327 * [misc]backup-simplify: Simplify -2 into -2 1538416860.327 * [misc]taylor: Taking taylor expansion of n in n 1538416860.327 * [misc]backup-simplify: Simplify 0 into 0 1538416860.327 * [misc]backup-simplify: Simplify 1 into 1 1538416860.327 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.327 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.327 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.328 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.328 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.328 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.328 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.328 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.328 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of k in n 1538416860.328 * [misc]backup-simplify: Simplify k into k 1538416860.328 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.328 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.328 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.328 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416860.328 * [misc]taylor: Taking taylor expansion of PI in n 1538416860.328 * [misc]backup-simplify: Simplify PI into PI 1538416860.329 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416860.329 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.329 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.329 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416860.329 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.329 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.330 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416860.330 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.330 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.332 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538416860.332 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1538416860.333 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1538416860.333 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538416860.333 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.333 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.333 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.333 * [misc]taylor: Taking taylor expansion of k in n 1538416860.333 * [misc]backup-simplify: Simplify k into k 1538416860.333 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.333 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.333 * [misc]backup-simplify: Simplify 2 into 2 1538416860.333 * [misc]taylor: Taking taylor expansion of n in n 1538416860.333 * [misc]backup-simplify: Simplify 0 into 0 1538416860.333 * [misc]backup-simplify: Simplify 1 into 1 1538416860.333 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.333 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.333 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.333 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416860.333 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416860.333 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416860.334 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.334 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416860.334 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416860.334 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1538416860.334 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416860.334 * [misc]taylor: Taking taylor expansion of k in n 1538416860.334 * [misc]backup-simplify: Simplify k into k 1538416860.334 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416860.334 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416860.334 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.334 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.334 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.334 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.334 * [misc]taylor: Taking taylor expansion of k in k 1538416860.335 * [misc]backup-simplify: Simplify 0 into 0 1538416860.335 * [misc]backup-simplify: Simplify 1 into 1 1538416860.335 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416860.335 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416860.335 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.335 * [misc]backup-simplify: Simplify 2 into 2 1538416860.335 * [misc]taylor: Taking taylor expansion of n in k 1538416860.335 * [misc]backup-simplify: Simplify n into n 1538416860.335 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416860.335 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416860.335 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.335 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.335 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.335 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416860.335 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416860.335 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538416860.335 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416860.335 * [misc]taylor: Taking taylor expansion of k in k 1538416860.335 * [misc]backup-simplify: Simplify 0 into 0 1538416860.335 * [misc]backup-simplify: Simplify 1 into 1 1538416860.335 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.336 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.336 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.336 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.336 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.336 * [misc]taylor: Taking taylor expansion of k in k 1538416860.336 * [misc]backup-simplify: Simplify 0 into 0 1538416860.336 * [misc]backup-simplify: Simplify 1 into 1 1538416860.336 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416860.336 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.336 * [misc]backup-simplify: Simplify 2 into 2 1538416860.336 * [misc]taylor: Taking taylor expansion of n in k 1538416860.336 * [misc]backup-simplify: Simplify n into n 1538416860.336 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416860.336 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416860.336 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.336 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.336 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.337 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416860.337 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416860.337 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538416860.337 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416860.337 * [misc]taylor: Taking taylor expansion of k in k 1538416860.337 * [misc]backup-simplify: Simplify 0 into 0 1538416860.337 * [misc]backup-simplify: Simplify 1 into 1 1538416860.337 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.337 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.337 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538416860.337 * [misc]taylor: Taking taylor expansion of 0 in n 1538416860.337 * [misc]backup-simplify: Simplify 0 into 0 1538416860.337 * [misc]backup-simplify: Simplify 0 into 0 1538416860.337 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416860.338 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416860.338 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416860.338 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.338 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.338 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416860.339 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1538416860.339 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1538416860.340 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1538416860.340 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.340 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.340 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of n in n 1538416860.340 * [misc]backup-simplify: Simplify 0 into 0 1538416860.340 * [misc]backup-simplify: Simplify 1 into 1 1538416860.340 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.340 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.340 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416860.340 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.340 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.340 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416860.341 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416860.341 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.341 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538416860.342 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538416860.342 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.342 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.343 * [misc]backup-simplify: Simplify 0 into 0 1538416860.343 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.343 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538416860.344 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538416860.345 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.345 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.345 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.345 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538416860.346 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1538416860.347 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1538416860.349 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1538416860.349 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.349 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.349 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416860.349 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.349 * [misc]backup-simplify: Simplify 2 into 2 1538416860.349 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416860.350 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416860.350 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.350 * [misc]backup-simplify: Simplify 2 into 2 1538416860.350 * [misc]taylor: Taking taylor expansion of n in n 1538416860.350 * [misc]backup-simplify: Simplify 0 into 0 1538416860.350 * [misc]backup-simplify: Simplify 1 into 1 1538416860.350 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.350 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.350 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.350 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.350 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.350 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416860.350 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416860.350 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416860.350 * [misc]taylor: Taking taylor expansion of n in n 1538416860.350 * [misc]backup-simplify: Simplify 0 into 0 1538416860.350 * [misc]backup-simplify: Simplify 1 into 1 1538416860.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.351 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.351 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538416860.351 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538416860.351 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.351 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.351 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538416860.351 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416860.351 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416860.351 * [misc]taylor: Taking taylor expansion of n in n 1538416860.351 * [misc]backup-simplify: Simplify 0 into 0 1538416860.351 * [misc]backup-simplify: Simplify 1 into 1 1538416860.351 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.351 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.352 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.352 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416860.352 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.352 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.352 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416860.352 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416860.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.353 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538416860.354 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538416860.354 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1538416860.355 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.355 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538416860.355 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.358 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.359 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538416860.359 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538416860.361 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538416860.362 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538416860.365 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538416860.366 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.366 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538416860.367 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538416860.368 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.372 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1538416860.375 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538416860.378 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538416860.380 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538416860.380 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416860.381 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.383 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.384 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.385 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.385 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416860.391 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538416860.391 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1538416860.391 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538416860.391 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.392 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.392 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.392 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of k in n 1538416860.392 * [misc]backup-simplify: Simplify k into k 1538416860.392 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.392 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.392 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.392 * [misc]backup-simplify: Simplify 2 into 2 1538416860.392 * [misc]taylor: Taking taylor expansion of n in n 1538416860.392 * [misc]backup-simplify: Simplify 0 into 0 1538416860.392 * [misc]backup-simplify: Simplify 1 into 1 1538416860.392 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.393 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.393 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.393 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.393 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.393 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.394 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.394 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.394 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.394 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416860.394 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.394 * [misc]taylor: Taking taylor expansion of k in n 1538416860.394 * [misc]backup-simplify: Simplify k into k 1538416860.394 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.394 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416860.395 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.395 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416860.395 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.395 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.395 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.395 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of k in k 1538416860.395 * [misc]backup-simplify: Simplify 0 into 0 1538416860.395 * [misc]backup-simplify: Simplify 1 into 1 1538416860.395 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.395 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416860.395 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.396 * [misc]backup-simplify: Simplify 2 into 2 1538416860.396 * [misc]taylor: Taking taylor expansion of n in k 1538416860.396 * [misc]backup-simplify: Simplify n into n 1538416860.396 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416860.396 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416860.396 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.396 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.396 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.396 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416860.396 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.397 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416860.397 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416860.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.397 * [misc]taylor: Taking taylor expansion of k in k 1538416860.397 * [misc]backup-simplify: Simplify 0 into 0 1538416860.397 * [misc]backup-simplify: Simplify 1 into 1 1538416860.397 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.397 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.398 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.398 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of k in k 1538416860.398 * [misc]backup-simplify: Simplify 0 into 0 1538416860.398 * [misc]backup-simplify: Simplify 1 into 1 1538416860.398 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.398 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416860.398 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.399 * [misc]backup-simplify: Simplify 2 into 2 1538416860.399 * [misc]taylor: Taking taylor expansion of n in k 1538416860.399 * [misc]backup-simplify: Simplify n into n 1538416860.399 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416860.399 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416860.399 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.399 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.399 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.399 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416860.399 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.400 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416860.400 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416860.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.400 * [misc]taylor: Taking taylor expansion of k in k 1538416860.400 * [misc]backup-simplify: Simplify 0 into 0 1538416860.400 * [misc]backup-simplify: Simplify 1 into 1 1538416860.400 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.400 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.401 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416860.401 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538416860.401 * [misc]taylor: Taking taylor expansion of 0 in n 1538416860.401 * [misc]backup-simplify: Simplify 0 into 0 1538416860.401 * [misc]backup-simplify: Simplify 0 into 0 1538416860.401 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416860.402 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.402 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.402 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.402 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of k in n 1538416860.402 * [misc]backup-simplify: Simplify k into k 1538416860.402 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.402 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.402 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.402 * [misc]backup-simplify: Simplify 2 into 2 1538416860.402 * [misc]taylor: Taking taylor expansion of n in n 1538416860.402 * [misc]backup-simplify: Simplify 0 into 0 1538416860.402 * [misc]backup-simplify: Simplify 1 into 1 1538416860.403 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.403 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.403 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.403 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.403 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.404 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.404 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.404 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.404 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.405 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.405 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.406 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.406 * [misc]backup-simplify: Simplify 0 into 0 1538416860.406 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416860.407 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416860.408 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.408 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.408 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.408 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.408 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.409 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.409 * [misc]taylor: Taking taylor expansion of k in n 1538416860.409 * [misc]backup-simplify: Simplify k into k 1538416860.409 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.409 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.409 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.409 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.409 * [misc]backup-simplify: Simplify 2 into 2 1538416860.409 * [misc]taylor: Taking taylor expansion of n in n 1538416860.409 * [misc]backup-simplify: Simplify 0 into 0 1538416860.409 * [misc]backup-simplify: Simplify 1 into 1 1538416860.409 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.409 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.409 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.409 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.410 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.410 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.411 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.411 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.411 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.412 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.412 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.413 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.413 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416860.416 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.416 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.416 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.416 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.416 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.417 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.417 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416860.418 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.419 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1538416860.420 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538416860.420 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.420 * [misc]backup-simplify: Simplify 0 into 0 1538416860.420 * [misc]backup-simplify: Simplify 0 into 0 1538416860.420 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.421 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416860.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416860.422 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416860.423 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.423 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.423 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.423 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.423 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.423 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of k in n 1538416860.423 * [misc]backup-simplify: Simplify k into k 1538416860.423 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.423 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.423 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.423 * [misc]backup-simplify: Simplify 2 into 2 1538416860.423 * [misc]taylor: Taking taylor expansion of n in n 1538416860.423 * [misc]backup-simplify: Simplify 0 into 0 1538416860.423 * [misc]backup-simplify: Simplify 1 into 1 1538416860.423 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.424 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.424 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.424 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.424 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.425 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.425 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.425 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.426 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416860.426 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.427 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416860.429 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538416860.429 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.429 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538416860.429 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.429 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416860.429 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416860.429 * [misc]taylor: Taking taylor expansion of -1 in n 1538416860.429 * [misc]backup-simplify: Simplify -1 into -1 1538416860.429 * [misc]taylor: Taking taylor expansion of k in n 1538416860.429 * [misc]backup-simplify: Simplify k into k 1538416860.429 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416860.429 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416860.429 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416860.430 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416860.430 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.430 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of k in n 1538416860.430 * [misc]backup-simplify: Simplify k into k 1538416860.430 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.430 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.430 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.430 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.430 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.430 * [misc]backup-simplify: Simplify -2 into -2 1538416860.430 * [misc]taylor: Taking taylor expansion of n in n 1538416860.430 * [misc]backup-simplify: Simplify 0 into 0 1538416860.430 * [misc]backup-simplify: Simplify 1 into 1 1538416860.430 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.431 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.431 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.431 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.431 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.431 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.432 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.432 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.432 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416860.432 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416860.432 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416860.432 * [misc]taylor: Taking taylor expansion of -1 in k 1538416860.432 * [misc]backup-simplify: Simplify -1 into -1 1538416860.432 * [misc]taylor: Taking taylor expansion of k in k 1538416860.432 * [misc]backup-simplify: Simplify 0 into 0 1538416860.432 * [misc]backup-simplify: Simplify 1 into 1 1538416860.433 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416860.433 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.433 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416860.433 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.433 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416860.433 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of k in k 1538416860.434 * [misc]backup-simplify: Simplify 0 into 0 1538416860.434 * [misc]backup-simplify: Simplify 1 into 1 1538416860.434 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.434 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416860.434 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.434 * [misc]backup-simplify: Simplify -2 into -2 1538416860.434 * [misc]taylor: Taking taylor expansion of n in k 1538416860.434 * [misc]backup-simplify: Simplify n into n 1538416860.434 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416860.434 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416860.434 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.435 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.435 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416860.435 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.435 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.435 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416860.435 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416860.435 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416860.435 * [misc]taylor: Taking taylor expansion of -1 in k 1538416860.435 * [misc]backup-simplify: Simplify -1 into -1 1538416860.435 * [misc]taylor: Taking taylor expansion of k in k 1538416860.435 * [misc]backup-simplify: Simplify 0 into 0 1538416860.435 * [misc]backup-simplify: Simplify 1 into 1 1538416860.435 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416860.436 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416860.436 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416860.436 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.436 * [misc]taylor: Taking taylor expansion of k in k 1538416860.436 * [misc]backup-simplify: Simplify 0 into 0 1538416860.436 * [misc]backup-simplify: Simplify 1 into 1 1538416860.436 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.437 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.437 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416860.437 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416860.437 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.437 * [misc]backup-simplify: Simplify -2 into -2 1538416860.437 * [misc]taylor: Taking taylor expansion of n in k 1538416860.437 * [misc]backup-simplify: Simplify n into n 1538416860.437 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416860.437 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416860.437 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.437 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.437 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416860.437 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.438 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416860.438 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.438 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.438 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.438 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of k in n 1538416860.438 * [misc]backup-simplify: Simplify k into k 1538416860.438 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.438 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.438 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.438 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.438 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.438 * [misc]backup-simplify: Simplify -2 into -2 1538416860.438 * [misc]taylor: Taking taylor expansion of n in n 1538416860.438 * [misc]backup-simplify: Simplify 0 into 0 1538416860.438 * [misc]backup-simplify: Simplify 1 into 1 1538416860.439 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.439 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.439 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.439 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.439 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.440 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.440 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.440 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.441 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.441 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416860.442 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416860.443 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.443 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.443 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.443 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.443 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of k in n 1538416860.443 * [misc]backup-simplify: Simplify k into k 1538416860.443 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.443 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.443 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.444 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.444 * [misc]backup-simplify: Simplify -2 into -2 1538416860.444 * [misc]taylor: Taking taylor expansion of n in n 1538416860.444 * [misc]backup-simplify: Simplify 0 into 0 1538416860.444 * [misc]backup-simplify: Simplify 1 into 1 1538416860.444 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.444 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.444 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.444 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.444 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.445 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.445 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.445 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.446 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.446 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416860.447 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416860.447 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416860.449 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416860.450 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.450 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.450 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.450 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.451 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416860.452 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.453 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1538416860.453 * [misc]backup-simplify: Simplify 0 into 0 1538416860.453 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.454 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416860.455 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416860.455 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416860.455 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416860.455 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416860.455 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416860.455 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.456 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of k in n 1538416860.456 * [misc]backup-simplify: Simplify k into k 1538416860.456 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.456 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.456 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.456 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.456 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.456 * [misc]backup-simplify: Simplify -2 into -2 1538416860.456 * [misc]taylor: Taking taylor expansion of n in n 1538416860.456 * [misc]backup-simplify: Simplify 0 into 0 1538416860.456 * [misc]backup-simplify: Simplify 1 into 1 1538416860.456 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.456 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.457 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.457 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.457 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.457 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.458 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.458 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.458 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416860.459 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416860.459 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416860.461 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538416860.461 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1538416860.461 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538416860.461 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538416860.461 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416860.461 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416860.461 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416860.461 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.461 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.461 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.461 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.461 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.461 * [misc]taylor: Taking taylor expansion of k in k 1538416860.462 * [misc]backup-simplify: Simplify 0 into 0 1538416860.462 * [misc]backup-simplify: Simplify 1 into 1 1538416860.462 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416860.462 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416860.462 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.462 * [misc]backup-simplify: Simplify 2 into 2 1538416860.462 * [misc]taylor: Taking taylor expansion of n in k 1538416860.462 * [misc]backup-simplify: Simplify n into n 1538416860.462 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416860.462 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416860.462 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.462 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.462 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.462 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416860.463 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416860.463 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.463 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.463 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.463 * [misc]taylor: Taking taylor expansion of k in n 1538416860.463 * [misc]backup-simplify: Simplify k into k 1538416860.463 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.463 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.463 * [misc]backup-simplify: Simplify 2 into 2 1538416860.463 * [misc]taylor: Taking taylor expansion of n in n 1538416860.463 * [misc]backup-simplify: Simplify 0 into 0 1538416860.463 * [misc]backup-simplify: Simplify 1 into 1 1538416860.463 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.463 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.464 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.464 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416860.464 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416860.464 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416860.464 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.465 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416860.465 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416860.465 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.465 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.465 * [misc]taylor: Taking taylor expansion of k in n 1538416860.465 * [misc]backup-simplify: Simplify k into k 1538416860.465 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416860.465 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.465 * [misc]backup-simplify: Simplify 2 into 2 1538416860.465 * [misc]taylor: Taking taylor expansion of n in n 1538416860.465 * [misc]backup-simplify: Simplify 0 into 0 1538416860.465 * [misc]backup-simplify: Simplify 1 into 1 1538416860.466 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416860.466 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416860.466 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.466 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416860.466 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416860.466 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416860.467 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.467 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416860.467 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416860.467 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538416860.467 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538416860.467 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416860.467 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416860.467 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.467 * [misc]backup-simplify: Simplify 2 into 2 1538416860.467 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.467 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416860.467 * [misc]taylor: Taking taylor expansion of n in k 1538416860.467 * [misc]backup-simplify: Simplify n into n 1538416860.468 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416860.468 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416860.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.468 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416860.468 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.468 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.468 * [misc]taylor: Taking taylor expansion of k in k 1538416860.468 * [misc]backup-simplify: Simplify 0 into 0 1538416860.468 * [misc]backup-simplify: Simplify 1 into 1 1538416860.468 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416860.468 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416860.468 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.468 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.468 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538416860.468 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538416860.469 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538416860.469 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.470 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538416860.470 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.471 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.471 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.471 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416860.472 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.472 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.472 * [misc]backup-simplify: Simplify 0 into 0 1538416860.472 * [misc]backup-simplify: Simplify 0 into 0 1538416860.472 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416860.472 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.472 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.474 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.474 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416860.474 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.475 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416860.475 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538416860.476 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538416860.476 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416860.479 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416860.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538416860.480 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.480 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.480 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416860.480 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538416860.481 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416860.481 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.482 * [misc]backup-simplify: Simplify 0 into 0 1538416860.482 * [misc]backup-simplify: Simplify 0 into 0 1538416860.482 * [misc]backup-simplify: Simplify 0 into 0 1538416860.482 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416860.482 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.482 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.484 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416860.485 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538416860.485 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.486 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538416860.487 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538416860.488 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538416860.489 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1538416860.489 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.489 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538416860.490 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of k in k 1538416860.490 * [misc]backup-simplify: Simplify 0 into 0 1538416860.490 * [misc]backup-simplify: Simplify 1 into 1 1538416860.490 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.490 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416860.490 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.490 * [misc]backup-simplify: Simplify 2 into 2 1538416860.490 * [misc]taylor: Taking taylor expansion of n in k 1538416860.490 * [misc]backup-simplify: Simplify n into n 1538416860.490 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416860.490 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416860.490 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.490 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.490 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.490 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416860.490 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416860.491 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.491 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.491 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.491 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of k in n 1538416860.491 * [misc]backup-simplify: Simplify k into k 1538416860.491 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.491 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.491 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.491 * [misc]backup-simplify: Simplify 2 into 2 1538416860.491 * [misc]taylor: Taking taylor expansion of n in n 1538416860.491 * [misc]backup-simplify: Simplify 0 into 0 1538416860.491 * [misc]backup-simplify: Simplify 1 into 1 1538416860.491 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.491 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.491 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.491 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.491 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.491 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.492 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.492 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.492 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.492 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.492 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.492 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of k in n 1538416860.492 * [misc]backup-simplify: Simplify k into k 1538416860.492 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.492 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416860.492 * [misc]taylor: Taking taylor expansion of 2 in n 1538416860.492 * [misc]backup-simplify: Simplify 2 into 2 1538416860.492 * [misc]taylor: Taking taylor expansion of n in n 1538416860.492 * [misc]backup-simplify: Simplify 0 into 0 1538416860.492 * [misc]backup-simplify: Simplify 1 into 1 1538416860.492 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416860.492 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.492 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.492 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416860.493 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416860.493 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.493 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416860.493 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.493 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538416860.493 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538416860.493 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416860.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.493 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.493 * [misc]taylor: Taking taylor expansion of k in k 1538416860.493 * [misc]backup-simplify: Simplify 0 into 0 1538416860.493 * [misc]backup-simplify: Simplify 1 into 1 1538416860.494 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.494 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538416860.494 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416860.494 * [misc]taylor: Taking taylor expansion of 2 in k 1538416860.494 * [misc]backup-simplify: Simplify 2 into 2 1538416860.494 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416860.494 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416860.494 * [misc]taylor: Taking taylor expansion of n in k 1538416860.494 * [misc]backup-simplify: Simplify n into n 1538416860.494 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416860.494 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.494 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416860.494 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416860.494 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416860.494 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538416860.494 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538416860.495 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.495 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416860.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416860.497 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416860.498 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.498 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.498 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.498 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.499 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416860.500 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.500 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.500 * [misc]backup-simplify: Simplify 0 into 0 1538416860.500 * [misc]backup-simplify: Simplify 0 into 0 1538416860.500 * [misc]backup-simplify: Simplify 0 into 0 1538416860.501 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.505 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416860.505 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416860.506 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416860.506 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.506 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.506 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.507 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538416860.509 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416860.509 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.509 * [misc]backup-simplify: Simplify 0 into 0 1538416860.509 * [misc]backup-simplify: Simplify 0 into 0 1538416860.509 * [misc]backup-simplify: Simplify 0 into 0 1538416860.509 * [misc]backup-simplify: Simplify 0 into 0 1538416860.510 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.516 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538416860.517 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416860.517 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416860.517 * [misc]backup-simplify: Simplify (- 0) into 0 1538416860.518 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.518 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416860.518 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538416860.522 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416860.522 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.522 * [misc]backup-simplify: Simplify 0 into 0 1538416860.522 * [misc]backup-simplify: Simplify 0 into 0 1538416860.522 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538416860.523 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.523 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538416860.523 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.523 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of k in k 1538416860.523 * [misc]backup-simplify: Simplify 0 into 0 1538416860.523 * [misc]backup-simplify: Simplify 1 into 1 1538416860.523 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.523 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.523 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.523 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416860.523 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.523 * [misc]backup-simplify: Simplify -2 into -2 1538416860.523 * [misc]taylor: Taking taylor expansion of n in k 1538416860.523 * [misc]backup-simplify: Simplify n into n 1538416860.523 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416860.524 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416860.524 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.524 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.524 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416860.524 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416860.524 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.524 * [misc]taylor: Taking taylor expansion of k in n 1538416860.524 * [misc]backup-simplify: Simplify k into k 1538416860.525 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.525 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.525 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.525 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.525 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.525 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.525 * [misc]backup-simplify: Simplify -2 into -2 1538416860.525 * [misc]taylor: Taking taylor expansion of n in n 1538416860.525 * [misc]backup-simplify: Simplify 0 into 0 1538416860.525 * [misc]backup-simplify: Simplify 1 into 1 1538416860.525 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.525 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.525 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.526 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.526 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.526 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.526 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416860.526 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416860.526 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416860.526 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416860.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416860.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.527 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416860.527 * [misc]taylor: Taking taylor expansion of k in n 1538416860.527 * [misc]backup-simplify: Simplify k into k 1538416860.527 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416860.527 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416860.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.527 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416860.527 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416860.527 * [misc]taylor: Taking taylor expansion of -2 in n 1538416860.527 * [misc]backup-simplify: Simplify -2 into -2 1538416860.527 * [misc]taylor: Taking taylor expansion of n in n 1538416860.527 * [misc]backup-simplify: Simplify 0 into 0 1538416860.527 * [misc]backup-simplify: Simplify 1 into 1 1538416860.527 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416860.527 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.527 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416860.527 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416860.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.528 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416860.528 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.528 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of k in k 1538416860.529 * [misc]backup-simplify: Simplify 0 into 0 1538416860.529 * [misc]backup-simplify: Simplify 1 into 1 1538416860.529 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416860.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416860.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416860.529 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of -2 in k 1538416860.529 * [misc]backup-simplify: Simplify -2 into -2 1538416860.529 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416860.529 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416860.529 * [misc]taylor: Taking taylor expansion of n in k 1538416860.529 * [misc]backup-simplify: Simplify n into n 1538416860.529 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416860.530 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416860.530 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416860.530 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416860.530 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538416860.530 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538416860.531 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.531 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416860.531 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416860.534 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416860.534 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416860.534 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416860.534 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.535 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.535 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416860.537 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416860.537 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.537 * [misc]backup-simplify: Simplify 0 into 0 1538416860.537 * [misc]backup-simplify: Simplify 0 into 0 1538416860.537 * [misc]backup-simplify: Simplify 0 into 0 1538416860.537 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.541 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538416860.542 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416860.542 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416860.542 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.543 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.543 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538416860.545 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416860.545 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.546 * [misc]backup-simplify: Simplify 0 into 0 1538416860.546 * [misc]backup-simplify: Simplify 0 into 0 1538416860.546 * [misc]backup-simplify: Simplify 0 into 0 1538416860.546 * [misc]backup-simplify: Simplify 0 into 0 1538416860.546 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416860.553 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1538416860.554 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416860.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416860.554 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416860.555 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416860.555 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538416860.559 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416860.559 * [misc]taylor: Taking taylor expansion of 0 in k 1538416860.559 * [misc]backup-simplify: Simplify 0 into 0 1538416860.559 * [misc]backup-simplify: Simplify 0 into 0 1538416860.559 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538416860.560 * * * [misc]progress: simplifying candidates 1538416860.560 * * * * [misc]progress: [ 1 / 250 ] simplifiying candidate # 1538416860.560 * * * * [misc]progress: [ 2 / 250 ] simplifiying candidate # 1538416860.560 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1538416860.560 * * [misc]simplify: iters left: 3 (5 enodes) 1538416860.562 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1538416860.562 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow PI 1/2) (pow PI (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.562 * * * * [misc]progress: [ 3 / 250 ] simplifiying candidate # 1538416860.562 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416860.562 * * [misc]simplify: iters left: 5 (6 enodes) 1538416860.564 * * [misc]simplify: iters left: 4 (8 enodes) 1538416860.566 * * [misc]simplify: iters left: 3 (11 enodes) 1538416860.569 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416860.569 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.569 * * * * [misc]progress: [ 4 / 250 ] simplifiying candidate # 1538416860.569 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416860.569 * * [misc]simplify: iters left: 5 (6 enodes) 1538416860.571 * * [misc]simplify: iters left: 4 (8 enodes) 1538416860.573 * * [misc]simplify: iters left: 3 (11 enodes) 1538416860.576 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416860.576 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.576 * * * * [misc]progress: [ 5 / 250 ] simplifiying candidate # 1538416860.577 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416860.577 * * [misc]simplify: iters left: 4 (5 enodes) 1538416860.578 * * [misc]simplify: iters left: 3 (7 enodes) 1538416860.580 * * [misc]simplify: iters left: 2 (10 enodes) 1538416860.583 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416860.583 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow PI 1) (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.583 * * * * [misc]progress: [ 6 / 250 ] simplifiying candidate # 1538416860.583 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538416860.583 * * [misc]simplify: iters left: 5 (6 enodes) 1538416860.585 * * [misc]simplify: iters left: 4 (8 enodes) 1538416860.587 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538416860.587 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.587 * * * * [misc]progress: [ 7 / 250 ] simplifiying candidate # 1538416860.588 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1538416860.588 * * [misc]simplify: iters left: 5 (6 enodes) 1538416860.590 * * [misc]simplify: iters left: 4 (8 enodes) 1538416860.592 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1538416860.592 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow PI 1/2) (pow PI (/ (- k) 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.592 * * * * [misc]progress: [ 8 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 9 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 10 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 11 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 12 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 13 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 14 / 250 ] simplifiying candidate # 1538416860.592 * * * * [misc]progress: [ 15 / 250 ] simplifiying candidate # 1538416860.593 * * * * [misc]progress: [ 16 / 250 ] simplifiying candidate # 1538416860.593 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416860.593 * * [misc]simplify: iters left: 6 (16 enodes) 1538416860.599 * * [misc]simplify: iters left: 5 (30 enodes) 1538416860.610 * * [misc]simplify: iters left: 4 (66 enodes) 1538416860.641 * * [misc]simplify: iters left: 3 (209 enodes) 1538416860.732 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538416860.732 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538416860.733 * * * * [misc]progress: [ 17 / 250 ] simplifiying candidate # 1538416860.733 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416860.733 * * [misc]simplify: iters left: 6 (16 enodes) 1538416860.739 * * [misc]simplify: iters left: 5 (30 enodes) 1538416860.749 * * [misc]simplify: iters left: 4 (66 enodes) 1538416860.778 * * [misc]simplify: iters left: 3 (209 enodes) 1538416860.912 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538416860.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538416860.912 * * * * [misc]progress: [ 18 / 250 ] simplifiying candidate # 1538416860.913 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416860.913 * * [misc]simplify: iters left: 6 (16 enodes) 1538416860.915 * * [misc]simplify: iters left: 5 (28 enodes) 1538416860.920 * * [misc]simplify: iters left: 4 (54 enodes) 1538416860.931 * * [misc]simplify: iters left: 3 (132 enodes) 1538416860.996 * * [misc]simplify: iters left: 2 (467 enodes) 1538416861.318 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416861.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538416861.318 * * * * [misc]progress: [ 19 / 250 ] simplifiying candidate # 1538416861.318 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416861.318 * * [misc]simplify: iters left: 6 (15 enodes) 1538416861.323 * * [misc]simplify: iters left: 5 (24 enodes) 1538416861.326 * * [misc]simplify: iters left: 4 (40 enodes) 1538416861.334 * * [misc]simplify: iters left: 3 (81 enodes) 1538416861.348 * * [misc]simplify: iters left: 2 (186 enodes) 1538416861.432 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1538416861.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1538416861.432 * * * * [misc]progress: [ 20 / 250 ] simplifiying candidate # 1538416861.432 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416861.432 * * [misc]simplify: iters left: 6 (16 enodes) 1538416861.435 * * [misc]simplify: iters left: 5 (31 enodes) 1538416861.440 * * [misc]simplify: iters left: 4 (62 enodes) 1538416861.466 * * [misc]simplify: iters left: 3 (183 enodes) 1538416861.588 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1538416861.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1538416861.588 * * * * [misc]progress: [ 21 / 250 ] simplifiying candidate # 1538416861.588 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416861.588 * * [misc]simplify: iters left: 6 (16 enodes) 1538416861.591 * * [misc]simplify: iters left: 5 (31 enodes) 1538416861.596 * * [misc]simplify: iters left: 4 (62 enodes) 1538416861.610 * * [misc]simplify: iters left: 3 (183 enodes) 1538416861.696 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))) 1538416861.696 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))) (log (sqrt k))))) 1538416861.696 * * * * [misc]progress: [ 22 / 250 ] simplifiying candidate # 1538416861.696 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416861.697 * * [misc]simplify: iters left: 6 (16 enodes) 1538416861.699 * * [misc]simplify: iters left: 5 (29 enodes) 1538416861.708 * * [misc]simplify: iters left: 4 (50 enodes) 1538416861.722 * * [misc]simplify: iters left: 3 (106 enodes) 1538416861.760 * * [misc]simplify: iters left: 2 (416 enodes) 1538416862.065 * [exit]simplify: Simplified to (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416862.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log (* n 2)) (log PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538416862.065 * * * * [misc]progress: [ 23 / 250 ] simplifiying candidate # 1538416862.065 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416862.065 * * [misc]simplify: iters left: 6 (15 enodes) 1538416862.075 * * [misc]simplify: iters left: 5 (25 enodes) 1538416862.082 * * [misc]simplify: iters left: 4 (36 enodes) 1538416862.093 * * [misc]simplify: iters left: 3 (59 enodes) 1538416862.110 * * [misc]simplify: iters left: 2 (151 enodes) 1538416862.150 * * [misc]simplify: iters left: 1 (498 enodes) 1538416862.492 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))) 1538416862.492 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log PI) (log (* 2 n)))) (log (sqrt k))))) 1538416862.492 * * * * [misc]progress: [ 24 / 250 ] simplifiying candidate # 1538416862.492 * * * * [misc]progress: [ 25 / 250 ] simplifiying candidate # 1538416862.492 * * * * [misc]progress: [ 26 / 250 ] simplifiying candidate # 1538416862.492 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416862.493 * * [misc]simplify: iters left: 6 (19 enodes) 1538416862.499 * * [misc]simplify: iters left: 5 (36 enodes) 1538416862.508 * * [misc]simplify: iters left: 4 (112 enodes) 1538416862.540 * * [misc]simplify: iters left: 3 (434 enodes) 1538416862.899 * [exit]simplify: Simplified to (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1538416862.899 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (/ k (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))))) 1538416862.899 * * * * [misc]progress: [ 27 / 250 ] simplifiying candidate # 1538416862.899 * [enter]simplify: Simplifying (/ (* (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416862.900 * * [misc]simplify: iters left: 6 (17 enodes) 1538416862.905 * * [misc]simplify: iters left: 5 (35 enodes) 1538416862.918 * * [misc]simplify: iters left: 4 (92 enodes) 1538416862.956 * * [misc]simplify: iters left: 3 (254 enodes) 1538416863.172 * [exit]simplify: Simplified to (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt k))) (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (/ k (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.172 * * * * [misc]progress: [ 28 / 250 ] simplifiying candidate # 1538416863.172 * * * * [misc]progress: [ 29 / 250 ] simplifiying candidate # 1538416863.173 * * * * [misc]progress: [ 30 / 250 ] simplifiying candidate # 1538416863.173 * * * * [misc]progress: [ 31 / 250 ] simplifiying candidate # 1538416863.173 * * * * [misc]progress: [ 32 / 250 ] simplifiying candidate # 1538416863.173 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416863.173 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.178 * * [misc]simplify: iters left: 5 (21 enodes) 1538416863.183 * * [misc]simplify: iters left: 4 (24 enodes) 1538416863.190 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.190 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.190 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.190 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.197 * * [misc]simplify: iters left: 5 (19 enodes) 1538416863.202 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.208 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.208 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.208 * * * * [misc]progress: [ 33 / 250 ] simplifiying candidate # 1538416863.209 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.209 * * [misc]simplify: iters left: 6 (14 enodes) 1538416863.213 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.218 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.224 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.225 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.225 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.230 * * [misc]simplify: iters left: 5 (19 enodes) 1538416863.235 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.241 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.241 * * * * [misc]progress: [ 34 / 250 ] simplifiying candidate # 1538416863.241 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416863.241 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.245 * * [misc]simplify: iters left: 5 (20 enodes) 1538416863.250 * * [misc]simplify: iters left: 4 (27 enodes) 1538416863.258 * * [misc]simplify: iters left: 3 (39 enodes) 1538416863.268 * * [misc]simplify: iters left: 2 (44 enodes) 1538416863.279 * * [misc]simplify: iters left: 1 (51 enodes) 1538416863.291 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538416863.291 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416863.292 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416863.292 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.294 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.296 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.299 * * [misc]simplify: iters left: 3 (23 enodes) 1538416863.302 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416863.302 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416863.302 * * * * [misc]progress: [ 35 / 250 ] simplifiying candidate # 1538416863.302 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416863.302 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.304 * * [misc]simplify: iters left: 5 (20 enodes) 1538416863.307 * * [misc]simplify: iters left: 4 (27 enodes) 1538416863.311 * * [misc]simplify: iters left: 3 (39 enodes) 1538416863.316 * * [misc]simplify: iters left: 2 (44 enodes) 1538416863.322 * * [misc]simplify: iters left: 1 (51 enodes) 1538416863.333 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538416863.333 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416863.333 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416863.333 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.337 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.341 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.346 * * [misc]simplify: iters left: 3 (23 enodes) 1538416863.351 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416863.351 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416863.351 * * * * [misc]progress: [ 36 / 250 ] simplifiying candidate # 1538416863.352 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416863.352 * * [misc]simplify: iters left: 6 (14 enodes) 1538416863.355 * * [misc]simplify: iters left: 5 (21 enodes) 1538416863.361 * * [misc]simplify: iters left: 4 (31 enodes) 1538416863.368 * * [misc]simplify: iters left: 3 (43 enodes) 1538416863.379 * * [misc]simplify: iters left: 2 (48 enodes) 1538416863.389 * * [misc]simplify: iters left: 1 (55 enodes) 1538416863.401 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538416863.401 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416863.401 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416863.402 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.405 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.409 * * [misc]simplify: iters left: 4 (22 enodes) 1538416863.414 * * [misc]simplify: iters left: 3 (24 enodes) 1538416863.419 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416863.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416863.420 * * * * [misc]progress: [ 37 / 250 ] simplifiying candidate # 1538416863.420 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416863.420 * * [misc]simplify: iters left: 6 (17 enodes) 1538416863.423 * * [misc]simplify: iters left: 5 (29 enodes) 1538416863.427 * * [misc]simplify: iters left: 4 (50 enodes) 1538416863.436 * * [misc]simplify: iters left: 3 (73 enodes) 1538416863.448 * * [misc]simplify: iters left: 2 (103 enodes) 1538416863.473 * * [misc]simplify: iters left: 1 (127 enodes) 1538416863.494 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416863.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.494 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.494 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.497 * * [misc]simplify: iters left: 5 (22 enodes) 1538416863.500 * * [misc]simplify: iters left: 4 (26 enodes) 1538416863.503 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.510 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416863.510 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416863.510 * * * * [misc]progress: [ 38 / 250 ] simplifiying candidate # 1538416863.511 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.511 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.516 * * [misc]simplify: iters left: 5 (24 enodes) 1538416863.521 * * [misc]simplify: iters left: 4 (34 enodes) 1538416863.526 * * [misc]simplify: iters left: 3 (46 enodes) 1538416863.533 * * [misc]simplify: iters left: 2 (51 enodes) 1538416863.540 * * [misc]simplify: iters left: 1 (58 enodes) 1538416863.547 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538416863.547 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.547 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.548 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.552 * * [misc]simplify: iters left: 5 (22 enodes) 1538416863.558 * * [misc]simplify: iters left: 4 (26 enodes) 1538416863.565 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.572 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416863.572 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416863.572 * * * * [misc]progress: [ 39 / 250 ] simplifiying candidate # 1538416863.573 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416863.573 * * [misc]simplify: iters left: 6 (10 enodes) 1538416863.576 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.582 * * [misc]simplify: iters left: 4 (28 enodes) 1538416863.588 * * [misc]simplify: iters left: 3 (33 enodes) 1538416863.593 * * [misc]simplify: iters left: 2 (50 enodes) 1538416863.601 * * [misc]simplify: iters left: 1 (65 enodes) 1538416863.609 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416863.609 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416863.610 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416863.610 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.612 * * [misc]simplify: iters left: 5 (21 enodes) 1538416863.615 * * [misc]simplify: iters left: 4 (25 enodes) 1538416863.618 * * [misc]simplify: iters left: 3 (27 enodes) 1538416863.626 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538416863.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1538416863.626 * * * * [misc]progress: [ 40 / 250 ] simplifiying candidate # 1538416863.626 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416863.626 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.630 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.634 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.639 * * [misc]simplify: iters left: 3 (22 enodes) 1538416863.644 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538416863.644 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416863.644 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416863.644 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.648 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.653 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.659 * * [misc]simplify: iters left: 3 (23 enodes) 1538416863.665 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416863.665 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416863.665 * * * * [misc]progress: [ 41 / 250 ] simplifiying candidate # 1538416863.665 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416863.665 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.669 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.673 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.678 * * [misc]simplify: iters left: 3 (22 enodes) 1538416863.684 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538416863.684 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416863.684 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416863.684 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.688 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.693 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.698 * * [misc]simplify: iters left: 3 (23 enodes) 1538416863.704 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416863.705 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416863.705 * * * * [misc]progress: [ 42 / 250 ] simplifiying candidate # 1538416863.705 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416863.705 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.709 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.714 * * [misc]simplify: iters left: 4 (24 enodes) 1538416863.720 * * [misc]simplify: iters left: 3 (26 enodes) 1538416863.727 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416863.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416863.727 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416863.727 * * [misc]simplify: iters left: 6 (13 enodes) 1538416863.731 * * [misc]simplify: iters left: 5 (18 enodes) 1538416863.736 * * [misc]simplify: iters left: 4 (22 enodes) 1538416863.739 * * [misc]simplify: iters left: 3 (24 enodes) 1538416863.742 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416863.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416863.742 * * * * [misc]progress: [ 43 / 250 ] simplifiying candidate # 1538416863.742 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416863.742 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.745 * * [misc]simplify: iters left: 5 (24 enodes) 1538416863.748 * * [misc]simplify: iters left: 4 (32 enodes) 1538416863.752 * * [misc]simplify: iters left: 3 (41 enodes) 1538416863.759 * * [misc]simplify: iters left: 2 (49 enodes) 1538416863.766 * * [misc]simplify: iters left: 1 (51 enodes) 1538416863.779 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416863.779 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.780 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.780 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.784 * * [misc]simplify: iters left: 5 (22 enodes) 1538416863.790 * * [misc]simplify: iters left: 4 (26 enodes) 1538416863.797 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.804 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416863.804 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416863.804 * * * * [misc]progress: [ 44 / 250 ] simplifiying candidate # 1538416863.804 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.804 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.806 * * [misc]simplify: iters left: 5 (21 enodes) 1538416863.809 * * [misc]simplify: iters left: 4 (27 enodes) 1538416863.813 * * [misc]simplify: iters left: 3 (29 enodes) 1538416863.816 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416863.816 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416863.816 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416863.816 * * [misc]simplify: iters left: 6 (16 enodes) 1538416863.819 * * [misc]simplify: iters left: 5 (22 enodes) 1538416863.821 * * [misc]simplify: iters left: 4 (26 enodes) 1538416863.825 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.829 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416863.829 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416863.829 * * * * [misc]progress: [ 45 / 250 ] simplifiying candidate # 1538416863.829 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538416863.829 * * [misc]simplify: iters left: 6 (9 enodes) 1538416863.830 * * [misc]simplify: iters left: 5 (14 enodes) 1538416863.832 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.835 * * [misc]simplify: iters left: 3 (23 enodes) 1538416863.838 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416863.838 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416863.838 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416863.838 * * [misc]simplify: iters left: 6 (15 enodes) 1538416863.843 * * [misc]simplify: iters left: 5 (21 enodes) 1538416863.848 * * [misc]simplify: iters left: 4 (25 enodes) 1538416863.855 * * [misc]simplify: iters left: 3 (27 enodes) 1538416863.861 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538416863.861 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1538416863.861 * * * * [misc]progress: [ 46 / 250 ] simplifiying candidate # 1538416863.861 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538416863.861 * * [misc]simplify: iters left: 6 (10 enodes) 1538416863.863 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.865 * * [misc]simplify: iters left: 4 (19 enodes) 1538416863.868 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.871 * * [misc]simplify: iters left: 2 (31 enodes) 1538416863.874 * * [misc]simplify: iters left: 1 (33 enodes) 1538416863.878 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538416863.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416863.878 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416863.879 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.880 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.883 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.885 * * [misc]simplify: iters left: 3 (22 enodes) 1538416863.889 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416863.889 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416863.889 * * * * [misc]progress: [ 47 / 250 ] simplifiying candidate # 1538416863.890 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538416863.890 * * [misc]simplify: iters left: 6 (10 enodes) 1538416863.893 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.897 * * [misc]simplify: iters left: 4 (19 enodes) 1538416863.902 * * [misc]simplify: iters left: 3 (28 enodes) 1538416863.909 * * [misc]simplify: iters left: 2 (31 enodes) 1538416863.916 * * [misc]simplify: iters left: 1 (33 enodes) 1538416863.923 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538416863.923 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416863.923 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416863.923 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.927 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.932 * * [misc]simplify: iters left: 4 (20 enodes) 1538416863.937 * * [misc]simplify: iters left: 3 (22 enodes) 1538416863.943 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416863.943 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416863.943 * * * * [misc]progress: [ 48 / 250 ] simplifiying candidate # 1538416863.943 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416863.943 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.947 * * [misc]simplify: iters left: 5 (19 enodes) 1538416863.952 * * [misc]simplify: iters left: 4 (24 enodes) 1538416863.959 * * [misc]simplify: iters left: 3 (33 enodes) 1538416863.967 * * [misc]simplify: iters left: 2 (36 enodes) 1538416863.975 * * [misc]simplify: iters left: 1 (39 enodes) 1538416863.985 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538416863.985 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416863.985 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416863.985 * * [misc]simplify: iters left: 6 (12 enodes) 1538416863.989 * * [misc]simplify: iters left: 5 (17 enodes) 1538416863.994 * * [misc]simplify: iters left: 4 (21 enodes) 1538416863.999 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.006 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416864.006 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416864.006 * * * * [misc]progress: [ 49 / 250 ] simplifiying candidate # 1538416864.006 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.006 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.011 * * [misc]simplify: iters left: 5 (25 enodes) 1538416864.017 * * [misc]simplify: iters left: 4 (32 enodes) 1538416864.027 * * [misc]simplify: iters left: 3 (47 enodes) 1538416864.040 * * [misc]simplify: iters left: 2 (62 enodes) 1538416864.057 * * [misc]simplify: iters left: 1 (76 enodes) 1538416864.080 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538416864.080 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.081 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.081 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.085 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.091 * * [misc]simplify: iters left: 4 (25 enodes) 1538416864.098 * * [misc]simplify: iters left: 3 (27 enodes) 1538416864.104 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538416864.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538416864.105 * * * * [misc]progress: [ 50 / 250 ] simplifiying candidate # 1538416864.105 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.105 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.109 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.115 * * [misc]simplify: iters left: 4 (27 enodes) 1538416864.123 * * [misc]simplify: iters left: 3 (36 enodes) 1538416864.133 * * [misc]simplify: iters left: 2 (39 enodes) 1538416864.141 * * [misc]simplify: iters left: 1 (42 enodes) 1538416864.151 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538416864.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.151 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.152 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.156 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.162 * * [misc]simplify: iters left: 4 (25 enodes) 1538416864.168 * * [misc]simplify: iters left: 3 (27 enodes) 1538416864.175 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538416864.175 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538416864.175 * * * * [misc]progress: [ 51 / 250 ] simplifiying candidate # 1538416864.175 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538416864.175 * * [misc]simplify: iters left: 4 (6 enodes) 1538416864.177 * * [misc]simplify: iters left: 3 (9 enodes) 1538416864.179 * [exit]simplify: Simplified to (sqrt PI) 1538416864.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.180 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.180 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.184 * * [misc]simplify: iters left: 5 (20 enodes) 1538416864.189 * * [misc]simplify: iters left: 4 (24 enodes) 1538416864.195 * * [misc]simplify: iters left: 3 (26 enodes) 1538416864.202 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.202 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.202 * * * * [misc]progress: [ 52 / 250 ] simplifiying candidate # 1538416864.203 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538416864.203 * * [misc]simplify: iters left: 3 (5 enodes) 1538416864.204 * * [misc]simplify: iters left: 2 (8 enodes) 1538416864.206 * * [misc]simplify: iters left: 1 (10 enodes) 1538416864.208 * [exit]simplify: Simplified to (sqrt PI) 1538416864.208 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.209 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.209 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.213 * * [misc]simplify: iters left: 5 (20 enodes) 1538416864.217 * * [misc]simplify: iters left: 4 (24 enodes) 1538416864.220 * * [misc]simplify: iters left: 3 (26 enodes) 1538416864.223 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.223 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.223 * * * * [misc]progress: [ 53 / 250 ] simplifiying candidate # 1538416864.223 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538416864.223 * * [misc]simplify: iters left: 3 (6 enodes) 1538416864.224 * * [misc]simplify: iters left: 2 (7 enodes) 1538416864.225 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416864.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.225 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.225 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.227 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.230 * * [misc]simplify: iters left: 4 (26 enodes) 1538416864.234 * * [misc]simplify: iters left: 3 (36 enodes) 1538416864.239 * * [misc]simplify: iters left: 2 (38 enodes) 1538416864.242 * * [misc]simplify: iters left: 1 (43 enodes) 1538416864.251 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538416864.251 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538416864.251 * * * * [misc]progress: [ 54 / 250 ] simplifiying candidate # 1538416864.251 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416864.251 * * [misc]simplify: iters left: 6 (11 enodes) 1538416864.256 * * [misc]simplify: iters left: 5 (16 enodes) 1538416864.260 * * [misc]simplify: iters left: 4 (19 enodes) 1538416864.265 * * [misc]simplify: iters left: 3 (21 enodes) 1538416864.270 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538416864.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1538416864.270 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538416864.270 * * [misc]simplify: iters left: 6 (10 enodes) 1538416864.273 * * [misc]simplify: iters left: 5 (13 enodes) 1538416864.276 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538416864.277 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1538416864.277 * * * * [misc]progress: [ 55 / 250 ] simplifiying candidate # 1538416864.277 * [enter]simplify: Simplifying (/ (pow PI 1/2) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.277 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.282 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.287 * * [misc]simplify: iters left: 4 (24 enodes) 1538416864.294 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.294 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.294 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.295 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.299 * * [misc]simplify: iters left: 5 (19 enodes) 1538416864.304 * * [misc]simplify: iters left: 4 (20 enodes) 1538416864.309 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.309 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.309 * * * * [misc]progress: [ 56 / 250 ] simplifiying candidate # 1538416864.310 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.310 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.313 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.318 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.323 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.324 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.324 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.324 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.328 * * [misc]simplify: iters left: 5 (19 enodes) 1538416864.333 * * [misc]simplify: iters left: 4 (20 enodes) 1538416864.339 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.339 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.339 * * * * [misc]progress: [ 57 / 250 ] simplifiying candidate # 1538416864.339 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416864.340 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.343 * * [misc]simplify: iters left: 5 (20 enodes) 1538416864.349 * * [misc]simplify: iters left: 4 (27 enodes) 1538416864.354 * * [misc]simplify: iters left: 3 (39 enodes) 1538416864.359 * * [misc]simplify: iters left: 2 (44 enodes) 1538416864.364 * * [misc]simplify: iters left: 1 (51 enodes) 1538416864.370 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538416864.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416864.371 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416864.371 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.373 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.375 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.378 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.381 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416864.381 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416864.382 * * * * [misc]progress: [ 58 / 250 ] simplifiying candidate # 1538416864.382 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416864.382 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.384 * * [misc]simplify: iters left: 5 (20 enodes) 1538416864.387 * * [misc]simplify: iters left: 4 (27 enodes) 1538416864.390 * * [misc]simplify: iters left: 3 (39 enodes) 1538416864.396 * * [misc]simplify: iters left: 2 (44 enodes) 1538416864.407 * * [misc]simplify: iters left: 1 (51 enodes) 1538416864.419 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1538416864.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416864.420 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416864.420 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.423 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.428 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.434 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.440 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416864.440 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416864.440 * * * * [misc]progress: [ 59 / 250 ] simplifiying candidate # 1538416864.441 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416864.441 * * [misc]simplify: iters left: 6 (14 enodes) 1538416864.445 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.451 * * [misc]simplify: iters left: 4 (31 enodes) 1538416864.459 * * [misc]simplify: iters left: 3 (43 enodes) 1538416864.471 * * [misc]simplify: iters left: 2 (48 enodes) 1538416864.482 * * [misc]simplify: iters left: 1 (55 enodes) 1538416864.489 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1538416864.489 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416864.490 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416864.490 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.492 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.495 * * [misc]simplify: iters left: 4 (22 enodes) 1538416864.498 * * [misc]simplify: iters left: 3 (24 enodes) 1538416864.501 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1538416864.501 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))))) 1538416864.501 * * * * [misc]progress: [ 60 / 250 ] simplifiying candidate # 1538416864.501 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.501 * * [misc]simplify: iters left: 6 (17 enodes) 1538416864.504 * * [misc]simplify: iters left: 5 (29 enodes) 1538416864.508 * * [misc]simplify: iters left: 4 (50 enodes) 1538416864.516 * * [misc]simplify: iters left: 3 (73 enodes) 1538416864.527 * * [misc]simplify: iters left: 2 (103 enodes) 1538416864.543 * * [misc]simplify: iters left: 1 (127 enodes) 1538416864.565 * [exit]simplify: Simplified to (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416864.565 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.565 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.565 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.568 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.571 * * [misc]simplify: iters left: 4 (26 enodes) 1538416864.577 * * [misc]simplify: iters left: 3 (28 enodes) 1538416864.584 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416864.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416864.584 * * * * [misc]progress: [ 61 / 250 ] simplifiying candidate # 1538416864.585 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.585 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.590 * * [misc]simplify: iters left: 5 (24 enodes) 1538416864.597 * * [misc]simplify: iters left: 4 (34 enodes) 1538416864.606 * * [misc]simplify: iters left: 3 (46 enodes) 1538416864.618 * * [misc]simplify: iters left: 2 (51 enodes) 1538416864.630 * * [misc]simplify: iters left: 1 (58 enodes) 1538416864.645 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1538416864.645 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.645 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.646 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.650 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.656 * * [misc]simplify: iters left: 4 (26 enodes) 1538416864.663 * * [misc]simplify: iters left: 3 (28 enodes) 1538416864.670 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416864.670 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416864.670 * * * * [misc]progress: [ 62 / 250 ] simplifiying candidate # 1538416864.671 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416864.671 * * [misc]simplify: iters left: 6 (10 enodes) 1538416864.674 * * [misc]simplify: iters left: 5 (17 enodes) 1538416864.679 * * [misc]simplify: iters left: 4 (28 enodes) 1538416864.686 * * [misc]simplify: iters left: 3 (33 enodes) 1538416864.694 * * [misc]simplify: iters left: 2 (50 enodes) 1538416864.710 * * [misc]simplify: iters left: 1 (65 enodes) 1538416864.727 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416864.727 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.728 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.728 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.732 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.738 * * [misc]simplify: iters left: 4 (25 enodes) 1538416864.745 * * [misc]simplify: iters left: 3 (27 enodes) 1538416864.752 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1538416864.752 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))))) 1538416864.752 * * * * [misc]progress: [ 63 / 250 ] simplifiying candidate # 1538416864.752 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416864.752 * * [misc]simplify: iters left: 6 (12 enodes) 1538416864.756 * * [misc]simplify: iters left: 5 (17 enodes) 1538416864.760 * * [misc]simplify: iters left: 4 (20 enodes) 1538416864.765 * * [misc]simplify: iters left: 3 (22 enodes) 1538416864.771 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538416864.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416864.771 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416864.771 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.775 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.780 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.785 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.791 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416864.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416864.792 * * * * [misc]progress: [ 64 / 250 ] simplifiying candidate # 1538416864.792 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416864.792 * * [misc]simplify: iters left: 6 (12 enodes) 1538416864.796 * * [misc]simplify: iters left: 5 (17 enodes) 1538416864.800 * * [misc]simplify: iters left: 4 (20 enodes) 1538416864.806 * * [misc]simplify: iters left: 3 (22 enodes) 1538416864.811 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1538416864.811 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416864.811 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416864.811 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.815 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.820 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.826 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.832 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416864.832 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416864.832 * * * * [misc]progress: [ 65 / 250 ] simplifiying candidate # 1538416864.832 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416864.833 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.836 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.841 * * [misc]simplify: iters left: 4 (24 enodes) 1538416864.848 * * [misc]simplify: iters left: 3 (26 enodes) 1538416864.853 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416864.853 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416864.853 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416864.853 * * [misc]simplify: iters left: 6 (13 enodes) 1538416864.856 * * [misc]simplify: iters left: 5 (18 enodes) 1538416864.858 * * [misc]simplify: iters left: 4 (22 enodes) 1538416864.861 * * [misc]simplify: iters left: 3 (24 enodes) 1538416864.864 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1538416864.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))))) 1538416864.864 * * * * [misc]progress: [ 66 / 250 ] simplifiying candidate # 1538416864.865 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.865 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.867 * * [misc]simplify: iters left: 5 (24 enodes) 1538416864.870 * * [misc]simplify: iters left: 4 (32 enodes) 1538416864.875 * * [misc]simplify: iters left: 3 (41 enodes) 1538416864.881 * * [misc]simplify: iters left: 2 (49 enodes) 1538416864.893 * * [misc]simplify: iters left: 1 (51 enodes) 1538416864.907 * [exit]simplify: Simplified to (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416864.907 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.907 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.907 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.910 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.913 * * [misc]simplify: iters left: 4 (26 enodes) 1538416864.916 * * [misc]simplify: iters left: 3 (28 enodes) 1538416864.920 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416864.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416864.920 * * * * [misc]progress: [ 67 / 250 ] simplifiying candidate # 1538416864.920 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.920 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.922 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.925 * * [misc]simplify: iters left: 4 (27 enodes) 1538416864.929 * * [misc]simplify: iters left: 3 (29 enodes) 1538416864.932 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416864.932 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416864.932 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416864.932 * * [misc]simplify: iters left: 6 (16 enodes) 1538416864.935 * * [misc]simplify: iters left: 5 (22 enodes) 1538416864.940 * * [misc]simplify: iters left: 4 (26 enodes) 1538416864.947 * * [misc]simplify: iters left: 3 (28 enodes) 1538416864.955 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416864.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416864.955 * * * * [misc]progress: [ 68 / 250 ] simplifiying candidate # 1538416864.956 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1538416864.956 * * [misc]simplify: iters left: 6 (9 enodes) 1538416864.958 * * [misc]simplify: iters left: 5 (14 enodes) 1538416864.963 * * [misc]simplify: iters left: 4 (21 enodes) 1538416864.968 * * [misc]simplify: iters left: 3 (23 enodes) 1538416864.972 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416864.972 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416864.973 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416864.973 * * [misc]simplify: iters left: 6 (15 enodes) 1538416864.977 * * [misc]simplify: iters left: 5 (21 enodes) 1538416864.983 * * [misc]simplify: iters left: 4 (25 enodes) 1538416864.989 * * [misc]simplify: iters left: 3 (27 enodes) 1538416864.996 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1538416864.996 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))))) 1538416864.996 * * * * [misc]progress: [ 69 / 250 ] simplifiying candidate # 1538416864.996 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538416864.996 * * [misc]simplify: iters left: 6 (10 enodes) 1538416864.998 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.000 * * [misc]simplify: iters left: 4 (19 enodes) 1538416865.003 * * [misc]simplify: iters left: 3 (28 enodes) 1538416865.006 * * [misc]simplify: iters left: 2 (31 enodes) 1538416865.010 * * [misc]simplify: iters left: 1 (33 enodes) 1538416865.013 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538416865.013 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416865.013 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416865.013 * * [misc]simplify: iters left: 6 (12 enodes) 1538416865.015 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.017 * * [misc]simplify: iters left: 4 (20 enodes) 1538416865.020 * * [misc]simplify: iters left: 3 (22 enodes) 1538416865.023 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416865.023 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416865.023 * * * * [misc]progress: [ 70 / 250 ] simplifiying candidate # 1538416865.023 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1538416865.023 * * [misc]simplify: iters left: 6 (10 enodes) 1538416865.025 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.027 * * [misc]simplify: iters left: 4 (19 enodes) 1538416865.032 * * [misc]simplify: iters left: 3 (28 enodes) 1538416865.039 * * [misc]simplify: iters left: 2 (31 enodes) 1538416865.046 * * [misc]simplify: iters left: 1 (33 enodes) 1538416865.052 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1538416865.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416865.053 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416865.053 * * [misc]simplify: iters left: 6 (12 enodes) 1538416865.057 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.061 * * [misc]simplify: iters left: 4 (20 enodes) 1538416865.067 * * [misc]simplify: iters left: 3 (22 enodes) 1538416865.074 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416865.074 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416865.074 * * * * [misc]progress: [ 71 / 250 ] simplifiying candidate # 1538416865.074 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416865.074 * * [misc]simplify: iters left: 6 (12 enodes) 1538416865.078 * * [misc]simplify: iters left: 5 (19 enodes) 1538416865.083 * * [misc]simplify: iters left: 4 (24 enodes) 1538416865.090 * * [misc]simplify: iters left: 3 (33 enodes) 1538416865.098 * * [misc]simplify: iters left: 2 (36 enodes) 1538416865.106 * * [misc]simplify: iters left: 1 (39 enodes) 1538416865.114 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1538416865.114 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416865.115 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416865.115 * * [misc]simplify: iters left: 6 (12 enodes) 1538416865.118 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.123 * * [misc]simplify: iters left: 4 (21 enodes) 1538416865.129 * * [misc]simplify: iters left: 3 (23 enodes) 1538416865.135 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416865.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416865.135 * * * * [misc]progress: [ 72 / 250 ] simplifiying candidate # 1538416865.135 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.135 * * [misc]simplify: iters left: 6 (15 enodes) 1538416865.140 * * [misc]simplify: iters left: 5 (25 enodes) 1538416865.147 * * [misc]simplify: iters left: 4 (32 enodes) 1538416865.156 * * [misc]simplify: iters left: 3 (47 enodes) 1538416865.163 * * [misc]simplify: iters left: 2 (62 enodes) 1538416865.171 * * [misc]simplify: iters left: 1 (76 enodes) 1538416865.182 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1538416865.182 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416865.183 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.183 * * [misc]simplify: iters left: 6 (15 enodes) 1538416865.185 * * [misc]simplify: iters left: 5 (21 enodes) 1538416865.189 * * [misc]simplify: iters left: 4 (25 enodes) 1538416865.196 * * [misc]simplify: iters left: 3 (27 enodes) 1538416865.203 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538416865.203 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538416865.203 * * * * [misc]progress: [ 73 / 250 ] simplifiying candidate # 1538416865.203 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.204 * * [misc]simplify: iters left: 6 (14 enodes) 1538416865.208 * * [misc]simplify: iters left: 5 (22 enodes) 1538416865.213 * * [misc]simplify: iters left: 4 (27 enodes) 1538416865.221 * * [misc]simplify: iters left: 3 (36 enodes) 1538416865.230 * * [misc]simplify: iters left: 2 (39 enodes) 1538416865.238 * * [misc]simplify: iters left: 1 (42 enodes) 1538416865.249 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1538416865.249 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416865.249 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.249 * * [misc]simplify: iters left: 6 (15 enodes) 1538416865.254 * * [misc]simplify: iters left: 5 (21 enodes) 1538416865.259 * * [misc]simplify: iters left: 4 (25 enodes) 1538416865.266 * * [misc]simplify: iters left: 3 (27 enodes) 1538416865.273 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1538416865.273 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))))) 1538416865.273 * * * * [misc]progress: [ 74 / 250 ] simplifiying candidate # 1538416865.273 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1538416865.273 * * [misc]simplify: iters left: 4 (6 enodes) 1538416865.275 * * [misc]simplify: iters left: 3 (9 enodes) 1538416865.277 * [exit]simplify: Simplified to (sqrt PI) 1538416865.277 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.277 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416865.278 * * [misc]simplify: iters left: 6 (14 enodes) 1538416865.282 * * [misc]simplify: iters left: 5 (20 enodes) 1538416865.287 * * [misc]simplify: iters left: 4 (24 enodes) 1538416865.294 * * [misc]simplify: iters left: 3 (26 enodes) 1538416865.300 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416865.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.300 * * * * [misc]progress: [ 75 / 250 ] simplifiying candidate # 1538416865.301 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1538416865.301 * * [misc]simplify: iters left: 3 (5 enodes) 1538416865.302 * * [misc]simplify: iters left: 2 (8 enodes) 1538416865.305 * * [misc]simplify: iters left: 1 (10 enodes) 1538416865.307 * [exit]simplify: Simplified to (sqrt PI) 1538416865.307 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.307 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416865.307 * * [misc]simplify: iters left: 6 (14 enodes) 1538416865.312 * * [misc]simplify: iters left: 5 (20 enodes) 1538416865.317 * * [misc]simplify: iters left: 4 (24 enodes) 1538416865.323 * * [misc]simplify: iters left: 3 (26 enodes) 1538416865.330 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416865.330 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.330 * * * * [misc]progress: [ 76 / 250 ] simplifiying candidate # 1538416865.331 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1538416865.331 * * [misc]simplify: iters left: 3 (6 enodes) 1538416865.332 * * [misc]simplify: iters left: 2 (7 enodes) 1538416865.334 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416865.334 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.334 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416865.335 * * [misc]simplify: iters left: 6 (14 enodes) 1538416865.339 * * [misc]simplify: iters left: 5 (22 enodes) 1538416865.346 * * [misc]simplify: iters left: 4 (26 enodes) 1538416865.353 * * [misc]simplify: iters left: 3 (36 enodes) 1538416865.363 * * [misc]simplify: iters left: 2 (38 enodes) 1538416865.370 * * [misc]simplify: iters left: 1 (43 enodes) 1538416865.379 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1538416865.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1538416865.380 * * * * [misc]progress: [ 77 / 250 ] simplifiying candidate # 1538416865.380 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416865.380 * * [misc]simplify: iters left: 6 (11 enodes) 1538416865.383 * * [misc]simplify: iters left: 5 (16 enodes) 1538416865.387 * * [misc]simplify: iters left: 4 (19 enodes) 1538416865.392 * * [misc]simplify: iters left: 3 (21 enodes) 1538416865.397 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538416865.397 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))))) 1538416865.398 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1538416865.398 * * [misc]simplify: iters left: 6 (10 enodes) 1538416865.401 * * [misc]simplify: iters left: 5 (13 enodes) 1538416865.404 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1538416865.404 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))))) 1538416865.404 * * * * [misc]progress: [ 78 / 250 ] simplifiying candidate # 1538416865.405 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.405 * * [misc]simplify: iters left: 6 (17 enodes) 1538416865.411 * * [misc]simplify: iters left: 5 (26 enodes) 1538416865.418 * * [misc]simplify: iters left: 4 (38 enodes) 1538416865.426 * * [misc]simplify: iters left: 3 (41 enodes) 1538416865.431 * * [misc]simplify: iters left: 2 (44 enodes) 1538416865.437 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.437 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416865.437 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.437 * * [misc]simplify: iters left: 6 (15 enodes) 1538416865.440 * * [misc]simplify: iters left: 5 (18 enodes) 1538416865.442 * * [misc]simplify: iters left: 4 (21 enodes) 1538416865.445 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416865.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416865.445 * * * * [misc]progress: [ 79 / 250 ] simplifiying candidate # 1538416865.445 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.445 * * [misc]simplify: iters left: 6 (16 enodes) 1538416865.448 * * [misc]simplify: iters left: 5 (21 enodes) 1538416865.451 * * [misc]simplify: iters left: 4 (26 enodes) 1538416865.454 * * [misc]simplify: iters left: 3 (27 enodes) 1538416865.459 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.459 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416865.459 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416865.459 * * [misc]simplify: iters left: 6 (15 enodes) 1538416865.463 * * [misc]simplify: iters left: 5 (18 enodes) 1538416865.468 * * [misc]simplify: iters left: 4 (21 enodes) 1538416865.474 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416865.474 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416865.474 * * * * [misc]progress: [ 80 / 250 ] simplifiying candidate # 1538416865.475 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416865.475 * * [misc]simplify: iters left: 6 (17 enodes) 1538416865.480 * * [misc]simplify: iters left: 5 (27 enodes) 1538416865.488 * * [misc]simplify: iters left: 4 (45 enodes) 1538416865.495 * * [misc]simplify: iters left: 3 (86 enodes) 1538416865.510 * * [misc]simplify: iters left: 2 (137 enodes) 1538416865.557 * * [misc]simplify: iters left: 1 (166 enodes) 1538416865.618 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416865.618 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416865.618 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416865.618 * * [misc]simplify: iters left: 6 (16 enodes) 1538416865.623 * * [misc]simplify: iters left: 5 (22 enodes) 1538416865.629 * * [misc]simplify: iters left: 4 (26 enodes) 1538416865.636 * * [misc]simplify: iters left: 3 (28 enodes) 1538416865.643 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416865.643 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416865.643 * * * * [misc]progress: [ 81 / 250 ] simplifiying candidate # 1538416865.644 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416865.644 * * [misc]simplify: iters left: 6 (17 enodes) 1538416865.649 * * [misc]simplify: iters left: 5 (27 enodes) 1538416865.657 * * [misc]simplify: iters left: 4 (45 enodes) 1538416865.672 * * [misc]simplify: iters left: 3 (86 enodes) 1538416865.697 * * [misc]simplify: iters left: 2 (137 enodes) 1538416865.723 * * [misc]simplify: iters left: 1 (166 enodes) 1538416865.768 * [exit]simplify: Simplified to (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416865.768 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416865.769 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416865.769 * * [misc]simplify: iters left: 6 (16 enodes) 1538416865.774 * * [misc]simplify: iters left: 5 (22 enodes) 1538416865.780 * * [misc]simplify: iters left: 4 (26 enodes) 1538416865.788 * * [misc]simplify: iters left: 3 (28 enodes) 1538416865.795 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416865.795 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416865.795 * * * * [misc]progress: [ 82 / 250 ] simplifiying candidate # 1538416865.796 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416865.796 * * [misc]simplify: iters left: 6 (16 enodes) 1538416865.801 * * [misc]simplify: iters left: 5 (24 enodes) 1538416865.808 * * [misc]simplify: iters left: 4 (42 enodes) 1538416865.822 * * [misc]simplify: iters left: 3 (83 enodes) 1538416865.847 * * [misc]simplify: iters left: 2 (134 enodes) 1538416865.873 * * [misc]simplify: iters left: 1 (163 enodes) 1538416865.912 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416865.912 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416865.913 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416865.913 * * [misc]simplify: iters left: 6 (13 enodes) 1538416865.914 * * [misc]simplify: iters left: 5 (17 enodes) 1538416865.917 * * [misc]simplify: iters left: 4 (23 enodes) 1538416865.920 * * [misc]simplify: iters left: 3 (25 enodes) 1538416865.924 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416865.924 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416865.924 * * * * [misc]progress: [ 83 / 250 ] simplifiying candidate # 1538416865.924 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416865.924 * * [misc]simplify: iters left: 6 (19 enodes) 1538416865.927 * * [misc]simplify: iters left: 5 (32 enodes) 1538416865.937 * * [misc]simplify: iters left: 4 (66 enodes) 1538416865.959 * * [misc]simplify: iters left: 3 (135 enodes) 1538416865.996 * * [misc]simplify: iters left: 2 (266 enodes) 1538416866.113 * * [misc]simplify: iters left: 1 (376 enodes) 1538416866.302 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) 1538416866.302 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416866.303 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.303 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.305 * * [misc]simplify: iters left: 5 (21 enodes) 1538416866.308 * * [misc]simplify: iters left: 4 (27 enodes) 1538416866.312 * * [misc]simplify: iters left: 3 (29 enodes) 1538416866.315 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416866.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416866.316 * * * * [misc]progress: [ 84 / 250 ] simplifiying candidate # 1538416866.316 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.316 * * [misc]simplify: iters left: 6 (18 enodes) 1538416866.319 * * [misc]simplify: iters left: 5 (27 enodes) 1538416866.324 * * [misc]simplify: iters left: 4 (45 enodes) 1538416866.331 * * [misc]simplify: iters left: 3 (86 enodes) 1538416866.347 * * [misc]simplify: iters left: 2 (137 enodes) 1538416866.398 * * [misc]simplify: iters left: 1 (166 enodes) 1538416866.432 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.432 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416866.432 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.432 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.434 * * [misc]simplify: iters left: 5 (21 enodes) 1538416866.440 * * [misc]simplify: iters left: 4 (27 enodes) 1538416866.447 * * [misc]simplify: iters left: 3 (29 enodes) 1538416866.451 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416866.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416866.451 * * * * [misc]progress: [ 85 / 250 ] simplifiying candidate # 1538416866.452 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416866.452 * * [misc]simplify: iters left: 6 (15 enodes) 1538416866.454 * * [misc]simplify: iters left: 5 (25 enodes) 1538416866.458 * * [misc]simplify: iters left: 4 (46 enodes) 1538416866.465 * * [misc]simplify: iters left: 3 (70 enodes) 1538416866.477 * * [misc]simplify: iters left: 2 (144 enodes) 1538416866.536 * * [misc]simplify: iters left: 1 (214 enodes) 1538416866.582 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416866.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416866.582 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416866.583 * * [misc]simplify: iters left: 6 (15 enodes) 1538416866.587 * * [misc]simplify: iters left: 5 (20 enodes) 1538416866.593 * * [misc]simplify: iters left: 4 (26 enodes) 1538416866.600 * * [misc]simplify: iters left: 3 (28 enodes) 1538416866.607 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416866.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416866.607 * * * * [misc]progress: [ 86 / 250 ] simplifiying candidate # 1538416866.607 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416866.608 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.615 * * [misc]simplify: iters left: 5 (24 enodes) 1538416866.621 * * [misc]simplify: iters left: 4 (34 enodes) 1538416866.631 * * [misc]simplify: iters left: 3 (46 enodes) 1538416866.639 * * [misc]simplify: iters left: 2 (58 enodes) 1538416866.647 * * [misc]simplify: iters left: 1 (64 enodes) 1538416866.665 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416866.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416866.666 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416866.666 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.671 * * [misc]simplify: iters left: 5 (22 enodes) 1538416866.676 * * [misc]simplify: iters left: 4 (26 enodes) 1538416866.679 * * [misc]simplify: iters left: 3 (28 enodes) 1538416866.683 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416866.683 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416866.683 * * * * [misc]progress: [ 87 / 250 ] simplifiying candidate # 1538416866.683 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416866.683 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.686 * * [misc]simplify: iters left: 5 (24 enodes) 1538416866.690 * * [misc]simplify: iters left: 4 (34 enodes) 1538416866.694 * * [misc]simplify: iters left: 3 (46 enodes) 1538416866.704 * * [misc]simplify: iters left: 2 (58 enodes) 1538416866.712 * * [misc]simplify: iters left: 1 (64 enodes) 1538416866.722 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416866.722 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416866.723 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416866.723 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.725 * * [misc]simplify: iters left: 5 (22 enodes) 1538416866.728 * * [misc]simplify: iters left: 4 (26 enodes) 1538416866.732 * * [misc]simplify: iters left: 3 (28 enodes) 1538416866.736 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416866.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416866.736 * * * * [misc]progress: [ 88 / 250 ] simplifiying candidate # 1538416866.736 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416866.736 * * [misc]simplify: iters left: 6 (15 enodes) 1538416866.738 * * [misc]simplify: iters left: 5 (21 enodes) 1538416866.741 * * [misc]simplify: iters left: 4 (31 enodes) 1538416866.746 * * [misc]simplify: iters left: 3 (43 enodes) 1538416866.756 * * [misc]simplify: iters left: 2 (55 enodes) 1538416866.771 * * [misc]simplify: iters left: 1 (61 enodes) 1538416866.788 * [exit]simplify: Simplified to (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416866.788 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (pow n (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416866.789 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416866.789 * * [misc]simplify: iters left: 6 (13 enodes) 1538416866.793 * * [misc]simplify: iters left: 5 (17 enodes) 1538416866.798 * * [misc]simplify: iters left: 4 (23 enodes) 1538416866.804 * * [misc]simplify: iters left: 3 (25 enodes) 1538416866.811 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416866.811 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416866.811 * * * * [misc]progress: [ 89 / 250 ] simplifiying candidate # 1538416866.811 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416866.812 * * [misc]simplify: iters left: 6 (18 enodes) 1538416866.817 * * [misc]simplify: iters left: 5 (27 enodes) 1538416866.826 * * [misc]simplify: iters left: 4 (41 enodes) 1538416866.839 * * [misc]simplify: iters left: 3 (67 enodes) 1538416866.860 * * [misc]simplify: iters left: 2 (106 enodes) 1538416866.883 * * [misc]simplify: iters left: 1 (137 enodes) 1538416866.917 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538416866.917 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416866.917 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.918 * * [misc]simplify: iters left: 6 (16 enodes) 1538416866.922 * * [misc]simplify: iters left: 5 (21 enodes) 1538416866.928 * * [misc]simplify: iters left: 4 (27 enodes) 1538416866.937 * * [misc]simplify: iters left: 3 (29 enodes) 1538416866.945 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416866.945 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416866.945 * * * * [misc]progress: [ 90 / 250 ] simplifiying candidate # 1538416866.945 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.945 * * [misc]simplify: iters left: 6 (17 enodes) 1538416866.952 * * [misc]simplify: iters left: 5 (24 enodes) 1538416866.959 * * [misc]simplify: iters left: 4 (34 enodes) 1538416866.968 * * [misc]simplify: iters left: 3 (46 enodes) 1538416866.980 * * [misc]simplify: iters left: 2 (58 enodes) 1538416866.988 * * [misc]simplify: iters left: 1 (64 enodes) 1538416866.998 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416866.998 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416866.998 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416866.998 * * [misc]simplify: iters left: 6 (16 enodes) 1538416867.001 * * [misc]simplify: iters left: 5 (21 enodes) 1538416867.004 * * [misc]simplify: iters left: 4 (27 enodes) 1538416867.007 * * [misc]simplify: iters left: 3 (29 enodes) 1538416867.011 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416867.011 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416867.011 * * * * [misc]progress: [ 91 / 250 ] simplifiying candidate # 1538416867.012 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538416867.012 * * [misc]simplify: iters left: 6 (14 enodes) 1538416867.014 * * [misc]simplify: iters left: 5 (22 enodes) 1538416867.017 * * [misc]simplify: iters left: 4 (33 enodes) 1538416867.022 * * [misc]simplify: iters left: 3 (44 enodes) 1538416867.027 * * [misc]simplify: iters left: 2 (45 enodes) 1538416867.031 * * [misc]simplify: iters left: 1 (51 enodes) 1538416867.037 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416867.037 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416867.037 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416867.037 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.040 * * [misc]simplify: iters left: 5 (20 enodes) 1538416867.045 * * [misc]simplify: iters left: 4 (26 enodes) 1538416867.050 * * [misc]simplify: iters left: 3 (28 enodes) 1538416867.053 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416867.053 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416867.053 * * * * [misc]progress: [ 92 / 250 ] simplifiying candidate # 1538416867.054 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538416867.054 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.056 * * [misc]simplify: iters left: 5 (25 enodes) 1538416867.060 * * [misc]simplify: iters left: 4 (35 enodes) 1538416867.065 * * [misc]simplify: iters left: 3 (50 enodes) 1538416867.073 * * [misc]simplify: iters left: 2 (98 enodes) 1538416867.110 * * [misc]simplify: iters left: 1 (235 enodes) 1538416867.207 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538416867.207 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416867.208 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416867.208 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.210 * * [misc]simplify: iters left: 5 (21 enodes) 1538416867.213 * * [misc]simplify: iters left: 4 (25 enodes) 1538416867.216 * * [misc]simplify: iters left: 3 (27 enodes) 1538416867.219 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538416867.219 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538416867.220 * * * * [misc]progress: [ 93 / 250 ] simplifiying candidate # 1538416867.220 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538416867.220 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.222 * * [misc]simplify: iters left: 5 (25 enodes) 1538416867.226 * * [misc]simplify: iters left: 4 (35 enodes) 1538416867.231 * * [misc]simplify: iters left: 3 (50 enodes) 1538416867.243 * * [misc]simplify: iters left: 2 (98 enodes) 1538416867.288 * * [misc]simplify: iters left: 1 (235 enodes) 1538416867.404 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1538416867.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416867.405 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416867.405 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.407 * * [misc]simplify: iters left: 5 (21 enodes) 1538416867.410 * * [misc]simplify: iters left: 4 (25 enodes) 1538416867.413 * * [misc]simplify: iters left: 3 (27 enodes) 1538416867.417 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538416867.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538416867.417 * * * * [misc]progress: [ 94 / 250 ] simplifiying candidate # 1538416867.417 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416867.417 * * [misc]simplify: iters left: 6 (14 enodes) 1538416867.419 * * [misc]simplify: iters left: 5 (22 enodes) 1538416867.422 * * [misc]simplify: iters left: 4 (32 enodes) 1538416867.427 * * [misc]simplify: iters left: 3 (47 enodes) 1538416867.435 * * [misc]simplify: iters left: 2 (95 enodes) 1538416867.467 * * [misc]simplify: iters left: 1 (215 enodes) 1538416867.571 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416867.571 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416867.571 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416867.571 * * [misc]simplify: iters left: 6 (12 enodes) 1538416867.575 * * [misc]simplify: iters left: 5 (16 enodes) 1538416867.580 * * [misc]simplify: iters left: 4 (22 enodes) 1538416867.585 * * [misc]simplify: iters left: 3 (24 enodes) 1538416867.591 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416867.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416867.592 * * * * [misc]progress: [ 95 / 250 ] simplifiying candidate # 1538416867.592 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416867.592 * * [misc]simplify: iters left: 6 (17 enodes) 1538416867.599 * * [misc]simplify: iters left: 5 (28 enodes) 1538416867.607 * * [misc]simplify: iters left: 4 (42 enodes) 1538416867.619 * * [misc]simplify: iters left: 3 (69 enodes) 1538416867.642 * * [misc]simplify: iters left: 2 (137 enodes) 1538416867.711 * * [misc]simplify: iters left: 1 (398 enodes) 1538416867.964 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416867.964 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416867.965 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416867.965 * * [misc]simplify: iters left: 6 (15 enodes) 1538416867.967 * * [misc]simplify: iters left: 5 (20 enodes) 1538416867.970 * * [misc]simplify: iters left: 4 (26 enodes) 1538416867.973 * * [misc]simplify: iters left: 3 (28 enodes) 1538416867.977 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416867.977 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416867.977 * * * * [misc]progress: [ 96 / 250 ] simplifiying candidate # 1538416867.977 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416867.977 * * [misc]simplify: iters left: 6 (16 enodes) 1538416867.980 * * [misc]simplify: iters left: 5 (25 enodes) 1538416867.983 * * [misc]simplify: iters left: 4 (35 enodes) 1538416867.988 * * [misc]simplify: iters left: 3 (50 enodes) 1538416867.996 * * [misc]simplify: iters left: 2 (73 enodes) 1538416868.009 * * [misc]simplify: iters left: 1 (148 enodes) 1538416868.053 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416868.053 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.053 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.053 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.056 * * [misc]simplify: iters left: 5 (20 enodes) 1538416868.059 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.062 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.066 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416868.066 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416868.066 * * * * [misc]progress: [ 97 / 250 ] simplifiying candidate # 1538416868.066 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1538416868.066 * * [misc]simplify: iters left: 6 (12 enodes) 1538416868.068 * * [misc]simplify: iters left: 5 (18 enodes) 1538416868.070 * * [misc]simplify: iters left: 4 (21 enodes) 1538416868.074 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.077 * * [misc]simplify: iters left: 2 (31 enodes) 1538416868.080 * * [misc]simplify: iters left: 1 (38 enodes) 1538416868.087 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416868.087 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.087 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416868.087 * * [misc]simplify: iters left: 6 (14 enodes) 1538416868.091 * * [misc]simplify: iters left: 5 (19 enodes) 1538416868.094 * * [misc]simplify: iters left: 4 (25 enodes) 1538416868.097 * * [misc]simplify: iters left: 3 (27 enodes) 1538416868.101 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416868.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416868.101 * * * * [misc]progress: [ 98 / 250 ] simplifiying candidate # 1538416868.101 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1538416868.101 * * [misc]simplify: iters left: 6 (11 enodes) 1538416868.103 * * [misc]simplify: iters left: 5 (17 enodes) 1538416868.106 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.109 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.112 * * [misc]simplify: iters left: 2 (33 enodes) 1538416868.117 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416868.117 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.117 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416868.118 * * [misc]simplify: iters left: 6 (14 enodes) 1538416868.120 * * [misc]simplify: iters left: 5 (19 enodes) 1538416868.122 * * [misc]simplify: iters left: 4 (25 enodes) 1538416868.128 * * [misc]simplify: iters left: 3 (27 enodes) 1538416868.135 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416868.135 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416868.135 * * * * [misc]progress: [ 99 / 250 ] simplifiying candidate # 1538416868.135 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1538416868.135 * * [misc]simplify: iters left: 6 (11 enodes) 1538416868.139 * * [misc]simplify: iters left: 5 (15 enodes) 1538416868.143 * * [misc]simplify: iters left: 4 (20 enodes) 1538416868.148 * * [misc]simplify: iters left: 3 (21 enodes) 1538416868.151 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416868.151 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.151 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416868.151 * * [misc]simplify: iters left: 6 (14 enodes) 1538416868.153 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.156 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.161 * * [misc]simplify: iters left: 3 (37 enodes) 1538416868.165 * * [misc]simplify: iters left: 2 (39 enodes) 1538416868.169 * * [misc]simplify: iters left: 1 (44 enodes) 1538416868.174 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416868.174 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538416868.174 * * * * [misc]progress: [ 100 / 250 ] simplifiying candidate # 1538416868.174 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416868.174 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.177 * * [misc]simplify: iters left: 5 (23 enodes) 1538416868.180 * * [misc]simplify: iters left: 4 (33 enodes) 1538416868.186 * * [misc]simplify: iters left: 3 (45 enodes) 1538416868.197 * * [misc]simplify: iters left: 2 (57 enodes) 1538416868.212 * * [misc]simplify: iters left: 1 (63 enodes) 1538416868.231 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416868.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416868.233 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416868.233 * * [misc]simplify: iters left: 6 (12 enodes) 1538416868.236 * * [misc]simplify: iters left: 5 (15 enodes) 1538416868.241 * * [misc]simplify: iters left: 4 (18 enodes) 1538416868.246 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416868.246 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416868.246 * * * * [misc]progress: [ 101 / 250 ] simplifiying candidate # 1538416868.246 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.247 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.251 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.257 * * [misc]simplify: iters left: 4 (24 enodes) 1538416868.264 * [exit]simplify: Simplified to (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416868.264 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.265 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.265 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.269 * * [misc]simplify: iters left: 5 (18 enodes) 1538416868.274 * * [misc]simplify: iters left: 4 (21 enodes) 1538416868.280 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416868.280 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416868.280 * * * * [misc]progress: [ 102 / 250 ] simplifiying candidate # 1538416868.281 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.281 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.285 * * [misc]simplify: iters left: 5 (18 enodes) 1538416868.290 * * [misc]simplify: iters left: 4 (21 enodes) 1538416868.296 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416868.296 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.296 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.296 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.301 * * [misc]simplify: iters left: 5 (18 enodes) 1538416868.306 * * [misc]simplify: iters left: 4 (21 enodes) 1538416868.312 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416868.312 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416868.312 * * * * [misc]progress: [ 103 / 250 ] simplifiying candidate # 1538416868.312 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416868.313 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.315 * * [misc]simplify: iters left: 5 (24 enodes) 1538416868.319 * * [misc]simplify: iters left: 4 (34 enodes) 1538416868.323 * * [misc]simplify: iters left: 3 (46 enodes) 1538416868.330 * * [misc]simplify: iters left: 2 (51 enodes) 1538416868.336 * * [misc]simplify: iters left: 1 (58 enodes) 1538416868.345 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538416868.345 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.345 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.345 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.350 * * [misc]simplify: iters left: 5 (22 enodes) 1538416868.356 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.363 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.370 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.370 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.371 * * * * [misc]progress: [ 104 / 250 ] simplifiying candidate # 1538416868.371 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416868.371 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.376 * * [misc]simplify: iters left: 5 (24 enodes) 1538416868.382 * * [misc]simplify: iters left: 4 (34 enodes) 1538416868.392 * * [misc]simplify: iters left: 3 (46 enodes) 1538416868.404 * * [misc]simplify: iters left: 2 (51 enodes) 1538416868.416 * * [misc]simplify: iters left: 1 (58 enodes) 1538416868.431 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1538416868.431 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.431 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.431 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.436 * * [misc]simplify: iters left: 5 (22 enodes) 1538416868.441 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.448 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.455 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.455 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.455 * * * * [misc]progress: [ 105 / 250 ] simplifiying candidate # 1538416868.455 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416868.456 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.460 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.466 * * [misc]simplify: iters left: 4 (31 enodes) 1538416868.475 * * [misc]simplify: iters left: 3 (43 enodes) 1538416868.481 * * [misc]simplify: iters left: 2 (48 enodes) 1538416868.487 * * [misc]simplify: iters left: 1 (55 enodes) 1538416868.494 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416868.494 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416868.494 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416868.495 * * [misc]simplify: iters left: 6 (13 enodes) 1538416868.496 * * [misc]simplify: iters left: 5 (17 enodes) 1538416868.499 * * [misc]simplify: iters left: 4 (23 enodes) 1538416868.502 * * [misc]simplify: iters left: 3 (25 enodes) 1538416868.505 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416868.505 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416868.505 * * * * [misc]progress: [ 106 / 250 ] simplifiying candidate # 1538416868.505 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.505 * * [misc]simplify: iters left: 6 (18 enodes) 1538416868.508 * * [misc]simplify: iters left: 5 (29 enodes) 1538416868.513 * * [misc]simplify: iters left: 4 (50 enodes) 1538416868.521 * * [misc]simplify: iters left: 3 (73 enodes) 1538416868.532 * * [misc]simplify: iters left: 2 (103 enodes) 1538416868.548 * * [misc]simplify: iters left: 1 (127 enodes) 1538416868.570 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) 1538416868.570 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.571 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.571 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.573 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.576 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.580 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.583 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416868.583 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416868.583 * * * * [misc]progress: [ 107 / 250 ] simplifiying candidate # 1538416868.584 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.584 * * [misc]simplify: iters left: 6 (17 enodes) 1538416868.586 * * [misc]simplify: iters left: 5 (24 enodes) 1538416868.592 * * [misc]simplify: iters left: 4 (34 enodes) 1538416868.601 * * [misc]simplify: iters left: 3 (46 enodes) 1538416868.613 * * [misc]simplify: iters left: 2 (51 enodes) 1538416868.626 * * [misc]simplify: iters left: 1 (58 enodes) 1538416868.641 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416868.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.641 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.642 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.646 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.652 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.659 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.668 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416868.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416868.668 * * * * [misc]progress: [ 108 / 250 ] simplifiying candidate # 1538416868.668 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416868.668 * * [misc]simplify: iters left: 6 (14 enodes) 1538416868.672 * * [misc]simplify: iters left: 5 (22 enodes) 1538416868.680 * * [misc]simplify: iters left: 4 (36 enodes) 1538416868.690 * * [misc]simplify: iters left: 3 (57 enodes) 1538416868.706 * * [misc]simplify: iters left: 2 (119 enodes) 1538416868.743 * * [misc]simplify: iters left: 1 (178 enodes) 1538416868.759 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416868.759 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.759 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416868.759 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.761 * * [misc]simplify: iters left: 5 (20 enodes) 1538416868.764 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.768 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.772 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416868.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.772 * * * * [misc]progress: [ 109 / 250 ] simplifiying candidate # 1538416868.772 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416868.773 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.775 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.778 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.784 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.791 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538416868.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.791 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.791 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.796 * * [misc]simplify: iters left: 5 (22 enodes) 1538416868.802 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.809 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.816 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.816 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.816 * * * * [misc]progress: [ 110 / 250 ] simplifiying candidate # 1538416868.817 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416868.817 * * [misc]simplify: iters left: 6 (15 enodes) 1538416868.821 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.827 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.834 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.842 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1538416868.842 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.842 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.842 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.847 * * [misc]simplify: iters left: 5 (22 enodes) 1538416868.850 * * [misc]simplify: iters left: 4 (26 enodes) 1538416868.853 * * [misc]simplify: iters left: 3 (28 enodes) 1538416868.857 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416868.857 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416868.857 * * * * [misc]progress: [ 111 / 250 ] simplifiying candidate # 1538416868.857 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416868.857 * * [misc]simplify: iters left: 6 (14 enodes) 1538416868.859 * * [misc]simplify: iters left: 5 (18 enodes) 1538416868.862 * * [misc]simplify: iters left: 4 (24 enodes) 1538416868.865 * * [misc]simplify: iters left: 3 (26 enodes) 1538416868.869 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416868.869 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416868.869 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416868.869 * * [misc]simplify: iters left: 6 (13 enodes) 1538416868.871 * * [misc]simplify: iters left: 5 (17 enodes) 1538416868.873 * * [misc]simplify: iters left: 4 (23 enodes) 1538416868.878 * * [misc]simplify: iters left: 3 (25 enodes) 1538416868.885 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416868.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416868.885 * * * * [misc]progress: [ 112 / 250 ] simplifiying candidate # 1538416868.886 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416868.886 * * [misc]simplify: iters left: 6 (17 enodes) 1538416868.891 * * [misc]simplify: iters left: 5 (24 enodes) 1538416868.898 * * [misc]simplify: iters left: 4 (32 enodes) 1538416868.907 * * [misc]simplify: iters left: 3 (41 enodes) 1538416868.919 * * [misc]simplify: iters left: 2 (49 enodes) 1538416868.930 * * [misc]simplify: iters left: 1 (51 enodes) 1538416868.942 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.942 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.942 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.942 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.945 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.947 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.951 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.955 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416868.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416868.955 * * * * [misc]progress: [ 113 / 250 ] simplifiying candidate # 1538416868.955 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.956 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.958 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.961 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.964 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.969 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416868.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416868.969 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416868.969 * * [misc]simplify: iters left: 6 (16 enodes) 1538416868.974 * * [misc]simplify: iters left: 5 (21 enodes) 1538416868.980 * * [misc]simplify: iters left: 4 (27 enodes) 1538416868.987 * * [misc]simplify: iters left: 3 (29 enodes) 1538416868.995 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416868.995 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416868.995 * * * * [misc]progress: [ 114 / 250 ] simplifiying candidate # 1538416868.995 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1538416868.995 * * [misc]simplify: iters left: 6 (13 enodes) 1538416868.999 * * [misc]simplify: iters left: 5 (19 enodes) 1538416869.006 * * [misc]simplify: iters left: 4 (29 enodes) 1538416869.014 * * [misc]simplify: iters left: 3 (33 enodes) 1538416869.021 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416869.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.021 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416869.021 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.026 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.031 * * [misc]simplify: iters left: 4 (26 enodes) 1538416869.038 * * [misc]simplify: iters left: 3 (28 enodes) 1538416869.045 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416869.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.045 * * * * [misc]progress: [ 115 / 250 ] simplifiying candidate # 1538416869.046 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538416869.046 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.050 * * [misc]simplify: iters left: 5 (22 enodes) 1538416869.056 * * [misc]simplify: iters left: 4 (28 enodes) 1538416869.064 * * [misc]simplify: iters left: 3 (38 enodes) 1538416869.074 * * [misc]simplify: iters left: 2 (40 enodes) 1538416869.082 * * [misc]simplify: iters left: 1 (45 enodes) 1538416869.092 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416869.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416869.092 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416869.092 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.097 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.101 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.104 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.107 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538416869.107 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538416869.108 * * * * [misc]progress: [ 116 / 250 ] simplifiying candidate # 1538416869.108 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1538416869.108 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.110 * * [misc]simplify: iters left: 5 (22 enodes) 1538416869.114 * * [misc]simplify: iters left: 4 (28 enodes) 1538416869.121 * * [misc]simplify: iters left: 3 (38 enodes) 1538416869.131 * * [misc]simplify: iters left: 2 (40 enodes) 1538416869.138 * * [misc]simplify: iters left: 1 (45 enodes) 1538416869.145 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416869.145 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416869.145 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416869.145 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.147 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.150 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.153 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.157 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1538416869.157 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))))) 1538416869.157 * * * * [misc]progress: [ 117 / 250 ] simplifiying candidate # 1538416869.157 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416869.157 * * [misc]simplify: iters left: 6 (13 enodes) 1538416869.159 * * [misc]simplify: iters left: 5 (19 enodes) 1538416869.161 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.166 * * [misc]simplify: iters left: 3 (35 enodes) 1538416869.170 * * [misc]simplify: iters left: 2 (37 enodes) 1538416869.174 * * [misc]simplify: iters left: 1 (42 enodes) 1538416869.179 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416869.179 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416869.179 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416869.179 * * [misc]simplify: iters left: 6 (12 enodes) 1538416869.181 * * [misc]simplify: iters left: 5 (16 enodes) 1538416869.184 * * [misc]simplify: iters left: 4 (22 enodes) 1538416869.186 * * [misc]simplify: iters left: 3 (24 enodes) 1538416869.190 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416869.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416869.190 * * * * [misc]progress: [ 118 / 250 ] simplifiying candidate # 1538416869.190 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.190 * * [misc]simplify: iters left: 6 (16 enodes) 1538416869.192 * * [misc]simplify: iters left: 5 (25 enodes) 1538416869.196 * * [misc]simplify: iters left: 4 (33 enodes) 1538416869.203 * * [misc]simplify: iters left: 3 (47 enodes) 1538416869.216 * * [misc]simplify: iters left: 2 (56 enodes) 1538416869.229 * * [misc]simplify: iters left: 1 (66 enodes) 1538416869.250 * [exit]simplify: Simplified to (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.250 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.250 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.251 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.255 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.260 * * [misc]simplify: iters left: 4 (26 enodes) 1538416869.267 * * [misc]simplify: iters left: 3 (28 enodes) 1538416869.275 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.275 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416869.275 * * * * [misc]progress: [ 119 / 250 ] simplifiying candidate # 1538416869.275 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.276 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.280 * * [misc]simplify: iters left: 5 (22 enodes) 1538416869.287 * * [misc]simplify: iters left: 4 (28 enodes) 1538416869.295 * * [misc]simplify: iters left: 3 (38 enodes) 1538416869.304 * * [misc]simplify: iters left: 2 (40 enodes) 1538416869.312 * * [misc]simplify: iters left: 1 (45 enodes) 1538416869.319 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416869.319 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.319 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.319 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.321 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.324 * * [misc]simplify: iters left: 4 (26 enodes) 1538416869.328 * * [misc]simplify: iters left: 3 (28 enodes) 1538416869.331 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.331 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416869.332 * * * * [misc]progress: [ 120 / 250 ] simplifiying candidate # 1538416869.332 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1538416869.332 * * [misc]simplify: iters left: 6 (11 enodes) 1538416869.333 * * [misc]simplify: iters left: 5 (15 enodes) 1538416869.335 * * [misc]simplify: iters left: 4 (18 enodes) 1538416869.338 * * [misc]simplify: iters left: 3 (20 enodes) 1538416869.340 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416869.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.340 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416869.340 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.342 * * [misc]simplify: iters left: 5 (19 enodes) 1538416869.347 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.353 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.360 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.360 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416869.360 * * * * [misc]progress: [ 121 / 250 ] simplifiying candidate # 1538416869.361 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1538416869.361 * * [misc]simplify: iters left: 6 (10 enodes) 1538416869.364 * * [misc]simplify: iters left: 5 (14 enodes) 1538416869.366 * * [misc]simplify: iters left: 4 (19 enodes) 1538416869.369 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416869.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.369 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416869.369 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.371 * * [misc]simplify: iters left: 5 (19 enodes) 1538416869.374 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.377 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.380 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416869.380 * * * * [misc]progress: [ 122 / 250 ] simplifiying candidate # 1538416869.381 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416869.381 * * [misc]simplify: iters left: 6 (10 enodes) 1538416869.382 * * [misc]simplify: iters left: 5 (12 enodes) 1538416869.384 * * [misc]simplify: iters left: 4 (15 enodes) 1538416869.386 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416869.386 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.386 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416869.386 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.388 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.391 * * [misc]simplify: iters left: 4 (27 enodes) 1538416869.396 * * [misc]simplify: iters left: 3 (37 enodes) 1538416869.400 * * [misc]simplify: iters left: 2 (39 enodes) 1538416869.407 * * [misc]simplify: iters left: 1 (44 enodes) 1538416869.417 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416869.417 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538416869.417 * * * * [misc]progress: [ 123 / 250 ] simplifiying candidate # 1538416869.417 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416869.418 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.422 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.427 * * [misc]simplify: iters left: 4 (26 enodes) 1538416869.430 * * [misc]simplify: iters left: 3 (28 enodes) 1538416869.434 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1538416869.434 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416869.434 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416869.434 * * [misc]simplify: iters left: 6 (12 enodes) 1538416869.436 * * [misc]simplify: iters left: 5 (15 enodes) 1538416869.438 * * [misc]simplify: iters left: 4 (18 enodes) 1538416869.440 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416869.441 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416869.441 * * * * [misc]progress: [ 124 / 250 ] simplifiying candidate # 1538416869.441 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.441 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.443 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.446 * * [misc]simplify: iters left: 4 (24 enodes) 1538416869.451 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.451 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.451 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.451 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.455 * * [misc]simplify: iters left: 5 (17 enodes) 1538416869.461 * * [misc]simplify: iters left: 4 (20 enodes) 1538416869.466 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.467 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.467 * * * * [misc]progress: [ 125 / 250 ] simplifiying candidate # 1538416869.467 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.467 * * [misc]simplify: iters left: 6 (13 enodes) 1538416869.469 * * [misc]simplify: iters left: 5 (18 enodes) 1538416869.471 * * [misc]simplify: iters left: 4 (21 enodes) 1538416869.474 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.474 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.474 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.474 * * [misc]simplify: iters left: 6 (14 enodes) 1538416869.476 * * [misc]simplify: iters left: 5 (17 enodes) 1538416869.479 * * [misc]simplify: iters left: 4 (20 enodes) 1538416869.482 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.482 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.482 * * * * [misc]progress: [ 126 / 250 ] simplifiying candidate # 1538416869.482 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416869.482 * * [misc]simplify: iters left: 6 (12 enodes) 1538416869.484 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.487 * * [misc]simplify: iters left: 4 (27 enodes) 1538416869.490 * * [misc]simplify: iters left: 3 (37 enodes) 1538416869.498 * * [misc]simplify: iters left: 2 (64 enodes) 1538416869.508 * * [misc]simplify: iters left: 1 (93 enodes) 1538416869.529 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416869.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416869.529 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416869.529 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.534 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.539 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.546 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.553 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416869.553 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416869.553 * * * * [misc]progress: [ 127 / 250 ] simplifiying candidate # 1538416869.554 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416869.554 * * [misc]simplify: iters left: 6 (12 enodes) 1538416869.557 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.563 * * [misc]simplify: iters left: 4 (27 enodes) 1538416869.571 * * [misc]simplify: iters left: 3 (37 enodes) 1538416869.578 * * [misc]simplify: iters left: 2 (64 enodes) 1538416869.588 * * [misc]simplify: iters left: 1 (93 enodes) 1538416869.604 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416869.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416869.604 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416869.604 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.606 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.611 * * [misc]simplify: iters left: 4 (25 enodes) 1538416869.617 * * [misc]simplify: iters left: 3 (27 enodes) 1538416869.620 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416869.621 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416869.621 * * * * [misc]progress: [ 128 / 250 ] simplifiying candidate # 1538416869.621 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416869.621 * * [misc]simplify: iters left: 6 (13 enodes) 1538416869.623 * * [misc]simplify: iters left: 5 (21 enodes) 1538416869.626 * * [misc]simplify: iters left: 4 (31 enodes) 1538416869.630 * * [misc]simplify: iters left: 3 (51 enodes) 1538416869.639 * * [misc]simplify: iters left: 2 (90 enodes) 1538416869.655 * * [misc]simplify: iters left: 1 (181 enodes) 1538416869.745 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416869.745 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416869.746 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416869.746 * * [misc]simplify: iters left: 6 (12 enodes) 1538416869.749 * * [misc]simplify: iters left: 5 (16 enodes) 1538416869.754 * * [misc]simplify: iters left: 4 (22 enodes) 1538416869.761 * * [misc]simplify: iters left: 3 (24 enodes) 1538416869.768 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538416869.768 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416869.768 * * * * [misc]progress: [ 129 / 250 ] simplifiying candidate # 1538416869.768 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416869.768 * * [misc]simplify: iters left: 6 (16 enodes) 1538416869.772 * * [misc]simplify: iters left: 5 (29 enodes) 1538416869.777 * * [misc]simplify: iters left: 4 (50 enodes) 1538416869.784 * * [misc]simplify: iters left: 3 (70 enodes) 1538416869.802 * * [misc]simplify: iters left: 2 (169 enodes) 1538416869.908 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416869.908 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416869.908 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.908 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.911 * * [misc]simplify: iters left: 5 (20 enodes) 1538416869.914 * * [misc]simplify: iters left: 4 (26 enodes) 1538416869.917 * * [misc]simplify: iters left: 3 (28 enodes) 1538416869.921 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416869.921 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416869.921 * * * * [misc]progress: [ 130 / 250 ] simplifiying candidate # 1538416869.921 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416869.921 * * [misc]simplify: iters left: 6 (15 enodes) 1538416869.923 * * [misc]simplify: iters left: 5 (24 enodes) 1538416869.927 * * [misc]simplify: iters left: 4 (34 enodes) 1538416869.932 * * [misc]simplify: iters left: 3 (54 enodes) 1538416869.941 * * [misc]simplify: iters left: 2 (93 enodes) 1538416869.956 * * [misc]simplify: iters left: 1 (182 enodes) 1538416870.018 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416870.018 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416870.018 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.018 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.023 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.028 * * [misc]simplify: iters left: 4 (26 enodes) 1538416870.035 * * [misc]simplify: iters left: 3 (28 enodes) 1538416870.042 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416870.042 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416870.042 * * * * [misc]progress: [ 131 / 250 ] simplifiying candidate # 1538416870.043 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416870.043 * * [misc]simplify: iters left: 6 (7 enodes) 1538416870.045 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.050 * * [misc]simplify: iters left: 4 (22 enodes) 1538416870.054 * * [misc]simplify: iters left: 3 (24 enodes) 1538416870.059 * * [misc]simplify: iters left: 2 (29 enodes) 1538416870.065 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538416870.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.066 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.066 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.070 * * [misc]simplify: iters left: 5 (19 enodes) 1538416870.073 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.076 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.081 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416870.081 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416870.081 * * * * [misc]progress: [ 132 / 250 ] simplifiying candidate # 1538416870.082 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416870.082 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.083 * * [misc]simplify: iters left: 5 (17 enodes) 1538416870.085 * * [misc]simplify: iters left: 4 (20 enodes) 1538416870.088 * * [misc]simplify: iters left: 3 (22 enodes) 1538416870.091 * * [misc]simplify: iters left: 2 (34 enodes) 1538416870.096 * * [misc]simplify: iters left: 1 (42 enodes) 1538416870.102 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538416870.102 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416870.102 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416870.102 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.107 * * [misc]simplify: iters left: 5 (21 enodes) 1538416870.112 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.119 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.126 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416870.126 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416870.126 * * * * [misc]progress: [ 133 / 250 ] simplifiying candidate # 1538416870.126 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416870.126 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.129 * * [misc]simplify: iters left: 5 (17 enodes) 1538416870.133 * * [misc]simplify: iters left: 4 (20 enodes) 1538416870.138 * * [misc]simplify: iters left: 3 (22 enodes) 1538416870.145 * * [misc]simplify: iters left: 2 (34 enodes) 1538416870.153 * * [misc]simplify: iters left: 1 (42 enodes) 1538416870.162 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538416870.162 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416870.163 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416870.163 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.167 * * [misc]simplify: iters left: 5 (21 enodes) 1538416870.173 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.179 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.186 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416870.186 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416870.187 * * * * [misc]progress: [ 134 / 250 ] simplifiying candidate # 1538416870.187 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416870.187 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.190 * * [misc]simplify: iters left: 5 (18 enodes) 1538416870.196 * * [misc]simplify: iters left: 4 (24 enodes) 1538416870.202 * * [misc]simplify: iters left: 3 (32 enodes) 1538416870.213 * * [misc]simplify: iters left: 2 (41 enodes) 1538416870.222 * * [misc]simplify: iters left: 1 (51 enodes) 1538416870.229 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416870.229 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416870.229 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416870.229 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.231 * * [misc]simplify: iters left: 5 (16 enodes) 1538416870.233 * * [misc]simplify: iters left: 4 (22 enodes) 1538416870.236 * * [misc]simplify: iters left: 3 (24 enodes) 1538416870.239 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538416870.239 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416870.239 * * * * [misc]progress: [ 135 / 250 ] simplifiying candidate # 1538416870.240 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.240 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.242 * * [misc]simplify: iters left: 5 (24 enodes) 1538416870.246 * * [misc]simplify: iters left: 4 (32 enodes) 1538416870.250 * * [misc]simplify: iters left: 3 (43 enodes) 1538416870.262 * * [misc]simplify: iters left: 2 (69 enodes) 1538416870.284 * * [misc]simplify: iters left: 1 (119 enodes) 1538416870.329 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.329 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416870.329 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.329 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.332 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.335 * * [misc]simplify: iters left: 4 (26 enodes) 1538416870.338 * * [misc]simplify: iters left: 3 (28 enodes) 1538416870.342 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416870.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416870.342 * * * * [misc]progress: [ 136 / 250 ] simplifiying candidate # 1538416870.342 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.343 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.345 * * [misc]simplify: iters left: 5 (21 enodes) 1538416870.347 * * [misc]simplify: iters left: 4 (27 enodes) 1538416870.351 * * [misc]simplify: iters left: 3 (35 enodes) 1538416870.356 * * [misc]simplify: iters left: 2 (43 enodes) 1538416870.361 * * [misc]simplify: iters left: 1 (56 enodes) 1538416870.369 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416870.369 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416870.369 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.369 * * [misc]simplify: iters left: 6 (15 enodes) 1538416870.371 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.377 * * [misc]simplify: iters left: 4 (26 enodes) 1538416870.384 * * [misc]simplify: iters left: 3 (28 enodes) 1538416870.391 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416870.391 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416870.391 * * * * [misc]progress: [ 137 / 250 ] simplifiying candidate # 1538416870.391 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538416870.391 * * [misc]simplify: iters left: 6 (6 enodes) 1538416870.393 * * [misc]simplify: iters left: 5 (10 enodes) 1538416870.396 * * [misc]simplify: iters left: 4 (16 enodes) 1538416870.400 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538416870.400 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.401 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.401 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.405 * * [misc]simplify: iters left: 5 (19 enodes) 1538416870.410 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.417 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.425 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416870.425 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416870.425 * * * * [misc]progress: [ 138 / 250 ] simplifiying candidate # 1538416870.426 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538416870.426 * * [misc]simplify: iters left: 6 (8 enodes) 1538416870.429 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.432 * * [misc]simplify: iters left: 4 (15 enodes) 1538416870.436 * * [misc]simplify: iters left: 3 (19 enodes) 1538416870.440 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416870.440 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416870.441 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416870.441 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.445 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.450 * * [misc]simplify: iters left: 4 (24 enodes) 1538416870.457 * * [misc]simplify: iters left: 3 (26 enodes) 1538416870.464 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416870.464 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538416870.464 * * * * [misc]progress: [ 139 / 250 ] simplifiying candidate # 1538416870.464 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538416870.464 * * [misc]simplify: iters left: 6 (8 enodes) 1538416870.467 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.471 * * [misc]simplify: iters left: 4 (15 enodes) 1538416870.475 * * [misc]simplify: iters left: 3 (19 enodes) 1538416870.479 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416870.479 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416870.479 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416870.479 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.483 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.489 * * [misc]simplify: iters left: 4 (24 enodes) 1538416870.495 * * [misc]simplify: iters left: 3 (26 enodes) 1538416870.502 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416870.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538416870.502 * * * * [misc]progress: [ 140 / 250 ] simplifiying candidate # 1538416870.502 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416870.503 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.507 * * [misc]simplify: iters left: 5 (16 enodes) 1538416870.511 * * [misc]simplify: iters left: 4 (20 enodes) 1538416870.516 * * [misc]simplify: iters left: 3 (24 enodes) 1538416870.521 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538416870.522 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416870.522 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416870.522 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.525 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.529 * * [misc]simplify: iters left: 4 (21 enodes) 1538416870.535 * * [misc]simplify: iters left: 3 (23 enodes) 1538416870.541 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416870.541 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416870.541 * * * * [misc]progress: [ 141 / 250 ] simplifiying candidate # 1538416870.541 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.542 * * [misc]simplify: iters left: 6 (13 enodes) 1538416870.546 * * [misc]simplify: iters left: 5 (22 enodes) 1538416870.552 * * [misc]simplify: iters left: 4 (26 enodes) 1538416870.559 * * [misc]simplify: iters left: 3 (32 enodes) 1538416870.567 * * [misc]simplify: iters left: 2 (34 enodes) 1538416870.575 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416870.575 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416870.575 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.575 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.581 * * [misc]simplify: iters left: 5 (19 enodes) 1538416870.586 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.592 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.595 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.596 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.596 * * * * [misc]progress: [ 142 / 250 ] simplifiying candidate # 1538416870.596 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.596 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.598 * * [misc]simplify: iters left: 5 (19 enodes) 1538416870.601 * * [misc]simplify: iters left: 4 (23 enodes) 1538416870.604 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.608 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416870.608 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416870.608 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.608 * * [misc]simplify: iters left: 6 (14 enodes) 1538416870.610 * * [misc]simplify: iters left: 5 (19 enodes) 1538416870.613 * * [misc]simplify: iters left: 4 (25 enodes) 1538416870.616 * * [misc]simplify: iters left: 3 (27 enodes) 1538416870.620 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.620 * * * * [misc]progress: [ 143 / 250 ] simplifiying candidate # 1538416870.620 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538416870.620 * * [misc]simplify: iters left: 4 (3 enodes) 1538416870.621 * * [misc]simplify: iters left: 3 (5 enodes) 1538416870.622 * [exit]simplify: Simplified to 1 1538416870.622 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.622 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.622 * * [misc]simplify: iters left: 6 (13 enodes) 1538416870.626 * * [misc]simplify: iters left: 5 (18 enodes) 1538416870.631 * * [misc]simplify: iters left: 4 (24 enodes) 1538416870.638 * * [misc]simplify: iters left: 3 (26 enodes) 1538416870.644 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416870.644 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538416870.644 * * * * [misc]progress: [ 144 / 250 ] simplifiying candidate # 1538416870.645 * [enter]simplify: Simplifying (/ 1 1) 1538416870.645 * * [misc]simplify: iters left: 2 (2 enodes) 1538416870.645 * * [misc]simplify: iters left: 1 (4 enodes) 1538416870.646 * [exit]simplify: Simplified to 1 1538416870.646 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.646 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.647 * * [misc]simplify: iters left: 6 (13 enodes) 1538416870.650 * * [misc]simplify: iters left: 5 (18 enodes) 1538416870.656 * * [misc]simplify: iters left: 4 (24 enodes) 1538416870.662 * * [misc]simplify: iters left: 3 (26 enodes) 1538416870.669 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416870.669 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)))) 1538416870.669 * * * * [misc]progress: [ 145 / 250 ] simplifiying candidate # 1538416870.670 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538416870.670 * * [misc]simplify: iters left: 3 (4 enodes) 1538416870.671 * * [misc]simplify: iters left: 2 (6 enodes) 1538416870.672 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538416870.672 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.673 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.673 * * [misc]simplify: iters left: 6 (13 enodes) 1538416870.677 * * [misc]simplify: iters left: 5 (20 enodes) 1538416870.682 * * [misc]simplify: iters left: 4 (26 enodes) 1538416870.690 * * [misc]simplify: iters left: 3 (36 enodes) 1538416870.699 * * [misc]simplify: iters left: 2 (38 enodes) 1538416870.707 * * [misc]simplify: iters left: 1 (43 enodes) 1538416870.717 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1538416870.718 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))))) 1538416870.718 * * * * [misc]progress: [ 146 / 250 ] simplifiying candidate # 1538416870.718 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538416870.718 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.721 * * [misc]simplify: iters left: 5 (16 enodes) 1538416870.725 * * [misc]simplify: iters left: 4 (19 enodes) 1538416870.730 * * [misc]simplify: iters left: 3 (21 enodes) 1538416870.736 * * [misc]simplify: iters left: 2 (33 enodes) 1538416870.744 * * [misc]simplify: iters left: 1 (41 enodes) 1538416870.752 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538416870.752 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))))) 1538416870.752 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1538416870.752 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.754 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.756 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.758 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538416870.758 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1538416870.758 * * * * [misc]progress: [ 147 / 250 ] simplifiying candidate # 1538416870.759 * * * * [misc]progress: [ 148 / 250 ] simplifiying candidate # 1538416870.759 * * * * [misc]progress: [ 149 / 250 ] simplifiying candidate # 1538416870.759 * * * * [misc]progress: [ 150 / 250 ] simplifiying candidate # 1538416870.759 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.759 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.760 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.762 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.764 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.765 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.765 * * * * [misc]progress: [ 151 / 250 ] simplifiying candidate # 1538416870.765 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.765 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.766 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.768 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.770 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.770 * * * * [misc]progress: [ 152 / 250 ] simplifiying candidate # 1538416870.771 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416870.771 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.772 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.774 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416870.774 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416870.774 * * * * [misc]progress: [ 153 / 250 ] simplifiying candidate # 1538416870.774 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416870.774 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.776 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.777 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416870.777 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416870.777 * * * * [misc]progress: [ 154 / 250 ] simplifiying candidate # 1538416870.778 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416870.778 * * [misc]simplify: iters left: 6 (9 enodes) 1538416870.779 * * [misc]simplify: iters left: 5 (11 enodes) 1538416870.780 * * [misc]simplify: iters left: 4 (14 enodes) 1538416870.782 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416870.782 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416870.782 * * * * [misc]progress: [ 155 / 250 ] simplifiying candidate # 1538416870.782 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.782 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.785 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.789 * * [misc]simplify: iters left: 4 (18 enodes) 1538416870.794 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.794 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.794 * * * * [misc]progress: [ 156 / 250 ] simplifiying candidate # 1538416870.794 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.795 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.798 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.802 * * [misc]simplify: iters left: 4 (18 enodes) 1538416870.807 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.807 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.808 * * * * [misc]progress: [ 157 / 250 ] simplifiying candidate # 1538416870.808 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.808 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.811 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.815 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.820 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.820 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.820 * * * * [misc]progress: [ 158 / 250 ] simplifiying candidate # 1538416870.820 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416870.820 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.825 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.828 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416870.828 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416870.828 * * * * [misc]progress: [ 159 / 250 ] simplifiying candidate # 1538416870.829 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416870.829 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.832 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.835 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416870.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416870.836 * * * * [misc]progress: [ 160 / 250 ] simplifiying candidate # 1538416870.836 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416870.836 * * [misc]simplify: iters left: 6 (9 enodes) 1538416870.839 * * [misc]simplify: iters left: 5 (11 enodes) 1538416870.842 * * [misc]simplify: iters left: 4 (14 enodes) 1538416870.845 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416870.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416870.845 * * * * [misc]progress: [ 161 / 250 ] simplifiying candidate # 1538416870.846 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.846 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.849 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.853 * * [misc]simplify: iters left: 4 (18 enodes) 1538416870.858 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.858 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.858 * * * * [misc]progress: [ 162 / 250 ] simplifiying candidate # 1538416870.859 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.859 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.861 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.863 * * [misc]simplify: iters left: 4 (18 enodes) 1538416870.865 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.865 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.866 * * * * [misc]progress: [ 163 / 250 ] simplifiying candidate # 1538416870.866 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.866 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.867 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.869 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.872 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.872 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.872 * * * * [misc]progress: [ 164 / 250 ] simplifiying candidate # 1538416870.872 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416870.872 * * [misc]simplify: iters left: 6 (9 enodes) 1538416870.873 * * [misc]simplify: iters left: 5 (12 enodes) 1538416870.875 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416870.875 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538416870.875 * * * * [misc]progress: [ 165 / 250 ] simplifiying candidate # 1538416870.875 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416870.875 * * [misc]simplify: iters left: 6 (9 enodes) 1538416870.877 * * [misc]simplify: iters left: 5 (12 enodes) 1538416870.878 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416870.878 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538416870.878 * * * * [misc]progress: [ 166 / 250 ] simplifiying candidate # 1538416870.878 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416870.878 * * [misc]simplify: iters left: 6 (8 enodes) 1538416870.880 * * [misc]simplify: iters left: 5 (10 enodes) 1538416870.881 * * [misc]simplify: iters left: 4 (13 enodes) 1538416870.883 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416870.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1538416870.883 * * * * [misc]progress: [ 167 / 250 ] simplifiying candidate # 1538416870.883 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.883 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.885 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.887 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.891 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.891 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.891 * * * * [misc]progress: [ 168 / 250 ] simplifiying candidate # 1538416870.891 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.892 * * [misc]simplify: iters left: 6 (11 enodes) 1538416870.895 * * [misc]simplify: iters left: 5 (14 enodes) 1538416870.899 * * [misc]simplify: iters left: 4 (17 enodes) 1538416870.904 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.904 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416870.904 * * * * [misc]progress: [ 169 / 250 ] simplifiying candidate # 1538416870.905 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.905 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.908 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.912 * * [misc]simplify: iters left: 4 (16 enodes) 1538416870.916 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.916 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.916 * * * * [misc]progress: [ 170 / 250 ] simplifiying candidate # 1538416870.917 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.917 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.920 * * [misc]simplify: iters left: 5 (13 enodes) 1538416870.923 * * [misc]simplify: iters left: 4 (16 enodes) 1538416870.928 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.928 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416870.928 * * * * [misc]progress: [ 171 / 250 ] simplifiying candidate # 1538416870.928 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538416870.928 * * [misc]simplify: iters left: 6 (10 enodes) 1538416870.931 * * [misc]simplify: iters left: 5 (15 enodes) 1538416870.935 * * [misc]simplify: iters left: 4 (18 enodes) 1538416870.940 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416870.940 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416870.940 * * * * [misc]progress: [ 172 / 250 ] simplifiying candidate # 1538416870.940 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416870.940 * * [misc]simplify: iters left: 3 (6 enodes) 1538416870.942 * * [misc]simplify: iters left: 2 (7 enodes) 1538416870.944 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416870.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1538416870.944 * * * * [misc]progress: [ 173 / 250 ] simplifiying candidate # 1538416870.944 * [enter]simplify: Simplifying (pow PI 1/2) 1538416870.944 * * [misc]simplify: iters left: 1 (3 enodes) 1538416870.944 * [exit]simplify: Simplified to (sqrt PI) 1538416870.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538416870.944 * * * * [misc]progress: [ 174 / 250 ] simplifiying candidate # 1538416870.944 * [enter]simplify: Simplifying (pow PI 1/2) 1538416870.945 * * [misc]simplify: iters left: 1 (3 enodes) 1538416870.945 * [exit]simplify: Simplified to (sqrt PI) 1538416870.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1538416870.945 * * * * [misc]progress: [ 175 / 250 ] simplifiying candidate # 1538416870.945 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416870.945 * * [misc]simplify: iters left: 6 (9 enodes) 1538416870.947 * * [misc]simplify: iters left: 5 (11 enodes) 1538416870.949 * * [misc]simplify: iters left: 4 (14 enodes) 1538416870.951 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416870.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538416870.951 * * * * [misc]progress: [ 176 / 250 ] simplifiying candidate # 1538416870.951 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416870.951 * * [misc]simplify: iters left: 6 (8 enodes) 1538416870.952 * * [misc]simplify: iters left: 5 (10 enodes) 1538416870.954 * * [misc]simplify: iters left: 4 (13 enodes) 1538416870.955 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416870.955 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538416870.956 * * * * [misc]progress: [ 177 / 250 ] simplifiying candidate # 1538416870.956 * * * * [misc]progress: [ 178 / 250 ] simplifiying candidate # 1538416870.956 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538416870.956 * * [misc]simplify: iters left: 5 (8 enodes) 1538416870.957 * * [misc]simplify: iters left: 4 (11 enodes) 1538416870.958 * * [misc]simplify: iters left: 3 (14 enodes) 1538416870.960 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538416870.960 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416870.960 * * * * [misc]progress: [ 179 / 250 ] simplifiying candidate # 1538416870.961 * [enter]simplify: Simplifying (pow PI 1/2) 1538416870.961 * * [misc]simplify: iters left: 1 (3 enodes) 1538416870.961 * [exit]simplify: Simplified to (sqrt PI) 1538416870.961 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1538416870.961 * * * * [misc]progress: [ 180 / 250 ] simplifiying candidate # 1538416870.961 * * * * [misc]progress: [ 181 / 250 ] simplifiying candidate # 1538416870.961 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416870.961 * * [misc]simplify: iters left: 6 (12 enodes) 1538416870.964 * * [misc]simplify: iters left: 5 (21 enodes) 1538416870.968 * * [misc]simplify: iters left: 4 (44 enodes) 1538416870.977 * * [misc]simplify: iters left: 3 (125 enodes) 1538416871.005 * * [misc]simplify: iters left: 2 (343 enodes) 1538416871.122 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538416871.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538416871.122 * * * * [misc]progress: [ 182 / 250 ] simplifiying candidate # 1538416871.122 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416871.122 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.125 * * [misc]simplify: iters left: 5 (21 enodes) 1538416871.128 * * [misc]simplify: iters left: 4 (44 enodes) 1538416871.137 * * [misc]simplify: iters left: 3 (125 enodes) 1538416871.179 * * [misc]simplify: iters left: 2 (343 enodes) 1538416871.285 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538416871.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538416871.285 * * * * [misc]progress: [ 183 / 250 ] simplifiying candidate # 1538416871.285 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.285 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.289 * * [misc]simplify: iters left: 5 (19 enodes) 1538416871.295 * * [misc]simplify: iters left: 4 (32 enodes) 1538416871.309 * * [misc]simplify: iters left: 3 (67 enodes) 1538416871.337 * * [misc]simplify: iters left: 2 (194 enodes) 1538416871.447 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416871.447 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538416871.447 * * * * [misc]progress: [ 184 / 250 ] simplifiying candidate # 1538416871.447 * * * * [misc]progress: [ 185 / 250 ] simplifiying candidate # 1538416871.448 * * * * [misc]progress: [ 186 / 250 ] simplifiying candidate # 1538416871.448 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.448 * * [misc]simplify: iters left: 6 (14 enodes) 1538416871.450 * * [misc]simplify: iters left: 5 (26 enodes) 1538416871.454 * * [misc]simplify: iters left: 4 (58 enodes) 1538416871.465 * * [misc]simplify: iters left: 3 (117 enodes) 1538416871.498 * * [misc]simplify: iters left: 2 (193 enodes) 1538416871.566 * * [misc]simplify: iters left: 1 (263 enodes) 1538416871.701 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.701 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.701 * * * * [misc]progress: [ 187 / 250 ] simplifiying candidate # 1538416871.701 * * * * [misc]progress: [ 188 / 250 ] simplifiying candidate # 1538416871.701 * * * * [misc]progress: [ 189 / 250 ] simplifiying candidate # 1538416871.701 * * * * [misc]progress: [ 190 / 250 ] simplifiying candidate # 1538416871.702 * * * * [misc]progress: [ 191 / 250 ] simplifiying candidate # 1538416871.702 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538416871.702 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.705 * * [misc]simplify: iters left: 5 (14 enodes) 1538416871.709 * * [misc]simplify: iters left: 4 (16 enodes) 1538416871.713 * * [misc]simplify: iters left: 3 (17 enodes) 1538416871.718 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538416871.718 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416871.718 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416871.718 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.721 * * [misc]simplify: iters left: 5 (13 enodes) 1538416871.725 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416871.725 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416871.725 * * * * [misc]progress: [ 192 / 250 ] simplifiying candidate # 1538416871.725 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538416871.725 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.729 * * [misc]simplify: iters left: 5 (14 enodes) 1538416871.732 * * [misc]simplify: iters left: 4 (16 enodes) 1538416871.736 * * [misc]simplify: iters left: 3 (17 enodes) 1538416871.741 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538416871.741 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416871.741 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416871.741 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.744 * * [misc]simplify: iters left: 5 (13 enodes) 1538416871.748 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416871.748 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416871.748 * * * * [misc]progress: [ 193 / 250 ] simplifiying candidate # 1538416871.749 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416871.749 * * [misc]simplify: iters left: 6 (11 enodes) 1538416871.752 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.758 * * [misc]simplify: iters left: 4 (20 enodes) 1538416871.764 * * [misc]simplify: iters left: 3 (21 enodes) 1538416871.769 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416871.769 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416871.770 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416871.770 * * [misc]simplify: iters left: 6 (9 enodes) 1538416871.772 * * [misc]simplify: iters left: 5 (11 enodes) 1538416871.775 * * [misc]simplify: iters left: 4 (14 enodes) 1538416871.779 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416871.779 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416871.779 * * * * [misc]progress: [ 194 / 250 ] simplifiying candidate # 1538416871.779 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416871.779 * * [misc]simplify: iters left: 6 (14 enodes) 1538416871.784 * * [misc]simplify: iters left: 5 (23 enodes) 1538416871.790 * * [misc]simplify: iters left: 4 (35 enodes) 1538416871.800 * * [misc]simplify: iters left: 3 (38 enodes) 1538416871.810 * * [misc]simplify: iters left: 2 (41 enodes) 1538416871.820 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416871.821 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.821 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.821 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.824 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.828 * * [misc]simplify: iters left: 4 (18 enodes) 1538416871.833 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.833 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.833 * * * * [misc]progress: [ 195 / 250 ] simplifiying candidate # 1538416871.834 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.834 * * [misc]simplify: iters left: 6 (13 enodes) 1538416871.838 * * [misc]simplify: iters left: 5 (18 enodes) 1538416871.843 * * [misc]simplify: iters left: 4 (23 enodes) 1538416871.849 * * [misc]simplify: iters left: 3 (24 enodes) 1538416871.855 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.855 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.856 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.856 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.859 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.863 * * [misc]simplify: iters left: 4 (18 enodes) 1538416871.868 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.868 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.868 * * * * [misc]progress: [ 196 / 250 ] simplifiying candidate # 1538416871.868 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538416871.869 * * [misc]simplify: iters left: 6 (6 enodes) 1538416871.870 * * [misc]simplify: iters left: 5 (10 enodes) 1538416871.874 * * [misc]simplify: iters left: 4 (16 enodes) 1538416871.877 * * [misc]simplify: iters left: 3 (18 enodes) 1538416871.881 * * [misc]simplify: iters left: 2 (23 enodes) 1538416871.886 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416871.886 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416871.887 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416871.887 * * [misc]simplify: iters left: 6 (11 enodes) 1538416871.890 * * [misc]simplify: iters left: 5 (14 enodes) 1538416871.893 * * [misc]simplify: iters left: 4 (17 enodes) 1538416871.898 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416871.898 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416871.898 * * * * [misc]progress: [ 197 / 250 ] simplifiying candidate # 1538416871.898 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538416871.898 * * [misc]simplify: iters left: 5 (9 enodes) 1538416871.901 * * [misc]simplify: iters left: 4 (11 enodes) 1538416871.904 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538416871.904 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416871.904 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416871.904 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.908 * * [misc]simplify: iters left: 5 (13 enodes) 1538416871.912 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416871.912 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416871.912 * * * * [misc]progress: [ 198 / 250 ] simplifiying candidate # 1538416871.912 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538416871.912 * * [misc]simplify: iters left: 5 (9 enodes) 1538416871.915 * * [misc]simplify: iters left: 4 (11 enodes) 1538416871.918 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538416871.918 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416871.918 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416871.918 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.921 * * [misc]simplify: iters left: 5 (13 enodes) 1538416871.925 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416871.925 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416871.925 * * * * [misc]progress: [ 199 / 250 ] simplifiying candidate # 1538416871.925 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538416871.925 * * [misc]simplify: iters left: 6 (10 enodes) 1538416871.928 * * [misc]simplify: iters left: 5 (12 enodes) 1538416871.931 * * [misc]simplify: iters left: 4 (15 enodes) 1538416871.935 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538416871.936 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416871.936 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416871.936 * * [misc]simplify: iters left: 6 (9 enodes) 1538416871.939 * * [misc]simplify: iters left: 5 (11 enodes) 1538416871.942 * * [misc]simplify: iters left: 4 (14 enodes) 1538416871.946 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416871.946 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416871.946 * * * * [misc]progress: [ 200 / 250 ] simplifiying candidate # 1538416871.946 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416871.946 * * [misc]simplify: iters left: 6 (13 enodes) 1538416871.950 * * [misc]simplify: iters left: 5 (18 enodes) 1538416871.955 * * [misc]simplify: iters left: 4 (21 enodes) 1538416871.961 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416871.961 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.961 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.961 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.965 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.969 * * [misc]simplify: iters left: 4 (18 enodes) 1538416871.974 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.974 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.974 * * * * [misc]progress: [ 201 / 250 ] simplifiying candidate # 1538416871.974 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.974 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.978 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.982 * * [misc]simplify: iters left: 4 (18 enodes) 1538416871.987 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.987 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416871.987 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416871.987 * * [misc]simplify: iters left: 6 (12 enodes) 1538416871.991 * * [misc]simplify: iters left: 5 (15 enodes) 1538416871.995 * * [misc]simplify: iters left: 4 (18 enodes) 1538416872.000 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.000 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416872.000 * * * * [misc]progress: [ 202 / 250 ] simplifiying candidate # 1538416872.000 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538416872.000 * * [misc]simplify: iters left: 4 (5 enodes) 1538416872.002 * * [misc]simplify: iters left: 3 (7 enodes) 1538416872.005 * * [misc]simplify: iters left: 2 (9 enodes) 1538416872.006 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538416872.006 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.006 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.007 * * [misc]simplify: iters left: 6 (11 enodes) 1538416872.010 * * [misc]simplify: iters left: 5 (14 enodes) 1538416872.014 * * [misc]simplify: iters left: 4 (17 enodes) 1538416872.017 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.017 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.017 * * * * [misc]progress: [ 203 / 250 ] simplifiying candidate # 1538416872.017 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538416872.017 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.018 * * [misc]simplify: iters left: 4 (11 enodes) 1538416872.020 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538416872.020 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416872.020 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416872.020 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.021 * * [misc]simplify: iters left: 5 (12 enodes) 1538416872.023 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416872.023 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416872.023 * * * * [misc]progress: [ 204 / 250 ] simplifiying candidate # 1538416872.023 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538416872.023 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.024 * * [misc]simplify: iters left: 4 (11 enodes) 1538416872.025 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538416872.025 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416872.026 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416872.026 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.027 * * [misc]simplify: iters left: 5 (12 enodes) 1538416872.029 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416872.029 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416872.029 * * * * [misc]progress: [ 205 / 250 ] simplifiying candidate # 1538416872.029 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538416872.029 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.030 * * [misc]simplify: iters left: 5 (13 enodes) 1538416872.032 * * [misc]simplify: iters left: 4 (16 enodes) 1538416872.034 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538416872.034 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416872.034 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416872.034 * * [misc]simplify: iters left: 6 (8 enodes) 1538416872.035 * * [misc]simplify: iters left: 5 (10 enodes) 1538416872.038 * * [misc]simplify: iters left: 4 (13 enodes) 1538416872.040 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416872.040 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416872.040 * * * * [misc]progress: [ 206 / 250 ] simplifiying candidate # 1538416872.040 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416872.040 * * [misc]simplify: iters left: 6 (12 enodes) 1538416872.042 * * [misc]simplify: iters left: 5 (19 enodes) 1538416872.046 * * [misc]simplify: iters left: 4 (22 enodes) 1538416872.051 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416872.051 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416872.052 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.052 * * [misc]simplify: iters left: 6 (11 enodes) 1538416872.055 * * [misc]simplify: iters left: 5 (14 enodes) 1538416872.059 * * [misc]simplify: iters left: 4 (17 enodes) 1538416872.063 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.063 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416872.063 * * * * [misc]progress: [ 207 / 250 ] simplifiying candidate # 1538416872.064 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.064 * * [misc]simplify: iters left: 6 (11 enodes) 1538416872.067 * * [misc]simplify: iters left: 5 (16 enodes) 1538416872.071 * * [misc]simplify: iters left: 4 (19 enodes) 1538416872.076 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416872.076 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416872.076 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.076 * * [misc]simplify: iters left: 6 (11 enodes) 1538416872.080 * * [misc]simplify: iters left: 5 (14 enodes) 1538416872.083 * * [misc]simplify: iters left: 4 (17 enodes) 1538416872.088 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416872.088 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416872.088 * * * * [misc]progress: [ 208 / 250 ] simplifiying candidate # 1538416872.089 * [enter]simplify: Simplifying (/ 1 1) 1538416872.089 * * [misc]simplify: iters left: 2 (2 enodes) 1538416872.089 * * [misc]simplify: iters left: 1 (4 enodes) 1538416872.090 * [exit]simplify: Simplified to 1 1538416872.090 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.090 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.090 * * [misc]simplify: iters left: 6 (10 enodes) 1538416872.093 * * [misc]simplify: iters left: 5 (13 enodes) 1538416872.096 * * [misc]simplify: iters left: 4 (16 enodes) 1538416872.098 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.098 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.098 * * * * [misc]progress: [ 209 / 250 ] simplifiying candidate # 1538416872.098 * * * * [misc]progress: [ 210 / 250 ] simplifiying candidate # 1538416872.099 * * * * [misc]progress: [ 211 / 250 ] simplifiying candidate # 1538416872.099 * * * * [misc]progress: [ 212 / 250 ] simplifiying candidate # 1538416872.099 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416872.099 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.100 * * [misc]simplify: iters left: 4 (10 enodes) 1538416872.101 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416872.101 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538416872.101 * * * * [misc]progress: [ 213 / 250 ] simplifiying candidate # 1538416872.101 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416872.101 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.102 * * [misc]simplify: iters left: 4 (10 enodes) 1538416872.104 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416872.104 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538416872.104 * * * * [misc]progress: [ 214 / 250 ] simplifiying candidate # 1538416872.104 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538416872.104 * * [misc]simplify: iters left: 5 (6 enodes) 1538416872.105 * * [misc]simplify: iters left: 4 (8 enodes) 1538416872.106 * * [misc]simplify: iters left: 3 (11 enodes) 1538416872.108 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538416872.108 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1538416872.108 * * * * [misc]progress: [ 215 / 250 ] simplifiying candidate # 1538416872.108 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.108 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.109 * * [misc]simplify: iters left: 5 (12 enodes) 1538416872.111 * * [misc]simplify: iters left: 4 (15 enodes) 1538416872.113 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.113 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.113 * * * * [misc]progress: [ 216 / 250 ] simplifiying candidate # 1538416872.113 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.113 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.115 * * [misc]simplify: iters left: 5 (12 enodes) 1538416872.116 * * [misc]simplify: iters left: 4 (15 enodes) 1538416872.119 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416872.119 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416872.119 * * * * [misc]progress: [ 217 / 250 ] simplifiying candidate # 1538416872.119 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538416872.119 * * [misc]simplify: iters left: 5 (8 enodes) 1538416872.120 * * [misc]simplify: iters left: 4 (11 enodes) 1538416872.122 * * [misc]simplify: iters left: 3 (14 enodes) 1538416872.124 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538416872.124 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416872.124 * * * * [misc]progress: [ 218 / 250 ] simplifiying candidate # 1538416872.124 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416872.124 * * [misc]simplify: iters left: 4 (4 enodes) 1538416872.125 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416872.125 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416872.125 * * * * [misc]progress: [ 219 / 250 ] simplifiying candidate # 1538416872.126 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538416872.126 * * [misc]simplify: iters left: 2 (3 enodes) 1538416872.127 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538416872.127 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416872.127 * * * * [misc]progress: [ 220 / 250 ] simplifiying candidate # 1538416872.127 * * * * [misc]progress: [ 221 / 250 ] simplifiying candidate # 1538416872.127 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416872.127 * * [misc]simplify: iters left: 3 (6 enodes) 1538416872.129 * * [misc]simplify: iters left: 2 (7 enodes) 1538416872.131 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416872.131 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1538416872.131 * * * * [misc]progress: [ 222 / 250 ] simplifiying candidate # 1538416872.131 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538416872.131 * * [misc]simplify: iters left: 6 (9 enodes) 1538416872.135 * * [misc]simplify: iters left: 5 (16 enodes) 1538416872.140 * * [misc]simplify: iters left: 4 (32 enodes) 1538416872.151 * * [misc]simplify: iters left: 3 (68 enodes) 1538416872.168 * * [misc]simplify: iters left: 2 (171 enodes) 1538416872.210 * * [misc]simplify: iters left: 1 (342 enodes) 1538416872.360 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538416872.360 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538416872.360 * * * * [misc]progress: [ 223 / 250 ] simplifiying candidate # 1538416872.360 * * * * [misc]progress: [ 224 / 250 ] simplifiying candidate # 1538416872.360 * [enter]simplify: Simplifying (* n 2) 1538416872.360 * * [misc]simplify: iters left: 2 (3 enodes) 1538416872.361 * * [misc]simplify: iters left: 1 (4 enodes) 1538416872.361 * [exit]simplify: Simplified to (* n 2) 1538416872.361 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1538416872.361 * * * * [misc]progress: [ 225 / 250 ] simplifiying candidate # 1538416872.361 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416872.361 * * [misc]simplify: iters left: 3 (6 enodes) 1538416872.362 * * [misc]simplify: iters left: 2 (7 enodes) 1538416872.363 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416872.363 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1538416872.363 * * * * [misc]progress: [ 226 / 250 ] simplifiying candidate # 1538416872.364 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416872.364 * * [misc]simplify: iters left: 5 (6 enodes) 1538416872.364 * * [misc]simplify: iters left: 4 (8 enodes) 1538416872.366 * * [misc]simplify: iters left: 3 (11 enodes) 1538416872.367 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416872.367 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1538416872.367 * * * * [misc]progress: [ 227 / 250 ] simplifiying candidate # 1538416872.367 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416872.367 * * [misc]simplify: iters left: 5 (6 enodes) 1538416872.368 * * [misc]simplify: iters left: 4 (8 enodes) 1538416872.369 * * [misc]simplify: iters left: 3 (11 enodes) 1538416872.371 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416872.371 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1538416872.371 * * * * [misc]progress: [ 228 / 250 ] simplifiying candidate # 1538416872.371 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416872.371 * * [misc]simplify: iters left: 4 (5 enodes) 1538416872.372 * * [misc]simplify: iters left: 3 (7 enodes) 1538416872.374 * * [misc]simplify: iters left: 2 (10 enodes) 1538416872.377 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416872.377 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1538416872.377 * * * * [misc]progress: [ 229 / 250 ] simplifiying candidate # 1538416872.378 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416872.378 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.380 * * [misc]simplify: iters left: 4 (10 enodes) 1538416872.383 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416872.383 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538416872.383 * * * * [misc]progress: [ 230 / 250 ] simplifiying candidate # 1538416872.383 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416872.383 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.385 * * [misc]simplify: iters left: 4 (10 enodes) 1538416872.388 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416872.388 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538416872.388 * * * * [misc]progress: [ 231 / 250 ] simplifiying candidate # 1538416872.388 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538416872.389 * * [misc]simplify: iters left: 5 (7 enodes) 1538416872.391 * * [misc]simplify: iters left: 4 (9 enodes) 1538416872.393 * * [misc]simplify: iters left: 3 (12 enodes) 1538416872.397 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538416872.397 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1538416872.397 * * * * [misc]progress: [ 232 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 233 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 234 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 235 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 236 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 237 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 238 / 250 ] simplifiying candidate # 1538416872.397 * * * * [misc]progress: [ 239 / 250 ] simplifiying candidate # 1538416872.398 * [enter]simplify: Simplifying (- (+ (pow PI 1/2) (* 1/8 (* (* (pow (log PI) 2) (pow k 2)) (sqrt PI)))) (* 1/2 (* (* (log PI) k) (sqrt PI)))) 1538416872.398 * * [misc]simplify: iters left: 6 (18 enodes) 1538416872.404 * * [misc]simplify: iters left: 5 (39 enodes) 1538416872.418 * * [misc]simplify: iters left: 4 (104 enodes) 1538416872.447 * * [misc]simplify: iters left: 3 (275 enodes) 1538416872.560 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1538416872.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416872.560 * * * * [misc]progress: [ 240 / 250 ] simplifiying candidate # 1538416872.561 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538416872.561 * * [misc]simplify: iters left: 5 (6 enodes) 1538416872.562 * * [misc]simplify: iters left: 4 (9 enodes) 1538416872.563 * * [misc]simplify: iters left: 3 (17 enodes) 1538416872.566 * * [misc]simplify: iters left: 2 (20 enodes) 1538416872.569 * * [misc]simplify: iters left: 1 (24 enodes) 1538416872.578 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1538416872.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416872.578 * * * * [misc]progress: [ 241 / 250 ] simplifiying candidate # 1538416872.578 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1538416872.578 * * [misc]simplify: iters left: 5 (6 enodes) 1538416872.580 * * [misc]simplify: iters left: 4 (9 enodes) 1538416872.583 * * [misc]simplify: iters left: 3 (17 enodes) 1538416872.587 * * [misc]simplify: iters left: 2 (20 enodes) 1538416872.592 * * [misc]simplify: iters left: 1 (24 enodes) 1538416872.602 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1538416872.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (* k 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416872.602 * * * * [misc]progress: [ 242 / 250 ] simplifiying candidate # 1538416872.602 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538416872.602 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416872.603 * * * * [misc]progress: [ 243 / 250 ] simplifiying candidate # 1538416872.604 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538416872.604 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416872.604 * * * * [misc]progress: [ 244 / 250 ] simplifiying candidate # 1538416872.604 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538416872.604 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416872.604 * * * * [misc]progress: [ 245 / 250 ] simplifiying candidate # 1538416872.604 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538416872.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538416872.605 * * * * [misc]progress: [ 246 / 250 ] simplifiying candidate # 1538416872.605 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538416872.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538416872.605 * * * * [misc]progress: [ 247 / 250 ] simplifiying candidate # 1538416872.605 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538416872.605 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1538416872.605 * * * * [misc]progress: [ 248 / 250 ] simplifiying candidate # 1538416872.606 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1538416872.606 * * [misc]simplify: iters left: 6 (35 enodes) 1538416872.620 * * [misc]simplify: iters left: 5 (99 enodes) 1538416872.649 * * [misc]simplify: iters left: 4 (298 enodes) 1538416872.843 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1538416872.843 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1538416872.844 * * * * [misc]progress: [ 249 / 250 ] simplifiying candidate # 1538416872.844 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538416872.844 * * [misc]simplify: iters left: 6 (13 enodes) 1538416872.849 * * [misc]simplify: iters left: 5 (27 enodes) 1538416872.857 * * [misc]simplify: iters left: 4 (53 enodes) 1538416872.875 * * [misc]simplify: iters left: 3 (116 enodes) 1538416872.938 * * [misc]simplify: iters left: 2 (362 enodes) 1538416873.195 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1538416873.195 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1538416873.195 * * * * [misc]progress: [ 250 / 250 ] simplifiying candidate # 1538416873.195 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538416873.195 * * [misc]simplify: iters left: 6 (13 enodes) 1538416873.200 * * [misc]simplify: iters left: 5 (24 enodes) 1538416873.208 * * [misc]simplify: iters left: 4 (54 enodes) 1538416873.219 * * [misc]simplify: iters left: 3 (143 enodes) 1538416873.291 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1538416873.291 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1538416873.291 * * * [misc]progress: adding candidates to table 1538416876.283 * * [misc]progress: iteration 3 / 4 1538416876.283 * * * [misc]progress: picking best candidate 1538416876.321 * * * * [misc]pick: Picked # 1538416876.321 * * * [misc]progress: localizing error 1538416876.340 * * * [misc]progress: generating rewritten candidates 1538416876.341 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1538416876.380 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538416876.386 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1538416876.388 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538416876.402 * * * [misc]progress: generating series expansions 1538416876.402 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1538416876.403 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) 1538416876.403 * [misc]approximate: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in (k n) around 0 1538416876.403 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.403 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.403 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.403 * [misc]taylor: Taking taylor expansion of k in n 1538416876.403 * [misc]backup-simplify: Simplify k into k 1538416876.403 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.403 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.403 * [misc]backup-simplify: Simplify 2 into 2 1538416876.403 * [misc]taylor: Taking taylor expansion of n in n 1538416876.403 * [misc]backup-simplify: Simplify 0 into 0 1538416876.403 * [misc]backup-simplify: Simplify 1 into 1 1538416876.403 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.403 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.403 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.403 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416876.404 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416876.404 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416876.404 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.404 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416876.404 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416876.404 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.404 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.404 * [misc]taylor: Taking taylor expansion of k in n 1538416876.404 * [misc]backup-simplify: Simplify k into k 1538416876.404 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.404 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.404 * [misc]backup-simplify: Simplify PI into PI 1538416876.405 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.405 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416876.405 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416876.405 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416876.405 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538416876.405 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538416876.405 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416876.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.405 * [misc]taylor: Taking taylor expansion of k in n 1538416876.405 * [misc]backup-simplify: Simplify k into k 1538416876.405 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.405 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416876.405 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.405 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416876.405 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.406 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.406 * [misc]taylor: Taking taylor expansion of k in k 1538416876.406 * [misc]backup-simplify: Simplify 0 into 0 1538416876.406 * [misc]backup-simplify: Simplify 1 into 1 1538416876.406 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.406 * [misc]backup-simplify: Simplify 2 into 2 1538416876.406 * [misc]taylor: Taking taylor expansion of n in k 1538416876.406 * [misc]backup-simplify: Simplify n into n 1538416876.406 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416876.406 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416876.406 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.406 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.406 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.406 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416876.406 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416876.406 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.406 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.406 * [misc]taylor: Taking taylor expansion of k in k 1538416876.406 * [misc]backup-simplify: Simplify 0 into 0 1538416876.406 * [misc]backup-simplify: Simplify 1 into 1 1538416876.406 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.406 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.406 * [misc]backup-simplify: Simplify PI into PI 1538416876.407 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.407 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.407 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.407 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.408 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.408 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416876.408 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416876.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.408 * [misc]taylor: Taking taylor expansion of k in k 1538416876.408 * [misc]backup-simplify: Simplify 0 into 0 1538416876.408 * [misc]backup-simplify: Simplify 1 into 1 1538416876.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.408 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.409 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.409 * [misc]taylor: Taking taylor expansion of (* (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) (sqrt (/ 1 k))) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.409 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.409 * [misc]taylor: Taking taylor expansion of k in k 1538416876.409 * [misc]backup-simplify: Simplify 0 into 0 1538416876.409 * [misc]backup-simplify: Simplify 1 into 1 1538416876.409 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416876.409 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.409 * [misc]backup-simplify: Simplify 2 into 2 1538416876.409 * [misc]taylor: Taking taylor expansion of n in k 1538416876.409 * [misc]backup-simplify: Simplify n into n 1538416876.409 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416876.409 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416876.409 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.409 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.409 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.409 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416876.410 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416876.410 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.410 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.410 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.410 * [misc]taylor: Taking taylor expansion of k in k 1538416876.410 * [misc]backup-simplify: Simplify 0 into 0 1538416876.410 * [misc]backup-simplify: Simplify 1 into 1 1538416876.410 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.410 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.410 * [misc]backup-simplify: Simplify PI into PI 1538416876.410 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.410 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.410 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.410 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.411 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.411 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416876.411 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416876.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.411 * [misc]taylor: Taking taylor expansion of k in k 1538416876.411 * [misc]backup-simplify: Simplify 0 into 0 1538416876.411 * [misc]backup-simplify: Simplify 1 into 1 1538416876.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.412 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.412 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.412 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1538416876.413 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1538416876.413 * [misc]taylor: Taking taylor expansion of 0 in n 1538416876.413 * [misc]backup-simplify: Simplify 0 into 0 1538416876.413 * [misc]backup-simplify: Simplify 0 into 0 1538416876.415 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416876.415 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416876.416 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.416 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.417 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416876.420 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538416876.420 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416876.421 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416876.421 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416876.421 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.421 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.422 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416876.422 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1538416876.423 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow PI 1/2))) into (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 1538416876.425 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1538416876.425 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1538416876.425 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416876.425 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.425 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.425 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416876.425 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.425 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.425 * [misc]backup-simplify: Simplify 2 into 2 1538416876.425 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.426 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.426 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416876.426 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416876.426 * [misc]taylor: Taking taylor expansion of n in n 1538416876.426 * [misc]backup-simplify: Simplify 0 into 0 1538416876.426 * [misc]backup-simplify: Simplify 1 into 1 1538416876.426 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.426 * [misc]backup-simplify: Simplify PI into PI 1538416876.426 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416876.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416876.427 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.427 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.427 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416876.428 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.428 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.428 * [misc]backup-simplify: Simplify 0 into 0 1538416876.428 * [misc]backup-simplify: Simplify 0 into 0 1538416876.428 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416876.429 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.433 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416876.434 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.434 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.434 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.435 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416876.440 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538416876.440 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538416876.441 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538416876.442 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.442 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.442 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.442 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538416876.444 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1538416876.447 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow PI 1/2)))) into (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 1538416876.451 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) 1538416876.451 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.451 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.451 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.451 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.451 * [misc]backup-simplify: Simplify 2 into 2 1538416876.451 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.452 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.452 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.452 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.452 * [misc]backup-simplify: Simplify PI into PI 1538416876.452 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.452 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.452 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.452 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.452 * [misc]backup-simplify: Simplify PI into PI 1538416876.452 * [misc]taylor: Taking taylor expansion of n in n 1538416876.452 * [misc]backup-simplify: Simplify 0 into 0 1538416876.452 * [misc]backup-simplify: Simplify 1 into 1 1538416876.452 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.453 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.453 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.454 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.454 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.454 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.454 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.454 * [misc]backup-simplify: Simplify 2 into 2 1538416876.454 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.454 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.454 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416876.454 * [misc]taylor: Taking taylor expansion of n in n 1538416876.454 * [misc]backup-simplify: Simplify 0 into 0 1538416876.454 * [misc]backup-simplify: Simplify 1 into 1 1538416876.454 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.454 * [misc]backup-simplify: Simplify PI into PI 1538416876.455 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416876.455 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416876.456 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.456 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.456 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538416876.456 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538416876.456 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.456 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.456 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538416876.456 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538416876.456 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.456 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.456 * [misc]backup-simplify: Simplify 2 into 2 1538416876.456 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.457 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.457 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.457 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.457 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.457 * [misc]backup-simplify: Simplify 2 into 2 1538416876.457 * [misc]taylor: Taking taylor expansion of n in n 1538416876.457 * [misc]backup-simplify: Simplify 0 into 0 1538416876.457 * [misc]backup-simplify: Simplify 1 into 1 1538416876.457 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.457 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.457 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.457 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.457 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.457 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.457 * [misc]backup-simplify: Simplify PI into PI 1538416876.457 * [misc]taylor: Taking taylor expansion of n in n 1538416876.457 * [misc]backup-simplify: Simplify 0 into 0 1538416876.458 * [misc]backup-simplify: Simplify 1 into 1 1538416876.458 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.458 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.459 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.459 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.460 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538416876.461 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538416876.461 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.461 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416876.461 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.462 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538416876.463 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.463 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.464 * [misc]backup-simplify: Simplify 0 into 0 1538416876.465 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.466 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.468 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.469 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.469 * [misc]backup-simplify: Simplify 0 into 0 1538416876.469 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.470 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416876.477 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416876.477 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416876.478 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.478 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.480 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416876.486 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538416876.487 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538416876.489 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538416876.490 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416876.490 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.490 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.491 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538416876.492 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) 1538416876.498 * [misc]backup-simplify: Simplify (+ (* (pow (* 2 n) 1/2) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (* (sqrt (* n 2)) (pow (log (* 2 n)) 3))) (pow PI 1/2))))) into (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 1538416876.507 * [misc]backup-simplify: Simplify (+ (* (sqrt (* PI (* n 2))) +nan.0) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) +nan.0) (+ (* (+ (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (* 1/4 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (log PI))))))) +nan.0) (* (- (+ (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt (* PI n)))) (+ (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt (* PI n)))) (* 1/16 (* (sqrt (* PI n)) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) 1538416876.507 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))))) in n 1538416876.507 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))))) in n 1538416876.507 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1538416876.507 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.508 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.508 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1538416876.508 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1538416876.508 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.508 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.508 * [misc]backup-simplify: Simplify 2 into 2 1538416876.508 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.508 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.508 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.508 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.508 * [misc]backup-simplify: Simplify PI into PI 1538416876.508 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.509 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.509 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.509 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.509 * [misc]backup-simplify: Simplify PI into PI 1538416876.509 * [misc]taylor: Taking taylor expansion of n in n 1538416876.509 * [misc]backup-simplify: Simplify 0 into 0 1538416876.509 * [misc]backup-simplify: Simplify 1 into 1 1538416876.509 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.510 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.510 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.510 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.510 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))))) in n 1538416876.510 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))))) in n 1538416876.510 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.511 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.511 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.511 * [misc]backup-simplify: Simplify 2 into 2 1538416876.511 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.511 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.511 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.511 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.511 * [misc]backup-simplify: Simplify PI into PI 1538416876.512 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.512 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.512 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.512 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.512 * [misc]backup-simplify: Simplify PI into PI 1538416876.512 * [misc]taylor: Taking taylor expansion of n in n 1538416876.512 * [misc]backup-simplify: Simplify 0 into 0 1538416876.512 * [misc]backup-simplify: Simplify 1 into 1 1538416876.512 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.513 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.513 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.513 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.513 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))))) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))))) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.514 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.514 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.514 * [misc]backup-simplify: Simplify 2 into 2 1538416876.514 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.514 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.514 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.514 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.515 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.515 * [misc]backup-simplify: Simplify 2 into 2 1538416876.515 * [misc]taylor: Taking taylor expansion of n in n 1538416876.515 * [misc]backup-simplify: Simplify 0 into 0 1538416876.515 * [misc]backup-simplify: Simplify 1 into 1 1538416876.515 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.515 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.515 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.516 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.516 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.516 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.516 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.516 * [misc]backup-simplify: Simplify PI into PI 1538416876.516 * [misc]taylor: Taking taylor expansion of n in n 1538416876.516 * [misc]backup-simplify: Simplify 0 into 0 1538416876.516 * [misc]backup-simplify: Simplify 1 into 1 1538416876.516 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.517 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.517 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.517 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.518 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))))) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))))) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.518 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.518 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.518 * [misc]backup-simplify: Simplify 2 into 2 1538416876.518 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.518 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.518 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.518 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.518 * [misc]backup-simplify: Simplify 2 into 2 1538416876.518 * [misc]taylor: Taking taylor expansion of n in n 1538416876.518 * [misc]backup-simplify: Simplify 0 into 0 1538416876.518 * [misc]backup-simplify: Simplify 1 into 1 1538416876.519 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.519 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.519 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.519 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.519 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.519 * [misc]backup-simplify: Simplify PI into PI 1538416876.519 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.519 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416876.519 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416876.519 * [misc]taylor: Taking taylor expansion of n in n 1538416876.519 * [misc]backup-simplify: Simplify 0 into 0 1538416876.519 * [misc]backup-simplify: Simplify 1 into 1 1538416876.520 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.520 * [misc]backup-simplify: Simplify PI into PI 1538416876.520 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416876.520 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416876.521 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.521 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.521 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))))) in n 1538416876.521 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) in n 1538416876.521 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1538416876.521 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.521 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.521 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1538416876.521 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.521 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.521 * [misc]backup-simplify: Simplify 2 into 2 1538416876.521 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.522 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.522 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1538416876.522 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1538416876.522 * [misc]taylor: Taking taylor expansion of n in n 1538416876.522 * [misc]backup-simplify: Simplify 0 into 0 1538416876.522 * [misc]backup-simplify: Simplify 1 into 1 1538416876.522 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.522 * [misc]backup-simplify: Simplify PI into PI 1538416876.522 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1538416876.523 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1538416876.523 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.523 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.523 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1538416876.523 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1538416876.523 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.523 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.523 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1538416876.523 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1538416876.524 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.524 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.524 * [misc]backup-simplify: Simplify 2 into 2 1538416876.524 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.524 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.524 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.524 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.524 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.524 * [misc]backup-simplify: Simplify 2 into 2 1538416876.524 * [misc]taylor: Taking taylor expansion of n in n 1538416876.524 * [misc]backup-simplify: Simplify 0 into 0 1538416876.524 * [misc]backup-simplify: Simplify 1 into 1 1538416876.524 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.525 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.525 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.525 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1538416876.525 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1538416876.525 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.525 * [misc]backup-simplify: Simplify PI into PI 1538416876.525 * [misc]taylor: Taking taylor expansion of n in n 1538416876.525 * [misc]backup-simplify: Simplify 0 into 0 1538416876.525 * [misc]backup-simplify: Simplify 1 into 1 1538416876.525 * [misc]backup-simplify: Simplify (* PI 0) into 0 1538416876.526 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1538416876.526 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.526 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1538416876.527 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1538416876.528 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1538416876.528 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.529 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538416876.530 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1538416876.531 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1538416876.531 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.532 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.532 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.532 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538416876.533 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1538416876.533 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1538416876.534 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.534 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.534 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1538416876.535 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1538416876.536 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1538416876.536 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.536 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416876.536 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.537 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.537 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1538416876.537 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1538416876.537 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416876.538 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.538 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.538 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.540 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.540 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.540 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.540 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.541 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.541 * [misc]backup-simplify: Simplify 0 into 0 1538416876.543 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416876.544 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1538416876.546 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538416876.549 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1538416876.550 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.552 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1538416876.552 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.554 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.555 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.555 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416876.556 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (sqrt 2)) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416876.558 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416876.560 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI)))))) 1538416876.563 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) PI))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (log 2) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538416876.566 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1538416876.572 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416876.579 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416876.585 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) 1538416876.587 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1538416876.588 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1538416876.589 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416876.592 * [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)))) 1538416876.596 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416876.598 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416876.599 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1538416876.608 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (+ (* +nan.0 (* (sqrt 2) (* (log PI) PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (* (sqrt 2) PI))))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) PI))) (* n 1)))) into (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538416876.609 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) 1538416876.610 * [misc]approximate: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in (k n) around 0 1538416876.610 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.610 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.610 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.610 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of k in n 1538416876.610 * [misc]backup-simplify: Simplify k into k 1538416876.610 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.610 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.610 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.610 * [misc]backup-simplify: Simplify PI into PI 1538416876.610 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.610 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.611 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.611 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.611 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416876.611 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.611 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.611 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.612 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.612 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.612 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of k in n 1538416876.612 * [misc]backup-simplify: Simplify k into k 1538416876.612 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.612 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.612 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.612 * [misc]backup-simplify: Simplify 2 into 2 1538416876.612 * [misc]taylor: Taking taylor expansion of n in n 1538416876.612 * [misc]backup-simplify: Simplify 0 into 0 1538416876.612 * [misc]backup-simplify: Simplify 1 into 1 1538416876.612 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.612 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.612 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.613 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.613 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.613 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.613 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.614 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.614 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416876.614 * [misc]taylor: Taking taylor expansion of k in n 1538416876.614 * [misc]backup-simplify: Simplify k into k 1538416876.614 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416876.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416876.614 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.614 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.614 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.614 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.614 * [misc]taylor: Taking taylor expansion of k in k 1538416876.614 * [misc]backup-simplify: Simplify 0 into 0 1538416876.614 * [misc]backup-simplify: Simplify 1 into 1 1538416876.614 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.615 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.615 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.615 * [misc]backup-simplify: Simplify PI into PI 1538416876.615 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.615 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.615 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.615 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.616 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416876.616 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.616 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.616 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.616 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.616 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.616 * [misc]taylor: Taking taylor expansion of k in k 1538416876.617 * [misc]backup-simplify: Simplify 0 into 0 1538416876.617 * [misc]backup-simplify: Simplify 1 into 1 1538416876.617 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.617 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416876.617 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416876.617 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.617 * [misc]backup-simplify: Simplify 2 into 2 1538416876.617 * [misc]taylor: Taking taylor expansion of n in k 1538416876.617 * [misc]backup-simplify: Simplify n into n 1538416876.617 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416876.617 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416876.617 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.617 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.617 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.618 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416876.618 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.618 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416876.618 * [misc]taylor: Taking taylor expansion of k in k 1538416876.618 * [misc]backup-simplify: Simplify 0 into 0 1538416876.618 * [misc]backup-simplify: Simplify 1 into 1 1538416876.618 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.618 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.619 * [misc]taylor: Taking taylor expansion of (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt k)) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.619 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.619 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.619 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of k in k 1538416876.619 * [misc]backup-simplify: Simplify 0 into 0 1538416876.619 * [misc]backup-simplify: Simplify 1 into 1 1538416876.619 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.619 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.619 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.619 * [misc]backup-simplify: Simplify PI into PI 1538416876.619 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.620 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.620 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.620 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.620 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416876.621 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.621 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.621 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.621 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.621 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.621 * [misc]taylor: Taking taylor expansion of k in k 1538416876.621 * [misc]backup-simplify: Simplify 0 into 0 1538416876.621 * [misc]backup-simplify: Simplify 1 into 1 1538416876.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.622 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416876.622 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416876.622 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.622 * [misc]backup-simplify: Simplify 2 into 2 1538416876.622 * [misc]taylor: Taking taylor expansion of n in k 1538416876.622 * [misc]backup-simplify: Simplify n into n 1538416876.622 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416876.622 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416876.622 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.622 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.622 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.622 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416876.623 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.623 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416876.623 * [misc]taylor: Taking taylor expansion of k in k 1538416876.623 * [misc]backup-simplify: Simplify 0 into 0 1538416876.623 * [misc]backup-simplify: Simplify 1 into 1 1538416876.623 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.623 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.624 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416876.624 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538416876.624 * [misc]taylor: Taking taylor expansion of 0 in n 1538416876.624 * [misc]backup-simplify: Simplify 0 into 0 1538416876.624 * [misc]backup-simplify: Simplify 0 into 0 1538416876.624 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416876.625 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.625 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.625 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.625 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.625 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.625 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.625 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.625 * [misc]taylor: Taking taylor expansion of k in n 1538416876.625 * [misc]backup-simplify: Simplify k into k 1538416876.625 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.626 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.626 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.626 * [misc]backup-simplify: Simplify PI into PI 1538416876.626 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.626 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.626 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.626 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.626 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416876.627 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.627 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.627 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.627 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.627 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of k in n 1538416876.627 * [misc]backup-simplify: Simplify k into k 1538416876.627 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.627 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.627 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.627 * [misc]backup-simplify: Simplify 2 into 2 1538416876.627 * [misc]taylor: Taking taylor expansion of n in n 1538416876.627 * [misc]backup-simplify: Simplify 0 into 0 1538416876.627 * [misc]backup-simplify: Simplify 1 into 1 1538416876.628 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.628 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.628 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.628 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.628 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.628 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.629 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.629 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.629 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.630 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416876.630 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.631 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.631 * [misc]backup-simplify: Simplify 0 into 0 1538416876.632 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.633 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416876.633 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.633 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.633 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.633 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.633 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.633 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.633 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of k in n 1538416876.634 * [misc]backup-simplify: Simplify k into k 1538416876.634 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.634 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.634 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.634 * [misc]backup-simplify: Simplify PI into PI 1538416876.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.634 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.634 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.635 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.635 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416876.635 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.635 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.635 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.635 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.635 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.635 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.635 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.635 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.636 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.636 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.636 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.636 * [misc]taylor: Taking taylor expansion of k in n 1538416876.636 * [misc]backup-simplify: Simplify k into k 1538416876.636 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.636 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.636 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.636 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.636 * [misc]backup-simplify: Simplify 2 into 2 1538416876.636 * [misc]taylor: Taking taylor expansion of n in n 1538416876.636 * [misc]backup-simplify: Simplify 0 into 0 1538416876.636 * [misc]backup-simplify: Simplify 1 into 1 1538416876.636 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.636 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.636 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.636 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.636 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.637 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.637 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.637 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.638 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.638 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416876.639 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.639 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.640 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416876.642 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.642 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.643 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.643 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.643 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.643 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.644 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416876.645 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.647 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416876.647 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.647 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.648 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.648 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.648 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538416876.649 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.649 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into 0 1538416876.650 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538416876.650 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.650 * [misc]backup-simplify: Simplify 0 into 0 1538416876.650 * [misc]backup-simplify: Simplify 0 into 0 1538416876.651 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416876.651 * [misc]backup-simplify: Simplify (+ (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416876.651 * [misc]backup-simplify: Simplify (+ (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.651 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.651 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.651 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.651 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.651 * [misc]taylor: Taking taylor expansion of (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.651 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.651 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.652 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.652 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.652 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of k in n 1538416876.652 * [misc]backup-simplify: Simplify k into k 1538416876.652 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.652 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.652 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.652 * [misc]backup-simplify: Simplify PI into PI 1538416876.652 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.652 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.652 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.652 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.652 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416876.652 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.653 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.653 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.653 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.653 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of k in n 1538416876.653 * [misc]backup-simplify: Simplify k into k 1538416876.653 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.653 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.653 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.653 * [misc]backup-simplify: Simplify 2 into 2 1538416876.653 * [misc]taylor: Taking taylor expansion of n in n 1538416876.653 * [misc]backup-simplify: Simplify 0 into 0 1538416876.653 * [misc]backup-simplify: Simplify 1 into 1 1538416876.653 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.653 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.653 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.653 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.653 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.653 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.654 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.654 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.654 * [misc]backup-simplify: Simplify (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.654 * [misc]backup-simplify: Simplify (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1538416876.655 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.655 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.656 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538416876.657 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538416876.657 * [misc]approximate: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in (k n) around 0 1538416876.657 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.657 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of k in n 1538416876.657 * [misc]backup-simplify: Simplify k into k 1538416876.657 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.657 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.657 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.657 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.657 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.657 * [misc]backup-simplify: Simplify -2 into -2 1538416876.657 * [misc]taylor: Taking taylor expansion of n in n 1538416876.657 * [misc]backup-simplify: Simplify 0 into 0 1538416876.657 * [misc]backup-simplify: Simplify 1 into 1 1538416876.657 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.657 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.657 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.658 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.658 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.658 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.658 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.658 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.658 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of k in n 1538416876.658 * [misc]backup-simplify: Simplify k into k 1538416876.658 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.658 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.658 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.658 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.658 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.658 * [misc]backup-simplify: Simplify PI into PI 1538416876.659 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.659 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.659 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.659 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416876.659 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.659 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416876.659 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416876.659 * [misc]taylor: Taking taylor expansion of -1 in n 1538416876.659 * [misc]backup-simplify: Simplify -1 into -1 1538416876.659 * [misc]taylor: Taking taylor expansion of k in n 1538416876.659 * [misc]backup-simplify: Simplify k into k 1538416876.659 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416876.659 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416876.659 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416876.659 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416876.660 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.660 * [misc]backup-simplify: Simplify (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) into (/ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) 1538416876.660 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.660 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of k in k 1538416876.660 * [misc]backup-simplify: Simplify 0 into 0 1538416876.660 * [misc]backup-simplify: Simplify 1 into 1 1538416876.660 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.660 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.660 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.660 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416876.660 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.660 * [misc]backup-simplify: Simplify -2 into -2 1538416876.660 * [misc]taylor: Taking taylor expansion of n in k 1538416876.660 * [misc]backup-simplify: Simplify n into n 1538416876.661 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416876.661 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416876.661 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.661 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.661 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416876.661 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.661 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.661 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of k in k 1538416876.661 * [misc]backup-simplify: Simplify 0 into 0 1538416876.661 * [misc]backup-simplify: Simplify 1 into 1 1538416876.661 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.661 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.661 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.661 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.661 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.661 * [misc]backup-simplify: Simplify PI into PI 1538416876.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.662 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.662 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.662 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.662 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.662 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416876.662 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416876.662 * [misc]taylor: Taking taylor expansion of -1 in k 1538416876.662 * [misc]backup-simplify: Simplify -1 into -1 1538416876.662 * [misc]taylor: Taking taylor expansion of k in k 1538416876.662 * [misc]backup-simplify: Simplify 0 into 0 1538416876.662 * [misc]backup-simplify: Simplify 1 into 1 1538416876.662 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416876.663 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.663 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416876.663 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.663 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.663 * [misc]taylor: Taking taylor expansion of (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k))) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.663 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.663 * [misc]taylor: Taking taylor expansion of k in k 1538416876.663 * [misc]backup-simplify: Simplify 0 into 0 1538416876.663 * [misc]backup-simplify: Simplify 1 into 1 1538416876.663 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.663 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.663 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.664 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.664 * [misc]backup-simplify: Simplify -2 into -2 1538416876.664 * [misc]taylor: Taking taylor expansion of n in k 1538416876.664 * [misc]backup-simplify: Simplify n into n 1538416876.664 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416876.664 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416876.664 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.664 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.664 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416876.664 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.664 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.664 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of k in k 1538416876.664 * [misc]backup-simplify: Simplify 0 into 0 1538416876.664 * [misc]backup-simplify: Simplify 1 into 1 1538416876.664 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.664 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.664 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.664 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.664 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.664 * [misc]backup-simplify: Simplify PI into PI 1538416876.665 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.665 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.665 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.665 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.665 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.665 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416876.665 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416876.665 * [misc]taylor: Taking taylor expansion of -1 in k 1538416876.665 * [misc]backup-simplify: Simplify -1 into -1 1538416876.665 * [misc]taylor: Taking taylor expansion of k in k 1538416876.665 * [misc]backup-simplify: Simplify 0 into 0 1538416876.665 * [misc]backup-simplify: Simplify 1 into 1 1538416876.666 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416876.666 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.666 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416876.666 * [misc]backup-simplify: Simplify (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.666 * [misc]backup-simplify: Simplify (/ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) +nan.0) into (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.666 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.666 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.666 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.666 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.666 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.666 * [misc]taylor: Taking taylor expansion of k in n 1538416876.666 * [misc]backup-simplify: Simplify k into k 1538416876.667 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.667 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.667 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.667 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.667 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.667 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.667 * [misc]backup-simplify: Simplify -2 into -2 1538416876.667 * [misc]taylor: Taking taylor expansion of n in n 1538416876.667 * [misc]backup-simplify: Simplify 0 into 0 1538416876.667 * [misc]backup-simplify: Simplify 1 into 1 1538416876.667 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.667 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.667 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.667 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.667 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.667 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.668 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.668 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.668 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of k in n 1538416876.668 * [misc]backup-simplify: Simplify k into k 1538416876.668 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.668 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.668 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.668 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.668 * [misc]backup-simplify: Simplify PI into PI 1538416876.668 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.668 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.668 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.668 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416876.669 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.669 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.669 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.669 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.670 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416876.670 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416876.670 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.671 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.671 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.671 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.671 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.671 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of k in n 1538416876.671 * [misc]backup-simplify: Simplify k into k 1538416876.671 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.671 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.671 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.671 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.671 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.671 * [misc]backup-simplify: Simplify -2 into -2 1538416876.671 * [misc]taylor: Taking taylor expansion of n in n 1538416876.671 * [misc]backup-simplify: Simplify 0 into 0 1538416876.671 * [misc]backup-simplify: Simplify 1 into 1 1538416876.671 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.672 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.672 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.672 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.672 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.672 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.673 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.673 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.673 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of k in n 1538416876.673 * [misc]backup-simplify: Simplify k into k 1538416876.673 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.673 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.673 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.673 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.673 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.673 * [misc]backup-simplify: Simplify PI into PI 1538416876.673 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.673 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.673 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.673 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416876.674 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.674 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.674 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.674 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.675 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.677 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416876.677 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.678 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538416876.679 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.680 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416876.683 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416876.683 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.684 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.684 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.684 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416876.686 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.686 * [misc]backup-simplify: Simplify (+ (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416876.687 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416876.687 * [misc]backup-simplify: Simplify 0 into 0 1538416876.687 * [misc]backup-simplify: Simplify (+ (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416876.688 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.689 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416876.690 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.690 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.690 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.690 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.690 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.690 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.690 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.691 * [misc]taylor: Taking taylor expansion of k in n 1538416876.691 * [misc]backup-simplify: Simplify k into k 1538416876.691 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.691 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.691 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.691 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.691 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.691 * [misc]backup-simplify: Simplify -2 into -2 1538416876.691 * [misc]taylor: Taking taylor expansion of n in n 1538416876.691 * [misc]backup-simplify: Simplify 0 into 0 1538416876.691 * [misc]backup-simplify: Simplify 1 into 1 1538416876.691 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.691 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.691 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.691 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.692 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.692 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.692 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.692 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.692 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416876.692 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416876.693 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.693 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.693 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.693 * [misc]taylor: Taking taylor expansion of k in n 1538416876.693 * [misc]backup-simplify: Simplify k into k 1538416876.693 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.693 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.693 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.693 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416876.693 * [misc]taylor: Taking taylor expansion of PI in n 1538416876.693 * [misc]backup-simplify: Simplify PI into PI 1538416876.693 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.693 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.693 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.694 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416876.694 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.694 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.695 * [misc]backup-simplify: Simplify (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416876.695 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.696 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.698 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (* +nan.0 (* (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)))))) into (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538416876.698 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538416876.699 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1538416876.699 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1538416876.699 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.699 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.699 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.699 * [misc]taylor: Taking taylor expansion of k in n 1538416876.699 * [misc]backup-simplify: Simplify k into k 1538416876.699 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.699 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.699 * [misc]backup-simplify: Simplify 2 into 2 1538416876.699 * [misc]taylor: Taking taylor expansion of n in n 1538416876.699 * [misc]backup-simplify: Simplify 0 into 0 1538416876.699 * [misc]backup-simplify: Simplify 1 into 1 1538416876.699 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.700 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.700 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.700 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416876.700 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416876.700 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416876.700 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.700 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416876.700 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416876.701 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) into (/ 1 (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))))) 1538416876.701 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1538416876.701 * [misc]taylor: Taking taylor expansion of k in n 1538416876.701 * [misc]backup-simplify: Simplify k into k 1538416876.701 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1538416876.701 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1538416876.701 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.701 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.701 * [misc]taylor: Taking taylor expansion of k in k 1538416876.701 * [misc]backup-simplify: Simplify 0 into 0 1538416876.701 * [misc]backup-simplify: Simplify 1 into 1 1538416876.701 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416876.701 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.701 * [misc]backup-simplify: Simplify 2 into 2 1538416876.701 * [misc]taylor: Taking taylor expansion of n in k 1538416876.701 * [misc]backup-simplify: Simplify n into n 1538416876.701 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416876.701 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416876.701 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.701 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.701 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.701 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416876.702 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416876.702 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538416876.702 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of k in k 1538416876.702 * [misc]backup-simplify: Simplify 0 into 0 1538416876.702 * [misc]backup-simplify: Simplify 1 into 1 1538416876.702 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.702 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.702 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.702 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.702 * [misc]taylor: Taking taylor expansion of k in k 1538416876.702 * [misc]backup-simplify: Simplify 0 into 0 1538416876.702 * [misc]backup-simplify: Simplify 1 into 1 1538416876.702 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416876.702 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.702 * [misc]backup-simplify: Simplify 2 into 2 1538416876.702 * [misc]taylor: Taking taylor expansion of n in k 1538416876.702 * [misc]backup-simplify: Simplify n into n 1538416876.702 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416876.703 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416876.703 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.703 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.703 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.703 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416876.703 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416876.703 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1538416876.703 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1538416876.703 * [misc]taylor: Taking taylor expansion of k in k 1538416876.703 * [misc]backup-simplify: Simplify 0 into 0 1538416876.703 * [misc]backup-simplify: Simplify 1 into 1 1538416876.703 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.703 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.704 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1538416876.704 * [misc]taylor: Taking taylor expansion of 0 in n 1538416876.704 * [misc]backup-simplify: Simplify 0 into 0 1538416876.704 * [misc]backup-simplify: Simplify 0 into 0 1538416876.704 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416876.704 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416876.704 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416876.705 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.705 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.705 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416876.705 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) 1538416876.705 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 1538416876.706 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) 1538416876.706 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538416876.706 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538416876.706 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.706 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.706 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538416876.706 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416876.706 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416876.706 * [misc]taylor: Taking taylor expansion of n in n 1538416876.706 * [misc]backup-simplify: Simplify 0 into 0 1538416876.706 * [misc]backup-simplify: Simplify 1 into 1 1538416876.706 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.707 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.707 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416876.707 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.707 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.707 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416876.707 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416876.707 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.707 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538416876.708 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538416876.708 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.709 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.709 * [misc]backup-simplify: Simplify 0 into 0 1538416876.710 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.710 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538416876.711 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538416876.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.711 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.711 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.711 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538416876.712 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 n)))) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) 1538416876.713 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* n 2))) (/ (* 1/8 (* (sqrt (* n 2)) (pow (log (* 2 n)) 2))) (pow (* 2 n) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (/ (* -1/2 (* (sqrt (* n 2)) (log (* 2 n)))) (pow (* 2 n) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 1538416876.715 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* n 2))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 n)))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) 1538416876.715 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))))) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))))) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.715 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.715 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416876.715 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.715 * [misc]backup-simplify: Simplify 2 into 2 1538416876.715 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416876.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416876.716 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.716 * [misc]backup-simplify: Simplify 2 into 2 1538416876.716 * [misc]taylor: Taking taylor expansion of n in n 1538416876.716 * [misc]backup-simplify: Simplify 0 into 0 1538416876.716 * [misc]backup-simplify: Simplify 1 into 1 1538416876.716 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.716 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.716 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.716 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.716 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.716 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416876.716 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416876.716 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416876.716 * [misc]taylor: Taking taylor expansion of n in n 1538416876.716 * [misc]backup-simplify: Simplify 0 into 0 1538416876.716 * [misc]backup-simplify: Simplify 1 into 1 1538416876.716 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.717 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.717 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1538416876.717 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1538416876.717 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.717 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.717 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1538416876.717 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416876.717 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416876.717 * [misc]taylor: Taking taylor expansion of n in n 1538416876.717 * [misc]backup-simplify: Simplify 0 into 0 1538416876.717 * [misc]backup-simplify: Simplify 1 into 1 1538416876.717 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.717 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.718 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.718 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1538416876.718 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.718 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.718 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1538416876.718 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1538416876.718 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.718 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1538416876.719 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1538416876.719 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2))) into (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 1538416876.719 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.720 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1538416876.720 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.721 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.722 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1538416876.722 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1538416876.723 * [misc]backup-simplify: Simplify (+ (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) +nan.0) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538416876.724 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1538416876.725 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))) (* 0 0)) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) 1538416876.726 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.726 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1538416876.727 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1538416876.727 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.729 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))) (- (* +nan.0 (sqrt 1/2)))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))))))))) 1538416876.731 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (sqrt 1/2)) (- (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538416876.733 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) into (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) 1538416876.734 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1538416876.734 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416876.735 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.736 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.736 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (+ (* 0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.737 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.737 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1538416876.740 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt 1/2))) (* n k)) (+ (* (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (pow (sqrt 1/2) 2)))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n)))) (- (* +nan.0 (sqrt 1/2))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (sqrt 1/2))) (* 1 k)))) into (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538416876.740 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1538416876.741 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1538416876.741 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.741 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of k in n 1538416876.741 * [misc]backup-simplify: Simplify k into k 1538416876.741 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.741 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.741 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.741 * [misc]backup-simplify: Simplify 2 into 2 1538416876.741 * [misc]taylor: Taking taylor expansion of n in n 1538416876.741 * [misc]backup-simplify: Simplify 0 into 0 1538416876.741 * [misc]backup-simplify: Simplify 1 into 1 1538416876.741 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.741 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.741 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.741 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.741 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.742 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.742 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.742 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.742 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.742 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1538416876.742 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.742 * [misc]taylor: Taking taylor expansion of k in n 1538416876.742 * [misc]backup-simplify: Simplify k into k 1538416876.742 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.742 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1538416876.742 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.742 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1538416876.742 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538416876.742 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416876.742 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.742 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416876.742 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of k in k 1538416876.743 * [misc]backup-simplify: Simplify 0 into 0 1538416876.743 * [misc]backup-simplify: Simplify 1 into 1 1538416876.743 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.743 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416876.743 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.743 * [misc]backup-simplify: Simplify 2 into 2 1538416876.743 * [misc]taylor: Taking taylor expansion of n in k 1538416876.743 * [misc]backup-simplify: Simplify n into n 1538416876.743 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416876.743 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416876.743 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.743 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.743 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.743 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416876.743 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.743 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416876.744 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of k in k 1538416876.744 * [misc]backup-simplify: Simplify 0 into 0 1538416876.744 * [misc]backup-simplify: Simplify 1 into 1 1538416876.744 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.744 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.744 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.744 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.744 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.744 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.744 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.744 * [misc]taylor: Taking taylor expansion of k in k 1538416876.744 * [misc]backup-simplify: Simplify 0 into 0 1538416876.744 * [misc]backup-simplify: Simplify 1 into 1 1538416876.745 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.745 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416876.745 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416876.745 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.745 * [misc]backup-simplify: Simplify 2 into 2 1538416876.745 * [misc]taylor: Taking taylor expansion of n in k 1538416876.745 * [misc]backup-simplify: Simplify n into n 1538416876.745 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416876.745 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416876.745 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.745 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.745 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.745 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416876.745 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.745 * [misc]backup-simplify: Simplify (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 1538416876.745 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1538416876.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.745 * [misc]taylor: Taking taylor expansion of k in k 1538416876.745 * [misc]backup-simplify: Simplify 0 into 0 1538416876.745 * [misc]backup-simplify: Simplify 1 into 1 1538416876.745 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.746 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.746 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416876.746 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1538416876.746 * [misc]taylor: Taking taylor expansion of 0 in n 1538416876.746 * [misc]backup-simplify: Simplify 0 into 0 1538416876.746 * [misc]backup-simplify: Simplify 0 into 0 1538416876.746 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416876.746 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.747 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.747 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.747 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of k in n 1538416876.747 * [misc]backup-simplify: Simplify k into k 1538416876.747 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.747 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.747 * [misc]backup-simplify: Simplify 2 into 2 1538416876.747 * [misc]taylor: Taking taylor expansion of n in n 1538416876.747 * [misc]backup-simplify: Simplify 0 into 0 1538416876.747 * [misc]backup-simplify: Simplify 1 into 1 1538416876.747 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.747 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.747 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.747 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.747 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.748 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.748 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.748 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.748 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.748 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.749 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.749 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.749 * [misc]backup-simplify: Simplify 0 into 0 1538416876.749 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416876.750 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.750 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416876.750 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.750 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.750 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.750 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.750 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.751 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.751 * [misc]taylor: Taking taylor expansion of k in n 1538416876.751 * [misc]backup-simplify: Simplify k into k 1538416876.751 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.751 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.751 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.751 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.751 * [misc]backup-simplify: Simplify 2 into 2 1538416876.751 * [misc]taylor: Taking taylor expansion of n in n 1538416876.751 * [misc]backup-simplify: Simplify 0 into 0 1538416876.751 * [misc]backup-simplify: Simplify 1 into 1 1538416876.751 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.751 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.751 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.751 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.751 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.751 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.752 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.752 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.752 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.752 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.752 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.753 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.753 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416876.754 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.754 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.755 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.755 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.755 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416876.756 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.756 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1538416876.757 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1538416876.757 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.757 * [misc]backup-simplify: Simplify 0 into 0 1538416876.757 * [misc]backup-simplify: Simplify 0 into 0 1538416876.757 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.758 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416876.758 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416876.758 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) 1538416876.758 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.758 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.758 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.758 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.759 * [misc]taylor: Taking taylor expansion of k in n 1538416876.759 * [misc]backup-simplify: Simplify k into k 1538416876.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.759 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.759 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.759 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.759 * [misc]backup-simplify: Simplify 2 into 2 1538416876.759 * [misc]taylor: Taking taylor expansion of n in n 1538416876.759 * [misc]backup-simplify: Simplify 0 into 0 1538416876.759 * [misc]backup-simplify: Simplify 1 into 1 1538416876.759 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.759 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.759 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.759 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.759 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.760 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.760 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.760 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.760 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))) 1538416876.760 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.761 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) 1538416876.762 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538416876.762 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.762 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1538416876.762 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of -1 in n 1538416876.762 * [misc]backup-simplify: Simplify -1 into -1 1538416876.762 * [misc]taylor: Taking taylor expansion of k in n 1538416876.762 * [misc]backup-simplify: Simplify k into k 1538416876.762 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416876.762 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416876.762 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416876.762 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416876.762 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.762 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of k in n 1538416876.762 * [misc]backup-simplify: Simplify k into k 1538416876.762 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.762 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.762 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.762 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.762 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.762 * [misc]backup-simplify: Simplify -2 into -2 1538416876.762 * [misc]taylor: Taking taylor expansion of n in n 1538416876.762 * [misc]backup-simplify: Simplify 0 into 0 1538416876.762 * [misc]backup-simplify: Simplify 1 into 1 1538416876.763 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.763 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.763 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.763 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.763 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.763 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.763 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.764 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.764 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of -1 in k 1538416876.764 * [misc]backup-simplify: Simplify -1 into -1 1538416876.764 * [misc]taylor: Taking taylor expansion of k in k 1538416876.764 * [misc]backup-simplify: Simplify 0 into 0 1538416876.764 * [misc]backup-simplify: Simplify 1 into 1 1538416876.764 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416876.764 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.764 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416876.764 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.764 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.764 * [misc]taylor: Taking taylor expansion of k in k 1538416876.764 * [misc]backup-simplify: Simplify 0 into 0 1538416876.764 * [misc]backup-simplify: Simplify 1 into 1 1538416876.765 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.765 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.765 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416876.765 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416876.765 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.765 * [misc]backup-simplify: Simplify -2 into -2 1538416876.765 * [misc]taylor: Taking taylor expansion of n in k 1538416876.765 * [misc]backup-simplify: Simplify n into n 1538416876.765 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416876.765 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416876.765 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.765 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.765 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416876.765 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.765 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.765 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416876.765 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416876.765 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416876.765 * [misc]taylor: Taking taylor expansion of -1 in k 1538416876.765 * [misc]backup-simplify: Simplify -1 into -1 1538416876.765 * [misc]taylor: Taking taylor expansion of k in k 1538416876.765 * [misc]backup-simplify: Simplify 0 into 0 1538416876.765 * [misc]backup-simplify: Simplify 1 into 1 1538416876.765 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416876.766 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416876.766 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416876.766 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.766 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of k in k 1538416876.766 * [misc]backup-simplify: Simplify 0 into 0 1538416876.766 * [misc]backup-simplify: Simplify 1 into 1 1538416876.766 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.766 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.766 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.766 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416876.766 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.766 * [misc]backup-simplify: Simplify -2 into -2 1538416876.766 * [misc]taylor: Taking taylor expansion of n in k 1538416876.766 * [misc]backup-simplify: Simplify n into n 1538416876.766 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416876.766 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416876.766 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.767 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.767 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416876.767 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.767 * [misc]backup-simplify: Simplify (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) into (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) 1538416876.767 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.767 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.767 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.767 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of k in n 1538416876.767 * [misc]backup-simplify: Simplify k into k 1538416876.767 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.767 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.767 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.767 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.767 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.767 * [misc]backup-simplify: Simplify -2 into -2 1538416876.767 * [misc]taylor: Taking taylor expansion of n in n 1538416876.767 * [misc]backup-simplify: Simplify 0 into 0 1538416876.767 * [misc]backup-simplify: Simplify 1 into 1 1538416876.767 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.767 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.768 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.768 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.768 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.768 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.768 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.768 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.769 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.769 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416876.770 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416876.770 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.770 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.770 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.770 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.770 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of k in n 1538416876.770 * [misc]backup-simplify: Simplify k into k 1538416876.770 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.770 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.770 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.770 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.770 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.770 * [misc]backup-simplify: Simplify -2 into -2 1538416876.770 * [misc]taylor: Taking taylor expansion of n in n 1538416876.770 * [misc]backup-simplify: Simplify 0 into 0 1538416876.770 * [misc]backup-simplify: Simplify 1 into 1 1538416876.770 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.770 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.771 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.771 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.771 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.771 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.771 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.772 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.772 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416876.772 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416876.772 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416876.774 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416876.774 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.774 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.774 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.774 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.774 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416876.775 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.776 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))))) into 0 1538416876.776 * [misc]backup-simplify: Simplify 0 into 0 1538416876.777 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.778 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416876.779 * [misc]backup-simplify: Simplify (- (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (+ (* (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) (* (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ 0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416876.779 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416876.779 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416876.779 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.779 * [misc]taylor: Taking taylor expansion of k in n 1538416876.779 * [misc]backup-simplify: Simplify k into k 1538416876.779 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.779 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.780 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.780 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.780 * [misc]backup-simplify: Simplify -2 into -2 1538416876.780 * [misc]taylor: Taking taylor expansion of n in n 1538416876.780 * [misc]backup-simplify: Simplify 0 into 0 1538416876.780 * [misc]backup-simplify: Simplify 1 into 1 1538416876.780 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.780 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.780 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.780 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.781 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.781 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.781 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.781 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.782 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))) 1538416876.782 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416876.783 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))))))) 1538416876.784 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538416876.784 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1538416876.784 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1538416876.785 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1538416876.785 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.785 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.785 * [misc]taylor: Taking taylor expansion of k in k 1538416876.785 * [misc]backup-simplify: Simplify 0 into 0 1538416876.785 * [misc]backup-simplify: Simplify 1 into 1 1538416876.785 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416876.785 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.785 * [misc]backup-simplify: Simplify 2 into 2 1538416876.785 * [misc]taylor: Taking taylor expansion of n in k 1538416876.785 * [misc]backup-simplify: Simplify n into n 1538416876.785 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416876.785 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416876.785 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.785 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.786 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.786 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1538416876.786 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1538416876.786 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.786 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.786 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.786 * [misc]taylor: Taking taylor expansion of k in n 1538416876.786 * [misc]backup-simplify: Simplify k into k 1538416876.786 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.786 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.786 * [misc]backup-simplify: Simplify 2 into 2 1538416876.786 * [misc]taylor: Taking taylor expansion of n in n 1538416876.786 * [misc]backup-simplify: Simplify 0 into 0 1538416876.786 * [misc]backup-simplify: Simplify 1 into 1 1538416876.786 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.787 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.787 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.787 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416876.787 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416876.787 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416876.788 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.789 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416876.789 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416876.789 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.789 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.789 * [misc]taylor: Taking taylor expansion of k in n 1538416876.789 * [misc]backup-simplify: Simplify k into k 1538416876.789 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416876.789 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.789 * [misc]backup-simplify: Simplify 2 into 2 1538416876.789 * [misc]taylor: Taking taylor expansion of n in n 1538416876.789 * [misc]backup-simplify: Simplify 0 into 0 1538416876.789 * [misc]backup-simplify: Simplify 1 into 1 1538416876.790 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416876.790 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416876.790 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.790 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416876.790 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416876.790 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416876.791 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.791 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1538416876.791 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1538416876.791 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1538416876.791 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1538416876.791 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416876.791 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416876.791 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.791 * [misc]backup-simplify: Simplify 2 into 2 1538416876.792 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.792 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416876.792 * [misc]taylor: Taking taylor expansion of n in k 1538416876.792 * [misc]backup-simplify: Simplify n into n 1538416876.792 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416876.792 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.792 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.792 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.792 * [misc]taylor: Taking taylor expansion of k in k 1538416876.792 * [misc]backup-simplify: Simplify 0 into 0 1538416876.792 * [misc]backup-simplify: Simplify 1 into 1 1538416876.792 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416876.792 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.792 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.793 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.793 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1538416876.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538416876.793 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1538416876.794 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.796 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538416876.797 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.797 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.797 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.797 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416876.799 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.799 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.799 * [misc]backup-simplify: Simplify 0 into 0 1538416876.799 * [misc]backup-simplify: Simplify 0 into 0 1538416876.799 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416876.799 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.799 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.802 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.802 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416876.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.803 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416876.804 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538416876.804 * [misc]backup-simplify: Simplify (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) into (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) 1538416876.805 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416876.809 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416876.810 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538416876.810 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.810 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416876.811 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538416876.813 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416876.813 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.813 * [misc]backup-simplify: Simplify 0 into 0 1538416876.813 * [misc]backup-simplify: Simplify 0 into 0 1538416876.813 * [misc]backup-simplify: Simplify 0 into 0 1538416876.813 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.813 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.814 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.818 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416876.819 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1538416876.820 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.820 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1538416876.822 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538416876.823 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) into (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) 1538416876.826 * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (pow (log n) 2)) (+ (* 1/4 (* (log 2) (log n))) (* 1/8 (pow (log 2) 2))))) (pow (* k 1) 2)) (+ (* (* -1 (* (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* k 1)) (exp (* 1/2 (+ (log 2) (log n)))))) into (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1538416876.826 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.826 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1538416876.826 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416876.826 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416876.826 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416876.826 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.826 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.827 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.827 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.827 * [misc]taylor: Taking taylor expansion of k in k 1538416876.827 * [misc]backup-simplify: Simplify 0 into 0 1538416876.827 * [misc]backup-simplify: Simplify 1 into 1 1538416876.827 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.827 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416876.827 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416876.827 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.827 * [misc]backup-simplify: Simplify 2 into 2 1538416876.827 * [misc]taylor: Taking taylor expansion of n in k 1538416876.827 * [misc]backup-simplify: Simplify n into n 1538416876.827 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416876.827 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416876.827 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.828 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.828 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.828 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416876.828 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1538416876.828 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.828 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.828 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of k in n 1538416876.828 * [misc]backup-simplify: Simplify k into k 1538416876.828 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.828 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.828 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.828 * [misc]backup-simplify: Simplify 2 into 2 1538416876.829 * [misc]taylor: Taking taylor expansion of n in n 1538416876.829 * [misc]backup-simplify: Simplify 0 into 0 1538416876.829 * [misc]backup-simplify: Simplify 1 into 1 1538416876.829 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.829 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.829 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.829 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.829 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.830 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.830 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.830 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.830 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416876.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416876.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416876.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416876.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.830 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.830 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.831 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.831 * [misc]taylor: Taking taylor expansion of k in n 1538416876.831 * [misc]backup-simplify: Simplify k into k 1538416876.831 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.831 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416876.831 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416876.831 * [misc]taylor: Taking taylor expansion of 2 in n 1538416876.831 * [misc]backup-simplify: Simplify 2 into 2 1538416876.831 * [misc]taylor: Taking taylor expansion of n in n 1538416876.831 * [misc]backup-simplify: Simplify 0 into 0 1538416876.831 * [misc]backup-simplify: Simplify 1 into 1 1538416876.831 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416876.831 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.832 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.832 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416876.832 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416876.832 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.832 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) 1538416876.833 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.833 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.833 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of k in k 1538416876.833 * [misc]backup-simplify: Simplify 0 into 0 1538416876.833 * [misc]backup-simplify: Simplify 1 into 1 1538416876.833 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.833 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416876.833 * [misc]taylor: Taking taylor expansion of 2 in k 1538416876.833 * [misc]backup-simplify: Simplify 2 into 2 1538416876.834 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416876.834 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416876.834 * [misc]taylor: Taking taylor expansion of n in k 1538416876.834 * [misc]backup-simplify: Simplify n into n 1538416876.834 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416876.834 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.834 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.834 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.834 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416876.835 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538416876.835 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538416876.835 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.835 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) into (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) 1538416876.836 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416876.838 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416876.838 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.839 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.839 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.839 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.839 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.840 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416876.841 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.841 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.841 * [misc]backup-simplify: Simplify 0 into 0 1538416876.841 * [misc]backup-simplify: Simplify 0 into 0 1538416876.841 * [misc]backup-simplify: Simplify 0 into 0 1538416876.842 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.846 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416876.846 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416876.846 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416876.846 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.847 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.847 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538416876.849 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416876.849 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.850 * [misc]backup-simplify: Simplify 0 into 0 1538416876.850 * [misc]backup-simplify: Simplify 0 into 0 1538416876.850 * [misc]backup-simplify: Simplify 0 into 0 1538416876.850 * [misc]backup-simplify: Simplify 0 into 0 1538416876.850 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.857 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538416876.857 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416876.857 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416876.858 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.858 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.858 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416876.859 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538416876.862 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416876.862 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.862 * [misc]backup-simplify: Simplify 0 into 0 1538416876.862 * [misc]backup-simplify: Simplify 0 into 0 1538416876.863 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))) into (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538416876.863 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.863 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1538416876.863 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.863 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of k in k 1538416876.863 * [misc]backup-simplify: Simplify 0 into 0 1538416876.863 * [misc]backup-simplify: Simplify 1 into 1 1538416876.863 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.863 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.863 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.863 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416876.863 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416876.864 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.864 * [misc]backup-simplify: Simplify -2 into -2 1538416876.864 * [misc]taylor: Taking taylor expansion of n in k 1538416876.864 * [misc]backup-simplify: Simplify n into n 1538416876.864 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416876.864 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416876.864 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.864 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.864 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416876.864 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1538416876.864 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.864 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.864 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.864 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.864 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.864 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.865 * [misc]taylor: Taking taylor expansion of k in n 1538416876.865 * [misc]backup-simplify: Simplify k into k 1538416876.865 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.865 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.865 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.865 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.865 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.865 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.865 * [misc]backup-simplify: Simplify -2 into -2 1538416876.865 * [misc]taylor: Taking taylor expansion of n in n 1538416876.865 * [misc]backup-simplify: Simplify 0 into 0 1538416876.865 * [misc]backup-simplify: Simplify 1 into 1 1538416876.865 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.865 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.865 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.865 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.866 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.866 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.866 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.866 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416876.866 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1538416876.866 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1538416876.866 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416876.866 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416876.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.867 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416876.867 * [misc]taylor: Taking taylor expansion of k in n 1538416876.867 * [misc]backup-simplify: Simplify k into k 1538416876.867 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416876.867 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416876.867 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.867 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416876.867 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416876.867 * [misc]taylor: Taking taylor expansion of -2 in n 1538416876.867 * [misc]backup-simplify: Simplify -2 into -2 1538416876.867 * [misc]taylor: Taking taylor expansion of n in n 1538416876.867 * [misc]backup-simplify: Simplify 0 into 0 1538416876.867 * [misc]backup-simplify: Simplify 1 into 1 1538416876.867 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416876.867 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.867 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416876.867 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416876.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.868 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1538416876.868 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.868 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1538416876.868 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.869 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of k in k 1538416876.869 * [misc]backup-simplify: Simplify 0 into 0 1538416876.869 * [misc]backup-simplify: Simplify 1 into 1 1538416876.869 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416876.869 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.869 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.869 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of -2 in k 1538416876.869 * [misc]backup-simplify: Simplify -2 into -2 1538416876.869 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416876.869 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416876.869 * [misc]taylor: Taking taylor expansion of n in k 1538416876.869 * [misc]backup-simplify: Simplify n into n 1538416876.869 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416876.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416876.870 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.870 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416876.870 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538416876.870 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538416876.870 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.871 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1538416876.871 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416876.874 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416876.874 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416876.874 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416876.874 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.874 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.875 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1538416876.876 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416876.876 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.876 * [misc]backup-simplify: Simplify 0 into 0 1538416876.876 * [misc]backup-simplify: Simplify 0 into 0 1538416876.876 * [misc]backup-simplify: Simplify 0 into 0 1538416876.877 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.880 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538416876.880 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416876.880 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416876.881 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.881 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538416876.883 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416876.883 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.883 * [misc]backup-simplify: Simplify 0 into 0 1538416876.883 * [misc]backup-simplify: Simplify 0 into 0 1538416876.883 * [misc]backup-simplify: Simplify 0 into 0 1538416876.883 * [misc]backup-simplify: Simplify 0 into 0 1538416876.883 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416876.887 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -2 1)))) 6) into 0 1538416876.887 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416876.887 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416876.887 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416876.888 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1538416876.890 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416876.890 * [misc]taylor: Taking taylor expansion of 0 in k 1538416876.890 * [misc]backup-simplify: Simplify 0 into 0 1538416876.890 * [misc]backup-simplify: Simplify 0 into 0 1538416876.890 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log -2) (log (/ 1 (- n)))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538416876.890 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538416876.891 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538416876.891 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538416876.891 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.891 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.891 * [misc]taylor: Taking taylor expansion of k in k 1538416876.891 * [misc]backup-simplify: Simplify 0 into 0 1538416876.891 * [misc]backup-simplify: Simplify 1 into 1 1538416876.891 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.891 * [misc]backup-simplify: Simplify PI into PI 1538416876.891 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.891 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.891 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416876.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416876.891 * [misc]taylor: Taking taylor expansion of k in k 1538416876.891 * [misc]backup-simplify: Simplify 0 into 0 1538416876.891 * [misc]backup-simplify: Simplify 1 into 1 1538416876.891 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416876.891 * [misc]taylor: Taking taylor expansion of PI in k 1538416876.891 * [misc]backup-simplify: Simplify PI into PI 1538416876.891 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416876.892 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416876.892 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.892 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416876.892 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.892 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416876.894 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416876.894 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416876.894 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416876.894 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416876.895 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416876.895 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416876.898 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416876.898 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416876.898 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416876.899 * [misc]backup-simplify: Simplify 0 into 0 1538416876.906 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416876.906 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416876.907 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.909 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416876.909 * [misc]backup-simplify: Simplify 0 into 0 1538416876.921 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416876.921 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538416876.921 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.924 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416876.924 * [misc]backup-simplify: Simplify 0 into 0 1538416876.935 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416876.936 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538416876.936 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.936 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.938 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416876.938 * [misc]backup-simplify: Simplify 0 into 0 1538416876.955 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416876.955 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538416876.956 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.956 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416876.959 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416876.959 * [misc]backup-simplify: Simplify 0 into 0 1538416876.998 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416876.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538416876.999 * [misc]backup-simplify: Simplify (- 0) into 0 1538416876.999 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.003 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416877.004 * [misc]backup-simplify: Simplify 0 into 0 1538416877.005 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416877.005 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416877.005 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538416877.005 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416877.005 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of k in k 1538416877.006 * [misc]backup-simplify: Simplify 0 into 0 1538416877.006 * [misc]backup-simplify: Simplify 1 into 1 1538416877.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416877.006 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of PI in k 1538416877.006 * [misc]backup-simplify: Simplify PI into PI 1538416877.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416877.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416877.006 * [misc]taylor: Taking taylor expansion of k in k 1538416877.006 * [misc]backup-simplify: Simplify 0 into 0 1538416877.006 * [misc]backup-simplify: Simplify 1 into 1 1538416877.007 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416877.007 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416877.007 * [misc]taylor: Taking taylor expansion of PI in k 1538416877.007 * [misc]backup-simplify: Simplify PI into PI 1538416877.007 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416877.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416877.007 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416877.007 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416877.008 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416877.008 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416877.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416877.011 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416877.011 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538416877.011 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.012 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416877.012 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538416877.013 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416877.016 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416877.017 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538416877.017 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.017 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.018 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538416877.018 * [misc]backup-simplify: Simplify 0 into 0 1538416877.022 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416877.022 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.022 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538416877.022 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.022 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.024 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416877.024 * [misc]backup-simplify: Simplify 0 into 0 1538416877.030 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416877.030 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.031 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538416877.031 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.031 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.032 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416877.032 * [misc]backup-simplify: Simplify 0 into 0 1538416877.042 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416877.043 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.043 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538416877.043 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.043 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.047 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416877.047 * [misc]backup-simplify: Simplify 0 into 0 1538416877.073 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416877.074 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.075 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538416877.075 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.075 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.078 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416877.079 * [misc]backup-simplify: Simplify 0 into 0 1538416877.121 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416877.122 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538416877.123 * [misc]backup-simplify: Simplify (- 0) into 0 1538416877.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.127 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416877.127 * [misc]backup-simplify: Simplify 0 into 0 1538416877.129 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416877.129 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416877.129 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538416877.129 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416877.129 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416877.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416877.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416877.129 * [misc]taylor: Taking taylor expansion of k in k 1538416877.129 * [misc]backup-simplify: Simplify 0 into 0 1538416877.129 * [misc]backup-simplify: Simplify 1 into 1 1538416877.129 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416877.129 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.130 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of PI in k 1538416877.130 * [misc]backup-simplify: Simplify PI into PI 1538416877.130 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416877.130 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.130 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of k in k 1538416877.130 * [misc]backup-simplify: Simplify 0 into 0 1538416877.130 * [misc]backup-simplify: Simplify 1 into 1 1538416877.130 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416877.130 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416877.130 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416877.130 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416877.130 * [misc]taylor: Taking taylor expansion of PI in k 1538416877.130 * [misc]backup-simplify: Simplify PI into PI 1538416877.131 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416877.131 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416877.131 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416877.131 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416877.132 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416877.134 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416877.134 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416877.135 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538416877.135 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538416877.136 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538416877.136 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416877.140 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416877.141 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538416877.141 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.142 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538416877.142 * [misc]backup-simplify: Simplify 0 into 0 1538416877.148 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416877.149 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.149 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538416877.149 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416877.150 * [misc]backup-simplify: Simplify 0 into 0 1538416877.157 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416877.157 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.158 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538416877.158 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.159 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416877.159 * [misc]backup-simplify: Simplify 0 into 0 1538416877.169 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416877.169 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.170 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538416877.170 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.172 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416877.172 * [misc]backup-simplify: Simplify 0 into 0 1538416877.188 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416877.188 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.188 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538416877.189 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.191 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416877.191 * [misc]backup-simplify: Simplify 0 into 0 1538416877.230 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416877.231 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416877.232 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538416877.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416877.236 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416877.237 * [misc]backup-simplify: Simplify 0 into 0 1538416877.238 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416877.238 * * * [misc]progress: simplifying candidates 1538416877.238 * * * * [misc]progress: [ 1 / 302 ] simplifiying candidate # 1538416877.238 * * * * [misc]progress: [ 2 / 302 ] simplifiying candidate # 1538416877.238 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416877.239 * * [misc]simplify: iters left: 6 (16 enodes) 1538416877.244 * * [misc]simplify: iters left: 5 (30 enodes) 1538416877.254 * * [misc]simplify: iters left: 4 (66 enodes) 1538416877.285 * * [misc]simplify: iters left: 3 (209 enodes) 1538416877.370 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538416877.370 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538416877.370 * * * * [misc]progress: [ 3 / 302 ] simplifiying candidate # 1538416877.371 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1538416877.371 * * [misc]simplify: iters left: 6 (16 enodes) 1538416877.374 * * [misc]simplify: iters left: 5 (30 enodes) 1538416877.379 * * [misc]simplify: iters left: 4 (66 enodes) 1538416877.396 * * [misc]simplify: iters left: 3 (209 enodes) 1538416877.468 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1538416877.468 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI))) (log (sqrt k))))) 1538416877.468 * * * * [misc]progress: [ 4 / 302 ] simplifiying candidate # 1538416877.468 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416877.468 * * [misc]simplify: iters left: 6 (16 enodes) 1538416877.471 * * [misc]simplify: iters left: 5 (28 enodes) 1538416877.475 * * [misc]simplify: iters left: 4 (54 enodes) 1538416877.486 * * [misc]simplify: iters left: 3 (132 enodes) 1538416877.526 * * [misc]simplify: iters left: 2 (467 enodes) 1538416877.799 * [exit]simplify: Simplified to (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))) 1538416877.799 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (+ (log PI) (log (* 2 n))) (- 1/2 (/ k 2))) (log (sqrt k))))) 1538416877.799 * * * * [misc]progress: [ 5 / 302 ] simplifiying candidate # 1538416877.800 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416877.800 * * [misc]simplify: iters left: 6 (15 enodes) 1538416877.804 * * [misc]simplify: iters left: 5 (24 enodes) 1538416877.811 * * [misc]simplify: iters left: 4 (40 enodes) 1538416877.825 * * [misc]simplify: iters left: 3 (81 enodes) 1538416877.852 * * [misc]simplify: iters left: 2 (186 enodes) 1538416877.964 * [exit]simplify: Simplified to (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))) 1538416877.965 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (* (- 1/2 (/ k 2)) (log (* 2 n))) (- (* (log PI) (- 1/2 (/ k 2))) (log (sqrt k)))))) 1538416877.965 * * * * [misc]progress: [ 6 / 302 ] simplifiying candidate # 1538416877.965 * * * * [misc]progress: [ 7 / 302 ] simplifiying candidate # 1538416877.965 * * * * [misc]progress: [ 8 / 302 ] simplifiying candidate # 1538416877.965 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416877.965 * * [misc]simplify: iters left: 6 (21 enodes) 1538416877.969 * * [misc]simplify: iters left: 5 (44 enodes) 1538416877.977 * * [misc]simplify: iters left: 4 (134 enodes) 1538416878.045 * * [misc]simplify: iters left: 3 (495 enodes) 1538416878.463 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ k (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416878.464 * * * * [misc]progress: [ 9 / 302 ] simplifiying candidate # 1538416878.464 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.464 * * [misc]simplify: iters left: 6 (19 enodes) 1538416878.467 * * [misc]simplify: iters left: 5 (43 enodes) 1538416878.475 * * [misc]simplify: iters left: 4 (114 enodes) 1538416878.499 * * [misc]simplify: iters left: 3 (334 enodes) 1538416878.761 * [exit]simplify: Simplified to (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3) 1538416878.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 3))) 1538416878.761 * * * * [misc]progress: [ 10 / 302 ] simplifiying candidate # 1538416878.761 * * * * [misc]progress: [ 11 / 302 ] simplifiying candidate # 1538416878.762 * * * * [misc]progress: [ 12 / 302 ] simplifiying candidate # 1538416878.762 * * * * [misc]progress: [ 13 / 302 ] simplifiying candidate # 1538416878.762 * * * * [misc]progress: [ 14 / 302 ] simplifiying candidate # 1538416878.762 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416878.762 * * [misc]simplify: iters left: 6 (17 enodes) 1538416878.769 * * [misc]simplify: iters left: 5 (26 enodes) 1538416878.776 * * [misc]simplify: iters left: 4 (31 enodes) 1538416878.784 * * [misc]simplify: iters left: 3 (33 enodes) 1538416878.792 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.793 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416878.793 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.793 * * [misc]simplify: iters left: 6 (17 enodes) 1538416878.798 * * [misc]simplify: iters left: 5 (27 enodes) 1538416878.806 * * [misc]simplify: iters left: 4 (41 enodes) 1538416878.817 * * [misc]simplify: iters left: 3 (71 enodes) 1538416878.835 * * [misc]simplify: iters left: 2 (93 enodes) 1538416878.859 * * [misc]simplify: iters left: 1 (101 enodes) 1538416878.872 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416878.872 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416878.872 * * * * [misc]progress: [ 15 / 302 ] simplifiying candidate # 1538416878.872 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.872 * * [misc]simplify: iters left: 6 (16 enodes) 1538416878.875 * * [misc]simplify: iters left: 5 (23 enodes) 1538416878.878 * * [misc]simplify: iters left: 4 (28 enodes) 1538416878.882 * * [misc]simplify: iters left: 3 (30 enodes) 1538416878.886 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.886 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416878.886 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416878.886 * * [misc]simplify: iters left: 6 (17 enodes) 1538416878.889 * * [misc]simplify: iters left: 5 (27 enodes) 1538416878.893 * * [misc]simplify: iters left: 4 (41 enodes) 1538416878.902 * * [misc]simplify: iters left: 3 (71 enodes) 1538416878.919 * * [misc]simplify: iters left: 2 (93 enodes) 1538416878.932 * * [misc]simplify: iters left: 1 (101 enodes) 1538416878.944 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416878.944 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416878.944 * * * * [misc]progress: [ 16 / 302 ] simplifiying candidate # 1538416878.944 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416878.944 * * [misc]simplify: iters left: 6 (15 enodes) 1538416878.946 * * [misc]simplify: iters left: 5 (25 enodes) 1538416878.951 * * [misc]simplify: iters left: 4 (34 enodes) 1538416878.960 * * [misc]simplify: iters left: 3 (48 enodes) 1538416878.973 * * [misc]simplify: iters left: 2 (53 enodes) 1538416878.985 * * [misc]simplify: iters left: 1 (60 enodes) 1538416879.000 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416879.000 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416879.001 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416879.001 * * [misc]simplify: iters left: 6 (15 enodes) 1538416879.005 * * [misc]simplify: iters left: 5 (26 enodes) 1538416879.008 * * [misc]simplify: iters left: 4 (42 enodes) 1538416879.014 * * [misc]simplify: iters left: 3 (78 enodes) 1538416879.024 * * [misc]simplify: iters left: 2 (126 enodes) 1538416879.048 * * [misc]simplify: iters left: 1 (179 enodes) 1538416879.102 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416879.102 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416879.102 * * * * [misc]progress: [ 17 / 302 ] simplifiying candidate # 1538416879.103 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416879.103 * * [misc]simplify: iters left: 6 (15 enodes) 1538416879.107 * * [misc]simplify: iters left: 5 (25 enodes) 1538416879.114 * * [misc]simplify: iters left: 4 (34 enodes) 1538416879.124 * * [misc]simplify: iters left: 3 (48 enodes) 1538416879.137 * * [misc]simplify: iters left: 2 (53 enodes) 1538416879.149 * * [misc]simplify: iters left: 1 (60 enodes) 1538416879.164 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416879.164 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416879.165 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416879.165 * * [misc]simplify: iters left: 6 (15 enodes) 1538416879.170 * * [misc]simplify: iters left: 5 (26 enodes) 1538416879.178 * * [misc]simplify: iters left: 4 (42 enodes) 1538416879.190 * * [misc]simplify: iters left: 3 (78 enodes) 1538416879.207 * * [misc]simplify: iters left: 2 (126 enodes) 1538416879.232 * * [misc]simplify: iters left: 1 (179 enodes) 1538416879.270 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416879.270 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416879.270 * * * * [misc]progress: [ 18 / 302 ] simplifiying candidate # 1538416879.271 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416879.271 * * [misc]simplify: iters left: 6 (16 enodes) 1538416879.276 * * [misc]simplify: iters left: 5 (26 enodes) 1538416879.283 * * [misc]simplify: iters left: 4 (38 enodes) 1538416879.294 * * [misc]simplify: iters left: 3 (52 enodes) 1538416879.307 * * [misc]simplify: iters left: 2 (57 enodes) 1538416879.317 * * [misc]simplify: iters left: 1 (64 enodes) 1538416879.327 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416879.327 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416879.327 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416879.327 * * [misc]simplify: iters left: 6 (15 enodes) 1538416879.329 * * [misc]simplify: iters left: 5 (26 enodes) 1538416879.333 * * [misc]simplify: iters left: 4 (43 enodes) 1538416879.340 * * [misc]simplify: iters left: 3 (79 enodes) 1538416879.350 * * [misc]simplify: iters left: 2 (127 enodes) 1538416879.368 * * [misc]simplify: iters left: 1 (180 enodes) 1538416879.413 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416879.413 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416879.414 * * * * [misc]progress: [ 19 / 302 ] simplifiying candidate # 1538416879.414 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416879.415 * * [misc]simplify: iters left: 6 (19 enodes) 1538416879.421 * * [misc]simplify: iters left: 5 (34 enodes) 1538416879.432 * * [misc]simplify: iters left: 4 (57 enodes) 1538416879.449 * * [misc]simplify: iters left: 3 (84 enodes) 1538416879.464 * * [misc]simplify: iters left: 2 (118 enodes) 1538416879.486 * * [misc]simplify: iters left: 1 (141 enodes) 1538416879.532 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416879.533 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416879.533 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416879.533 * * [misc]simplify: iters left: 6 (18 enodes) 1538416879.536 * * [misc]simplify: iters left: 5 (30 enodes) 1538416879.540 * * [misc]simplify: iters left: 4 (47 enodes) 1538416879.547 * * [misc]simplify: iters left: 3 (83 enodes) 1538416879.558 * * [misc]simplify: iters left: 2 (131 enodes) 1538416879.577 * * [misc]simplify: iters left: 1 (184 enodes) 1538416879.613 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416879.614 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416879.614 * * * * [misc]progress: [ 20 / 302 ] simplifiying candidate # 1538416879.614 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416879.614 * * [misc]simplify: iters left: 6 (18 enodes) 1538416879.618 * * [misc]simplify: iters left: 5 (29 enodes) 1538416879.622 * * [misc]simplify: iters left: 4 (41 enodes) 1538416879.631 * * [misc]simplify: iters left: 3 (55 enodes) 1538416879.645 * * [misc]simplify: iters left: 2 (60 enodes) 1538416879.659 * * [misc]simplify: iters left: 1 (67 enodes) 1538416879.675 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416879.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416879.676 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416879.676 * * [misc]simplify: iters left: 6 (18 enodes) 1538416879.681 * * [misc]simplify: iters left: 5 (30 enodes) 1538416879.690 * * [misc]simplify: iters left: 4 (47 enodes) 1538416879.703 * * [misc]simplify: iters left: 3 (83 enodes) 1538416879.724 * * [misc]simplify: iters left: 2 (131 enodes) 1538416879.762 * * [misc]simplify: iters left: 1 (184 enodes) 1538416879.814 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416879.814 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416879.814 * * * * [misc]progress: [ 21 / 302 ] simplifiying candidate # 1538416879.815 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416879.815 * * [misc]simplify: iters left: 6 (12 enodes) 1538416879.818 * * [misc]simplify: iters left: 5 (22 enodes) 1538416879.825 * * [misc]simplify: iters left: 4 (35 enodes) 1538416879.831 * * [misc]simplify: iters left: 3 (57 enodes) 1538416879.840 * * [misc]simplify: iters left: 2 (124 enodes) 1538416879.887 * * [misc]simplify: iters left: 1 (186 enodes) 1538416879.918 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416879.918 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416879.918 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416879.918 * * [misc]simplify: iters left: 6 (17 enodes) 1538416879.923 * * [misc]simplify: iters left: 5 (29 enodes) 1538416879.931 * * [misc]simplify: iters left: 4 (46 enodes) 1538416879.943 * * [misc]simplify: iters left: 3 (82 enodes) 1538416879.961 * * [misc]simplify: iters left: 2 (130 enodes) 1538416879.994 * * [misc]simplify: iters left: 1 (183 enodes) 1538416880.022 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416880.022 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416880.022 * * * * [misc]progress: [ 22 / 302 ] simplifiying candidate # 1538416880.022 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416880.022 * * [misc]simplify: iters left: 6 (14 enodes) 1538416880.024 * * [misc]simplify: iters left: 5 (22 enodes) 1538416880.027 * * [misc]simplify: iters left: 4 (27 enodes) 1538416880.031 * * [misc]simplify: iters left: 3 (31 enodes) 1538416880.035 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416880.035 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416880.035 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416880.035 * * [misc]simplify: iters left: 6 (15 enodes) 1538416880.037 * * [misc]simplify: iters left: 5 (26 enodes) 1538416880.041 * * [misc]simplify: iters left: 4 (42 enodes) 1538416880.052 * * [misc]simplify: iters left: 3 (78 enodes) 1538416880.072 * * [misc]simplify: iters left: 2 (126 enodes) 1538416880.110 * * [misc]simplify: iters left: 1 (179 enodes) 1538416880.143 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.143 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.143 * * * * [misc]progress: [ 23 / 302 ] simplifiying candidate # 1538416880.143 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416880.144 * * [misc]simplify: iters left: 6 (14 enodes) 1538416880.146 * * [misc]simplify: iters left: 5 (22 enodes) 1538416880.149 * * [misc]simplify: iters left: 4 (27 enodes) 1538416880.152 * * [misc]simplify: iters left: 3 (31 enodes) 1538416880.156 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416880.156 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416880.157 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416880.157 * * [misc]simplify: iters left: 6 (15 enodes) 1538416880.160 * * [misc]simplify: iters left: 5 (26 enodes) 1538416880.164 * * [misc]simplify: iters left: 4 (42 enodes) 1538416880.177 * * [misc]simplify: iters left: 3 (78 enodes) 1538416880.196 * * [misc]simplify: iters left: 2 (126 enodes) 1538416880.232 * * [misc]simplify: iters left: 1 (179 enodes) 1538416880.258 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.258 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.258 * * * * [misc]progress: [ 24 / 302 ] simplifiying candidate # 1538416880.258 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416880.258 * * [misc]simplify: iters left: 6 (15 enodes) 1538416880.260 * * [misc]simplify: iters left: 5 (23 enodes) 1538416880.264 * * [misc]simplify: iters left: 4 (31 enodes) 1538416880.272 * * [misc]simplify: iters left: 3 (35 enodes) 1538416880.280 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416880.280 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416880.281 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416880.281 * * [misc]simplify: iters left: 6 (15 enodes) 1538416880.285 * * [misc]simplify: iters left: 5 (26 enodes) 1538416880.293 * * [misc]simplify: iters left: 4 (43 enodes) 1538416880.304 * * [misc]simplify: iters left: 3 (79 enodes) 1538416880.314 * * [misc]simplify: iters left: 2 (127 enodes) 1538416880.336 * * [misc]simplify: iters left: 1 (180 enodes) 1538416880.384 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.384 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.384 * * * * [misc]progress: [ 25 / 302 ] simplifiying candidate # 1538416880.384 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416880.384 * * [misc]simplify: iters left: 6 (18 enodes) 1538416880.390 * * [misc]simplify: iters left: 5 (29 enodes) 1538416880.397 * * [misc]simplify: iters left: 4 (39 enodes) 1538416880.407 * * [misc]simplify: iters left: 3 (50 enodes) 1538416880.419 * * [misc]simplify: iters left: 2 (58 enodes) 1538416880.433 * * [misc]simplify: iters left: 1 (60 enodes) 1538416880.448 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416880.449 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416880.449 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416880.449 * * [misc]simplify: iters left: 6 (18 enodes) 1538416880.454 * * [misc]simplify: iters left: 5 (30 enodes) 1538416880.461 * * [misc]simplify: iters left: 4 (47 enodes) 1538416880.473 * * [misc]simplify: iters left: 3 (83 enodes) 1538416880.492 * * [misc]simplify: iters left: 2 (131 enodes) 1538416880.510 * * [misc]simplify: iters left: 1 (184 enodes) 1538416880.555 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.555 * * * * [misc]progress: [ 26 / 302 ] simplifiying candidate # 1538416880.556 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416880.556 * * [misc]simplify: iters left: 6 (17 enodes) 1538416880.561 * * [misc]simplify: iters left: 5 (26 enodes) 1538416880.568 * * [misc]simplify: iters left: 4 (34 enodes) 1538416880.576 * * [misc]simplify: iters left: 3 (38 enodes) 1538416880.582 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416880.582 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416880.582 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416880.582 * * [misc]simplify: iters left: 6 (18 enodes) 1538416880.585 * * [misc]simplify: iters left: 5 (30 enodes) 1538416880.589 * * [misc]simplify: iters left: 4 (47 enodes) 1538416880.596 * * [misc]simplify: iters left: 3 (83 enodes) 1538416880.606 * * [misc]simplify: iters left: 2 (131 enodes) 1538416880.625 * * [misc]simplify: iters left: 1 (184 enodes) 1538416880.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.661 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.661 * * * * [misc]progress: [ 27 / 302 ] simplifiying candidate # 1538416880.661 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538416880.661 * * [misc]simplify: iters left: 6 (11 enodes) 1538416880.663 * * [misc]simplify: iters left: 5 (19 enodes) 1538416880.667 * * [misc]simplify: iters left: 4 (28 enodes) 1538416880.670 * * [misc]simplify: iters left: 3 (32 enodes) 1538416880.673 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416880.673 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416880.674 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416880.674 * * [misc]simplify: iters left: 6 (17 enodes) 1538416880.676 * * [misc]simplify: iters left: 5 (29 enodes) 1538416880.681 * * [misc]simplify: iters left: 4 (46 enodes) 1538416880.687 * * [misc]simplify: iters left: 3 (82 enodes) 1538416880.700 * * [misc]simplify: iters left: 2 (130 enodes) 1538416880.735 * * [misc]simplify: iters left: 1 (183 enodes) 1538416880.789 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416880.789 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416880.789 * * * * [misc]progress: [ 28 / 302 ] simplifiying candidate # 1538416880.789 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538416880.789 * * [misc]simplify: iters left: 6 (12 enodes) 1538416880.793 * * [misc]simplify: iters left: 5 (22 enodes) 1538416880.799 * * [misc]simplify: iters left: 4 (26 enodes) 1538416880.806 * * [misc]simplify: iters left: 3 (37 enodes) 1538416880.815 * * [misc]simplify: iters left: 2 (42 enodes) 1538416880.825 * * [misc]simplify: iters left: 1 (51 enodes) 1538416880.837 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416880.837 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416880.837 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416880.838 * * [misc]simplify: iters left: 6 (14 enodes) 1538416880.842 * * [misc]simplify: iters left: 5 (25 enodes) 1538416880.849 * * [misc]simplify: iters left: 4 (41 enodes) 1538416880.861 * * [misc]simplify: iters left: 3 (77 enodes) 1538416880.880 * * [misc]simplify: iters left: 2 (125 enodes) 1538416880.917 * * [misc]simplify: iters left: 1 (178 enodes) 1538416880.969 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416880.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416880.969 * * * * [misc]progress: [ 29 / 302 ] simplifiying candidate # 1538416880.969 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538416880.969 * * [misc]simplify: iters left: 6 (12 enodes) 1538416880.973 * * [misc]simplify: iters left: 5 (22 enodes) 1538416880.979 * * [misc]simplify: iters left: 4 (26 enodes) 1538416880.987 * * [misc]simplify: iters left: 3 (37 enodes) 1538416880.996 * * [misc]simplify: iters left: 2 (42 enodes) 1538416881.006 * * [misc]simplify: iters left: 1 (51 enodes) 1538416881.017 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416881.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416881.017 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416881.018 * * [misc]simplify: iters left: 6 (14 enodes) 1538416881.022 * * [misc]simplify: iters left: 5 (25 enodes) 1538416881.029 * * [misc]simplify: iters left: 4 (41 enodes) 1538416881.041 * * [misc]simplify: iters left: 3 (77 enodes) 1538416881.062 * * [misc]simplify: iters left: 2 (125 enodes) 1538416881.097 * * [misc]simplify: iters left: 1 (178 enodes) 1538416881.149 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416881.149 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416881.149 * * * * [misc]progress: [ 30 / 302 ] simplifiying candidate # 1538416881.150 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416881.150 * * [misc]simplify: iters left: 6 (14 enodes) 1538416881.154 * * [misc]simplify: iters left: 5 (24 enodes) 1538416881.161 * * [misc]simplify: iters left: 4 (31 enodes) 1538416881.171 * * [misc]simplify: iters left: 3 (42 enodes) 1538416881.181 * * [misc]simplify: iters left: 2 (47 enodes) 1538416881.194 * * [misc]simplify: iters left: 1 (57 enodes) 1538416881.202 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538416881.202 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416881.202 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416881.202 * * [misc]simplify: iters left: 6 (14 enodes) 1538416881.204 * * [misc]simplify: iters left: 5 (25 enodes) 1538416881.208 * * [misc]simplify: iters left: 4 (42 enodes) 1538416881.214 * * [misc]simplify: iters left: 3 (78 enodes) 1538416881.225 * * [misc]simplify: iters left: 2 (126 enodes) 1538416881.252 * * [misc]simplify: iters left: 1 (179 enodes) 1538416881.281 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538416881.281 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1538416881.281 * * * * [misc]progress: [ 31 / 302 ] simplifiying candidate # 1538416881.282 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416881.282 * * [misc]simplify: iters left: 6 (17 enodes) 1538416881.287 * * [misc]simplify: iters left: 5 (30 enodes) 1538416881.295 * * [misc]simplify: iters left: 4 (39 enodes) 1538416881.301 * * [misc]simplify: iters left: 3 (56 enodes) 1538416881.309 * * [misc]simplify: iters left: 2 (73 enodes) 1538416881.321 * * [misc]simplify: iters left: 1 (94 enodes) 1538416881.340 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538416881.340 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416881.340 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416881.341 * * [misc]simplify: iters left: 6 (17 enodes) 1538416881.345 * * [misc]simplify: iters left: 5 (29 enodes) 1538416881.353 * * [misc]simplify: iters left: 4 (46 enodes) 1538416881.365 * * [misc]simplify: iters left: 3 (82 enodes) 1538416881.386 * * [misc]simplify: iters left: 2 (130 enodes) 1538416881.416 * * [misc]simplify: iters left: 1 (183 enodes) 1538416881.450 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416881.451 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416881.451 * * * * [misc]progress: [ 32 / 302 ] simplifiying candidate # 1538416881.451 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416881.451 * * [misc]simplify: iters left: 6 (16 enodes) 1538416881.456 * * [misc]simplify: iters left: 5 (27 enodes) 1538416881.463 * * [misc]simplify: iters left: 4 (34 enodes) 1538416881.472 * * [misc]simplify: iters left: 3 (45 enodes) 1538416881.482 * * [misc]simplify: iters left: 2 (50 enodes) 1538416881.493 * * [misc]simplify: iters left: 1 (60 enodes) 1538416881.507 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416881.507 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416881.507 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416881.507 * * [misc]simplify: iters left: 6 (17 enodes) 1538416881.514 * * [misc]simplify: iters left: 5 (29 enodes) 1538416881.522 * * [misc]simplify: iters left: 4 (46 enodes) 1538416881.534 * * [misc]simplify: iters left: 3 (82 enodes) 1538416881.555 * * [misc]simplify: iters left: 2 (130 enodes) 1538416881.587 * * [misc]simplify: iters left: 1 (183 enodes) 1538416881.626 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416881.626 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416881.626 * * * * [misc]progress: [ 33 / 302 ] simplifiying candidate # 1538416881.626 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538416881.626 * * [misc]simplify: iters left: 6 (8 enodes) 1538416881.629 * * [misc]simplify: iters left: 5 (14 enodes) 1538416881.633 * * [misc]simplify: iters left: 4 (16 enodes) 1538416881.636 * * [misc]simplify: iters left: 3 (18 enodes) 1538416881.642 * [exit]simplify: Simplified to (sqrt PI) 1538416881.642 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416881.642 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416881.643 * * [misc]simplify: iters left: 6 (16 enodes) 1538416881.648 * * [misc]simplify: iters left: 5 (28 enodes) 1538416881.656 * * [misc]simplify: iters left: 4 (45 enodes) 1538416881.669 * * [misc]simplify: iters left: 3 (81 enodes) 1538416881.690 * * [misc]simplify: iters left: 2 (129 enodes) 1538416881.726 * * [misc]simplify: iters left: 1 (181 enodes) 1538416881.753 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416881.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416881.753 * * * * [misc]progress: [ 34 / 302 ] simplifiying candidate # 1538416881.753 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538416881.753 * * [misc]simplify: iters left: 6 (7 enodes) 1538416881.755 * * [misc]simplify: iters left: 5 (13 enodes) 1538416881.760 * * [misc]simplify: iters left: 4 (19 enodes) 1538416881.764 * [exit]simplify: Simplified to (sqrt PI) 1538416881.764 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416881.765 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416881.765 * * [misc]simplify: iters left: 6 (16 enodes) 1538416881.770 * * [misc]simplify: iters left: 5 (28 enodes) 1538416881.778 * * [misc]simplify: iters left: 4 (45 enodes) 1538416881.791 * * [misc]simplify: iters left: 3 (81 enodes) 1538416881.812 * * [misc]simplify: iters left: 2 (129 enodes) 1538416881.843 * * [misc]simplify: iters left: 1 (181 enodes) 1538416881.870 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416881.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416881.870 * * * * [misc]progress: [ 35 / 302 ] simplifiying candidate # 1538416881.870 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538416881.870 * * [misc]simplify: iters left: 6 (8 enodes) 1538416881.871 * * [misc]simplify: iters left: 5 (12 enodes) 1538416881.874 * * [misc]simplify: iters left: 4 (14 enodes) 1538416881.876 * * [misc]simplify: iters left: 3 (16 enodes) 1538416881.878 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416881.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416881.878 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416881.878 * * [misc]simplify: iters left: 6 (16 enodes) 1538416881.881 * * [misc]simplify: iters left: 5 (30 enodes) 1538416881.885 * * [misc]simplify: iters left: 4 (45 enodes) 1538416881.893 * * [misc]simplify: iters left: 3 (88 enodes) 1538416881.914 * * [misc]simplify: iters left: 2 (130 enodes) 1538416881.933 * * [misc]simplify: iters left: 1 (185 enodes) 1538416881.980 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538416881.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538416881.981 * * * * [misc]progress: [ 36 / 302 ] simplifiying candidate # 1538416881.981 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416881.981 * * [misc]simplify: iters left: 6 (13 enodes) 1538416881.983 * * [misc]simplify: iters left: 5 (21 enodes) 1538416881.986 * * [misc]simplify: iters left: 4 (26 enodes) 1538416881.989 * * [misc]simplify: iters left: 3 (30 enodes) 1538416881.993 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538416881.994 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416881.994 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416881.994 * * [misc]simplify: iters left: 6 (12 enodes) 1538416881.996 * * [misc]simplify: iters left: 5 (21 enodes) 1538416882.002 * * [misc]simplify: iters left: 4 (34 enodes) 1538416882.012 * * [misc]simplify: iters left: 3 (64 enodes) 1538416882.028 * * [misc]simplify: iters left: 2 (86 enodes) 1538416882.047 * * [misc]simplify: iters left: 1 (94 enodes) 1538416882.067 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538416882.067 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538416882.067 * * * * [misc]progress: [ 37 / 302 ] simplifiying candidate # 1538416882.068 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416882.068 * * [misc]simplify: iters left: 6 (17 enodes) 1538416882.073 * * [misc]simplify: iters left: 5 (26 enodes) 1538416882.080 * * [misc]simplify: iters left: 4 (31 enodes) 1538416882.088 * * [misc]simplify: iters left: 3 (33 enodes) 1538416882.097 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416882.097 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.098 * * [misc]simplify: iters left: 6 (17 enodes) 1538416882.103 * * [misc]simplify: iters left: 5 (27 enodes) 1538416882.112 * * [misc]simplify: iters left: 4 (41 enodes) 1538416882.124 * * [misc]simplify: iters left: 3 (71 enodes) 1538416882.138 * * [misc]simplify: iters left: 2 (93 enodes) 1538416882.149 * * [misc]simplify: iters left: 1 (101 enodes) 1538416882.167 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416882.167 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416882.167 * * * * [misc]progress: [ 38 / 302 ] simplifiying candidate # 1538416882.167 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.167 * * [misc]simplify: iters left: 6 (16 enodes) 1538416882.172 * * [misc]simplify: iters left: 5 (23 enodes) 1538416882.178 * * [misc]simplify: iters left: 4 (28 enodes) 1538416882.185 * * [misc]simplify: iters left: 3 (30 enodes) 1538416882.194 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.194 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416882.195 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.195 * * [misc]simplify: iters left: 6 (17 enodes) 1538416882.200 * * [misc]simplify: iters left: 5 (27 enodes) 1538416882.205 * * [misc]simplify: iters left: 4 (41 enodes) 1538416882.211 * * [misc]simplify: iters left: 3 (71 enodes) 1538416882.220 * * [misc]simplify: iters left: 2 (93 enodes) 1538416882.231 * * [misc]simplify: iters left: 1 (101 enodes) 1538416882.253 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416882.253 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416882.253 * * * * [misc]progress: [ 39 / 302 ] simplifiying candidate # 1538416882.253 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416882.253 * * [misc]simplify: iters left: 6 (15 enodes) 1538416882.258 * * [misc]simplify: iters left: 5 (25 enodes) 1538416882.265 * * [misc]simplify: iters left: 4 (34 enodes) 1538416882.274 * * [misc]simplify: iters left: 3 (48 enodes) 1538416882.286 * * [misc]simplify: iters left: 2 (53 enodes) 1538416882.298 * * [misc]simplify: iters left: 1 (60 enodes) 1538416882.313 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416882.313 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416882.314 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416882.314 * * [misc]simplify: iters left: 6 (15 enodes) 1538416882.318 * * [misc]simplify: iters left: 5 (26 enodes) 1538416882.326 * * [misc]simplify: iters left: 4 (42 enodes) 1538416882.338 * * [misc]simplify: iters left: 3 (78 enodes) 1538416882.355 * * [misc]simplify: iters left: 2 (126 enodes) 1538416882.374 * * [misc]simplify: iters left: 1 (179 enodes) 1538416882.420 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416882.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416882.420 * * * * [misc]progress: [ 40 / 302 ] simplifiying candidate # 1538416882.420 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416882.420 * * [misc]simplify: iters left: 6 (15 enodes) 1538416882.425 * * [misc]simplify: iters left: 5 (25 enodes) 1538416882.431 * * [misc]simplify: iters left: 4 (34 enodes) 1538416882.438 * * [misc]simplify: iters left: 3 (48 enodes) 1538416882.445 * * [misc]simplify: iters left: 2 (53 enodes) 1538416882.451 * * [misc]simplify: iters left: 1 (60 enodes) 1538416882.460 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416882.460 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416882.460 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416882.461 * * [misc]simplify: iters left: 6 (15 enodes) 1538416882.463 * * [misc]simplify: iters left: 5 (26 enodes) 1538416882.470 * * [misc]simplify: iters left: 4 (42 enodes) 1538416882.482 * * [misc]simplify: iters left: 3 (78 enodes) 1538416882.502 * * [misc]simplify: iters left: 2 (126 enodes) 1538416882.537 * * [misc]simplify: iters left: 1 (179 enodes) 1538416882.584 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416882.585 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416882.585 * * * * [misc]progress: [ 41 / 302 ] simplifiying candidate # 1538416882.585 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416882.585 * * [misc]simplify: iters left: 6 (16 enodes) 1538416882.589 * * [misc]simplify: iters left: 5 (26 enodes) 1538416882.598 * * [misc]simplify: iters left: 4 (38 enodes) 1538416882.607 * * [misc]simplify: iters left: 3 (52 enodes) 1538416882.620 * * [misc]simplify: iters left: 2 (57 enodes) 1538416882.632 * * [misc]simplify: iters left: 1 (64 enodes) 1538416882.647 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416882.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416882.647 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416882.647 * * [misc]simplify: iters left: 6 (15 enodes) 1538416882.652 * * [misc]simplify: iters left: 5 (26 enodes) 1538416882.659 * * [misc]simplify: iters left: 4 (43 enodes) 1538416882.670 * * [misc]simplify: iters left: 3 (79 enodes) 1538416882.688 * * [misc]simplify: iters left: 2 (127 enodes) 1538416882.709 * * [misc]simplify: iters left: 1 (180 enodes) 1538416882.737 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416882.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416882.737 * * * * [misc]progress: [ 42 / 302 ] simplifiying candidate # 1538416882.738 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416882.738 * * [misc]simplify: iters left: 6 (19 enodes) 1538416882.742 * * [misc]simplify: iters left: 5 (34 enodes) 1538416882.752 * * [misc]simplify: iters left: 4 (57 enodes) 1538416882.770 * * [misc]simplify: iters left: 3 (84 enodes) 1538416882.795 * * [misc]simplify: iters left: 2 (118 enodes) 1538416882.829 * * [misc]simplify: iters left: 1 (141 enodes) 1538416882.856 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.856 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416882.857 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.857 * * [misc]simplify: iters left: 6 (18 enodes) 1538416882.860 * * [misc]simplify: iters left: 5 (30 enodes) 1538416882.864 * * [misc]simplify: iters left: 4 (47 enodes) 1538416882.872 * * [misc]simplify: iters left: 3 (83 enodes) 1538416882.882 * * [misc]simplify: iters left: 2 (131 enodes) 1538416882.901 * * [misc]simplify: iters left: 1 (184 enodes) 1538416882.929 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416882.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416882.929 * * * * [misc]progress: [ 43 / 302 ] simplifiying candidate # 1538416882.930 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.930 * * [misc]simplify: iters left: 6 (18 enodes) 1538416882.933 * * [misc]simplify: iters left: 5 (29 enodes) 1538416882.937 * * [misc]simplify: iters left: 4 (41 enodes) 1538416882.943 * * [misc]simplify: iters left: 3 (55 enodes) 1538416882.950 * * [misc]simplify: iters left: 2 (60 enodes) 1538416882.958 * * [misc]simplify: iters left: 1 (67 enodes) 1538416882.966 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416882.966 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416882.966 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416882.966 * * [misc]simplify: iters left: 6 (18 enodes) 1538416882.969 * * [misc]simplify: iters left: 5 (30 enodes) 1538416882.975 * * [misc]simplify: iters left: 4 (47 enodes) 1538416882.989 * * [misc]simplify: iters left: 3 (83 enodes) 1538416883.013 * * [misc]simplify: iters left: 2 (131 enodes) 1538416883.048 * * [misc]simplify: iters left: 1 (184 enodes) 1538416883.100 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416883.101 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416883.101 * * * * [misc]progress: [ 44 / 302 ] simplifiying candidate # 1538416883.101 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416883.101 * * [misc]simplify: iters left: 6 (12 enodes) 1538416883.105 * * [misc]simplify: iters left: 5 (22 enodes) 1538416883.111 * * [misc]simplify: iters left: 4 (35 enodes) 1538416883.121 * * [misc]simplify: iters left: 3 (57 enodes) 1538416883.140 * * [misc]simplify: iters left: 2 (124 enodes) 1538416883.197 * * [misc]simplify: iters left: 1 (186 enodes) 1538416883.226 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416883.226 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416883.226 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416883.227 * * [misc]simplify: iters left: 6 (17 enodes) 1538416883.229 * * [misc]simplify: iters left: 5 (29 enodes) 1538416883.233 * * [misc]simplify: iters left: 4 (46 enodes) 1538416883.240 * * [misc]simplify: iters left: 3 (82 enodes) 1538416883.252 * * [misc]simplify: iters left: 2 (130 enodes) 1538416883.277 * * [misc]simplify: iters left: 1 (183 enodes) 1538416883.312 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1538416883.313 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))))) 1538416883.313 * * * * [misc]progress: [ 45 / 302 ] simplifiying candidate # 1538416883.313 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416883.313 * * [misc]simplify: iters left: 6 (14 enodes) 1538416883.315 * * [misc]simplify: iters left: 5 (22 enodes) 1538416883.318 * * [misc]simplify: iters left: 4 (27 enodes) 1538416883.324 * * [misc]simplify: iters left: 3 (31 enodes) 1538416883.332 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416883.332 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416883.332 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416883.332 * * [misc]simplify: iters left: 6 (15 enodes) 1538416883.337 * * [misc]simplify: iters left: 5 (26 enodes) 1538416883.344 * * [misc]simplify: iters left: 4 (42 enodes) 1538416883.356 * * [misc]simplify: iters left: 3 (78 enodes) 1538416883.378 * * [misc]simplify: iters left: 2 (126 enodes) 1538416883.413 * * [misc]simplify: iters left: 1 (179 enodes) 1538416883.466 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416883.466 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416883.466 * * * * [misc]progress: [ 46 / 302 ] simplifiying candidate # 1538416883.466 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416883.467 * * [misc]simplify: iters left: 6 (14 enodes) 1538416883.469 * * [misc]simplify: iters left: 5 (22 enodes) 1538416883.472 * * [misc]simplify: iters left: 4 (27 enodes) 1538416883.476 * * [misc]simplify: iters left: 3 (31 enodes) 1538416883.481 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416883.481 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416883.482 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416883.482 * * [misc]simplify: iters left: 6 (15 enodes) 1538416883.484 * * [misc]simplify: iters left: 5 (26 enodes) 1538416883.488 * * [misc]simplify: iters left: 4 (42 enodes) 1538416883.496 * * [misc]simplify: iters left: 3 (78 enodes) 1538416883.509 * * [misc]simplify: iters left: 2 (126 enodes) 1538416883.529 * * [misc]simplify: iters left: 1 (179 enodes) 1538416883.574 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416883.574 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416883.574 * * * * [misc]progress: [ 47 / 302 ] simplifiying candidate # 1538416883.574 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416883.575 * * [misc]simplify: iters left: 6 (15 enodes) 1538416883.577 * * [misc]simplify: iters left: 5 (23 enodes) 1538416883.581 * * [misc]simplify: iters left: 4 (31 enodes) 1538416883.585 * * [misc]simplify: iters left: 3 (35 enodes) 1538416883.592 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416883.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416883.592 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416883.592 * * [misc]simplify: iters left: 6 (15 enodes) 1538416883.594 * * [misc]simplify: iters left: 5 (26 enodes) 1538416883.598 * * [misc]simplify: iters left: 4 (43 enodes) 1538416883.604 * * [misc]simplify: iters left: 3 (79 enodes) 1538416883.617 * * [misc]simplify: iters left: 2 (127 enodes) 1538416883.653 * * [misc]simplify: iters left: 1 (180 enodes) 1538416883.705 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416883.705 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416883.705 * * * * [misc]progress: [ 48 / 302 ] simplifiying candidate # 1538416883.705 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416883.706 * * [misc]simplify: iters left: 6 (18 enodes) 1538416883.711 * * [misc]simplify: iters left: 5 (29 enodes) 1538416883.721 * * [misc]simplify: iters left: 4 (39 enodes) 1538416883.732 * * [misc]simplify: iters left: 3 (50 enodes) 1538416883.745 * * [misc]simplify: iters left: 2 (58 enodes) 1538416883.759 * * [misc]simplify: iters left: 1 (60 enodes) 1538416883.774 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416883.774 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416883.775 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416883.775 * * [misc]simplify: iters left: 6 (18 enodes) 1538416883.780 * * [misc]simplify: iters left: 5 (30 enodes) 1538416883.789 * * [misc]simplify: iters left: 4 (47 enodes) 1538416883.802 * * [misc]simplify: iters left: 3 (83 enodes) 1538416883.823 * * [misc]simplify: iters left: 2 (131 enodes) 1538416883.859 * * [misc]simplify: iters left: 1 (184 enodes) 1538416883.914 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416883.914 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416883.914 * * * * [misc]progress: [ 49 / 302 ] simplifiying candidate # 1538416883.914 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416883.914 * * [misc]simplify: iters left: 6 (17 enodes) 1538416883.919 * * [misc]simplify: iters left: 5 (26 enodes) 1538416883.927 * * [misc]simplify: iters left: 4 (34 enodes) 1538416883.935 * * [misc]simplify: iters left: 3 (38 enodes) 1538416883.944 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416883.944 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416883.945 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416883.945 * * [misc]simplify: iters left: 6 (18 enodes) 1538416883.950 * * [misc]simplify: iters left: 5 (30 enodes) 1538416883.959 * * [misc]simplify: iters left: 4 (47 enodes) 1538416883.972 * * [misc]simplify: iters left: 3 (83 enodes) 1538416883.993 * * [misc]simplify: iters left: 2 (131 enodes) 1538416884.031 * * [misc]simplify: iters left: 1 (184 enodes) 1538416884.084 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416884.084 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416884.084 * * * * [misc]progress: [ 50 / 302 ] simplifiying candidate # 1538416884.085 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1538416884.085 * * [misc]simplify: iters left: 6 (11 enodes) 1538416884.088 * * [misc]simplify: iters left: 5 (19 enodes) 1538416884.094 * * [misc]simplify: iters left: 4 (28 enodes) 1538416884.101 * * [misc]simplify: iters left: 3 (32 enodes) 1538416884.108 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416884.108 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416884.108 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416884.108 * * [misc]simplify: iters left: 6 (17 enodes) 1538416884.113 * * [misc]simplify: iters left: 5 (29 enodes) 1538416884.122 * * [misc]simplify: iters left: 4 (46 enodes) 1538416884.134 * * [misc]simplify: iters left: 3 (82 enodes) 1538416884.148 * * [misc]simplify: iters left: 2 (130 enodes) 1538416884.168 * * [misc]simplify: iters left: 1 (183 enodes) 1538416884.194 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1538416884.194 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))))) 1538416884.194 * * * * [misc]progress: [ 51 / 302 ] simplifiying candidate # 1538416884.194 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538416884.195 * * [misc]simplify: iters left: 6 (12 enodes) 1538416884.197 * * [misc]simplify: iters left: 5 (22 enodes) 1538416884.199 * * [misc]simplify: iters left: 4 (26 enodes) 1538416884.203 * * [misc]simplify: iters left: 3 (37 enodes) 1538416884.207 * * [misc]simplify: iters left: 2 (42 enodes) 1538416884.212 * * [misc]simplify: iters left: 1 (51 enodes) 1538416884.218 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416884.218 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416884.218 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416884.219 * * [misc]simplify: iters left: 6 (14 enodes) 1538416884.221 * * [misc]simplify: iters left: 5 (25 enodes) 1538416884.226 * * [misc]simplify: iters left: 4 (41 enodes) 1538416884.231 * * [misc]simplify: iters left: 3 (77 enodes) 1538416884.241 * * [misc]simplify: iters left: 2 (125 enodes) 1538416884.259 * * [misc]simplify: iters left: 1 (178 enodes) 1538416884.285 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.285 * * * * [misc]progress: [ 52 / 302 ] simplifiying candidate # 1538416884.285 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1538416884.285 * * [misc]simplify: iters left: 6 (12 enodes) 1538416884.287 * * [misc]simplify: iters left: 5 (22 enodes) 1538416884.290 * * [misc]simplify: iters left: 4 (26 enodes) 1538416884.294 * * [misc]simplify: iters left: 3 (37 enodes) 1538416884.300 * * [misc]simplify: iters left: 2 (42 enodes) 1538416884.305 * * [misc]simplify: iters left: 1 (51 enodes) 1538416884.311 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416884.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416884.311 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416884.311 * * [misc]simplify: iters left: 6 (14 enodes) 1538416884.314 * * [misc]simplify: iters left: 5 (25 enodes) 1538416884.317 * * [misc]simplify: iters left: 4 (41 enodes) 1538416884.323 * * [misc]simplify: iters left: 3 (77 enodes) 1538416884.333 * * [misc]simplify: iters left: 2 (125 enodes) 1538416884.352 * * [misc]simplify: iters left: 1 (178 enodes) 1538416884.379 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.379 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.379 * * * * [misc]progress: [ 53 / 302 ] simplifiying candidate # 1538416884.379 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416884.379 * * [misc]simplify: iters left: 6 (14 enodes) 1538416884.381 * * [misc]simplify: iters left: 5 (24 enodes) 1538416884.384 * * [misc]simplify: iters left: 4 (31 enodes) 1538416884.389 * * [misc]simplify: iters left: 3 (42 enodes) 1538416884.394 * * [misc]simplify: iters left: 2 (47 enodes) 1538416884.401 * * [misc]simplify: iters left: 1 (57 enodes) 1538416884.408 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538416884.408 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416884.408 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416884.408 * * [misc]simplify: iters left: 6 (14 enodes) 1538416884.410 * * [misc]simplify: iters left: 5 (25 enodes) 1538416884.414 * * [misc]simplify: iters left: 4 (42 enodes) 1538416884.420 * * [misc]simplify: iters left: 3 (78 enodes) 1538416884.430 * * [misc]simplify: iters left: 2 (126 enodes) 1538416884.456 * * [misc]simplify: iters left: 1 (179 enodes) 1538416884.503 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1538416884.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))))) 1538416884.503 * * * * [misc]progress: [ 54 / 302 ] simplifiying candidate # 1538416884.504 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416884.504 * * [misc]simplify: iters left: 6 (17 enodes) 1538416884.507 * * [misc]simplify: iters left: 5 (30 enodes) 1538416884.511 * * [misc]simplify: iters left: 4 (39 enodes) 1538416884.517 * * [misc]simplify: iters left: 3 (56 enodes) 1538416884.525 * * [misc]simplify: iters left: 2 (73 enodes) 1538416884.536 * * [misc]simplify: iters left: 1 (94 enodes) 1538416884.563 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1538416884.563 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416884.563 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416884.563 * * [misc]simplify: iters left: 6 (17 enodes) 1538416884.568 * * [misc]simplify: iters left: 5 (29 enodes) 1538416884.574 * * [misc]simplify: iters left: 4 (46 enodes) 1538416884.580 * * [misc]simplify: iters left: 3 (82 enodes) 1538416884.591 * * [misc]simplify: iters left: 2 (130 enodes) 1538416884.622 * * [misc]simplify: iters left: 1 (183 enodes) 1538416884.675 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.675 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.675 * * * * [misc]progress: [ 55 / 302 ] simplifiying candidate # 1538416884.675 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416884.676 * * [misc]simplify: iters left: 6 (16 enodes) 1538416884.681 * * [misc]simplify: iters left: 5 (27 enodes) 1538416884.688 * * [misc]simplify: iters left: 4 (34 enodes) 1538416884.699 * * [misc]simplify: iters left: 3 (45 enodes) 1538416884.705 * * [misc]simplify: iters left: 2 (50 enodes) 1538416884.711 * * [misc]simplify: iters left: 1 (60 enodes) 1538416884.719 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416884.719 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416884.719 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416884.719 * * [misc]simplify: iters left: 6 (17 enodes) 1538416884.722 * * [misc]simplify: iters left: 5 (29 enodes) 1538416884.726 * * [misc]simplify: iters left: 4 (46 enodes) 1538416884.733 * * [misc]simplify: iters left: 3 (82 enodes) 1538416884.754 * * [misc]simplify: iters left: 2 (130 enodes) 1538416884.784 * * [misc]simplify: iters left: 1 (183 enodes) 1538416884.813 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.813 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.813 * * * * [misc]progress: [ 56 / 302 ] simplifiying candidate # 1538416884.813 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1538416884.813 * * [misc]simplify: iters left: 6 (8 enodes) 1538416884.815 * * [misc]simplify: iters left: 5 (14 enodes) 1538416884.816 * * [misc]simplify: iters left: 4 (16 enodes) 1538416884.818 * * [misc]simplify: iters left: 3 (18 enodes) 1538416884.820 * [exit]simplify: Simplified to (sqrt PI) 1538416884.820 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416884.820 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416884.820 * * [misc]simplify: iters left: 6 (16 enodes) 1538416884.823 * * [misc]simplify: iters left: 5 (28 enodes) 1538416884.827 * * [misc]simplify: iters left: 4 (45 enodes) 1538416884.834 * * [misc]simplify: iters left: 3 (81 enodes) 1538416884.844 * * [misc]simplify: iters left: 2 (129 enodes) 1538416884.863 * * [misc]simplify: iters left: 1 (181 enodes) 1538416884.890 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.890 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.891 * * * * [misc]progress: [ 57 / 302 ] simplifiying candidate # 1538416884.891 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1538416884.891 * * [misc]simplify: iters left: 6 (7 enodes) 1538416884.892 * * [misc]simplify: iters left: 5 (13 enodes) 1538416884.895 * * [misc]simplify: iters left: 4 (19 enodes) 1538416884.897 * [exit]simplify: Simplified to (sqrt PI) 1538416884.897 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416884.897 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416884.897 * * [misc]simplify: iters left: 6 (16 enodes) 1538416884.899 * * [misc]simplify: iters left: 5 (28 enodes) 1538416884.903 * * [misc]simplify: iters left: 4 (45 enodes) 1538416884.910 * * [misc]simplify: iters left: 3 (81 enodes) 1538416884.920 * * [misc]simplify: iters left: 2 (129 enodes) 1538416884.939 * * [misc]simplify: iters left: 1 (181 enodes) 1538416884.981 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416884.981 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416884.982 * * * * [misc]progress: [ 58 / 302 ] simplifiying candidate # 1538416884.982 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1538416884.982 * * [misc]simplify: iters left: 6 (8 enodes) 1538416884.984 * * [misc]simplify: iters left: 5 (12 enodes) 1538416884.988 * * [misc]simplify: iters left: 4 (14 enodes) 1538416884.991 * * [misc]simplify: iters left: 3 (16 enodes) 1538416884.995 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416884.995 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416884.995 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416884.995 * * [misc]simplify: iters left: 6 (16 enodes) 1538416885.000 * * [misc]simplify: iters left: 5 (30 enodes) 1538416885.009 * * [misc]simplify: iters left: 4 (45 enodes) 1538416885.023 * * [misc]simplify: iters left: 3 (88 enodes) 1538416885.046 * * [misc]simplify: iters left: 2 (130 enodes) 1538416885.081 * * [misc]simplify: iters left: 1 (185 enodes) 1538416885.141 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1538416885.141 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1538416885.141 * * * * [misc]progress: [ 59 / 302 ] simplifiying candidate # 1538416885.141 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416885.141 * * [misc]simplify: iters left: 6 (13 enodes) 1538416885.146 * * [misc]simplify: iters left: 5 (21 enodes) 1538416885.152 * * [misc]simplify: iters left: 4 (26 enodes) 1538416885.159 * * [misc]simplify: iters left: 3 (30 enodes) 1538416885.166 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1538416885.166 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416885.167 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416885.167 * * [misc]simplify: iters left: 6 (12 enodes) 1538416885.170 * * [misc]simplify: iters left: 5 (21 enodes) 1538416885.176 * * [misc]simplify: iters left: 4 (34 enodes) 1538416885.186 * * [misc]simplify: iters left: 3 (64 enodes) 1538416885.201 * * [misc]simplify: iters left: 2 (86 enodes) 1538416885.220 * * [misc]simplify: iters left: 1 (94 enodes) 1538416885.237 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538416885.237 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538416885.237 * * * * [misc]progress: [ 60 / 302 ] simplifiying candidate # 1538416885.237 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416885.237 * * [misc]simplify: iters left: 6 (17 enodes) 1538416885.241 * * [misc]simplify: iters left: 5 (25 enodes) 1538416885.244 * * [misc]simplify: iters left: 4 (29 enodes) 1538416885.249 * * [misc]simplify: iters left: 3 (32 enodes) 1538416885.253 * * [misc]simplify: iters left: 2 (33 enodes) 1538416885.258 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416885.258 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416885.258 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416885.258 * * [misc]simplify: iters left: 6 (17 enodes) 1538416885.262 * * [misc]simplify: iters left: 5 (26 enodes) 1538416885.269 * * [misc]simplify: iters left: 4 (45 enodes) 1538416885.282 * * [misc]simplify: iters left: 3 (74 enodes) 1538416885.296 * * [misc]simplify: iters left: 2 (90 enodes) 1538416885.305 * * [misc]simplify: iters left: 1 (100 enodes) 1538416885.316 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416885.316 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416885.316 * * * * [misc]progress: [ 61 / 302 ] simplifiying candidate # 1538416885.317 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416885.317 * * [misc]simplify: iters left: 6 (16 enodes) 1538416885.320 * * [misc]simplify: iters left: 5 (22 enodes) 1538416885.323 * * [misc]simplify: iters left: 4 (26 enodes) 1538416885.332 * * [misc]simplify: iters left: 3 (29 enodes) 1538416885.340 * * [misc]simplify: iters left: 2 (30 enodes) 1538416885.347 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416885.347 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416885.348 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416885.348 * * [misc]simplify: iters left: 6 (17 enodes) 1538416885.353 * * [misc]simplify: iters left: 5 (26 enodes) 1538416885.361 * * [misc]simplify: iters left: 4 (45 enodes) 1538416885.374 * * [misc]simplify: iters left: 3 (74 enodes) 1538416885.392 * * [misc]simplify: iters left: 2 (90 enodes) 1538416885.410 * * [misc]simplify: iters left: 1 (100 enodes) 1538416885.432 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416885.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416885.432 * * * * [misc]progress: [ 62 / 302 ] simplifiying candidate # 1538416885.433 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416885.433 * * [misc]simplify: iters left: 6 (15 enodes) 1538416885.438 * * [misc]simplify: iters left: 5 (24 enodes) 1538416885.445 * * [misc]simplify: iters left: 4 (32 enodes) 1538416885.455 * * [misc]simplify: iters left: 3 (47 enodes) 1538416885.468 * * [misc]simplify: iters left: 2 (53 enodes) 1538416885.482 * * [misc]simplify: iters left: 1 (60 enodes) 1538416885.497 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538416885.497 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416885.498 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416885.498 * * [misc]simplify: iters left: 6 (15 enodes) 1538416885.502 * * [misc]simplify: iters left: 5 (25 enodes) 1538416885.506 * * [misc]simplify: iters left: 4 (46 enodes) 1538416885.513 * * [misc]simplify: iters left: 3 (81 enodes) 1538416885.524 * * [misc]simplify: iters left: 2 (123 enodes) 1538416885.549 * * [misc]simplify: iters left: 1 (177 enodes) 1538416885.600 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416885.600 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416885.600 * * * * [misc]progress: [ 63 / 302 ] simplifiying candidate # 1538416885.601 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416885.601 * * [misc]simplify: iters left: 6 (15 enodes) 1538416885.606 * * [misc]simplify: iters left: 5 (24 enodes) 1538416885.613 * * [misc]simplify: iters left: 4 (32 enodes) 1538416885.623 * * [misc]simplify: iters left: 3 (47 enodes) 1538416885.636 * * [misc]simplify: iters left: 2 (53 enodes) 1538416885.648 * * [misc]simplify: iters left: 1 (60 enodes) 1538416885.663 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538416885.663 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416885.663 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416885.663 * * [misc]simplify: iters left: 6 (15 enodes) 1538416885.667 * * [misc]simplify: iters left: 5 (25 enodes) 1538416885.674 * * [misc]simplify: iters left: 4 (46 enodes) 1538416885.687 * * [misc]simplify: iters left: 3 (81 enodes) 1538416885.704 * * [misc]simplify: iters left: 2 (123 enodes) 1538416885.721 * * [misc]simplify: iters left: 1 (177 enodes) 1538416885.771 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416885.771 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416885.771 * * * * [misc]progress: [ 64 / 302 ] simplifiying candidate # 1538416885.771 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416885.771 * * [misc]simplify: iters left: 6 (16 enodes) 1538416885.777 * * [misc]simplify: iters left: 5 (25 enodes) 1538416885.785 * * [misc]simplify: iters left: 4 (36 enodes) 1538416885.796 * * [misc]simplify: iters left: 3 (51 enodes) 1538416885.810 * * [misc]simplify: iters left: 2 (57 enodes) 1538416885.824 * * [misc]simplify: iters left: 1 (64 enodes) 1538416885.840 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538416885.840 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416885.840 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416885.841 * * [misc]simplify: iters left: 6 (15 enodes) 1538416885.845 * * [misc]simplify: iters left: 5 (25 enodes) 1538416885.852 * * [misc]simplify: iters left: 4 (47 enodes) 1538416885.866 * * [misc]simplify: iters left: 3 (82 enodes) 1538416885.889 * * [misc]simplify: iters left: 2 (124 enodes) 1538416885.921 * * [misc]simplify: iters left: 1 (178 enodes) 1538416885.955 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416885.955 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416885.955 * * * * [misc]progress: [ 65 / 302 ] simplifiying candidate # 1538416885.956 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416885.956 * * [misc]simplify: iters left: 6 (19 enodes) 1538416885.959 * * [misc]simplify: iters left: 5 (33 enodes) 1538416885.965 * * [misc]simplify: iters left: 4 (55 enodes) 1538416885.975 * * [misc]simplify: iters left: 3 (83 enodes) 1538416886.002 * * [misc]simplify: iters left: 2 (118 enodes) 1538416886.037 * * [misc]simplify: iters left: 1 (141 enodes) 1538416886.065 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1538416886.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416886.065 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416886.065 * * [misc]simplify: iters left: 6 (18 enodes) 1538416886.068 * * [misc]simplify: iters left: 5 (29 enodes) 1538416886.072 * * [misc]simplify: iters left: 4 (51 enodes) 1538416886.079 * * [misc]simplify: iters left: 3 (86 enodes) 1538416886.091 * * [misc]simplify: iters left: 2 (128 enodes) 1538416886.108 * * [misc]simplify: iters left: 1 (183 enodes) 1538416886.150 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.150 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.150 * * * * [misc]progress: [ 66 / 302 ] simplifiying candidate # 1538416886.151 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416886.151 * * [misc]simplify: iters left: 6 (18 enodes) 1538416886.156 * * [misc]simplify: iters left: 5 (28 enodes) 1538416886.163 * * [misc]simplify: iters left: 4 (39 enodes) 1538416886.173 * * [misc]simplify: iters left: 3 (54 enodes) 1538416886.185 * * [misc]simplify: iters left: 2 (60 enodes) 1538416886.199 * * [misc]simplify: iters left: 1 (67 enodes) 1538416886.214 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538416886.214 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416886.214 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416886.214 * * [misc]simplify: iters left: 6 (18 enodes) 1538416886.220 * * [misc]simplify: iters left: 5 (29 enodes) 1538416886.228 * * [misc]simplify: iters left: 4 (51 enodes) 1538416886.242 * * [misc]simplify: iters left: 3 (86 enodes) 1538416886.263 * * [misc]simplify: iters left: 2 (128 enodes) 1538416886.298 * * [misc]simplify: iters left: 1 (183 enodes) 1538416886.352 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.352 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.352 * * * * [misc]progress: [ 67 / 302 ] simplifiying candidate # 1538416886.352 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416886.352 * * [misc]simplify: iters left: 6 (12 enodes) 1538416886.357 * * [misc]simplify: iters left: 5 (21 enodes) 1538416886.364 * * [misc]simplify: iters left: 4 (33 enodes) 1538416886.373 * * [misc]simplify: iters left: 3 (56 enodes) 1538416886.382 * * [misc]simplify: iters left: 2 (119 enodes) 1538416886.407 * * [misc]simplify: iters left: 1 (173 enodes) 1538416886.435 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416886.435 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416886.436 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416886.436 * * [misc]simplify: iters left: 6 (17 enodes) 1538416886.443 * * [misc]simplify: iters left: 5 (28 enodes) 1538416886.450 * * [misc]simplify: iters left: 4 (50 enodes) 1538416886.458 * * [misc]simplify: iters left: 3 (85 enodes) 1538416886.468 * * [misc]simplify: iters left: 2 (127 enodes) 1538416886.489 * * [misc]simplify: iters left: 1 (181 enodes) 1538416886.528 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.528 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.528 * * * * [misc]progress: [ 68 / 302 ] simplifiying candidate # 1538416886.528 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416886.528 * * [misc]simplify: iters left: 6 (14 enodes) 1538416886.531 * * [misc]simplify: iters left: 5 (21 enodes) 1538416886.535 * * [misc]simplify: iters left: 4 (25 enodes) 1538416886.539 * * [misc]simplify: iters left: 3 (30 enodes) 1538416886.543 * * [misc]simplify: iters left: 2 (31 enodes) 1538416886.550 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416886.550 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416886.551 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416886.551 * * [misc]simplify: iters left: 6 (15 enodes) 1538416886.556 * * [misc]simplify: iters left: 5 (25 enodes) 1538416886.563 * * [misc]simplify: iters left: 4 (46 enodes) 1538416886.576 * * [misc]simplify: iters left: 3 (81 enodes) 1538416886.590 * * [misc]simplify: iters left: 2 (123 enodes) 1538416886.611 * * [misc]simplify: iters left: 1 (177 enodes) 1538416886.646 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.646 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.646 * * * * [misc]progress: [ 69 / 302 ] simplifiying candidate # 1538416886.646 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416886.646 * * [misc]simplify: iters left: 6 (14 enodes) 1538416886.649 * * [misc]simplify: iters left: 5 (21 enodes) 1538416886.652 * * [misc]simplify: iters left: 4 (25 enodes) 1538416886.656 * * [misc]simplify: iters left: 3 (30 enodes) 1538416886.663 * * [misc]simplify: iters left: 2 (31 enodes) 1538416886.670 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416886.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416886.671 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416886.671 * * [misc]simplify: iters left: 6 (15 enodes) 1538416886.675 * * [misc]simplify: iters left: 5 (25 enodes) 1538416886.683 * * [misc]simplify: iters left: 4 (46 enodes) 1538416886.696 * * [misc]simplify: iters left: 3 (81 enodes) 1538416886.716 * * [misc]simplify: iters left: 2 (123 enodes) 1538416886.748 * * [misc]simplify: iters left: 1 (177 enodes) 1538416886.775 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.775 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.775 * * * * [misc]progress: [ 70 / 302 ] simplifiying candidate # 1538416886.775 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416886.775 * * [misc]simplify: iters left: 6 (15 enodes) 1538416886.780 * * [misc]simplify: iters left: 5 (22 enodes) 1538416886.787 * * [misc]simplify: iters left: 4 (29 enodes) 1538416886.795 * * [misc]simplify: iters left: 3 (34 enodes) 1538416886.804 * * [misc]simplify: iters left: 2 (35 enodes) 1538416886.812 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416886.813 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416886.813 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416886.813 * * [misc]simplify: iters left: 6 (15 enodes) 1538416886.818 * * [misc]simplify: iters left: 5 (25 enodes) 1538416886.825 * * [misc]simplify: iters left: 4 (47 enodes) 1538416886.837 * * [misc]simplify: iters left: 3 (82 enodes) 1538416886.847 * * [misc]simplify: iters left: 2 (124 enodes) 1538416886.864 * * [misc]simplify: iters left: 1 (178 enodes) 1538416886.892 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416886.892 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416886.892 * * * * [misc]progress: [ 71 / 302 ] simplifiying candidate # 1538416886.893 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416886.893 * * [misc]simplify: iters left: 6 (18 enodes) 1538416886.896 * * [misc]simplify: iters left: 5 (28 enodes) 1538416886.900 * * [misc]simplify: iters left: 4 (37 enodes) 1538416886.906 * * [misc]simplify: iters left: 3 (49 enodes) 1538416886.913 * * [misc]simplify: iters left: 2 (58 enodes) 1538416886.920 * * [misc]simplify: iters left: 1 (60 enodes) 1538416886.928 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1538416886.928 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416886.928 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416886.928 * * [misc]simplify: iters left: 6 (18 enodes) 1538416886.931 * * [misc]simplify: iters left: 5 (29 enodes) 1538416886.935 * * [misc]simplify: iters left: 4 (51 enodes) 1538416886.950 * * [misc]simplify: iters left: 3 (86 enodes) 1538416886.973 * * [misc]simplify: iters left: 2 (128 enodes) 1538416887.006 * * [misc]simplify: iters left: 1 (183 enodes) 1538416887.043 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416887.043 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416887.043 * * * * [misc]progress: [ 72 / 302 ] simplifiying candidate # 1538416887.043 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416887.044 * * [misc]simplify: iters left: 6 (17 enodes) 1538416887.046 * * [misc]simplify: iters left: 5 (25 enodes) 1538416887.050 * * [misc]simplify: iters left: 4 (32 enodes) 1538416887.054 * * [misc]simplify: iters left: 3 (37 enodes) 1538416887.059 * * [misc]simplify: iters left: 2 (38 enodes) 1538416887.065 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416887.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416887.066 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416887.066 * * [misc]simplify: iters left: 6 (18 enodes) 1538416887.068 * * [misc]simplify: iters left: 5 (29 enodes) 1538416887.073 * * [misc]simplify: iters left: 4 (51 enodes) 1538416887.080 * * [misc]simplify: iters left: 3 (86 enodes) 1538416887.091 * * [misc]simplify: iters left: 2 (128 enodes) 1538416887.109 * * [misc]simplify: iters left: 1 (183 enodes) 1538416887.145 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416887.145 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416887.145 * * * * [misc]progress: [ 73 / 302 ] simplifiying candidate # 1538416887.145 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538416887.146 * * [misc]simplify: iters left: 6 (11 enodes) 1538416887.149 * * [misc]simplify: iters left: 5 (18 enodes) 1538416887.152 * * [misc]simplify: iters left: 4 (26 enodes) 1538416887.155 * * [misc]simplify: iters left: 3 (31 enodes) 1538416887.158 * * [misc]simplify: iters left: 2 (32 enodes) 1538416887.161 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416887.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416887.161 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416887.162 * * [misc]simplify: iters left: 6 (17 enodes) 1538416887.164 * * [misc]simplify: iters left: 5 (28 enodes) 1538416887.168 * * [misc]simplify: iters left: 4 (50 enodes) 1538416887.176 * * [misc]simplify: iters left: 3 (85 enodes) 1538416887.197 * * [misc]simplify: iters left: 2 (127 enodes) 1538416887.230 * * [misc]simplify: iters left: 1 (181 enodes) 1538416887.282 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416887.282 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416887.282 * * * * [misc]progress: [ 74 / 302 ] simplifiying candidate # 1538416887.282 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538416887.282 * * [misc]simplify: iters left: 6 (12 enodes) 1538416887.287 * * [misc]simplify: iters left: 5 (21 enodes) 1538416887.292 * * [misc]simplify: iters left: 4 (24 enodes) 1538416887.299 * * [misc]simplify: iters left: 3 (36 enodes) 1538416887.309 * * [misc]simplify: iters left: 2 (42 enodes) 1538416887.319 * * [misc]simplify: iters left: 1 (51 enodes) 1538416887.330 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416887.330 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416887.330 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416887.331 * * [misc]simplify: iters left: 6 (14 enodes) 1538416887.335 * * [misc]simplify: iters left: 5 (24 enodes) 1538416887.342 * * [misc]simplify: iters left: 4 (45 enodes) 1538416887.355 * * [misc]simplify: iters left: 3 (80 enodes) 1538416887.375 * * [misc]simplify: iters left: 2 (122 enodes) 1538416887.408 * * [misc]simplify: iters left: 1 (177 enodes) 1538416887.458 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416887.458 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416887.458 * * * * [misc]progress: [ 75 / 302 ] simplifiying candidate # 1538416887.459 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538416887.459 * * [misc]simplify: iters left: 6 (12 enodes) 1538416887.461 * * [misc]simplify: iters left: 5 (21 enodes) 1538416887.464 * * [misc]simplify: iters left: 4 (24 enodes) 1538416887.468 * * [misc]simplify: iters left: 3 (36 enodes) 1538416887.473 * * [misc]simplify: iters left: 2 (42 enodes) 1538416887.478 * * [misc]simplify: iters left: 1 (51 enodes) 1538416887.484 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416887.485 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416887.485 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416887.485 * * [misc]simplify: iters left: 6 (14 enodes) 1538416887.489 * * [misc]simplify: iters left: 5 (24 enodes) 1538416887.497 * * [misc]simplify: iters left: 4 (45 enodes) 1538416887.505 * * [misc]simplify: iters left: 3 (80 enodes) 1538416887.516 * * [misc]simplify: iters left: 2 (122 enodes) 1538416887.540 * * [misc]simplify: iters left: 1 (177 enodes) 1538416887.591 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416887.591 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416887.591 * * * * [misc]progress: [ 76 / 302 ] simplifiying candidate # 1538416887.592 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416887.592 * * [misc]simplify: iters left: 6 (14 enodes) 1538416887.597 * * [misc]simplify: iters left: 5 (23 enodes) 1538416887.603 * * [misc]simplify: iters left: 4 (29 enodes) 1538416887.612 * * [misc]simplify: iters left: 3 (41 enodes) 1538416887.623 * * [misc]simplify: iters left: 2 (47 enodes) 1538416887.634 * * [misc]simplify: iters left: 1 (57 enodes) 1538416887.647 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538416887.647 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416887.648 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416887.648 * * [misc]simplify: iters left: 6 (14 enodes) 1538416887.652 * * [misc]simplify: iters left: 5 (24 enodes) 1538416887.661 * * [misc]simplify: iters left: 4 (46 enodes) 1538416887.674 * * [misc]simplify: iters left: 3 (81 enodes) 1538416887.695 * * [misc]simplify: iters left: 2 (123 enodes) 1538416887.728 * * [misc]simplify: iters left: 1 (178 enodes) 1538416887.757 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416887.757 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416887.757 * * * * [misc]progress: [ 77 / 302 ] simplifiying candidate # 1538416887.757 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416887.758 * * [misc]simplify: iters left: 6 (17 enodes) 1538416887.761 * * [misc]simplify: iters left: 5 (29 enodes) 1538416887.766 * * [misc]simplify: iters left: 4 (37 enodes) 1538416887.774 * * [misc]simplify: iters left: 3 (55 enodes) 1538416887.782 * * [misc]simplify: iters left: 2 (74 enodes) 1538416887.793 * * [misc]simplify: iters left: 1 (95 enodes) 1538416887.822 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538416887.822 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416887.822 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416887.822 * * [misc]simplify: iters left: 6 (17 enodes) 1538416887.825 * * [misc]simplify: iters left: 5 (28 enodes) 1538416887.829 * * [misc]simplify: iters left: 4 (50 enodes) 1538416887.836 * * [misc]simplify: iters left: 3 (85 enodes) 1538416887.847 * * [misc]simplify: iters left: 2 (127 enodes) 1538416887.881 * * [misc]simplify: iters left: 1 (181 enodes) 1538416887.917 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416887.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416887.917 * * * * [misc]progress: [ 78 / 302 ] simplifiying candidate # 1538416887.917 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416887.917 * * [misc]simplify: iters left: 6 (16 enodes) 1538416887.920 * * [misc]simplify: iters left: 5 (26 enodes) 1538416887.924 * * [misc]simplify: iters left: 4 (32 enodes) 1538416887.929 * * [misc]simplify: iters left: 3 (44 enodes) 1538416887.935 * * [misc]simplify: iters left: 2 (50 enodes) 1538416887.941 * * [misc]simplify: iters left: 1 (60 enodes) 1538416887.948 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416887.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416887.948 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416887.948 * * [misc]simplify: iters left: 6 (17 enodes) 1538416887.951 * * [misc]simplify: iters left: 5 (28 enodes) 1538416887.955 * * [misc]simplify: iters left: 4 (50 enodes) 1538416887.963 * * [misc]simplify: iters left: 3 (85 enodes) 1538416887.984 * * [misc]simplify: iters left: 2 (127 enodes) 1538416888.005 * * [misc]simplify: iters left: 1 (181 enodes) 1538416888.031 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416888.031 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416888.031 * * * * [misc]progress: [ 79 / 302 ] simplifiying candidate # 1538416888.032 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538416888.032 * * [misc]simplify: iters left: 6 (8 enodes) 1538416888.035 * * [misc]simplify: iters left: 5 (13 enodes) 1538416888.039 * * [misc]simplify: iters left: 4 (14 enodes) 1538416888.042 * * [misc]simplify: iters left: 3 (17 enodes) 1538416888.047 * * [misc]simplify: iters left: 2 (18 enodes) 1538416888.051 * * [misc]simplify: iters left: 1 (20 enodes) 1538416888.055 * [exit]simplify: Simplified to (sqrt PI) 1538416888.055 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416888.055 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416888.055 * * [misc]simplify: iters left: 6 (16 enodes) 1538416888.060 * * [misc]simplify: iters left: 5 (27 enodes) 1538416888.070 * * [misc]simplify: iters left: 4 (49 enodes) 1538416888.084 * * [misc]simplify: iters left: 3 (84 enodes) 1538416888.105 * * [misc]simplify: iters left: 2 (126 enodes) 1538416888.124 * * [misc]simplify: iters left: 1 (181 enodes) 1538416888.163 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416888.163 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416888.163 * * * * [misc]progress: [ 80 / 302 ] simplifiying candidate # 1538416888.164 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538416888.164 * * [misc]simplify: iters left: 6 (7 enodes) 1538416888.165 * * [misc]simplify: iters left: 5 (12 enodes) 1538416888.167 * * [misc]simplify: iters left: 4 (17 enodes) 1538416888.169 * * [misc]simplify: iters left: 3 (19 enodes) 1538416888.171 * [exit]simplify: Simplified to (sqrt PI) 1538416888.171 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416888.172 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416888.172 * * [misc]simplify: iters left: 6 (16 enodes) 1538416888.174 * * [misc]simplify: iters left: 5 (27 enodes) 1538416888.180 * * [misc]simplify: iters left: 4 (49 enodes) 1538416888.190 * * [misc]simplify: iters left: 3 (84 enodes) 1538416888.211 * * [misc]simplify: iters left: 2 (126 enodes) 1538416888.245 * * [misc]simplify: iters left: 1 (181 enodes) 1538416888.296 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416888.296 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416888.296 * * * * [misc]progress: [ 81 / 302 ] simplifiying candidate # 1538416888.297 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538416888.297 * * [misc]simplify: iters left: 6 (8 enodes) 1538416888.300 * * [misc]simplify: iters left: 5 (11 enodes) 1538416888.303 * * [misc]simplify: iters left: 4 (12 enodes) 1538416888.306 * * [misc]simplify: iters left: 3 (15 enodes) 1538416888.312 * * [misc]simplify: iters left: 2 (16 enodes) 1538416888.318 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416888.318 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416888.318 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416888.318 * * [misc]simplify: iters left: 6 (16 enodes) 1538416888.323 * * [misc]simplify: iters left: 5 (29 enodes) 1538416888.331 * * [misc]simplify: iters left: 4 (49 enodes) 1538416888.346 * * [misc]simplify: iters left: 3 (91 enodes) 1538416888.369 * * [misc]simplify: iters left: 2 (126 enodes) 1538416888.387 * * [misc]simplify: iters left: 1 (183 enodes) 1538416888.439 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538416888.439 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538416888.439 * * * * [misc]progress: [ 82 / 302 ] simplifiying candidate # 1538416888.439 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416888.439 * * [misc]simplify: iters left: 6 (13 enodes) 1538416888.444 * * [misc]simplify: iters left: 5 (20 enodes) 1538416888.450 * * [misc]simplify: iters left: 4 (24 enodes) 1538416888.456 * * [misc]simplify: iters left: 3 (29 enodes) 1538416888.460 * * [misc]simplify: iters left: 2 (30 enodes) 1538416888.464 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538416888.464 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1538416888.464 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538416888.464 * * [misc]simplify: iters left: 6 (12 enodes) 1538416888.466 * * [misc]simplify: iters left: 5 (20 enodes) 1538416888.469 * * [misc]simplify: iters left: 4 (38 enodes) 1538416888.474 * * [misc]simplify: iters left: 3 (67 enodes) 1538416888.482 * * [misc]simplify: iters left: 2 (83 enodes) 1538416888.493 * * [misc]simplify: iters left: 1 (93 enodes) 1538416888.513 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538416888.513 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538416888.513 * * * * [misc]progress: [ 83 / 302 ] simplifiying candidate # 1538416888.513 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416888.513 * * [misc]simplify: iters left: 6 (17 enodes) 1538416888.519 * * [misc]simplify: iters left: 5 (25 enodes) 1538416888.527 * * [misc]simplify: iters left: 4 (29 enodes) 1538416888.535 * * [misc]simplify: iters left: 3 (32 enodes) 1538416888.543 * * [misc]simplify: iters left: 2 (33 enodes) 1538416888.552 * [exit]simplify: Simplified to (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416888.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416888.554 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416888.554 * * [misc]simplify: iters left: 6 (17 enodes) 1538416888.560 * * [misc]simplify: iters left: 5 (26 enodes) 1538416888.567 * * [misc]simplify: iters left: 4 (45 enodes) 1538416888.579 * * [misc]simplify: iters left: 3 (74 enodes) 1538416888.596 * * [misc]simplify: iters left: 2 (90 enodes) 1538416888.615 * * [misc]simplify: iters left: 1 (100 enodes) 1538416888.636 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416888.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416888.636 * * * * [misc]progress: [ 84 / 302 ] simplifiying candidate # 1538416888.636 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416888.637 * * [misc]simplify: iters left: 6 (16 enodes) 1538416888.642 * * [misc]simplify: iters left: 5 (22 enodes) 1538416888.648 * * [misc]simplify: iters left: 4 (26 enodes) 1538416888.655 * * [misc]simplify: iters left: 3 (29 enodes) 1538416888.663 * * [misc]simplify: iters left: 2 (30 enodes) 1538416888.670 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416888.670 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416888.670 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416888.671 * * [misc]simplify: iters left: 6 (17 enodes) 1538416888.676 * * [misc]simplify: iters left: 5 (26 enodes) 1538416888.683 * * [misc]simplify: iters left: 4 (45 enodes) 1538416888.695 * * [misc]simplify: iters left: 3 (74 enodes) 1538416888.714 * * [misc]simplify: iters left: 2 (90 enodes) 1538416888.733 * * [misc]simplify: iters left: 1 (100 enodes) 1538416888.753 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416888.753 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416888.753 * * * * [misc]progress: [ 85 / 302 ] simplifiying candidate # 1538416888.754 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416888.754 * * [misc]simplify: iters left: 6 (15 enodes) 1538416888.759 * * [misc]simplify: iters left: 5 (24 enodes) 1538416888.765 * * [misc]simplify: iters left: 4 (32 enodes) 1538416888.775 * * [misc]simplify: iters left: 3 (47 enodes) 1538416888.788 * * [misc]simplify: iters left: 2 (53 enodes) 1538416888.801 * * [misc]simplify: iters left: 1 (60 enodes) 1538416888.810 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538416888.810 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416888.810 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416888.810 * * [misc]simplify: iters left: 6 (15 enodes) 1538416888.813 * * [misc]simplify: iters left: 5 (25 enodes) 1538416888.816 * * [misc]simplify: iters left: 4 (46 enodes) 1538416888.823 * * [misc]simplify: iters left: 3 (81 enodes) 1538416888.838 * * [misc]simplify: iters left: 2 (123 enodes) 1538416888.869 * * [misc]simplify: iters left: 1 (177 enodes) 1538416888.895 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416888.896 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416888.896 * * * * [misc]progress: [ 86 / 302 ] simplifiying candidate # 1538416888.896 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416888.896 * * [misc]simplify: iters left: 6 (15 enodes) 1538416888.899 * * [misc]simplify: iters left: 5 (24 enodes) 1538416888.905 * * [misc]simplify: iters left: 4 (32 enodes) 1538416888.914 * * [misc]simplify: iters left: 3 (47 enodes) 1538416888.927 * * [misc]simplify: iters left: 2 (53 enodes) 1538416888.939 * * [misc]simplify: iters left: 1 (60 enodes) 1538416888.947 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1538416888.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416888.947 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416888.947 * * [misc]simplify: iters left: 6 (15 enodes) 1538416888.949 * * [misc]simplify: iters left: 5 (25 enodes) 1538416888.953 * * [misc]simplify: iters left: 4 (46 enodes) 1538416888.963 * * [misc]simplify: iters left: 3 (81 enodes) 1538416888.981 * * [misc]simplify: iters left: 2 (123 enodes) 1538416888.998 * * [misc]simplify: iters left: 1 (177 enodes) 1538416889.040 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416889.040 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416889.040 * * * * [misc]progress: [ 87 / 302 ] simplifiying candidate # 1538416889.041 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416889.041 * * [misc]simplify: iters left: 6 (16 enodes) 1538416889.047 * * [misc]simplify: iters left: 5 (25 enodes) 1538416889.054 * * [misc]simplify: iters left: 4 (36 enodes) 1538416889.065 * * [misc]simplify: iters left: 3 (51 enodes) 1538416889.079 * * [misc]simplify: iters left: 2 (57 enodes) 1538416889.093 * * [misc]simplify: iters left: 1 (64 enodes) 1538416889.109 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1538416889.109 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416889.109 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416889.109 * * [misc]simplify: iters left: 6 (15 enodes) 1538416889.114 * * [misc]simplify: iters left: 5 (25 enodes) 1538416889.122 * * [misc]simplify: iters left: 4 (47 enodes) 1538416889.133 * * [misc]simplify: iters left: 3 (82 enodes) 1538416889.144 * * [misc]simplify: iters left: 2 (124 enodes) 1538416889.164 * * [misc]simplify: iters left: 1 (178 enodes) 1538416889.214 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416889.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416889.215 * * * * [misc]progress: [ 88 / 302 ] simplifiying candidate # 1538416889.215 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416889.215 * * [misc]simplify: iters left: 6 (19 enodes) 1538416889.222 * * [misc]simplify: iters left: 5 (33 enodes) 1538416889.232 * * [misc]simplify: iters left: 4 (55 enodes) 1538416889.249 * * [misc]simplify: iters left: 3 (83 enodes) 1538416889.263 * * [misc]simplify: iters left: 2 (118 enodes) 1538416889.283 * * [misc]simplify: iters left: 1 (141 enodes) 1538416889.308 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) 1538416889.308 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416889.309 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416889.309 * * [misc]simplify: iters left: 6 (18 enodes) 1538416889.314 * * [misc]simplify: iters left: 5 (29 enodes) 1538416889.323 * * [misc]simplify: iters left: 4 (51 enodes) 1538416889.337 * * [misc]simplify: iters left: 3 (86 enodes) 1538416889.358 * * [misc]simplify: iters left: 2 (128 enodes) 1538416889.391 * * [misc]simplify: iters left: 1 (183 enodes) 1538416889.445 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416889.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt PI) (* (cbrt (sqrt k)) (cbrt (sqrt k)))))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416889.445 * * * * [misc]progress: [ 89 / 302 ] simplifiying candidate # 1538416889.445 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416889.445 * * [misc]simplify: iters left: 6 (18 enodes) 1538416889.452 * * [misc]simplify: iters left: 5 (28 enodes) 1538416889.460 * * [misc]simplify: iters left: 4 (39 enodes) 1538416889.471 * * [misc]simplify: iters left: 3 (54 enodes) 1538416889.486 * * [misc]simplify: iters left: 2 (60 enodes) 1538416889.500 * * [misc]simplify: iters left: 1 (67 enodes) 1538416889.517 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1538416889.517 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416889.517 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416889.517 * * [misc]simplify: iters left: 6 (18 enodes) 1538416889.523 * * [misc]simplify: iters left: 5 (29 enodes) 1538416889.531 * * [misc]simplify: iters left: 4 (51 enodes) 1538416889.547 * * [misc]simplify: iters left: 3 (86 enodes) 1538416889.568 * * [misc]simplify: iters left: 2 (128 enodes) 1538416889.603 * * [misc]simplify: iters left: 1 (183 enodes) 1538416889.655 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416889.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416889.655 * * * * [misc]progress: [ 90 / 302 ] simplifiying candidate # 1538416889.655 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416889.655 * * [misc]simplify: iters left: 6 (12 enodes) 1538416889.660 * * [misc]simplify: iters left: 5 (21 enodes) 1538416889.666 * * [misc]simplify: iters left: 4 (33 enodes) 1538416889.676 * * [misc]simplify: iters left: 3 (56 enodes) 1538416889.692 * * [misc]simplify: iters left: 2 (119 enodes) 1538416889.719 * * [misc]simplify: iters left: 1 (173 enodes) 1538416889.747 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1538416889.747 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416889.747 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416889.748 * * [misc]simplify: iters left: 6 (17 enodes) 1538416889.753 * * [misc]simplify: iters left: 5 (28 enodes) 1538416889.761 * * [misc]simplify: iters left: 4 (50 enodes) 1538416889.776 * * [misc]simplify: iters left: 3 (85 enodes) 1538416889.797 * * [misc]simplify: iters left: 2 (127 enodes) 1538416889.833 * * [misc]simplify: iters left: 1 (181 enodes) 1538416889.885 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1538416889.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))))) 1538416889.885 * * * * [misc]progress: [ 91 / 302 ] simplifiying candidate # 1538416889.885 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416889.886 * * [misc]simplify: iters left: 6 (14 enodes) 1538416889.890 * * [misc]simplify: iters left: 5 (21 enodes) 1538416889.897 * * [misc]simplify: iters left: 4 (25 enodes) 1538416889.904 * * [misc]simplify: iters left: 3 (30 enodes) 1538416889.912 * * [misc]simplify: iters left: 2 (31 enodes) 1538416889.919 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416889.920 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416889.920 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416889.920 * * [misc]simplify: iters left: 6 (15 enodes) 1538416889.925 * * [misc]simplify: iters left: 5 (25 enodes) 1538416889.932 * * [misc]simplify: iters left: 4 (46 enodes) 1538416889.945 * * [misc]simplify: iters left: 3 (81 enodes) 1538416889.967 * * [misc]simplify: iters left: 2 (123 enodes) 1538416890.000 * * [misc]simplify: iters left: 1 (177 enodes) 1538416890.051 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.051 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.051 * * * * [misc]progress: [ 92 / 302 ] simplifiying candidate # 1538416890.051 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416890.051 * * [misc]simplify: iters left: 6 (14 enodes) 1538416890.056 * * [misc]simplify: iters left: 5 (21 enodes) 1538416890.062 * * [misc]simplify: iters left: 4 (25 enodes) 1538416890.069 * * [misc]simplify: iters left: 3 (30 enodes) 1538416890.076 * * [misc]simplify: iters left: 2 (31 enodes) 1538416890.084 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416890.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416890.084 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416890.084 * * [misc]simplify: iters left: 6 (15 enodes) 1538416890.089 * * [misc]simplify: iters left: 5 (25 enodes) 1538416890.098 * * [misc]simplify: iters left: 4 (46 enodes) 1538416890.111 * * [misc]simplify: iters left: 3 (81 enodes) 1538416890.132 * * [misc]simplify: iters left: 2 (123 enodes) 1538416890.164 * * [misc]simplify: iters left: 1 (177 enodes) 1538416890.214 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.214 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.214 * * * * [misc]progress: [ 93 / 302 ] simplifiying candidate # 1538416890.214 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416890.215 * * [misc]simplify: iters left: 6 (15 enodes) 1538416890.220 * * [misc]simplify: iters left: 5 (22 enodes) 1538416890.226 * * [misc]simplify: iters left: 4 (29 enodes) 1538416890.235 * * [misc]simplify: iters left: 3 (34 enodes) 1538416890.246 * * [misc]simplify: iters left: 2 (35 enodes) 1538416890.255 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416890.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416890.255 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416890.255 * * [misc]simplify: iters left: 6 (15 enodes) 1538416890.259 * * [misc]simplify: iters left: 5 (25 enodes) 1538416890.265 * * [misc]simplify: iters left: 4 (47 enodes) 1538416890.272 * * [misc]simplify: iters left: 3 (82 enodes) 1538416890.282 * * [misc]simplify: iters left: 2 (124 enodes) 1538416890.303 * * [misc]simplify: iters left: 1 (178 enodes) 1538416890.356 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.356 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.356 * * * * [misc]progress: [ 94 / 302 ] simplifiying candidate # 1538416890.356 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416890.357 * * [misc]simplify: iters left: 6 (18 enodes) 1538416890.363 * * [misc]simplify: iters left: 5 (28 enodes) 1538416890.371 * * [misc]simplify: iters left: 4 (37 enodes) 1538416890.381 * * [misc]simplify: iters left: 3 (49 enodes) 1538416890.395 * * [misc]simplify: iters left: 2 (58 enodes) 1538416890.408 * * [misc]simplify: iters left: 1 (60 enodes) 1538416890.424 * [exit]simplify: Simplified to (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) 1538416890.424 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416890.425 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416890.425 * * [misc]simplify: iters left: 6 (18 enodes) 1538416890.430 * * [misc]simplify: iters left: 5 (29 enodes) 1538416890.439 * * [misc]simplify: iters left: 4 (51 enodes) 1538416890.453 * * [misc]simplify: iters left: 3 (86 enodes) 1538416890.475 * * [misc]simplify: iters left: 2 (128 enodes) 1538416890.507 * * [misc]simplify: iters left: 1 (183 enodes) 1538416890.552 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.552 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt PI))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.553 * * * * [misc]progress: [ 95 / 302 ] simplifiying candidate # 1538416890.553 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416890.553 * * [misc]simplify: iters left: 6 (17 enodes) 1538416890.558 * * [misc]simplify: iters left: 5 (25 enodes) 1538416890.564 * * [misc]simplify: iters left: 4 (32 enodes) 1538416890.571 * * [misc]simplify: iters left: 3 (37 enodes) 1538416890.579 * * [misc]simplify: iters left: 2 (38 enodes) 1538416890.588 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1538416890.588 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416890.588 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416890.588 * * [misc]simplify: iters left: 6 (18 enodes) 1538416890.592 * * [misc]simplify: iters left: 5 (29 enodes) 1538416890.596 * * [misc]simplify: iters left: 4 (51 enodes) 1538416890.604 * * [misc]simplify: iters left: 3 (86 enodes) 1538416890.616 * * [misc]simplify: iters left: 2 (128 enodes) 1538416890.634 * * [misc]simplify: iters left: 1 (183 enodes) 1538416890.660 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.660 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.660 * * * * [misc]progress: [ 96 / 302 ] simplifiying candidate # 1538416890.661 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1538416890.661 * * [misc]simplify: iters left: 6 (11 enodes) 1538416890.663 * * [misc]simplify: iters left: 5 (18 enodes) 1538416890.666 * * [misc]simplify: iters left: 4 (26 enodes) 1538416890.669 * * [misc]simplify: iters left: 3 (31 enodes) 1538416890.672 * * [misc]simplify: iters left: 2 (32 enodes) 1538416890.675 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1538416890.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416890.676 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416890.676 * * [misc]simplify: iters left: 6 (17 enodes) 1538416890.678 * * [misc]simplify: iters left: 5 (28 enodes) 1538416890.685 * * [misc]simplify: iters left: 4 (50 enodes) 1538416890.701 * * [misc]simplify: iters left: 3 (85 enodes) 1538416890.722 * * [misc]simplify: iters left: 2 (127 enodes) 1538416890.756 * * [misc]simplify: iters left: 1 (181 enodes) 1538416890.801 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1538416890.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))))) 1538416890.801 * * * * [misc]progress: [ 97 / 302 ] simplifiying candidate # 1538416890.801 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538416890.801 * * [misc]simplify: iters left: 6 (12 enodes) 1538416890.803 * * [misc]simplify: iters left: 5 (21 enodes) 1538416890.806 * * [misc]simplify: iters left: 4 (24 enodes) 1538416890.810 * * [misc]simplify: iters left: 3 (36 enodes) 1538416890.814 * * [misc]simplify: iters left: 2 (42 enodes) 1538416890.821 * * [misc]simplify: iters left: 1 (51 enodes) 1538416890.827 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416890.827 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416890.827 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416890.827 * * [misc]simplify: iters left: 6 (14 enodes) 1538416890.830 * * [misc]simplify: iters left: 5 (24 enodes) 1538416890.833 * * [misc]simplify: iters left: 4 (45 enodes) 1538416890.840 * * [misc]simplify: iters left: 3 (80 enodes) 1538416890.857 * * [misc]simplify: iters left: 2 (122 enodes) 1538416890.889 * * [misc]simplify: iters left: 1 (177 enodes) 1538416890.920 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416890.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416890.920 * * * * [misc]progress: [ 98 / 302 ] simplifiying candidate # 1538416890.920 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1538416890.921 * * [misc]simplify: iters left: 6 (12 enodes) 1538416890.923 * * [misc]simplify: iters left: 5 (21 enodes) 1538416890.926 * * [misc]simplify: iters left: 4 (24 enodes) 1538416890.930 * * [misc]simplify: iters left: 3 (36 enodes) 1538416890.935 * * [misc]simplify: iters left: 2 (42 enodes) 1538416890.940 * * [misc]simplify: iters left: 1 (51 enodes) 1538416890.949 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1538416890.949 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416890.949 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416890.950 * * [misc]simplify: iters left: 6 (14 enodes) 1538416890.954 * * [misc]simplify: iters left: 5 (24 enodes) 1538416890.961 * * [misc]simplify: iters left: 4 (45 enodes) 1538416890.969 * * [misc]simplify: iters left: 3 (80 enodes) 1538416890.979 * * [misc]simplify: iters left: 2 (122 enodes) 1538416890.996 * * [misc]simplify: iters left: 1 (177 enodes) 1538416891.032 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.032 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* 2 n))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.032 * * * * [misc]progress: [ 99 / 302 ] simplifiying candidate # 1538416891.032 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416891.032 * * [misc]simplify: iters left: 6 (14 enodes) 1538416891.035 * * [misc]simplify: iters left: 5 (23 enodes) 1538416891.038 * * [misc]simplify: iters left: 4 (29 enodes) 1538416891.043 * * [misc]simplify: iters left: 3 (41 enodes) 1538416891.052 * * [misc]simplify: iters left: 2 (47 enodes) 1538416891.063 * * [misc]simplify: iters left: 1 (57 enodes) 1538416891.075 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1538416891.075 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416891.075 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416891.075 * * [misc]simplify: iters left: 6 (14 enodes) 1538416891.077 * * [misc]simplify: iters left: 5 (24 enodes) 1538416891.081 * * [misc]simplify: iters left: 4 (46 enodes) 1538416891.087 * * [misc]simplify: iters left: 3 (81 enodes) 1538416891.098 * * [misc]simplify: iters left: 2 (123 enodes) 1538416891.130 * * [misc]simplify: iters left: 1 (178 enodes) 1538416891.183 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.183 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.183 * * * * [misc]progress: [ 100 / 302 ] simplifiying candidate # 1538416891.183 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416891.184 * * [misc]simplify: iters left: 6 (17 enodes) 1538416891.189 * * [misc]simplify: iters left: 5 (29 enodes) 1538416891.197 * * [misc]simplify: iters left: 4 (37 enodes) 1538416891.208 * * [misc]simplify: iters left: 3 (55 enodes) 1538416891.224 * * [misc]simplify: iters left: 2 (74 enodes) 1538416891.246 * * [misc]simplify: iters left: 1 (95 enodes) 1538416891.278 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1538416891.278 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416891.278 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416891.279 * * [misc]simplify: iters left: 6 (17 enodes) 1538416891.284 * * [misc]simplify: iters left: 5 (28 enodes) 1538416891.292 * * [misc]simplify: iters left: 4 (50 enodes) 1538416891.306 * * [misc]simplify: iters left: 3 (85 enodes) 1538416891.325 * * [misc]simplify: iters left: 2 (127 enodes) 1538416891.343 * * [misc]simplify: iters left: 1 (181 enodes) 1538416891.372 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.372 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.372 * * * * [misc]progress: [ 101 / 302 ] simplifiying candidate # 1538416891.372 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416891.373 * * [misc]simplify: iters left: 6 (16 enodes) 1538416891.375 * * [misc]simplify: iters left: 5 (26 enodes) 1538416891.379 * * [misc]simplify: iters left: 4 (32 enodes) 1538416891.384 * * [misc]simplify: iters left: 3 (44 enodes) 1538416891.390 * * [misc]simplify: iters left: 2 (50 enodes) 1538416891.397 * * [misc]simplify: iters left: 1 (60 enodes) 1538416891.404 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416891.404 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416891.405 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416891.405 * * [misc]simplify: iters left: 6 (17 enodes) 1538416891.407 * * [misc]simplify: iters left: 5 (28 enodes) 1538416891.411 * * [misc]simplify: iters left: 4 (50 enodes) 1538416891.419 * * [misc]simplify: iters left: 3 (85 enodes) 1538416891.430 * * [misc]simplify: iters left: 2 (127 enodes) 1538416891.449 * * [misc]simplify: iters left: 1 (181 enodes) 1538416891.476 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.476 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.476 * * * * [misc]progress: [ 102 / 302 ] simplifiying candidate # 1538416891.476 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1538416891.476 * * [misc]simplify: iters left: 6 (8 enodes) 1538416891.478 * * [misc]simplify: iters left: 5 (13 enodes) 1538416891.480 * * [misc]simplify: iters left: 4 (14 enodes) 1538416891.482 * * [misc]simplify: iters left: 3 (17 enodes) 1538416891.484 * * [misc]simplify: iters left: 2 (18 enodes) 1538416891.486 * * [misc]simplify: iters left: 1 (20 enodes) 1538416891.488 * [exit]simplify: Simplified to (sqrt PI) 1538416891.488 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416891.488 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416891.488 * * [misc]simplify: iters left: 6 (16 enodes) 1538416891.491 * * [misc]simplify: iters left: 5 (27 enodes) 1538416891.498 * * [misc]simplify: iters left: 4 (49 enodes) 1538416891.512 * * [misc]simplify: iters left: 3 (84 enodes) 1538416891.533 * * [misc]simplify: iters left: 2 (126 enodes) 1538416891.569 * * [misc]simplify: iters left: 1 (181 enodes) 1538416891.620 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.620 * * * * [misc]progress: [ 103 / 302 ] simplifiying candidate # 1538416891.621 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1538416891.621 * * [misc]simplify: iters left: 6 (7 enodes) 1538416891.624 * * [misc]simplify: iters left: 5 (12 enodes) 1538416891.627 * * [misc]simplify: iters left: 4 (17 enodes) 1538416891.632 * * [misc]simplify: iters left: 3 (19 enodes) 1538416891.635 * [exit]simplify: Simplified to (sqrt PI) 1538416891.635 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416891.635 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416891.636 * * [misc]simplify: iters left: 6 (16 enodes) 1538416891.640 * * [misc]simplify: iters left: 5 (27 enodes) 1538416891.648 * * [misc]simplify: iters left: 4 (49 enodes) 1538416891.662 * * [misc]simplify: iters left: 3 (84 enodes) 1538416891.683 * * [misc]simplify: iters left: 2 (126 enodes) 1538416891.720 * * [misc]simplify: iters left: 1 (181 enodes) 1538416891.772 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416891.772 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416891.772 * * * * [misc]progress: [ 104 / 302 ] simplifiying candidate # 1538416891.773 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1538416891.773 * * [misc]simplify: iters left: 6 (8 enodes) 1538416891.776 * * [misc]simplify: iters left: 5 (11 enodes) 1538416891.779 * * [misc]simplify: iters left: 4 (12 enodes) 1538416891.782 * * [misc]simplify: iters left: 3 (15 enodes) 1538416891.787 * * [misc]simplify: iters left: 2 (16 enodes) 1538416891.791 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1538416891.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416891.791 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416891.791 * * [misc]simplify: iters left: 6 (16 enodes) 1538416891.796 * * [misc]simplify: iters left: 5 (29 enodes) 1538416891.804 * * [misc]simplify: iters left: 4 (49 enodes) 1538416891.819 * * [misc]simplify: iters left: 3 (91 enodes) 1538416891.845 * * [misc]simplify: iters left: 2 (126 enodes) 1538416891.879 * * [misc]simplify: iters left: 1 (183 enodes) 1538416891.938 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1538416891.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1538416891.938 * * * * [misc]progress: [ 105 / 302 ] simplifiying candidate # 1538416891.938 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416891.938 * * [misc]simplify: iters left: 6 (13 enodes) 1538416891.943 * * [misc]simplify: iters left: 5 (20 enodes) 1538416891.949 * * [misc]simplify: iters left: 4 (24 enodes) 1538416891.956 * * [misc]simplify: iters left: 3 (29 enodes) 1538416891.964 * * [misc]simplify: iters left: 2 (30 enodes) 1538416891.971 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1538416891.971 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))))) 1538416891.971 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1538416891.971 * * [misc]simplify: iters left: 6 (12 enodes) 1538416891.975 * * [misc]simplify: iters left: 5 (20 enodes) 1538416891.980 * * [misc]simplify: iters left: 4 (38 enodes) 1538416891.993 * * [misc]simplify: iters left: 3 (67 enodes) 1538416892.008 * * [misc]simplify: iters left: 2 (83 enodes) 1538416892.026 * * [misc]simplify: iters left: 1 (93 enodes) 1538416892.045 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1538416892.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))))) 1538416892.045 * * * * [misc]progress: [ 106 / 302 ] simplifiying candidate # 1538416892.046 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416892.046 * * [misc]simplify: iters left: 6 (19 enodes) 1538416892.052 * * [misc]simplify: iters left: 5 (32 enodes) 1538416892.061 * * [misc]simplify: iters left: 4 (50 enodes) 1538416892.075 * * [misc]simplify: iters left: 3 (69 enodes) 1538416892.094 * * [misc]simplify: iters left: 2 (111 enodes) 1538416892.122 * * [misc]simplify: iters left: 1 (149 enodes) 1538416892.156 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416892.157 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416892.157 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416892.157 * * [misc]simplify: iters left: 6 (17 enodes) 1538416892.162 * * [misc]simplify: iters left: 5 (24 enodes) 1538416892.169 * * [misc]simplify: iters left: 4 (33 enodes) 1538416892.178 * * [misc]simplify: iters left: 3 (49 enodes) 1538416892.190 * * [misc]simplify: iters left: 2 (88 enodes) 1538416892.214 * * [misc]simplify: iters left: 1 (126 enodes) 1538416892.241 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416892.241 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416892.241 * * * * [misc]progress: [ 107 / 302 ] simplifiying candidate # 1538416892.242 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416892.242 * * [misc]simplify: iters left: 6 (18 enodes) 1538416892.247 * * [misc]simplify: iters left: 5 (27 enodes) 1538416892.255 * * [misc]simplify: iters left: 4 (38 enodes) 1538416892.265 * * [misc]simplify: iters left: 3 (55 enodes) 1538416892.282 * * [misc]simplify: iters left: 2 (94 enodes) 1538416892.295 * * [misc]simplify: iters left: 1 (132 enodes) 1538416892.311 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416892.311 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416892.312 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416892.312 * * [misc]simplify: iters left: 6 (17 enodes) 1538416892.314 * * [misc]simplify: iters left: 5 (24 enodes) 1538416892.318 * * [misc]simplify: iters left: 4 (33 enodes) 1538416892.322 * * [misc]simplify: iters left: 3 (49 enodes) 1538416892.330 * * [misc]simplify: iters left: 2 (88 enodes) 1538416892.342 * * [misc]simplify: iters left: 1 (126 enodes) 1538416892.357 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416892.357 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416892.357 * * * * [misc]progress: [ 108 / 302 ] simplifiying candidate # 1538416892.357 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416892.357 * * [misc]simplify: iters left: 6 (19 enodes) 1538416892.362 * * [misc]simplify: iters left: 5 (33 enodes) 1538416892.366 * * [misc]simplify: iters left: 4 (57 enodes) 1538416892.376 * * [misc]simplify: iters left: 3 (114 enodes) 1538416892.404 * * [misc]simplify: iters left: 2 (204 enodes) 1538416892.457 * * [misc]simplify: iters left: 1 (271 enodes) 1538416892.529 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416892.529 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416892.529 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416892.529 * * [misc]simplify: iters left: 6 (18 enodes) 1538416892.534 * * [misc]simplify: iters left: 5 (28 enodes) 1538416892.542 * * [misc]simplify: iters left: 4 (38 enodes) 1538416892.553 * * [misc]simplify: iters left: 3 (56 enodes) 1538416892.568 * * [misc]simplify: iters left: 2 (95 enodes) 1538416892.595 * * [misc]simplify: iters left: 1 (133 enodes) 1538416892.620 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416892.620 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416892.620 * * * * [misc]progress: [ 109 / 302 ] simplifiying candidate # 1538416892.621 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416892.621 * * [misc]simplify: iters left: 6 (19 enodes) 1538416892.624 * * [misc]simplify: iters left: 5 (33 enodes) 1538416892.629 * * [misc]simplify: iters left: 4 (57 enodes) 1538416892.638 * * [misc]simplify: iters left: 3 (114 enodes) 1538416892.670 * * [misc]simplify: iters left: 2 (204 enodes) 1538416892.738 * * [misc]simplify: iters left: 1 (271 enodes) 1538416892.795 * [exit]simplify: Simplified to (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416892.795 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416892.796 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416892.796 * * [misc]simplify: iters left: 6 (18 enodes) 1538416892.803 * * [misc]simplify: iters left: 5 (28 enodes) 1538416892.810 * * [misc]simplify: iters left: 4 (38 enodes) 1538416892.821 * * [misc]simplify: iters left: 3 (56 enodes) 1538416892.837 * * [misc]simplify: iters left: 2 (95 enodes) 1538416892.861 * * [misc]simplify: iters left: 1 (133 enodes) 1538416892.881 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416892.881 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (/ (cbrt (sqrt k)) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416892.881 * * * * [misc]progress: [ 110 / 302 ] simplifiying candidate # 1538416892.881 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416892.881 * * [misc]simplify: iters left: 6 (18 enodes) 1538416892.884 * * [misc]simplify: iters left: 5 (30 enodes) 1538416892.889 * * [misc]simplify: iters left: 4 (54 enodes) 1538416892.898 * * [misc]simplify: iters left: 3 (111 enodes) 1538416892.934 * * [misc]simplify: iters left: 2 (203 enodes) 1538416892.991 * * [misc]simplify: iters left: 1 (272 enodes) 1538416893.051 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) 1538416893.051 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416893.051 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416893.052 * * [misc]simplify: iters left: 6 (15 enodes) 1538416893.056 * * [misc]simplify: iters left: 5 (23 enodes) 1538416893.062 * * [misc]simplify: iters left: 4 (35 enodes) 1538416893.073 * * [misc]simplify: iters left: 3 (53 enodes) 1538416893.087 * * [misc]simplify: iters left: 2 (92 enodes) 1538416893.111 * * [misc]simplify: iters left: 1 (130 enodes) 1538416893.138 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416893.138 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416893.139 * * * * [misc]progress: [ 111 / 302 ] simplifiying candidate # 1538416893.139 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416893.139 * * [misc]simplify: iters left: 6 (21 enodes) 1538416893.145 * * [misc]simplify: iters left: 5 (38 enodes) 1538416893.158 * * [misc]simplify: iters left: 4 (78 enodes) 1538416893.183 * * [misc]simplify: iters left: 3 (165 enodes) 1538416893.223 * * [misc]simplify: iters left: 2 (334 enodes) 1538416893.337 * * [misc]simplify: iters left: 1 (492 enodes) 1538416893.568 * [exit]simplify: Simplified to (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416893.568 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416893.568 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416893.568 * * [misc]simplify: iters left: 6 (18 enodes) 1538416893.573 * * [misc]simplify: iters left: 5 (27 enodes) 1538416893.576 * * [misc]simplify: iters left: 4 (39 enodes) 1538416893.582 * * [misc]simplify: iters left: 3 (57 enodes) 1538416893.590 * * [misc]simplify: iters left: 2 (96 enodes) 1538416893.608 * * [misc]simplify: iters left: 1 (134 enodes) 1538416893.637 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416893.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416893.637 * * * * [misc]progress: [ 112 / 302 ] simplifiying candidate # 1538416893.637 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416893.637 * * [misc]simplify: iters left: 6 (20 enodes) 1538416893.644 * * [misc]simplify: iters left: 5 (33 enodes) 1538416893.654 * * [misc]simplify: iters left: 4 (57 enodes) 1538416893.672 * * [misc]simplify: iters left: 3 (114 enodes) 1538416893.701 * * [misc]simplify: iters left: 2 (206 enodes) 1538416893.757 * * [misc]simplify: iters left: 1 (273 enodes) 1538416893.812 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416893.812 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416893.813 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416893.813 * * [misc]simplify: iters left: 6 (18 enodes) 1538416893.818 * * [misc]simplify: iters left: 5 (27 enodes) 1538416893.828 * * [misc]simplify: iters left: 4 (39 enodes) 1538416893.835 * * [misc]simplify: iters left: 3 (57 enodes) 1538416893.844 * * [misc]simplify: iters left: 2 (96 enodes) 1538416893.857 * * [misc]simplify: iters left: 1 (134 enodes) 1538416893.880 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416893.880 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416893.880 * * * * [misc]progress: [ 113 / 302 ] simplifiying candidate # 1538416893.880 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416893.881 * * [misc]simplify: iters left: 6 (17 enodes) 1538416893.886 * * [misc]simplify: iters left: 5 (31 enodes) 1538416893.896 * * [misc]simplify: iters left: 4 (58 enodes) 1538416893.914 * * [misc]simplify: iters left: 3 (98 enodes) 1538416893.943 * * [misc]simplify: iters left: 2 (208 enodes) 1538416894.001 * * [misc]simplify: iters left: 1 (309 enodes) 1538416894.065 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416894.065 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416894.065 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416894.065 * * [misc]simplify: iters left: 6 (17 enodes) 1538416894.071 * * [misc]simplify: iters left: 5 (26 enodes) 1538416894.078 * * [misc]simplify: iters left: 4 (38 enodes) 1538416894.088 * * [misc]simplify: iters left: 3 (56 enodes) 1538416894.096 * * [misc]simplify: iters left: 2 (95 enodes) 1538416894.109 * * [misc]simplify: iters left: 1 (133 enodes) 1538416894.129 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416894.129 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416894.129 * * * * [misc]progress: [ 114 / 302 ] simplifiying candidate # 1538416894.130 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416894.130 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.135 * * [misc]simplify: iters left: 5 (30 enodes) 1538416894.146 * * [misc]simplify: iters left: 4 (46 enodes) 1538416894.160 * * [misc]simplify: iters left: 3 (74 enodes) 1538416894.180 * * [misc]simplify: iters left: 2 (125 enodes) 1538416894.198 * * [misc]simplify: iters left: 1 (169 enodes) 1538416894.225 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416894.225 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416894.226 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416894.226 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.232 * * [misc]simplify: iters left: 5 (28 enodes) 1538416894.239 * * [misc]simplify: iters left: 4 (38 enodes) 1538416894.250 * * [misc]simplify: iters left: 3 (56 enodes) 1538416894.268 * * [misc]simplify: iters left: 2 (95 enodes) 1538416894.293 * * [misc]simplify: iters left: 1 (133 enodes) 1538416894.323 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416894.323 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416894.324 * * * * [misc]progress: [ 115 / 302 ] simplifiying candidate # 1538416894.324 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416894.324 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.330 * * [misc]simplify: iters left: 5 (30 enodes) 1538416894.338 * * [misc]simplify: iters left: 4 (46 enodes) 1538416894.351 * * [misc]simplify: iters left: 3 (74 enodes) 1538416894.371 * * [misc]simplify: iters left: 2 (125 enodes) 1538416894.397 * * [misc]simplify: iters left: 1 (169 enodes) 1538416894.422 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416894.422 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416894.422 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416894.423 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.428 * * [misc]simplify: iters left: 5 (28 enodes) 1538416894.436 * * [misc]simplify: iters left: 4 (38 enodes) 1538416894.445 * * [misc]simplify: iters left: 3 (56 enodes) 1538416894.453 * * [misc]simplify: iters left: 2 (95 enodes) 1538416894.466 * * [misc]simplify: iters left: 1 (133 enodes) 1538416894.490 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416894.490 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416894.490 * * * * [misc]progress: [ 116 / 302 ] simplifiying candidate # 1538416894.491 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416894.491 * * [misc]simplify: iters left: 6 (17 enodes) 1538416894.497 * * [misc]simplify: iters left: 5 (27 enodes) 1538416894.502 * * [misc]simplify: iters left: 4 (43 enodes) 1538416894.509 * * [misc]simplify: iters left: 3 (71 enodes) 1538416894.520 * * [misc]simplify: iters left: 2 (122 enodes) 1538416894.546 * * [misc]simplify: iters left: 1 (166 enodes) 1538416894.569 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416894.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416894.569 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416894.569 * * [misc]simplify: iters left: 6 (15 enodes) 1538416894.572 * * [misc]simplify: iters left: 5 (23 enodes) 1538416894.575 * * [misc]simplify: iters left: 4 (35 enodes) 1538416894.580 * * [misc]simplify: iters left: 3 (53 enodes) 1538416894.588 * * [misc]simplify: iters left: 2 (92 enodes) 1538416894.614 * * [misc]simplify: iters left: 1 (130 enodes) 1538416894.639 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416894.639 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416894.639 * * * * [misc]progress: [ 117 / 302 ] simplifiying candidate # 1538416894.639 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416894.639 * * [misc]simplify: iters left: 6 (20 enodes) 1538416894.642 * * [misc]simplify: iters left: 5 (33 enodes) 1538416894.647 * * [misc]simplify: iters left: 4 (53 enodes) 1538416894.655 * * [misc]simplify: iters left: 3 (95 enodes) 1538416894.671 * * [misc]simplify: iters left: 2 (173 enodes) 1538416894.702 * * [misc]simplify: iters left: 1 (242 enodes) 1538416894.754 * [exit]simplify: Simplified to (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) 1538416894.754 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416894.754 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416894.754 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.757 * * [misc]simplify: iters left: 5 (27 enodes) 1538416894.761 * * [misc]simplify: iters left: 4 (39 enodes) 1538416894.767 * * [misc]simplify: iters left: 3 (57 enodes) 1538416894.777 * * [misc]simplify: iters left: 2 (96 enodes) 1538416894.802 * * [misc]simplify: iters left: 1 (134 enodes) 1538416894.817 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416894.817 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (sqrt (sqrt k))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416894.817 * * * * [misc]progress: [ 118 / 302 ] simplifiying candidate # 1538416894.818 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416894.818 * * [misc]simplify: iters left: 6 (19 enodes) 1538416894.821 * * [misc]simplify: iters left: 5 (30 enodes) 1538416894.825 * * [misc]simplify: iters left: 4 (46 enodes) 1538416894.832 * * [misc]simplify: iters left: 3 (74 enodes) 1538416894.848 * * [misc]simplify: iters left: 2 (125 enodes) 1538416894.866 * * [misc]simplify: iters left: 1 (169 enodes) 1538416894.906 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538416894.906 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416894.906 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416894.907 * * [misc]simplify: iters left: 6 (18 enodes) 1538416894.912 * * [misc]simplify: iters left: 5 (27 enodes) 1538416894.920 * * [misc]simplify: iters left: 4 (39 enodes) 1538416894.930 * * [misc]simplify: iters left: 3 (57 enodes) 1538416894.946 * * [misc]simplify: iters left: 2 (96 enodes) 1538416894.971 * * [misc]simplify: iters left: 1 (134 enodes) 1538416895.001 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416895.001 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416895.001 * * * * [misc]progress: [ 119 / 302 ] simplifiying candidate # 1538416895.001 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1538416895.001 * * [misc]simplify: iters left: 6 (16 enodes) 1538416895.007 * * [misc]simplify: iters left: 5 (28 enodes) 1538416895.015 * * [misc]simplify: iters left: 4 (45 enodes) 1538416895.028 * * [misc]simplify: iters left: 3 (72 enodes) 1538416895.049 * * [misc]simplify: iters left: 2 (111 enodes) 1538416895.076 * * [misc]simplify: iters left: 1 (153 enodes) 1538416895.109 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) 1538416895.109 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416895.110 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416895.110 * * [misc]simplify: iters left: 6 (17 enodes) 1538416895.115 * * [misc]simplify: iters left: 5 (26 enodes) 1538416895.122 * * [misc]simplify: iters left: 4 (38 enodes) 1538416895.133 * * [misc]simplify: iters left: 3 (56 enodes) 1538416895.148 * * [misc]simplify: iters left: 2 (95 enodes) 1538416895.173 * * [misc]simplify: iters left: 1 (133 enodes) 1538416895.204 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416895.204 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k)))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416895.204 * * * * [misc]progress: [ 120 / 302 ] simplifiying candidate # 1538416895.204 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1538416895.204 * * [misc]simplify: iters left: 6 (17 enodes) 1538416895.207 * * [misc]simplify: iters left: 5 (31 enodes) 1538416895.211 * * [misc]simplify: iters left: 4 (47 enodes) 1538416895.218 * * [misc]simplify: iters left: 3 (78 enodes) 1538416895.230 * * [misc]simplify: iters left: 2 (139 enodes) 1538416895.273 * * [misc]simplify: iters left: 1 (250 enodes) 1538416895.363 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416895.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416895.364 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416895.364 * * [misc]simplify: iters left: 6 (17 enodes) 1538416895.369 * * [misc]simplify: iters left: 5 (27 enodes) 1538416895.376 * * [misc]simplify: iters left: 4 (37 enodes) 1538416895.381 * * [misc]simplify: iters left: 3 (55 enodes) 1538416895.389 * * [misc]simplify: iters left: 2 (94 enodes) 1538416895.402 * * [misc]simplify: iters left: 1 (132 enodes) 1538416895.431 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416895.431 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416895.431 * * * * [misc]progress: [ 121 / 302 ] simplifiying candidate # 1538416895.431 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow (* n 2) 1/2))) 1538416895.432 * * [misc]simplify: iters left: 6 (17 enodes) 1538416895.437 * * [misc]simplify: iters left: 5 (31 enodes) 1538416895.445 * * [misc]simplify: iters left: 4 (47 enodes) 1538416895.458 * * [misc]simplify: iters left: 3 (78 enodes) 1538416895.480 * * [misc]simplify: iters left: 2 (139 enodes) 1538416895.502 * * [misc]simplify: iters left: 1 (250 enodes) 1538416895.564 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416895.564 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416895.564 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416895.564 * * [misc]simplify: iters left: 6 (17 enodes) 1538416895.567 * * [misc]simplify: iters left: 5 (27 enodes) 1538416895.573 * * [misc]simplify: iters left: 4 (37 enodes) 1538416895.583 * * [misc]simplify: iters left: 3 (55 enodes) 1538416895.595 * * [misc]simplify: iters left: 2 (94 enodes) 1538416895.608 * * [misc]simplify: iters left: 1 (132 enodes) 1538416895.625 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416895.625 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416895.625 * * * * [misc]progress: [ 122 / 302 ] simplifiying candidate # 1538416895.626 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416895.626 * * [misc]simplify: iters left: 6 (16 enodes) 1538416895.631 * * [misc]simplify: iters left: 5 (28 enodes) 1538416895.638 * * [misc]simplify: iters left: 4 (44 enodes) 1538416895.645 * * [misc]simplify: iters left: 3 (75 enodes) 1538416895.657 * * [misc]simplify: iters left: 2 (136 enodes) 1538416895.689 * * [misc]simplify: iters left: 1 (233 enodes) 1538416895.762 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416895.762 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416895.762 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416895.762 * * [misc]simplify: iters left: 6 (14 enodes) 1538416895.766 * * [misc]simplify: iters left: 5 (22 enodes) 1538416895.772 * * [misc]simplify: iters left: 4 (34 enodes) 1538416895.780 * * [misc]simplify: iters left: 3 (52 enodes) 1538416895.793 * * [misc]simplify: iters left: 2 (91 enodes) 1538416895.815 * * [misc]simplify: iters left: 1 (129 enodes) 1538416895.842 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416895.842 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416895.843 * * * * [misc]progress: [ 123 / 302 ] simplifiying candidate # 1538416895.843 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416895.843 * * [misc]simplify: iters left: 6 (19 enodes) 1538416895.849 * * [misc]simplify: iters left: 5 (34 enodes) 1538416895.858 * * [misc]simplify: iters left: 4 (54 enodes) 1538416895.873 * * [misc]simplify: iters left: 3 (97 enodes) 1538416895.903 * * [misc]simplify: iters left: 2 (204 enodes) 1538416896.001 * * [misc]simplify: iters left: 1 (454 enodes) 1538416896.274 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416896.274 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416896.274 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416896.274 * * [misc]simplify: iters left: 6 (17 enodes) 1538416896.280 * * [misc]simplify: iters left: 5 (26 enodes) 1538416896.287 * * [misc]simplify: iters left: 4 (38 enodes) 1538416896.297 * * [misc]simplify: iters left: 3 (56 enodes) 1538416896.313 * * [misc]simplify: iters left: 2 (95 enodes) 1538416896.327 * * [misc]simplify: iters left: 1 (133 enodes) 1538416896.344 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.344 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.344 * * * * [misc]progress: [ 124 / 302 ] simplifiying candidate # 1538416896.344 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416896.344 * * [misc]simplify: iters left: 6 (18 enodes) 1538416896.347 * * [misc]simplify: iters left: 5 (31 enodes) 1538416896.356 * * [misc]simplify: iters left: 4 (47 enodes) 1538416896.370 * * [misc]simplify: iters left: 3 (78 enodes) 1538416896.393 * * [misc]simplify: iters left: 2 (139 enodes) 1538416896.437 * * [misc]simplify: iters left: 1 (250 enodes) 1538416896.521 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416896.521 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416896.521 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416896.521 * * [misc]simplify: iters left: 6 (17 enodes) 1538416896.526 * * [misc]simplify: iters left: 5 (26 enodes) 1538416896.532 * * [misc]simplify: iters left: 4 (38 enodes) 1538416896.542 * * [misc]simplify: iters left: 3 (56 enodes) 1538416896.556 * * [misc]simplify: iters left: 2 (95 enodes) 1538416896.578 * * [misc]simplify: iters left: 1 (133 enodes) 1538416896.604 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.604 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.604 * * * * [misc]progress: [ 125 / 302 ] simplifiying candidate # 1538416896.605 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1538416896.605 * * [misc]simplify: iters left: 6 (14 enodes) 1538416896.611 * * [misc]simplify: iters left: 5 (24 enodes) 1538416896.617 * * [misc]simplify: iters left: 4 (33 enodes) 1538416896.626 * * [misc]simplify: iters left: 3 (57 enodes) 1538416896.642 * * [misc]simplify: iters left: 2 (107 enodes) 1538416896.669 * * [misc]simplify: iters left: 1 (171 enodes) 1538416896.709 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416896.709 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.709 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.710 * * [misc]simplify: iters left: 6 (16 enodes) 1538416896.714 * * [misc]simplify: iters left: 5 (25 enodes) 1538416896.721 * * [misc]simplify: iters left: 4 (37 enodes) 1538416896.732 * * [misc]simplify: iters left: 3 (55 enodes) 1538416896.746 * * [misc]simplify: iters left: 2 (94 enodes) 1538416896.773 * * [misc]simplify: iters left: 1 (132 enodes) 1538416896.801 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.801 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.801 * * * * [misc]progress: [ 126 / 302 ] simplifiying candidate # 1538416896.802 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1538416896.802 * * [misc]simplify: iters left: 6 (13 enodes) 1538416896.806 * * [misc]simplify: iters left: 5 (23 enodes) 1538416896.812 * * [misc]simplify: iters left: 4 (38 enodes) 1538416896.823 * * [misc]simplify: iters left: 3 (56 enodes) 1538416896.830 * * [misc]simplify: iters left: 2 (99 enodes) 1538416896.843 * * [misc]simplify: iters left: 1 (135 enodes) 1538416896.857 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416896.857 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.857 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.858 * * [misc]simplify: iters left: 6 (16 enodes) 1538416896.860 * * [misc]simplify: iters left: 5 (25 enodes) 1538416896.863 * * [misc]simplify: iters left: 4 (37 enodes) 1538416896.870 * * [misc]simplify: iters left: 3 (55 enodes) 1538416896.878 * * [misc]simplify: iters left: 2 (94 enodes) 1538416896.900 * * [misc]simplify: iters left: 1 (132 enodes) 1538416896.929 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416896.929 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416896.929 * * * * [misc]progress: [ 127 / 302 ] simplifiying candidate # 1538416896.929 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1538416896.929 * * [misc]simplify: iters left: 6 (13 enodes) 1538416896.933 * * [misc]simplify: iters left: 5 (21 enodes) 1538416896.939 * * [misc]simplify: iters left: 4 (32 enodes) 1538416896.948 * * [misc]simplify: iters left: 3 (49 enodes) 1538416896.962 * * [misc]simplify: iters left: 2 (88 enodes) 1538416896.985 * * [misc]simplify: iters left: 1 (126 enodes) 1538416897.004 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416897.004 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416897.004 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416897.004 * * [misc]simplify: iters left: 6 (16 enodes) 1538416897.007 * * [misc]simplify: iters left: 5 (27 enodes) 1538416897.010 * * [misc]simplify: iters left: 4 (39 enodes) 1538416897.016 * * [misc]simplify: iters left: 3 (65 enodes) 1538416897.025 * * [misc]simplify: iters left: 2 (105 enodes) 1538416897.048 * * [misc]simplify: iters left: 1 (146 enodes) 1538416897.076 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416897.076 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))))) 1538416897.076 * * * * [misc]progress: [ 128 / 302 ] simplifiying candidate # 1538416897.076 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416897.076 * * [misc]simplify: iters left: 6 (17 enodes) 1538416897.079 * * [misc]simplify: iters left: 5 (29 enodes) 1538416897.083 * * [misc]simplify: iters left: 4 (45 enodes) 1538416897.090 * * [misc]simplify: iters left: 3 (73 enodes) 1538416897.111 * * [misc]simplify: iters left: 2 (124 enodes) 1538416897.128 * * [misc]simplify: iters left: 1 (168 enodes) 1538416897.149 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416897.149 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1538416897.149 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538416897.149 * * [misc]simplify: iters left: 6 (14 enodes) 1538416897.153 * * [misc]simplify: iters left: 5 (21 enodes) 1538416897.159 * * [misc]simplify: iters left: 4 (30 enodes) 1538416897.167 * * [misc]simplify: iters left: 3 (46 enodes) 1538416897.174 * * [misc]simplify: iters left: 2 (85 enodes) 1538416897.186 * * [misc]simplify: iters left: 1 (123 enodes) 1538416897.201 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538416897.201 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1538416897.201 * * * * [misc]progress: [ 129 / 302 ] simplifiying candidate # 1538416897.201 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416897.201 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.204 * * [misc]simplify: iters left: 5 (27 enodes) 1538416897.208 * * [misc]simplify: iters left: 4 (36 enodes) 1538416897.218 * * [misc]simplify: iters left: 3 (52 enodes) 1538416897.233 * * [misc]simplify: iters left: 2 (91 enodes) 1538416897.257 * * [misc]simplify: iters left: 1 (129 enodes) 1538416897.282 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416897.282 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416897.282 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.283 * * [misc]simplify: iters left: 6 (17 enodes) 1538416897.285 * * [misc]simplify: iters left: 5 (24 enodes) 1538416897.288 * * [misc]simplify: iters left: 4 (33 enodes) 1538416897.293 * * [misc]simplify: iters left: 3 (49 enodes) 1538416897.302 * * [misc]simplify: iters left: 2 (88 enodes) 1538416897.314 * * [misc]simplify: iters left: 1 (126 enodes) 1538416897.328 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.328 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416897.328 * * * * [misc]progress: [ 130 / 302 ] simplifiying candidate # 1538416897.328 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.329 * * [misc]simplify: iters left: 6 (17 enodes) 1538416897.331 * * [misc]simplify: iters left: 5 (24 enodes) 1538416897.334 * * [misc]simplify: iters left: 4 (33 enodes) 1538416897.339 * * [misc]simplify: iters left: 3 (49 enodes) 1538416897.346 * * [misc]simplify: iters left: 2 (88 enodes) 1538416897.365 * * [misc]simplify: iters left: 1 (126 enodes) 1538416897.392 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.392 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416897.393 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.393 * * [misc]simplify: iters left: 6 (17 enodes) 1538416897.396 * * [misc]simplify: iters left: 5 (24 enodes) 1538416897.401 * * [misc]simplify: iters left: 4 (33 enodes) 1538416897.406 * * [misc]simplify: iters left: 3 (49 enodes) 1538416897.413 * * [misc]simplify: iters left: 2 (88 enodes) 1538416897.425 * * [misc]simplify: iters left: 1 (126 enodes) 1538416897.446 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.447 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416897.447 * * * * [misc]progress: [ 131 / 302 ] simplifiying candidate # 1538416897.447 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416897.447 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.452 * * [misc]simplify: iters left: 5 (30 enodes) 1538416897.456 * * [misc]simplify: iters left: 4 (46 enodes) 1538416897.463 * * [misc]simplify: iters left: 3 (74 enodes) 1538416897.474 * * [misc]simplify: iters left: 2 (118 enodes) 1538416897.493 * * [misc]simplify: iters left: 1 (163 enodes) 1538416897.512 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538416897.512 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416897.512 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416897.512 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.515 * * [misc]simplify: iters left: 5 (28 enodes) 1538416897.518 * * [misc]simplify: iters left: 4 (38 enodes) 1538416897.524 * * [misc]simplify: iters left: 3 (56 enodes) 1538416897.531 * * [misc]simplify: iters left: 2 (95 enodes) 1538416897.544 * * [misc]simplify: iters left: 1 (133 enodes) 1538416897.569 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416897.569 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416897.569 * * * * [misc]progress: [ 132 / 302 ] simplifiying candidate # 1538416897.569 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416897.569 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.576 * * [misc]simplify: iters left: 5 (30 enodes) 1538416897.585 * * [misc]simplify: iters left: 4 (46 enodes) 1538416897.597 * * [misc]simplify: iters left: 3 (74 enodes) 1538416897.617 * * [misc]simplify: iters left: 2 (118 enodes) 1538416897.647 * * [misc]simplify: iters left: 1 (163 enodes) 1538416897.666 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1538416897.666 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416897.666 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416897.666 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.669 * * [misc]simplify: iters left: 5 (28 enodes) 1538416897.672 * * [misc]simplify: iters left: 4 (38 enodes) 1538416897.680 * * [misc]simplify: iters left: 3 (56 enodes) 1538416897.697 * * [misc]simplify: iters left: 2 (95 enodes) 1538416897.722 * * [misc]simplify: iters left: 1 (133 enodes) 1538416897.743 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416897.743 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416897.743 * * * * [misc]progress: [ 133 / 302 ] simplifiying candidate # 1538416897.744 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416897.744 * * [misc]simplify: iters left: 6 (17 enodes) 1538416897.746 * * [misc]simplify: iters left: 5 (27 enodes) 1538416897.750 * * [misc]simplify: iters left: 4 (43 enodes) 1538416897.756 * * [misc]simplify: iters left: 3 (71 enodes) 1538416897.769 * * [misc]simplify: iters left: 2 (115 enodes) 1538416897.795 * * [misc]simplify: iters left: 1 (160 enodes) 1538416897.815 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416897.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416897.815 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416897.816 * * [misc]simplify: iters left: 6 (15 enodes) 1538416897.818 * * [misc]simplify: iters left: 5 (23 enodes) 1538416897.821 * * [misc]simplify: iters left: 4 (35 enodes) 1538416897.826 * * [misc]simplify: iters left: 3 (53 enodes) 1538416897.834 * * [misc]simplify: iters left: 2 (92 enodes) 1538416897.846 * * [misc]simplify: iters left: 1 (130 enodes) 1538416897.860 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416897.860 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416897.860 * * * * [misc]progress: [ 134 / 302 ] simplifiying candidate # 1538416897.861 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416897.861 * * [misc]simplify: iters left: 6 (20 enodes) 1538416897.864 * * [misc]simplify: iters left: 5 (35 enodes) 1538416897.869 * * [misc]simplify: iters left: 4 (62 enodes) 1538416897.880 * * [misc]simplify: iters left: 3 (103 enodes) 1538416897.896 * * [misc]simplify: iters left: 2 (174 enodes) 1538416897.921 * * [misc]simplify: iters left: 1 (236 enodes) 1538416897.967 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416897.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416897.968 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416897.968 * * [misc]simplify: iters left: 6 (18 enodes) 1538416897.971 * * [misc]simplify: iters left: 5 (27 enodes) 1538416897.974 * * [misc]simplify: iters left: 4 (39 enodes) 1538416897.984 * * [misc]simplify: iters left: 3 (57 enodes) 1538416897.996 * * [misc]simplify: iters left: 2 (96 enodes) 1538416898.018 * * [misc]simplify: iters left: 1 (134 enodes) 1538416898.044 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416898.044 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416898.044 * * * * [misc]progress: [ 135 / 302 ] simplifiying candidate # 1538416898.045 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416898.045 * * [misc]simplify: iters left: 6 (19 enodes) 1538416898.050 * * [misc]simplify: iters left: 5 (30 enodes) 1538416898.057 * * [misc]simplify: iters left: 4 (46 enodes) 1538416898.069 * * [misc]simplify: iters left: 3 (74 enodes) 1538416898.089 * * [misc]simplify: iters left: 2 (118 enodes) 1538416898.115 * * [misc]simplify: iters left: 1 (163 enodes) 1538416898.148 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416898.148 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416898.148 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416898.149 * * [misc]simplify: iters left: 6 (18 enodes) 1538416898.153 * * [misc]simplify: iters left: 5 (27 enodes) 1538416898.159 * * [misc]simplify: iters left: 4 (39 enodes) 1538416898.169 * * [misc]simplify: iters left: 3 (57 enodes) 1538416898.182 * * [misc]simplify: iters left: 2 (96 enodes) 1538416898.204 * * [misc]simplify: iters left: 1 (134 enodes) 1538416898.233 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1538416898.233 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))))) 1538416898.233 * * * * [misc]progress: [ 136 / 302 ] simplifiying candidate # 1538416898.233 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416898.233 * * [misc]simplify: iters left: 6 (16 enodes) 1538416898.238 * * [misc]simplify: iters left: 5 (28 enodes) 1538416898.247 * * [misc]simplify: iters left: 4 (48 enodes) 1538416898.261 * * [misc]simplify: iters left: 3 (85 enodes) 1538416898.284 * * [misc]simplify: iters left: 2 (188 enodes) 1538416898.339 * * [misc]simplify: iters left: 1 (284 enodes) 1538416898.374 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416898.374 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416898.374 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416898.374 * * [misc]simplify: iters left: 6 (17 enodes) 1538416898.379 * * [misc]simplify: iters left: 5 (26 enodes) 1538416898.386 * * [misc]simplify: iters left: 4 (38 enodes) 1538416898.394 * * [misc]simplify: iters left: 3 (56 enodes) 1538416898.402 * * [misc]simplify: iters left: 2 (95 enodes) 1538416898.417 * * [misc]simplify: iters left: 1 (133 enodes) 1538416898.434 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416898.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416898.434 * * * * [misc]progress: [ 137 / 302 ] simplifiying candidate # 1538416898.435 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416898.435 * * [misc]simplify: iters left: 6 (17 enodes) 1538416898.440 * * [misc]simplify: iters left: 5 (27 enodes) 1538416898.447 * * [misc]simplify: iters left: 4 (39 enodes) 1538416898.453 * * [misc]simplify: iters left: 3 (57 enodes) 1538416898.461 * * [misc]simplify: iters left: 2 (96 enodes) 1538416898.473 * * [misc]simplify: iters left: 1 (134 enodes) 1538416898.500 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416898.500 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416898.500 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416898.500 * * [misc]simplify: iters left: 6 (18 enodes) 1538416898.505 * * [misc]simplify: iters left: 5 (28 enodes) 1538416898.509 * * [misc]simplify: iters left: 4 (38 enodes) 1538416898.514 * * [misc]simplify: iters left: 3 (56 enodes) 1538416898.522 * * [misc]simplify: iters left: 2 (95 enodes) 1538416898.536 * * [misc]simplify: iters left: 1 (133 enodes) 1538416898.551 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416898.551 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416898.551 * * * * [misc]progress: [ 138 / 302 ] simplifiying candidate # 1538416898.551 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416898.551 * * [misc]simplify: iters left: 6 (17 enodes) 1538416898.554 * * [misc]simplify: iters left: 5 (27 enodes) 1538416898.560 * * [misc]simplify: iters left: 4 (39 enodes) 1538416898.569 * * [misc]simplify: iters left: 3 (57 enodes) 1538416898.577 * * [misc]simplify: iters left: 2 (96 enodes) 1538416898.590 * * [misc]simplify: iters left: 1 (134 enodes) 1538416898.604 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1538416898.605 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416898.606 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416898.606 * * [misc]simplify: iters left: 6 (18 enodes) 1538416898.608 * * [misc]simplify: iters left: 5 (28 enodes) 1538416898.612 * * [misc]simplify: iters left: 4 (38 enodes) 1538416898.617 * * [misc]simplify: iters left: 3 (56 enodes) 1538416898.626 * * [misc]simplify: iters left: 2 (95 enodes) 1538416898.638 * * [misc]simplify: iters left: 1 (133 enodes) 1538416898.654 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1538416898.655 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))))) 1538416898.655 * * * * [misc]progress: [ 139 / 302 ] simplifiying candidate # 1538416898.655 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416898.655 * * [misc]simplify: iters left: 6 (16 enodes) 1538416898.660 * * [misc]simplify: iters left: 5 (24 enodes) 1538416898.667 * * [misc]simplify: iters left: 4 (36 enodes) 1538416898.677 * * [misc]simplify: iters left: 3 (54 enodes) 1538416898.693 * * [misc]simplify: iters left: 2 (93 enodes) 1538416898.718 * * [misc]simplify: iters left: 1 (131 enodes) 1538416898.735 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416898.735 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416898.736 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416898.736 * * [misc]simplify: iters left: 6 (15 enodes) 1538416898.738 * * [misc]simplify: iters left: 5 (23 enodes) 1538416898.741 * * [misc]simplify: iters left: 4 (35 enodes) 1538416898.749 * * [misc]simplify: iters left: 3 (53 enodes) 1538416898.764 * * [misc]simplify: iters left: 2 (92 enodes) 1538416898.787 * * [misc]simplify: iters left: 1 (130 enodes) 1538416898.815 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416898.815 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416898.815 * * * * [misc]progress: [ 140 / 302 ] simplifiying candidate # 1538416898.816 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416898.816 * * [misc]simplify: iters left: 6 (19 enodes) 1538416898.821 * * [misc]simplify: iters left: 5 (30 enodes) 1538416898.830 * * [misc]simplify: iters left: 4 (44 enodes) 1538416898.843 * * [misc]simplify: iters left: 3 (69 enodes) 1538416898.862 * * [misc]simplify: iters left: 2 (116 enodes) 1538416898.891 * * [misc]simplify: iters left: 1 (156 enodes) 1538416898.919 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416898.919 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416898.919 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416898.920 * * [misc]simplify: iters left: 6 (18 enodes) 1538416898.922 * * [misc]simplify: iters left: 5 (27 enodes) 1538416898.926 * * [misc]simplify: iters left: 4 (39 enodes) 1538416898.931 * * [misc]simplify: iters left: 3 (57 enodes) 1538416898.940 * * [misc]simplify: iters left: 2 (96 enodes) 1538416898.954 * * [misc]simplify: iters left: 1 (134 enodes) 1538416898.969 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416898.969 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416898.969 * * * * [misc]progress: [ 141 / 302 ] simplifiying candidate # 1538416898.970 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416898.970 * * [misc]simplify: iters left: 6 (18 enodes) 1538416898.974 * * [misc]simplify: iters left: 5 (27 enodes) 1538416898.981 * * [misc]simplify: iters left: 4 (39 enodes) 1538416898.992 * * [misc]simplify: iters left: 3 (57 enodes) 1538416899.006 * * [misc]simplify: iters left: 2 (96 enodes) 1538416899.019 * * [misc]simplify: iters left: 1 (134 enodes) 1538416899.036 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416899.036 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416899.037 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416899.037 * * [misc]simplify: iters left: 6 (18 enodes) 1538416899.042 * * [misc]simplify: iters left: 5 (27 enodes) 1538416899.050 * * [misc]simplify: iters left: 4 (39 enodes) 1538416899.062 * * [misc]simplify: iters left: 3 (57 enodes) 1538416899.073 * * [misc]simplify: iters left: 2 (96 enodes) 1538416899.086 * * [misc]simplify: iters left: 1 (134 enodes) 1538416899.105 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1538416899.105 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1538416899.105 * * * * [misc]progress: [ 142 / 302 ] simplifiying candidate # 1538416899.106 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1538416899.106 * * [misc]simplify: iters left: 6 (15 enodes) 1538416899.110 * * [misc]simplify: iters left: 5 (25 enodes) 1538416899.117 * * [misc]simplify: iters left: 4 (41 enodes) 1538416899.126 * * [misc]simplify: iters left: 3 (61 enodes) 1538416899.134 * * [misc]simplify: iters left: 2 (99 enodes) 1538416899.146 * * [misc]simplify: iters left: 1 (135 enodes) 1538416899.161 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416899.161 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416899.161 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416899.162 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.164 * * [misc]simplify: iters left: 5 (26 enodes) 1538416899.168 * * [misc]simplify: iters left: 4 (38 enodes) 1538416899.173 * * [misc]simplify: iters left: 3 (56 enodes) 1538416899.186 * * [misc]simplify: iters left: 2 (95 enodes) 1538416899.211 * * [misc]simplify: iters left: 1 (133 enodes) 1538416899.240 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416899.240 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))))) 1538416899.240 * * * * [misc]progress: [ 143 / 302 ] simplifiying candidate # 1538416899.240 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538416899.241 * * [misc]simplify: iters left: 6 (16 enodes) 1538416899.245 * * [misc]simplify: iters left: 5 (28 enodes) 1538416899.253 * * [misc]simplify: iters left: 4 (40 enodes) 1538416899.265 * * [misc]simplify: iters left: 3 (66 enodes) 1538416899.286 * * [misc]simplify: iters left: 2 (106 enodes) 1538416899.311 * * [misc]simplify: iters left: 1 (147 enodes) 1538416899.341 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538416899.341 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416899.341 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416899.341 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.346 * * [misc]simplify: iters left: 5 (27 enodes) 1538416899.354 * * [misc]simplify: iters left: 4 (37 enodes) 1538416899.364 * * [misc]simplify: iters left: 3 (55 enodes) 1538416899.379 * * [misc]simplify: iters left: 2 (94 enodes) 1538416899.404 * * [misc]simplify: iters left: 1 (132 enodes) 1538416899.435 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416899.435 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416899.435 * * * * [misc]progress: [ 144 / 302 ] simplifiying candidate # 1538416899.435 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1538416899.435 * * [misc]simplify: iters left: 6 (16 enodes) 1538416899.440 * * [misc]simplify: iters left: 5 (28 enodes) 1538416899.448 * * [misc]simplify: iters left: 4 (40 enodes) 1538416899.459 * * [misc]simplify: iters left: 3 (66 enodes) 1538416899.477 * * [misc]simplify: iters left: 2 (106 enodes) 1538416899.493 * * [misc]simplify: iters left: 1 (147 enodes) 1538416899.510 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1538416899.510 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416899.511 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416899.511 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.516 * * [misc]simplify: iters left: 5 (27 enodes) 1538416899.523 * * [misc]simplify: iters left: 4 (37 enodes) 1538416899.533 * * [misc]simplify: iters left: 3 (55 enodes) 1538416899.548 * * [misc]simplify: iters left: 2 (94 enodes) 1538416899.574 * * [misc]simplify: iters left: 1 (132 enodes) 1538416899.603 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416899.603 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416899.603 * * * * [misc]progress: [ 145 / 302 ] simplifiying candidate # 1538416899.604 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416899.604 * * [misc]simplify: iters left: 6 (15 enodes) 1538416899.608 * * [misc]simplify: iters left: 5 (25 enodes) 1538416899.615 * * [misc]simplify: iters left: 4 (37 enodes) 1538416899.626 * * [misc]simplify: iters left: 3 (63 enodes) 1538416899.637 * * [misc]simplify: iters left: 2 (103 enodes) 1538416899.650 * * [misc]simplify: iters left: 1 (144 enodes) 1538416899.669 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1538416899.669 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416899.669 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416899.669 * * [misc]simplify: iters left: 6 (14 enodes) 1538416899.674 * * [misc]simplify: iters left: 5 (22 enodes) 1538416899.680 * * [misc]simplify: iters left: 4 (34 enodes) 1538416899.689 * * [misc]simplify: iters left: 3 (52 enodes) 1538416899.704 * * [misc]simplify: iters left: 2 (91 enodes) 1538416899.726 * * [misc]simplify: iters left: 1 (129 enodes) 1538416899.751 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416899.751 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416899.751 * * * * [misc]progress: [ 146 / 302 ] simplifiying candidate # 1538416899.752 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416899.752 * * [misc]simplify: iters left: 6 (18 enodes) 1538416899.757 * * [misc]simplify: iters left: 5 (31 enodes) 1538416899.765 * * [misc]simplify: iters left: 4 (45 enodes) 1538416899.777 * * [misc]simplify: iters left: 3 (75 enodes) 1538416899.796 * * [misc]simplify: iters left: 2 (120 enodes) 1538416899.826 * * [misc]simplify: iters left: 1 (161 enodes) 1538416899.859 * [exit]simplify: Simplified to (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416899.860 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416899.860 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416899.860 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.862 * * [misc]simplify: iters left: 5 (26 enodes) 1538416899.868 * * [misc]simplify: iters left: 4 (38 enodes) 1538416899.877 * * [misc]simplify: iters left: 3 (56 enodes) 1538416899.888 * * [misc]simplify: iters left: 2 (95 enodes) 1538416899.901 * * [misc]simplify: iters left: 1 (133 enodes) 1538416899.917 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416899.917 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416899.918 * * * * [misc]progress: [ 147 / 302 ] simplifiying candidate # 1538416899.918 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416899.918 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.921 * * [misc]simplify: iters left: 5 (28 enodes) 1538416899.924 * * [misc]simplify: iters left: 4 (40 enodes) 1538416899.931 * * [misc]simplify: iters left: 3 (66 enodes) 1538416899.940 * * [misc]simplify: iters left: 2 (106 enodes) 1538416899.953 * * [misc]simplify: iters left: 1 (147 enodes) 1538416899.969 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416899.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416899.970 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416899.970 * * [misc]simplify: iters left: 6 (17 enodes) 1538416899.972 * * [misc]simplify: iters left: 5 (26 enodes) 1538416899.976 * * [misc]simplify: iters left: 4 (38 enodes) 1538416899.981 * * [misc]simplify: iters left: 3 (56 enodes) 1538416899.989 * * [misc]simplify: iters left: 2 (95 enodes) 1538416900.010 * * [misc]simplify: iters left: 1 (133 enodes) 1538416900.025 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.025 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.025 * * * * [misc]progress: [ 148 / 302 ] simplifiying candidate # 1538416900.025 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1538416900.025 * * [misc]simplify: iters left: 6 (13 enodes) 1538416900.027 * * [misc]simplify: iters left: 5 (21 enodes) 1538416900.030 * * [misc]simplify: iters left: 4 (30 enodes) 1538416900.034 * * [misc]simplify: iters left: 3 (48 enodes) 1538416900.043 * * [misc]simplify: iters left: 2 (86 enodes) 1538416900.054 * * [misc]simplify: iters left: 1 (122 enodes) 1538416900.067 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416900.068 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.068 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.068 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.070 * * [misc]simplify: iters left: 5 (25 enodes) 1538416900.076 * * [misc]simplify: iters left: 4 (37 enodes) 1538416900.087 * * [misc]simplify: iters left: 3 (55 enodes) 1538416900.102 * * [misc]simplify: iters left: 2 (94 enodes) 1538416900.125 * * [misc]simplify: iters left: 1 (132 enodes) 1538416900.140 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.140 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.140 * * * * [misc]progress: [ 149 / 302 ] simplifiying candidate # 1538416900.140 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1538416900.140 * * [misc]simplify: iters left: 6 (12 enodes) 1538416900.142 * * [misc]simplify: iters left: 5 (20 enodes) 1538416900.145 * * [misc]simplify: iters left: 4 (31 enodes) 1538416900.149 * * [misc]simplify: iters left: 3 (47 enodes) 1538416900.155 * * [misc]simplify: iters left: 2 (85 enodes) 1538416900.177 * * [misc]simplify: iters left: 1 (121 enodes) 1538416900.193 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416900.193 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.193 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.193 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.195 * * [misc]simplify: iters left: 5 (25 enodes) 1538416900.199 * * [misc]simplify: iters left: 4 (37 enodes) 1538416900.204 * * [misc]simplify: iters left: 3 (55 enodes) 1538416900.215 * * [misc]simplify: iters left: 2 (94 enodes) 1538416900.239 * * [misc]simplify: iters left: 1 (132 enodes) 1538416900.267 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.267 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.267 * * * * [misc]progress: [ 150 / 302 ] simplifiying candidate # 1538416900.267 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1538416900.267 * * [misc]simplify: iters left: 6 (12 enodes) 1538416900.271 * * [misc]simplify: iters left: 5 (18 enodes) 1538416900.276 * * [misc]simplify: iters left: 4 (27 enodes) 1538416900.284 * * [misc]simplify: iters left: 3 (43 enodes) 1538416900.297 * * [misc]simplify: iters left: 2 (82 enodes) 1538416900.313 * * [misc]simplify: iters left: 1 (120 enodes) 1538416900.328 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1538416900.328 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.328 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416900.328 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.330 * * [misc]simplify: iters left: 5 (27 enodes) 1538416900.336 * * [misc]simplify: iters left: 4 (39 enodes) 1538416900.347 * * [misc]simplify: iters left: 3 (65 enodes) 1538416900.365 * * [misc]simplify: iters left: 2 (105 enodes) 1538416900.390 * * [misc]simplify: iters left: 1 (146 enodes) 1538416900.421 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416900.421 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))))) 1538416900.421 * * * * [misc]progress: [ 151 / 302 ] simplifiying candidate # 1538416900.422 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1538416900.422 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.427 * * [misc]simplify: iters left: 5 (26 enodes) 1538416900.434 * * [misc]simplify: iters left: 4 (38 enodes) 1538416900.444 * * [misc]simplify: iters left: 3 (56 enodes) 1538416900.461 * * [misc]simplify: iters left: 2 (95 enodes) 1538416900.487 * * [misc]simplify: iters left: 1 (133 enodes) 1538416900.516 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1538416900.516 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1538416900.516 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1538416900.516 * * [misc]simplify: iters left: 6 (14 enodes) 1538416900.521 * * [misc]simplify: iters left: 5 (21 enodes) 1538416900.526 * * [misc]simplify: iters left: 4 (30 enodes) 1538416900.531 * * [misc]simplify: iters left: 3 (46 enodes) 1538416900.538 * * [misc]simplify: iters left: 2 (85 enodes) 1538416900.549 * * [misc]simplify: iters left: 1 (123 enodes) 1538416900.567 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1538416900.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1538416900.568 * * * * [misc]progress: [ 152 / 302 ] simplifiying candidate # 1538416900.568 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416900.568 * * [misc]simplify: iters left: 6 (14 enodes) 1538416900.570 * * [misc]simplify: iters left: 5 (21 enodes) 1538416900.573 * * [misc]simplify: iters left: 4 (24 enodes) 1538416900.576 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416900.576 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (/ 1 (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416900.576 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416900.576 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.579 * * [misc]simplify: iters left: 5 (23 enodes) 1538416900.582 * * [misc]simplify: iters left: 4 (32 enodes) 1538416900.586 * * [misc]simplify: iters left: 3 (48 enodes) 1538416900.593 * * [misc]simplify: iters left: 2 (89 enodes) 1538416900.615 * * [misc]simplify: iters left: 1 (131 enodes) 1538416900.645 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416900.645 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416900.645 * * * * [misc]progress: [ 153 / 302 ] simplifiying candidate # 1538416900.646 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416900.646 * * [misc]simplify: iters left: 6 (13 enodes) 1538416900.650 * * [misc]simplify: iters left: 5 (18 enodes) 1538416900.655 * * [misc]simplify: iters left: 4 (21 enodes) 1538416900.660 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416900.661 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416900.661 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416900.661 * * [misc]simplify: iters left: 6 (16 enodes) 1538416900.666 * * [misc]simplify: iters left: 5 (23 enodes) 1538416900.672 * * [misc]simplify: iters left: 4 (32 enodes) 1538416900.681 * * [misc]simplify: iters left: 3 (48 enodes) 1538416900.696 * * [misc]simplify: iters left: 2 (89 enodes) 1538416900.709 * * [misc]simplify: iters left: 1 (131 enodes) 1538416900.724 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416900.724 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))))) 1538416900.724 * * * * [misc]progress: [ 154 / 302 ] simplifiying candidate # 1538416900.725 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416900.725 * * [misc]simplify: iters left: 6 (12 enodes) 1538416900.726 * * [misc]simplify: iters left: 5 (20 enodes) 1538416900.731 * * [misc]simplify: iters left: 4 (27 enodes) 1538416900.737 * * [misc]simplify: iters left: 3 (37 enodes) 1538416900.743 * * [misc]simplify: iters left: 2 (64 enodes) 1538416900.754 * * [misc]simplify: iters left: 1 (93 enodes) 1538416900.781 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416900.781 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416900.781 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416900.782 * * [misc]simplify: iters left: 6 (17 enodes) 1538416900.787 * * [misc]simplify: iters left: 5 (27 enodes) 1538416900.794 * * [misc]simplify: iters left: 4 (37 enodes) 1538416900.804 * * [misc]simplify: iters left: 3 (55 enodes) 1538416900.820 * * [misc]simplify: iters left: 2 (100 enodes) 1538416900.846 * * [misc]simplify: iters left: 1 (150 enodes) 1538416900.885 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538416900.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416900.886 * * * * [misc]progress: [ 155 / 302 ] simplifiying candidate # 1538416900.886 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1538416900.886 * * [misc]simplify: iters left: 6 (12 enodes) 1538416900.890 * * [misc]simplify: iters left: 5 (20 enodes) 1538416900.895 * * [misc]simplify: iters left: 4 (27 enodes) 1538416900.902 * * [misc]simplify: iters left: 3 (37 enodes) 1538416900.915 * * [misc]simplify: iters left: 2 (64 enodes) 1538416900.937 * * [misc]simplify: iters left: 1 (93 enodes) 1538416900.967 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416900.967 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416900.968 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416900.968 * * [misc]simplify: iters left: 6 (17 enodes) 1538416900.972 * * [misc]simplify: iters left: 5 (27 enodes) 1538416900.976 * * [misc]simplify: iters left: 4 (37 enodes) 1538416900.981 * * [misc]simplify: iters left: 3 (55 enodes) 1538416900.989 * * [misc]simplify: iters left: 2 (100 enodes) 1538416901.007 * * [misc]simplify: iters left: 1 (150 enodes) 1538416901.041 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538416901.041 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416901.041 * * * * [misc]progress: [ 156 / 302 ] simplifiying candidate # 1538416901.041 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1538416901.041 * * [misc]simplify: iters left: 6 (13 enodes) 1538416901.043 * * [misc]simplify: iters left: 5 (21 enodes) 1538416901.046 * * [misc]simplify: iters left: 4 (31 enodes) 1538416901.051 * * [misc]simplify: iters left: 3 (51 enodes) 1538416901.060 * * [misc]simplify: iters left: 2 (90 enodes) 1538416901.078 * * [misc]simplify: iters left: 1 (181 enodes) 1538416901.133 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416901.133 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416901.133 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416901.133 * * [misc]simplify: iters left: 6 (14 enodes) 1538416901.135 * * [misc]simplify: iters left: 5 (22 enodes) 1538416901.138 * * [misc]simplify: iters left: 4 (34 enodes) 1538416901.143 * * [misc]simplify: iters left: 3 (52 enodes) 1538416901.151 * * [misc]simplify: iters left: 2 (97 enodes) 1538416901.177 * * [misc]simplify: iters left: 1 (148 enodes) 1538416901.215 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1538416901.215 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416901.215 * * * * [misc]progress: [ 157 / 302 ] simplifiying candidate # 1538416901.215 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416901.216 * * [misc]simplify: iters left: 6 (16 enodes) 1538416901.220 * * [misc]simplify: iters left: 5 (29 enodes) 1538416901.224 * * [misc]simplify: iters left: 4 (50 enodes) 1538416901.233 * * [misc]simplify: iters left: 3 (70 enodes) 1538416901.251 * * [misc]simplify: iters left: 2 (169 enodes) 1538416901.321 * [exit]simplify: Simplified to (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1538416901.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416901.322 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416901.322 * * [misc]simplify: iters left: 6 (17 enodes) 1538416901.327 * * [misc]simplify: iters left: 5 (26 enodes) 1538416901.334 * * [misc]simplify: iters left: 4 (38 enodes) 1538416901.344 * * [misc]simplify: iters left: 3 (56 enodes) 1538416901.360 * * [misc]simplify: iters left: 2 (101 enodes) 1538416901.376 * * [misc]simplify: iters left: 1 (151 enodes) 1538416901.399 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416901.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416901.399 * * * * [misc]progress: [ 158 / 302 ] simplifiying candidate # 1538416901.400 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416901.400 * * [misc]simplify: iters left: 6 (15 enodes) 1538416901.404 * * [misc]simplify: iters left: 5 (24 enodes) 1538416901.411 * * [misc]simplify: iters left: 4 (34 enodes) 1538416901.421 * * [misc]simplify: iters left: 3 (54 enodes) 1538416901.441 * * [misc]simplify: iters left: 2 (93 enodes) 1538416901.459 * * [misc]simplify: iters left: 1 (182 enodes) 1538416901.528 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1538416901.528 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416901.529 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416901.529 * * [misc]simplify: iters left: 6 (17 enodes) 1538416901.534 * * [misc]simplify: iters left: 5 (26 enodes) 1538416901.543 * * [misc]simplify: iters left: 4 (38 enodes) 1538416901.554 * * [misc]simplify: iters left: 3 (56 enodes) 1538416901.570 * * [misc]simplify: iters left: 2 (101 enodes) 1538416901.597 * * [misc]simplify: iters left: 1 (151 enodes) 1538416901.636 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416901.636 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416901.636 * * * * [misc]progress: [ 159 / 302 ] simplifiying candidate # 1538416901.636 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1538416901.637 * * [misc]simplify: iters left: 6 (7 enodes) 1538416901.639 * * [misc]simplify: iters left: 5 (13 enodes) 1538416901.643 * * [misc]simplify: iters left: 4 (22 enodes) 1538416901.648 * * [misc]simplify: iters left: 3 (24 enodes) 1538416901.653 * * [misc]simplify: iters left: 2 (29 enodes) 1538416901.659 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1538416901.659 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416901.659 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416901.659 * * [misc]simplify: iters left: 6 (16 enodes) 1538416901.662 * * [misc]simplify: iters left: 5 (25 enodes) 1538416901.665 * * [misc]simplify: iters left: 4 (37 enodes) 1538416901.671 * * [misc]simplify: iters left: 3 (55 enodes) 1538416901.681 * * [misc]simplify: iters left: 2 (100 enodes) 1538416901.700 * * [misc]simplify: iters left: 1 (150 enodes) 1538416901.737 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416901.737 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416901.737 * * * * [misc]progress: [ 160 / 302 ] simplifiying candidate # 1538416901.737 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416901.737 * * [misc]simplify: iters left: 6 (11 enodes) 1538416901.740 * * [misc]simplify: iters left: 5 (17 enodes) 1538416901.744 * * [misc]simplify: iters left: 4 (20 enodes) 1538416901.749 * * [misc]simplify: iters left: 3 (22 enodes) 1538416901.754 * * [misc]simplify: iters left: 2 (34 enodes) 1538416901.762 * * [misc]simplify: iters left: 1 (42 enodes) 1538416901.771 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538416901.771 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416901.771 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416901.771 * * [misc]simplify: iters left: 6 (17 enodes) 1538416901.774 * * [misc]simplify: iters left: 5 (27 enodes) 1538416901.777 * * [misc]simplify: iters left: 4 (37 enodes) 1538416901.783 * * [misc]simplify: iters left: 3 (55 enodes) 1538416901.794 * * [misc]simplify: iters left: 2 (100 enodes) 1538416901.811 * * [misc]simplify: iters left: 1 (150 enodes) 1538416901.845 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538416901.845 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416901.845 * * * * [misc]progress: [ 161 / 302 ] simplifiying candidate # 1538416901.846 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1538416901.846 * * [misc]simplify: iters left: 6 (11 enodes) 1538416901.849 * * [misc]simplify: iters left: 5 (17 enodes) 1538416901.853 * * [misc]simplify: iters left: 4 (20 enodes) 1538416901.857 * * [misc]simplify: iters left: 3 (22 enodes) 1538416901.863 * * [misc]simplify: iters left: 2 (34 enodes) 1538416901.870 * * [misc]simplify: iters left: 1 (42 enodes) 1538416901.878 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1538416901.878 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416901.878 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1538416901.879 * * [misc]simplify: iters left: 6 (17 enodes) 1538416901.884 * * [misc]simplify: iters left: 5 (27 enodes) 1538416901.891 * * [misc]simplify: iters left: 4 (37 enodes) 1538416901.901 * * [misc]simplify: iters left: 3 (55 enodes) 1538416901.919 * * [misc]simplify: iters left: 2 (100 enodes) 1538416901.943 * * [misc]simplify: iters left: 1 (150 enodes) 1538416901.980 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538416901.980 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt (sqrt k))) (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416901.980 * * * * [misc]progress: [ 162 / 302 ] simplifiying candidate # 1538416901.981 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1538416901.981 * * [misc]simplify: iters left: 6 (12 enodes) 1538416901.984 * * [misc]simplify: iters left: 5 (18 enodes) 1538416901.986 * * [misc]simplify: iters left: 4 (24 enodes) 1538416901.990 * * [misc]simplify: iters left: 3 (32 enodes) 1538416901.994 * * [misc]simplify: iters left: 2 (41 enodes) 1538416902.004 * * [misc]simplify: iters left: 1 (51 enodes) 1538416902.016 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1538416902.016 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416902.016 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1538416902.016 * * [misc]simplify: iters left: 6 (14 enodes) 1538416902.020 * * [misc]simplify: iters left: 5 (22 enodes) 1538416902.027 * * [misc]simplify: iters left: 4 (34 enodes) 1538416902.036 * * [misc]simplify: iters left: 3 (52 enodes) 1538416902.054 * * [misc]simplify: iters left: 2 (97 enodes) 1538416902.080 * * [misc]simplify: iters left: 1 (148 enodes) 1538416902.119 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1538416902.119 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416902.119 * * * * [misc]progress: [ 163 / 302 ] simplifiying candidate # 1538416902.119 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.120 * * [misc]simplify: iters left: 6 (15 enodes) 1538416902.124 * * [misc]simplify: iters left: 5 (24 enodes) 1538416902.131 * * [misc]simplify: iters left: 4 (32 enodes) 1538416902.139 * * [misc]simplify: iters left: 3 (43 enodes) 1538416902.152 * * [misc]simplify: iters left: 2 (69 enodes) 1538416902.175 * * [misc]simplify: iters left: 1 (119 enodes) 1538416902.228 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.228 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416902.229 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.229 * * [misc]simplify: iters left: 6 (17 enodes) 1538416902.231 * * [misc]simplify: iters left: 5 (26 enodes) 1538416902.235 * * [misc]simplify: iters left: 4 (38 enodes) 1538416902.240 * * [misc]simplify: iters left: 3 (56 enodes) 1538416902.253 * * [misc]simplify: iters left: 2 (101 enodes) 1538416902.280 * * [misc]simplify: iters left: 1 (151 enodes) 1538416902.319 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416902.319 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.319 * * * * [misc]progress: [ 164 / 302 ] simplifiying candidate # 1538416902.320 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.320 * * [misc]simplify: iters left: 6 (14 enodes) 1538416902.326 * * [misc]simplify: iters left: 5 (21 enodes) 1538416902.331 * * [misc]simplify: iters left: 4 (27 enodes) 1538416902.338 * * [misc]simplify: iters left: 3 (35 enodes) 1538416902.349 * * [misc]simplify: iters left: 2 (43 enodes) 1538416902.355 * * [misc]simplify: iters left: 1 (56 enodes) 1538416902.363 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1538416902.363 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416902.363 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.363 * * [misc]simplify: iters left: 6 (17 enodes) 1538416902.366 * * [misc]simplify: iters left: 5 (26 enodes) 1538416902.370 * * [misc]simplify: iters left: 4 (38 enodes) 1538416902.375 * * [misc]simplify: iters left: 3 (56 enodes) 1538416902.384 * * [misc]simplify: iters left: 2 (101 enodes) 1538416902.398 * * [misc]simplify: iters left: 1 (151 enodes) 1538416902.430 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416902.430 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.430 * * * * [misc]progress: [ 165 / 302 ] simplifiying candidate # 1538416902.431 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1538416902.431 * * [misc]simplify: iters left: 6 (6 enodes) 1538416902.433 * * [misc]simplify: iters left: 5 (10 enodes) 1538416902.436 * * [misc]simplify: iters left: 4 (16 enodes) 1538416902.439 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1538416902.439 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.440 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416902.440 * * [misc]simplify: iters left: 6 (16 enodes) 1538416902.444 * * [misc]simplify: iters left: 5 (25 enodes) 1538416902.449 * * [misc]simplify: iters left: 4 (37 enodes) 1538416902.455 * * [misc]simplify: iters left: 3 (55 enodes) 1538416902.463 * * [misc]simplify: iters left: 2 (100 enodes) 1538416902.477 * * [misc]simplify: iters left: 1 (150 enodes) 1538416902.497 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416902.497 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.498 * * * * [misc]progress: [ 166 / 302 ] simplifiying candidate # 1538416902.498 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538416902.498 * * [misc]simplify: iters left: 6 (8 enodes) 1538416902.500 * * [misc]simplify: iters left: 5 (14 enodes) 1538416902.501 * * [misc]simplify: iters left: 4 (15 enodes) 1538416902.503 * * [misc]simplify: iters left: 3 (19 enodes) 1538416902.505 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416902.505 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416902.506 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416902.506 * * [misc]simplify: iters left: 6 (16 enodes) 1538416902.508 * * [misc]simplify: iters left: 5 (26 enodes) 1538416902.513 * * [misc]simplify: iters left: 4 (36 enodes) 1538416902.520 * * [misc]simplify: iters left: 3 (54 enodes) 1538416902.527 * * [misc]simplify: iters left: 2 (99 enodes) 1538416902.541 * * [misc]simplify: iters left: 1 (149 enodes) 1538416902.560 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538416902.560 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538416902.560 * * * * [misc]progress: [ 167 / 302 ] simplifiying candidate # 1538416902.561 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1538416902.561 * * [misc]simplify: iters left: 6 (8 enodes) 1538416902.562 * * [misc]simplify: iters left: 5 (14 enodes) 1538416902.564 * * [misc]simplify: iters left: 4 (15 enodes) 1538416902.566 * * [misc]simplify: iters left: 3 (19 enodes) 1538416902.569 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416902.569 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* 2 n)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416902.569 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416902.569 * * [misc]simplify: iters left: 6 (16 enodes) 1538416902.574 * * [misc]simplify: iters left: 5 (26 enodes) 1538416902.581 * * [misc]simplify: iters left: 4 (36 enodes) 1538416902.590 * * [misc]simplify: iters left: 3 (54 enodes) 1538416902.602 * * [misc]simplify: iters left: 2 (99 enodes) 1538416902.617 * * [misc]simplify: iters left: 1 (149 enodes) 1538416902.637 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538416902.637 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* 2 n)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538416902.637 * * * * [misc]progress: [ 168 / 302 ] simplifiying candidate # 1538416902.637 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1538416902.638 * * [misc]simplify: iters left: 6 (10 enodes) 1538416902.639 * * [misc]simplify: iters left: 5 (16 enodes) 1538416902.641 * * [misc]simplify: iters left: 4 (20 enodes) 1538416902.645 * * [misc]simplify: iters left: 3 (24 enodes) 1538416902.650 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538416902.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416902.651 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1538416902.651 * * [misc]simplify: iters left: 6 (13 enodes) 1538416902.655 * * [misc]simplify: iters left: 5 (21 enodes) 1538416902.661 * * [misc]simplify: iters left: 4 (33 enodes) 1538416902.671 * * [misc]simplify: iters left: 3 (51 enodes) 1538416902.685 * * [misc]simplify: iters left: 2 (96 enodes) 1538416902.711 * * [misc]simplify: iters left: 1 (147 enodes) 1538416902.736 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1538416902.736 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow n (- 1/2 (/ k 2))) (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))))) 1538416902.736 * * * * [misc]progress: [ 169 / 302 ] simplifiying candidate # 1538416902.736 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.737 * * [misc]simplify: iters left: 6 (13 enodes) 1538416902.739 * * [misc]simplify: iters left: 5 (22 enodes) 1538416902.742 * * [misc]simplify: iters left: 4 (26 enodes) 1538416902.746 * * [misc]simplify: iters left: 3 (32 enodes) 1538416902.751 * * [misc]simplify: iters left: 2 (34 enodes) 1538416902.755 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416902.755 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416902.755 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.755 * * [misc]simplify: iters left: 6 (16 enodes) 1538416902.758 * * [misc]simplify: iters left: 5 (25 enodes) 1538416902.761 * * [misc]simplify: iters left: 4 (37 enodes) 1538416902.767 * * [misc]simplify: iters left: 3 (55 enodes) 1538416902.779 * * [misc]simplify: iters left: 2 (100 enodes) 1538416902.805 * * [misc]simplify: iters left: 1 (150 enodes) 1538416902.841 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538416902.841 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538416902.841 * * * * [misc]progress: [ 170 / 302 ] simplifiying candidate # 1538416902.842 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.842 * * [misc]simplify: iters left: 6 (12 enodes) 1538416902.844 * * [misc]simplify: iters left: 5 (19 enodes) 1538416902.846 * * [misc]simplify: iters left: 4 (23 enodes) 1538416902.850 * * [misc]simplify: iters left: 3 (27 enodes) 1538416902.853 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416902.853 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416902.853 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416902.853 * * [misc]simplify: iters left: 6 (16 enodes) 1538416902.855 * * [misc]simplify: iters left: 5 (25 enodes) 1538416902.859 * * [misc]simplify: iters left: 4 (37 enodes) 1538416902.864 * * [misc]simplify: iters left: 3 (55 enodes) 1538416902.877 * * [misc]simplify: iters left: 2 (100 enodes) 1538416902.903 * * [misc]simplify: iters left: 1 (150 enodes) 1538416902.942 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538416902.942 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538416902.943 * * * * [misc]progress: [ 171 / 302 ] simplifiying candidate # 1538416902.943 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1538416902.943 * * [misc]simplify: iters left: 4 (3 enodes) 1538416902.946 * * [misc]simplify: iters left: 3 (5 enodes) 1538416902.946 * [exit]simplify: Simplified to 1 1538416902.947 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416902.947 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416902.947 * * [misc]simplify: iters left: 6 (15 enodes) 1538416902.951 * * [misc]simplify: iters left: 5 (24 enodes) 1538416902.958 * * [misc]simplify: iters left: 4 (36 enodes) 1538416902.966 * * [misc]simplify: iters left: 3 (54 enodes) 1538416902.973 * * [misc]simplify: iters left: 2 (99 enodes) 1538416902.987 * * [misc]simplify: iters left: 1 (149 enodes) 1538416903.007 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416903.007 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416903.007 * * * * [misc]progress: [ 172 / 302 ] simplifiying candidate # 1538416903.008 * [enter]simplify: Simplifying (/ 1 1) 1538416903.008 * * [misc]simplify: iters left: 2 (2 enodes) 1538416903.008 * * [misc]simplify: iters left: 1 (4 enodes) 1538416903.008 * [exit]simplify: Simplified to 1 1538416903.008 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.009 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.009 * * [misc]simplify: iters left: 6 (15 enodes) 1538416903.011 * * [misc]simplify: iters left: 5 (24 enodes) 1538416903.014 * * [misc]simplify: iters left: 4 (36 enodes) 1538416903.019 * * [misc]simplify: iters left: 3 (54 enodes) 1538416903.027 * * [misc]simplify: iters left: 2 (99 enodes) 1538416903.054 * * [misc]simplify: iters left: 1 (149 enodes) 1538416903.094 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416903.094 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416903.094 * * * * [misc]progress: [ 173 / 302 ] simplifiying candidate # 1538416903.094 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1538416903.094 * * [misc]simplify: iters left: 3 (4 enodes) 1538416903.095 * * [misc]simplify: iters left: 2 (6 enodes) 1538416903.097 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1538416903.097 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.097 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.097 * * [misc]simplify: iters left: 6 (15 enodes) 1538416903.102 * * [misc]simplify: iters left: 5 (26 enodes) 1538416903.109 * * [misc]simplify: iters left: 4 (37 enodes) 1538416903.118 * * [misc]simplify: iters left: 3 (64 enodes) 1538416903.127 * * [misc]simplify: iters left: 2 (125 enodes) 1538416903.151 * * [misc]simplify: iters left: 1 (198 enodes) 1538416903.195 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416903.195 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416903.195 * * * * [misc]progress: [ 174 / 302 ] simplifiying candidate # 1538416903.195 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1538416903.195 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.198 * * [misc]simplify: iters left: 5 (16 enodes) 1538416903.202 * * [misc]simplify: iters left: 4 (19 enodes) 1538416903.207 * * [misc]simplify: iters left: 3 (21 enodes) 1538416903.213 * * [misc]simplify: iters left: 2 (33 enodes) 1538416903.222 * * [misc]simplify: iters left: 1 (41 enodes) 1538416903.232 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1538416903.232 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))))) 1538416903.232 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1538416903.232 * * [misc]simplify: iters left: 6 (13 enodes) 1538416903.236 * * [misc]simplify: iters left: 5 (20 enodes) 1538416903.242 * * [misc]simplify: iters left: 4 (29 enodes) 1538416903.250 * * [misc]simplify: iters left: 3 (45 enodes) 1538416903.264 * * [misc]simplify: iters left: 2 (86 enodes) 1538416903.287 * * [misc]simplify: iters left: 1 (128 enodes) 1538416903.303 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1538416903.303 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt (* n 2)) (sqrt k)) (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))))) 1538416903.303 * * * * [misc]progress: [ 175 / 302 ] simplifiying candidate # 1538416903.303 * * * * [misc]progress: [ 176 / 302 ] simplifiying candidate # 1538416903.303 * * * * [misc]progress: [ 177 / 302 ] simplifiying candidate # 1538416903.303 * * * * [misc]progress: [ 178 / 302 ] simplifiying candidate # 1538416903.303 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.303 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.305 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.307 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.310 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.310 * * * * [misc]progress: [ 179 / 302 ] simplifiying candidate # 1538416903.310 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.310 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.312 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.314 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.318 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.318 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.318 * * * * [misc]progress: [ 180 / 302 ] simplifiying candidate # 1538416903.318 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416903.318 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.321 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.325 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416903.325 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416903.325 * * * * [misc]progress: [ 181 / 302 ] simplifiying candidate # 1538416903.325 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416903.325 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.328 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.332 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416903.332 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416903.332 * * * * [misc]progress: [ 182 / 302 ] simplifiying candidate # 1538416903.332 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416903.332 * * [misc]simplify: iters left: 6 (9 enodes) 1538416903.335 * * [misc]simplify: iters left: 5 (11 enodes) 1538416903.338 * * [misc]simplify: iters left: 4 (14 enodes) 1538416903.342 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416903.342 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416903.342 * * * * [misc]progress: [ 183 / 302 ] simplifiying candidate # 1538416903.342 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.343 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.346 * * [misc]simplify: iters left: 5 (15 enodes) 1538416903.350 * * [misc]simplify: iters left: 4 (18 enodes) 1538416903.355 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.355 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.355 * * * * [misc]progress: [ 184 / 302 ] simplifiying candidate # 1538416903.355 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.355 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.359 * * [misc]simplify: iters left: 5 (15 enodes) 1538416903.363 * * [misc]simplify: iters left: 4 (18 enodes) 1538416903.368 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.368 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.368 * * * * [misc]progress: [ 185 / 302 ] simplifiying candidate # 1538416903.368 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.368 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.372 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.376 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.380 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.380 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416903.380 * * * * [misc]progress: [ 186 / 302 ] simplifiying candidate # 1538416903.381 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416903.381 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.384 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.387 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416903.388 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416903.388 * * * * [misc]progress: [ 187 / 302 ] simplifiying candidate # 1538416903.388 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416903.388 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.391 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.395 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416903.395 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))) 1538416903.395 * * * * [misc]progress: [ 188 / 302 ] simplifiying candidate # 1538416903.395 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416903.395 * * [misc]simplify: iters left: 6 (9 enodes) 1538416903.398 * * [misc]simplify: iters left: 5 (11 enodes) 1538416903.401 * * [misc]simplify: iters left: 4 (14 enodes) 1538416903.405 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416903.405 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))) 1538416903.405 * * * * [misc]progress: [ 189 / 302 ] simplifiying candidate # 1538416903.406 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.406 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.411 * * [misc]simplify: iters left: 5 (15 enodes) 1538416903.415 * * [misc]simplify: iters left: 4 (18 enodes) 1538416903.420 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.420 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.420 * * * * [misc]progress: [ 190 / 302 ] simplifiying candidate # 1538416903.420 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.421 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.424 * * [misc]simplify: iters left: 5 (15 enodes) 1538416903.429 * * [misc]simplify: iters left: 4 (18 enodes) 1538416903.432 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.432 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.433 * * * * [misc]progress: [ 191 / 302 ] simplifiying candidate # 1538416903.433 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.433 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.434 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.436 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.439 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.439 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416903.439 * * * * [misc]progress: [ 192 / 302 ] simplifiying candidate # 1538416903.439 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416903.439 * * [misc]simplify: iters left: 6 (9 enodes) 1538416903.440 * * [misc]simplify: iters left: 5 (12 enodes) 1538416903.442 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416903.442 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538416903.442 * * * * [misc]progress: [ 193 / 302 ] simplifiying candidate # 1538416903.442 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416903.442 * * [misc]simplify: iters left: 6 (9 enodes) 1538416903.444 * * [misc]simplify: iters left: 5 (12 enodes) 1538416903.445 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416903.445 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538416903.445 * * * * [misc]progress: [ 194 / 302 ] simplifiying candidate # 1538416903.445 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416903.446 * * [misc]simplify: iters left: 6 (8 enodes) 1538416903.447 * * [misc]simplify: iters left: 5 (10 enodes) 1538416903.448 * * [misc]simplify: iters left: 4 (13 enodes) 1538416903.450 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416903.450 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))) 1538416903.450 * * * * [misc]progress: [ 195 / 302 ] simplifiying candidate # 1538416903.450 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.450 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.452 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.454 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.456 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.456 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.456 * * * * [misc]progress: [ 196 / 302 ] simplifiying candidate # 1538416903.457 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.457 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.458 * * [misc]simplify: iters left: 5 (14 enodes) 1538416903.460 * * [misc]simplify: iters left: 4 (17 enodes) 1538416903.463 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416903.463 * * * * [misc]progress: [ 197 / 302 ] simplifiying candidate # 1538416903.463 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.463 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.465 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.466 * * [misc]simplify: iters left: 4 (16 enodes) 1538416903.470 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.470 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416903.470 * * * * [misc]progress: [ 198 / 302 ] simplifiying candidate # 1538416903.470 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.470 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.473 * * [misc]simplify: iters left: 5 (13 enodes) 1538416903.477 * * [misc]simplify: iters left: 4 (16 enodes) 1538416903.481 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.481 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416903.481 * * * * [misc]progress: [ 199 / 302 ] simplifiying candidate # 1538416903.481 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1538416903.481 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.485 * * [misc]simplify: iters left: 5 (15 enodes) 1538416903.489 * * [misc]simplify: iters left: 4 (18 enodes) 1538416903.494 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1538416903.494 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))))) 1538416903.494 * * * * [misc]progress: [ 200 / 302 ] simplifiying candidate # 1538416903.495 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416903.495 * * [misc]simplify: iters left: 3 (6 enodes) 1538416903.496 * * [misc]simplify: iters left: 2 (7 enodes) 1538416903.498 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416903.498 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2)))) 1538416903.498 * * * * [misc]progress: [ 201 / 302 ] simplifiying candidate # 1538416903.499 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538416903.499 * * [misc]simplify: iters left: 4 (5 enodes) 1538416903.500 * * [misc]simplify: iters left: 3 (9 enodes) 1538416903.503 * * [misc]simplify: iters left: 2 (11 enodes) 1538416903.506 * * [misc]simplify: iters left: 1 (13 enodes) 1538416903.508 * [exit]simplify: Simplified to (sqrt PI) 1538416903.509 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1538416903.509 * * * * [misc]progress: [ 202 / 302 ] simplifiying candidate # 1538416903.509 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538416903.509 * * [misc]simplify: iters left: 4 (5 enodes) 1538416903.511 * * [misc]simplify: iters left: 3 (9 enodes) 1538416903.513 * * [misc]simplify: iters left: 2 (11 enodes) 1538416903.516 * * [misc]simplify: iters left: 1 (13 enodes) 1538416903.518 * [exit]simplify: Simplified to (sqrt PI) 1538416903.518 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (log PI) (- (/ k 2))))))) 1538416903.519 * * * * [misc]progress: [ 203 / 302 ] simplifiying candidate # 1538416903.519 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538416903.519 * * [misc]simplify: iters left: 4 (5 enodes) 1538416903.521 * * [misc]simplify: iters left: 3 (8 enodes) 1538416903.523 * * [misc]simplify: iters left: 2 (9 enodes) 1538416903.526 * * [misc]simplify: iters left: 1 (12 enodes) 1538416903.531 * [exit]simplify: Simplified to (sqrt PI) 1538416903.531 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1538416903.531 * * * * [misc]progress: [ 204 / 302 ] simplifiying candidate # 1538416903.531 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538416903.531 * * [misc]simplify: iters left: 4 (5 enodes) 1538416903.533 * * [misc]simplify: iters left: 3 (8 enodes) 1538416903.536 * * [misc]simplify: iters left: 2 (9 enodes) 1538416903.538 * * [misc]simplify: iters left: 1 (12 enodes) 1538416903.542 * [exit]simplify: Simplified to (sqrt PI) 1538416903.542 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (exp (* (- (/ k 2)) (log PI)))))) 1538416903.542 * * * * [misc]progress: [ 205 / 302 ] simplifiying candidate # 1538416903.542 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538416903.543 * * [misc]simplify: iters left: 6 (11 enodes) 1538416903.546 * * [misc]simplify: iters left: 5 (17 enodes) 1538416903.551 * * [misc]simplify: iters left: 4 (26 enodes) 1538416903.558 * * [misc]simplify: iters left: 3 (42 enodes) 1538416903.570 * * [misc]simplify: iters left: 2 (81 enodes) 1538416903.590 * * [misc]simplify: iters left: 1 (119 enodes) 1538416903.603 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416903.604 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538416903.604 * * * * [misc]progress: [ 206 / 302 ] simplifiying candidate # 1538416903.604 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538416903.604 * * [misc]simplify: iters left: 6 (10 enodes) 1538416903.605 * * [misc]simplify: iters left: 5 (16 enodes) 1538416903.608 * * [misc]simplify: iters left: 4 (25 enodes) 1538416903.612 * * [misc]simplify: iters left: 3 (41 enodes) 1538416903.618 * * [misc]simplify: iters left: 2 (80 enodes) 1538416903.635 * * [misc]simplify: iters left: 1 (118 enodes) 1538416903.657 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416903.658 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538416903.658 * * * * [misc]progress: [ 207 / 302 ] simplifiying candidate # 1538416903.658 * * * * [misc]progress: [ 208 / 302 ] simplifiying candidate # 1538416903.658 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538416903.658 * * [misc]simplify: iters left: 5 (8 enodes) 1538416903.659 * * [misc]simplify: iters left: 4 (11 enodes) 1538416903.661 * * [misc]simplify: iters left: 3 (14 enodes) 1538416903.662 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538416903.662 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.663 * * * * [misc]progress: [ 209 / 302 ] simplifiying candidate # 1538416903.663 * * * * [misc]progress: [ 210 / 302 ] simplifiying candidate # 1538416903.663 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416903.663 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.665 * * [misc]simplify: iters left: 5 (21 enodes) 1538416903.669 * * [misc]simplify: iters left: 4 (44 enodes) 1538416903.677 * * [misc]simplify: iters left: 3 (125 enodes) 1538416903.706 * * [misc]simplify: iters left: 2 (343 enodes) 1538416903.827 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538416903.827 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538416903.827 * * * * [misc]progress: [ 211 / 302 ] simplifiying candidate # 1538416903.827 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416903.827 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.829 * * [misc]simplify: iters left: 5 (21 enodes) 1538416903.833 * * [misc]simplify: iters left: 4 (44 enodes) 1538416903.842 * * [misc]simplify: iters left: 3 (125 enodes) 1538416903.884 * * [misc]simplify: iters left: 2 (343 enodes) 1538416903.982 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1538416903.982 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2))))))) 1538416903.982 * * * * [misc]progress: [ 212 / 302 ] simplifiying candidate # 1538416903.982 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1538416903.982 * * [misc]simplify: iters left: 6 (12 enodes) 1538416903.984 * * [misc]simplify: iters left: 5 (19 enodes) 1538416903.987 * * [misc]simplify: iters left: 4 (32 enodes) 1538416903.997 * * [misc]simplify: iters left: 3 (67 enodes) 1538416904.018 * * [misc]simplify: iters left: 2 (194 enodes) 1538416904.116 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1538416904.116 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538416904.116 * * * * [misc]progress: [ 213 / 302 ] simplifiying candidate # 1538416904.117 * * * * [misc]progress: [ 214 / 302 ] simplifiying candidate # 1538416904.117 * * * * [misc]progress: [ 215 / 302 ] simplifiying candidate # 1538416904.117 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.117 * * [misc]simplify: iters left: 6 (14 enodes) 1538416904.122 * * [misc]simplify: iters left: 5 (26 enodes) 1538416904.130 * * [misc]simplify: iters left: 4 (58 enodes) 1538416904.152 * * [misc]simplify: iters left: 3 (117 enodes) 1538416904.189 * * [misc]simplify: iters left: 2 (193 enodes) 1538416904.257 * * [misc]simplify: iters left: 1 (263 enodes) 1538416904.392 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.392 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* k (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.392 * * * * [misc]progress: [ 216 / 302 ] simplifiying candidate # 1538416904.393 * * * * [misc]progress: [ 217 / 302 ] simplifiying candidate # 1538416904.393 * * * * [misc]progress: [ 218 / 302 ] simplifiying candidate # 1538416904.393 * * * * [misc]progress: [ 219 / 302 ] simplifiying candidate # 1538416904.393 * * * * [misc]progress: [ 220 / 302 ] simplifiying candidate # 1538416904.393 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538416904.393 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.396 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.398 * * [misc]simplify: iters left: 4 (16 enodes) 1538416904.400 * * [misc]simplify: iters left: 3 (17 enodes) 1538416904.402 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538416904.402 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416904.403 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416904.403 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.404 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.406 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416904.406 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416904.406 * * * * [misc]progress: [ 221 / 302 ] simplifiying candidate # 1538416904.406 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1538416904.406 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.408 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.410 * * [misc]simplify: iters left: 4 (16 enodes) 1538416904.412 * * [misc]simplify: iters left: 3 (17 enodes) 1538416904.414 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1538416904.414 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416904.414 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416904.414 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.416 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.418 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416904.418 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416904.418 * * * * [misc]progress: [ 222 / 302 ] simplifiying candidate # 1538416904.418 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416904.418 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.419 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.422 * * [misc]simplify: iters left: 4 (20 enodes) 1538416904.425 * * [misc]simplify: iters left: 3 (21 enodes) 1538416904.428 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1538416904.428 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.428 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416904.428 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.430 * * [misc]simplify: iters left: 5 (11 enodes) 1538416904.431 * * [misc]simplify: iters left: 4 (14 enodes) 1538416904.433 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416904.433 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.433 * * * * [misc]progress: [ 223 / 302 ] simplifiying candidate # 1538416904.434 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.434 * * [misc]simplify: iters left: 6 (14 enodes) 1538416904.436 * * [misc]simplify: iters left: 5 (23 enodes) 1538416904.443 * * [misc]simplify: iters left: 4 (35 enodes) 1538416904.452 * * [misc]simplify: iters left: 3 (38 enodes) 1538416904.462 * * [misc]simplify: iters left: 2 (41 enodes) 1538416904.474 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.474 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.474 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.474 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.478 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.482 * * [misc]simplify: iters left: 4 (18 enodes) 1538416904.487 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.487 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.487 * * * * [misc]progress: [ 224 / 302 ] simplifiying candidate # 1538416904.487 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.488 * * [misc]simplify: iters left: 6 (13 enodes) 1538416904.491 * * [misc]simplify: iters left: 5 (18 enodes) 1538416904.496 * * [misc]simplify: iters left: 4 (23 enodes) 1538416904.503 * * [misc]simplify: iters left: 3 (24 enodes) 1538416904.509 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.509 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.510 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.510 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.514 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.518 * * [misc]simplify: iters left: 4 (18 enodes) 1538416904.522 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.522 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.522 * * * * [misc]progress: [ 225 / 302 ] simplifiying candidate # 1538416904.523 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1538416904.523 * * [misc]simplify: iters left: 6 (6 enodes) 1538416904.525 * * [misc]simplify: iters left: 5 (10 enodes) 1538416904.528 * * [misc]simplify: iters left: 4 (16 enodes) 1538416904.532 * * [misc]simplify: iters left: 3 (18 enodes) 1538416904.535 * * [misc]simplify: iters left: 2 (23 enodes) 1538416904.541 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416904.541 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.541 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.541 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.544 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.548 * * [misc]simplify: iters left: 4 (17 enodes) 1538416904.553 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.553 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.553 * * * * [misc]progress: [ 226 / 302 ] simplifiying candidate # 1538416904.553 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538416904.553 * * [misc]simplify: iters left: 5 (9 enodes) 1538416904.556 * * [misc]simplify: iters left: 4 (11 enodes) 1538416904.559 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538416904.559 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416904.559 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416904.559 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.562 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.567 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416904.567 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416904.567 * * * * [misc]progress: [ 227 / 302 ] simplifiying candidate # 1538416904.567 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1538416904.567 * * [misc]simplify: iters left: 5 (9 enodes) 1538416904.570 * * [misc]simplify: iters left: 4 (11 enodes) 1538416904.573 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1538416904.573 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1538416904.573 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416904.573 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.576 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.579 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416904.579 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416904.580 * * * * [misc]progress: [ 228 / 302 ] simplifiying candidate # 1538416904.580 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538416904.580 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.581 * * [misc]simplify: iters left: 5 (12 enodes) 1538416904.583 * * [misc]simplify: iters left: 4 (15 enodes) 1538416904.585 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1538416904.585 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.585 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416904.585 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.586 * * [misc]simplify: iters left: 5 (11 enodes) 1538416904.588 * * [misc]simplify: iters left: 4 (14 enodes) 1538416904.590 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1538416904.590 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.590 * * * * [misc]progress: [ 229 / 302 ] simplifiying candidate # 1538416904.590 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.590 * * [misc]simplify: iters left: 6 (13 enodes) 1538416904.592 * * [misc]simplify: iters left: 5 (18 enodes) 1538416904.594 * * [misc]simplify: iters left: 4 (21 enodes) 1538416904.597 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.597 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.597 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.598 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.599 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.601 * * [misc]simplify: iters left: 4 (18 enodes) 1538416904.604 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.604 * * * * [misc]progress: [ 230 / 302 ] simplifiying candidate # 1538416904.604 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.604 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.606 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.608 * * [misc]simplify: iters left: 4 (18 enodes) 1538416904.613 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.613 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.613 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.614 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.617 * * [misc]simplify: iters left: 5 (15 enodes) 1538416904.621 * * [misc]simplify: iters left: 4 (18 enodes) 1538416904.626 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.626 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.626 * * * * [misc]progress: [ 231 / 302 ] simplifiying candidate # 1538416904.627 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1538416904.627 * * [misc]simplify: iters left: 4 (5 enodes) 1538416904.628 * * [misc]simplify: iters left: 3 (7 enodes) 1538416904.631 * * [misc]simplify: iters left: 2 (9 enodes) 1538416904.632 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538416904.632 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.633 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.633 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.636 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.640 * * [misc]simplify: iters left: 4 (17 enodes) 1538416904.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.644 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.644 * * * * [misc]progress: [ 232 / 302 ] simplifiying candidate # 1538416904.644 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538416904.644 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.645 * * [misc]simplify: iters left: 4 (11 enodes) 1538416904.647 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538416904.647 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416904.647 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416904.647 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.648 * * [misc]simplify: iters left: 5 (12 enodes) 1538416904.650 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416904.650 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416904.650 * * * * [misc]progress: [ 233 / 302 ] simplifiying candidate # 1538416904.650 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1538416904.650 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.651 * * [misc]simplify: iters left: 4 (11 enodes) 1538416904.652 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1538416904.652 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416904.653 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416904.653 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.654 * * [misc]simplify: iters left: 5 (12 enodes) 1538416904.656 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416904.656 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416904.656 * * * * [misc]progress: [ 234 / 302 ] simplifiying candidate # 1538416904.656 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1538416904.656 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.657 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.659 * * [misc]simplify: iters left: 4 (16 enodes) 1538416904.661 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1538416904.661 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.661 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416904.661 * * [misc]simplify: iters left: 6 (8 enodes) 1538416904.662 * * [misc]simplify: iters left: 5 (10 enodes) 1538416904.664 * * [misc]simplify: iters left: 4 (13 enodes) 1538416904.666 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1538416904.666 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.666 * * * * [misc]progress: [ 235 / 302 ] simplifiying candidate # 1538416904.666 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.666 * * [misc]simplify: iters left: 6 (12 enodes) 1538416904.668 * * [misc]simplify: iters left: 5 (19 enodes) 1538416904.671 * * [misc]simplify: iters left: 4 (22 enodes) 1538416904.674 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416904.674 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.674 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.674 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.676 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.678 * * [misc]simplify: iters left: 4 (17 enodes) 1538416904.680 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.680 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.680 * * * * [misc]progress: [ 236 / 302 ] simplifiying candidate # 1538416904.680 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.680 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.682 * * [misc]simplify: iters left: 5 (16 enodes) 1538416904.684 * * [misc]simplify: iters left: 4 (19 enodes) 1538416904.687 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1538416904.687 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.687 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.687 * * [misc]simplify: iters left: 6 (11 enodes) 1538416904.688 * * [misc]simplify: iters left: 5 (14 enodes) 1538416904.690 * * [misc]simplify: iters left: 4 (17 enodes) 1538416904.692 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1538416904.692 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1538416904.692 * * * * [misc]progress: [ 237 / 302 ] simplifiying candidate # 1538416904.693 * [enter]simplify: Simplifying (/ 1 1) 1538416904.693 * * [misc]simplify: iters left: 2 (2 enodes) 1538416904.693 * * [misc]simplify: iters left: 1 (4 enodes) 1538416904.693 * [exit]simplify: Simplified to 1 1538416904.693 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.693 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.694 * * [misc]simplify: iters left: 6 (10 enodes) 1538416904.695 * * [misc]simplify: iters left: 5 (13 enodes) 1538416904.697 * * [misc]simplify: iters left: 4 (16 enodes) 1538416904.699 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.699 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.699 * * * * [misc]progress: [ 238 / 302 ] simplifiying candidate # 1538416904.699 * * * * [misc]progress: [ 239 / 302 ] simplifiying candidate # 1538416904.699 * * * * [misc]progress: [ 240 / 302 ] simplifiying candidate # 1538416904.699 * * * * [misc]progress: [ 241 / 302 ] simplifiying candidate # 1538416904.699 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416904.699 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.701 * * [misc]simplify: iters left: 4 (10 enodes) 1538416904.702 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416904.702 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538416904.702 * * * * [misc]progress: [ 242 / 302 ] simplifiying candidate # 1538416904.702 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416904.702 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.703 * * [misc]simplify: iters left: 4 (10 enodes) 1538416904.704 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416904.704 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2)))))) 1538416904.705 * * * * [misc]progress: [ 243 / 302 ] simplifiying candidate # 1538416904.705 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1538416904.705 * * [misc]simplify: iters left: 5 (6 enodes) 1538416904.706 * * [misc]simplify: iters left: 4 (8 enodes) 1538416904.707 * * [misc]simplify: iters left: 3 (11 enodes) 1538416904.708 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1538416904.708 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2)))))) 1538416904.708 * * * * [misc]progress: [ 244 / 302 ] simplifiying candidate # 1538416904.708 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.708 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.710 * * [misc]simplify: iters left: 5 (12 enodes) 1538416904.711 * * [misc]simplify: iters left: 4 (15 enodes) 1538416904.713 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.713 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.713 * * * * [misc]progress: [ 245 / 302 ] simplifiying candidate # 1538416904.713 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.713 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.715 * * [misc]simplify: iters left: 5 (12 enodes) 1538416904.716 * * [misc]simplify: iters left: 4 (15 enodes) 1538416904.718 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1538416904.718 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1538416904.718 * * * * [misc]progress: [ 246 / 302 ] simplifiying candidate # 1538416904.719 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1538416904.719 * * [misc]simplify: iters left: 5 (8 enodes) 1538416904.720 * * [misc]simplify: iters left: 4 (11 enodes) 1538416904.721 * * [misc]simplify: iters left: 3 (14 enodes) 1538416904.723 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1538416904.723 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416904.723 * * * * [misc]progress: [ 247 / 302 ] simplifiying candidate # 1538416904.723 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416904.724 * * [misc]simplify: iters left: 4 (4 enodes) 1538416904.724 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1538416904.724 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1538416904.724 * * * * [misc]progress: [ 248 / 302 ] simplifiying candidate # 1538416904.724 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1538416904.724 * * [misc]simplify: iters left: 2 (3 enodes) 1538416904.725 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1538416904.725 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1538416904.725 * * * * [misc]progress: [ 249 / 302 ] simplifiying candidate # 1538416904.725 * * * * [misc]progress: [ 250 / 302 ] simplifiying candidate # 1538416904.725 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416904.725 * * [misc]simplify: iters left: 3 (6 enodes) 1538416904.726 * * [misc]simplify: iters left: 2 (7 enodes) 1538416904.727 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416904.727 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2))))) 1538416904.727 * * * * [misc]progress: [ 251 / 302 ] simplifiying candidate # 1538416904.727 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1538416904.727 * * [misc]simplify: iters left: 6 (9 enodes) 1538416904.729 * * [misc]simplify: iters left: 5 (16 enodes) 1538416904.732 * * [misc]simplify: iters left: 4 (32 enodes) 1538416904.738 * * [misc]simplify: iters left: 3 (68 enodes) 1538416904.755 * * [misc]simplify: iters left: 2 (171 enodes) 1538416904.789 * * [misc]simplify: iters left: 1 (342 enodes) 1538416904.913 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1538416904.914 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2))))))) 1538416904.914 * * * * [misc]progress: [ 252 / 302 ] simplifiying candidate # 1538416904.914 * * * * [misc]progress: [ 253 / 302 ] simplifiying candidate # 1538416904.914 * [enter]simplify: Simplifying (* n 2) 1538416904.914 * * [misc]simplify: iters left: 2 (3 enodes) 1538416904.915 * * [misc]simplify: iters left: 1 (4 enodes) 1538416904.916 * [exit]simplify: Simplified to (* n 2) 1538416904.916 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2))))))) 1538416904.916 * * * * [misc]progress: [ 254 / 302 ] simplifiying candidate # 1538416904.916 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416904.916 * * [misc]simplify: iters left: 3 (6 enodes) 1538416904.918 * * [misc]simplify: iters left: 2 (7 enodes) 1538416904.920 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416904.920 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2)))))) 1538416904.920 * * * * [misc]progress: [ 255 / 302 ] simplifiying candidate # 1538416904.920 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416904.921 * * [misc]simplify: iters left: 5 (6 enodes) 1538416904.922 * * [misc]simplify: iters left: 4 (8 enodes) 1538416904.924 * * [misc]simplify: iters left: 3 (11 enodes) 1538416904.928 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416904.928 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1538416904.928 * * * * [misc]progress: [ 256 / 302 ] simplifiying candidate # 1538416904.928 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416904.928 * * [misc]simplify: iters left: 5 (6 enodes) 1538416904.930 * * [misc]simplify: iters left: 4 (8 enodes) 1538416904.932 * * [misc]simplify: iters left: 3 (11 enodes) 1538416904.935 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416904.935 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1538416904.935 * * * * [misc]progress: [ 257 / 302 ] simplifiying candidate # 1538416904.936 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416904.936 * * [misc]simplify: iters left: 4 (5 enodes) 1538416904.937 * * [misc]simplify: iters left: 3 (7 enodes) 1538416904.939 * * [misc]simplify: iters left: 2 (10 enodes) 1538416904.941 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416904.942 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2)))))) 1538416904.942 * * * * [misc]progress: [ 258 / 302 ] simplifiying candidate # 1538416904.942 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416904.942 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.944 * * [misc]simplify: iters left: 4 (10 enodes) 1538416904.947 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416904.947 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538416904.947 * * * * [misc]progress: [ 259 / 302 ] simplifiying candidate # 1538416904.947 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416904.947 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.949 * * [misc]simplify: iters left: 4 (10 enodes) 1538416904.952 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416904.952 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2))))))) 1538416904.952 * * * * [misc]progress: [ 260 / 302 ] simplifiying candidate # 1538416904.953 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1538416904.953 * * [misc]simplify: iters left: 5 (7 enodes) 1538416904.955 * * [misc]simplify: iters left: 4 (9 enodes) 1538416904.957 * * [misc]simplify: iters left: 3 (12 enodes) 1538416904.960 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1538416904.960 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2))))))) 1538416904.961 * * * * [misc]progress: [ 261 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 262 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 263 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 264 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 265 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 266 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 267 / 302 ] simplifiying candidate # 1538416904.961 * * * * [misc]progress: [ 268 / 302 ] simplifiying candidate # 1538416904.961 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538416904.961 * * [misc]simplify: iters left: 6 (8 enodes) 1538416904.964 * * [misc]simplify: iters left: 5 (11 enodes) 1538416904.967 * * [misc]simplify: iters left: 4 (20 enodes) 1538416904.973 * * [misc]simplify: iters left: 3 (30 enodes) 1538416904.982 * * [misc]simplify: iters left: 2 (45 enodes) 1538416904.994 * * [misc]simplify: iters left: 1 (53 enodes) 1538416905.007 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538416905.007 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.007 * * * * [misc]progress: [ 269 / 302 ] simplifiying candidate # 1538416905.007 * * * * [misc]progress: [ 270 / 302 ] simplifiying candidate # 1538416905.007 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538416905.007 * * [misc]simplify: iters left: 6 (10 enodes) 1538416905.010 * * [misc]simplify: iters left: 5 (13 enodes) 1538416905.014 * * [misc]simplify: iters left: 4 (16 enodes) 1538416905.018 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538416905.018 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.018 * * * * [misc]progress: [ 271 / 302 ] simplifiying candidate # 1538416905.018 * * * * [misc]progress: [ 272 / 302 ] simplifiying candidate # 1538416905.018 * * * * [misc]progress: [ 273 / 302 ] simplifiying candidate # 1538416905.019 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538416905.019 * * [misc]simplify: iters left: 6 (12 enodes) 1538416905.023 * * [misc]simplify: iters left: 5 (21 enodes) 1538416905.031 * * [misc]simplify: iters left: 4 (67 enodes) 1538416905.079 * * [misc]simplify: iters left: 3 (321 enodes) 1538416905.429 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538416905.429 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.429 * * * * [misc]progress: [ 274 / 302 ] simplifiying candidate # 1538416905.429 * * * * [misc]progress: [ 275 / 302 ] simplifiying candidate # 1538416905.429 * * * * [misc]progress: [ 276 / 302 ] simplifiying candidate # 1538416905.429 * * * * [misc]progress: [ 277 / 302 ] simplifiying candidate # 1538416905.429 * * * * [misc]progress: [ 278 / 302 ] simplifiying candidate # 1538416905.429 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538416905.429 * * [misc]simplify: iters left: 6 (7 enodes) 1538416905.430 * * [misc]simplify: iters left: 5 (12 enodes) 1538416905.432 * * [misc]simplify: iters left: 4 (22 enodes) 1538416905.435 * * [misc]simplify: iters left: 3 (35 enodes) 1538416905.440 * * [misc]simplify: iters left: 2 (42 enodes) 1538416905.445 * * [misc]simplify: iters left: 1 (47 enodes) 1538416905.451 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538416905.451 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.451 * * * * [misc]progress: [ 279 / 302 ] simplifiying candidate # 1538416905.451 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538416905.451 * * [misc]simplify: iters left: 6 (7 enodes) 1538416905.452 * * [misc]simplify: iters left: 5 (12 enodes) 1538416905.454 * * [misc]simplify: iters left: 4 (22 enodes) 1538416905.458 * * [misc]simplify: iters left: 3 (35 enodes) 1538416905.462 * * [misc]simplify: iters left: 2 (42 enodes) 1538416905.467 * * [misc]simplify: iters left: 1 (47 enodes) 1538416905.473 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538416905.473 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.473 * * * * [misc]progress: [ 280 / 302 ] simplifiying candidate # 1538416905.473 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538416905.473 * * [misc]simplify: iters left: 6 (7 enodes) 1538416905.474 * * [misc]simplify: iters left: 5 (12 enodes) 1538416905.476 * * [misc]simplify: iters left: 4 (22 enodes) 1538416905.482 * * [misc]simplify: iters left: 3 (32 enodes) 1538416905.485 * * [misc]simplify: iters left: 2 (36 enodes) 1538416905.490 * * [misc]simplify: iters left: 1 (43 enodes) 1538416905.500 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538416905.500 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.500 * * * * [misc]progress: [ 281 / 302 ] simplifiying candidate # 1538416905.500 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538416905.500 * * [misc]simplify: iters left: 6 (7 enodes) 1538416905.502 * * [misc]simplify: iters left: 5 (12 enodes) 1538416905.506 * * [misc]simplify: iters left: 4 (22 enodes) 1538416905.513 * * [misc]simplify: iters left: 3 (32 enodes) 1538416905.521 * * [misc]simplify: iters left: 2 (36 enodes) 1538416905.530 * * [misc]simplify: iters left: 1 (43 enodes) 1538416905.539 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538416905.539 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.539 * * * * [misc]progress: [ 282 / 302 ] simplifiying candidate # 1538416905.539 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416905.539 * * [misc]simplify: iters left: 5 (6 enodes) 1538416905.540 * * [misc]simplify: iters left: 4 (8 enodes) 1538416905.541 * * [misc]simplify: iters left: 3 (11 enodes) 1538416905.543 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416905.543 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.543 * * * * [misc]progress: [ 283 / 302 ] simplifiying candidate # 1538416905.543 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416905.543 * * [misc]simplify: iters left: 5 (6 enodes) 1538416905.544 * * [misc]simplify: iters left: 4 (8 enodes) 1538416905.546 * * [misc]simplify: iters left: 3 (11 enodes) 1538416905.547 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416905.547 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.547 * * * * [misc]progress: [ 284 / 302 ] simplifiying candidate # 1538416905.547 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416905.547 * * [misc]simplify: iters left: 4 (5 enodes) 1538416905.548 * * [misc]simplify: iters left: 3 (7 enodes) 1538416905.549 * * [misc]simplify: iters left: 2 (10 enodes) 1538416905.550 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416905.551 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.551 * * * * [misc]progress: [ 285 / 302 ] simplifiying candidate # 1538416905.551 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538416905.551 * * [misc]simplify: iters left: 4 (4 enodes) 1538416905.551 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538416905.551 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.551 * * * * [misc]progress: [ 286 / 302 ] simplifiying candidate # 1538416905.552 * [enter]simplify: Simplifying (sqrt (log PI)) 1538416905.552 * * [misc]simplify: iters left: 2 (3 enodes) 1538416905.552 * [exit]simplify: Simplified to (sqrt (log PI)) 1538416905.552 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.552 * * * * [misc]progress: [ 287 / 302 ] simplifiying candidate # 1538416905.552 * * * * [misc]progress: [ 288 / 302 ] simplifiying candidate # 1538416905.552 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538416905.552 * * [misc]simplify: iters left: 6 (9 enodes) 1538416905.555 * * [misc]simplify: iters left: 5 (23 enodes) 1538416905.558 * * [misc]simplify: iters left: 4 (47 enodes) 1538416905.566 * * [misc]simplify: iters left: 3 (69 enodes) 1538416905.576 * * [misc]simplify: iters left: 2 (82 enodes) 1538416905.586 * * [misc]simplify: iters left: 1 (105 enodes) 1538416905.603 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1538416905.603 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.603 * * * * [misc]progress: [ 289 / 302 ] simplifiying candidate # 1538416905.603 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538416905.603 * * [misc]simplify: iters left: 4 (5 enodes) 1538416905.604 * * [misc]simplify: iters left: 3 (6 enodes) 1538416905.605 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538416905.605 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416905.605 * * * * [misc]progress: [ 290 / 302 ] simplifiying candidate # 1538416905.605 * * * * [misc]progress: [ 291 / 302 ] simplifiying candidate # 1538416905.605 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log PI) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))))) 1538416905.605 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416905.605 * * * * [misc]progress: [ 292 / 302 ] simplifiying candidate # 1538416905.605 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2))) (- (+ (* +nan.0 (/ (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))) (pow k 3)))))))) 1538416905.605 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416905.605 * * * * [misc]progress: [ 293 / 302 ] simplifiying candidate # 1538416905.605 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k))))) (- (+ (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (* +nan.0 (/ (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow PI (- 1/2 (* 1/2 k)))) (pow k 2)))))))) 1538416905.605 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416905.606 * * * * [misc]progress: [ 294 / 302 ] simplifiying candidate # 1538416905.606 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 1/2) k)) (- (+ (* +nan.0 (* (log 2) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2))))) (- (+ (* +nan.0 (* n (* (sqrt 1/2) k))) (- (+ (* +nan.0 (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log n))))) (- (* +nan.0 (* (sqrt 1/2) (pow k 2)))))))))))) 1538416905.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416905.606 * * * * [misc]progress: [ 295 / 302 ] simplifiying candidate # 1538416905.606 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k))) (- (* +nan.0 (/ 1 (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))))))) 1538416905.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416905.606 * * * * [misc]progress: [ 296 / 302 ] simplifiying candidate # 1538416905.606 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) k))) (- (+ (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))))) (- (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))))))) 1538416905.606 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416905.606 * * * * [misc]progress: [ 297 / 302 ] simplifiying candidate # 1538416905.606 * [enter]simplify: Simplifying (- (+ (exp (* 1/2 (+ (log 2) (log n)))) (+ (* 1/8 (* (pow (log 2) 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (pow k 2)))) (+ (* 1/4 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) (pow k 2))))) (* 1/8 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (pow (log n) 2) (pow k 2))))))) (+ (* 1/2 (* (exp (* 1/2 (+ (log 2) (log n)))) (* (log n) k))) (* 1/2 (* (log 2) (* (exp (* 1/2 (+ (log 2) (log n)))) k))))) 1538416905.606 * * [misc]simplify: iters left: 6 (35 enodes) 1538416905.616 * * [misc]simplify: iters left: 5 (99 enodes) 1538416905.637 * * [misc]simplify: iters left: 4 (298 enodes) 1538416905.760 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1538416905.760 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n)))))))))) 1538416905.760 * * * * [misc]progress: [ 298 / 302 ] simplifiying candidate # 1538416905.760 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1538416905.760 * * [misc]simplify: iters left: 6 (13 enodes) 1538416905.763 * * [misc]simplify: iters left: 5 (27 enodes) 1538416905.768 * * [misc]simplify: iters left: 4 (53 enodes) 1538416905.777 * * [misc]simplify: iters left: 3 (116 enodes) 1538416905.819 * * [misc]simplify: iters left: 2 (362 enodes) 1538416906.035 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1538416906.035 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k))))) 1538416906.035 * * * * [misc]progress: [ 299 / 302 ] simplifiying candidate # 1538416906.036 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1538416906.036 * * [misc]simplify: iters left: 6 (13 enodes) 1538416906.041 * * [misc]simplify: iters left: 5 (24 enodes) 1538416906.050 * * [misc]simplify: iters left: 4 (54 enodes) 1538416906.071 * * [misc]simplify: iters left: 3 (143 enodes) 1538416906.130 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1538416906.130 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n))))))) 1538416906.130 * * * * [misc]progress: [ 300 / 302 ] simplifiying candidate # 1538416906.130 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416906.130 * * [misc]simplify: iters left: 6 (8 enodes) 1538416906.132 * * [misc]simplify: iters left: 5 (16 enodes) 1538416906.135 * * [misc]simplify: iters left: 4 (36 enodes) 1538416906.141 * * [misc]simplify: iters left: 3 (60 enodes) 1538416906.155 * * [misc]simplify: iters left: 2 (72 enodes) 1538416906.176 * * [misc]simplify: iters left: 1 (87 enodes) 1538416906.204 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416906.204 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416906.204 * * * * [misc]progress: [ 301 / 302 ] simplifiying candidate # 1538416906.204 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416906.204 * * [misc]simplify: iters left: 6 (8 enodes) 1538416906.206 * * [misc]simplify: iters left: 5 (16 enodes) 1538416906.209 * * [misc]simplify: iters left: 4 (36 enodes) 1538416906.215 * * [misc]simplify: iters left: 3 (60 enodes) 1538416906.224 * * [misc]simplify: iters left: 2 (72 enodes) 1538416906.237 * * [misc]simplify: iters left: 1 (87 enodes) 1538416906.260 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416906.260 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416906.260 * * * * [misc]progress: [ 302 / 302 ] simplifiying candidate # 1538416906.260 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416906.260 * * [misc]simplify: iters left: 6 (8 enodes) 1538416906.262 * * [misc]simplify: iters left: 5 (16 enodes) 1538416906.265 * * [misc]simplify: iters left: 4 (36 enodes) 1538416906.273 * * [misc]simplify: iters left: 3 (60 enodes) 1538416906.290 * * [misc]simplify: iters left: 2 (72 enodes) 1538416906.307 * * [misc]simplify: iters left: 1 (87 enodes) 1538416906.324 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416906.324 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1538416906.324 * * * [misc]progress: adding candidates to table 1538416911.047 * * [misc]progress: iteration 4 / 4 1538416911.047 * * * [misc]progress: picking best candidate 1538416911.084 * * * * [misc]pick: Picked # 1538416911.084 * * * [misc]progress: localizing error 1538416911.135 * * * [misc]progress: generating rewritten candidates 1538416911.135 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1538416911.140 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1538416911.159 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1538416911.218 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1) 1538416911.237 * * * [misc]progress: generating series expansions 1538416911.238 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1538416911.238 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 n))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) 1538416911.238 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in (n) around 0 1538416911.238 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538416911.238 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538416911.238 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.238 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.238 * [misc]backup-simplify: Simplify 2 into 2 1538416911.238 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.239 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.239 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.239 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416911.239 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416911.239 * [misc]taylor: Taking taylor expansion of n in n 1538416911.239 * [misc]backup-simplify: Simplify 0 into 0 1538416911.239 * [misc]backup-simplify: Simplify 1 into 1 1538416911.239 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.240 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.240 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416911.240 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 n))) in n 1538416911.240 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538416911.240 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.240 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.240 * [misc]backup-simplify: Simplify 2 into 2 1538416911.241 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.241 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.241 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.241 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1538416911.241 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1538416911.241 * [misc]taylor: Taking taylor expansion of n in n 1538416911.241 * [misc]backup-simplify: Simplify 0 into 0 1538416911.241 * [misc]backup-simplify: Simplify 1 into 1 1538416911.241 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.242 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.242 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416911.242 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538416911.242 * [misc]backup-simplify: Simplify 0 into 0 1538416911.243 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538416911.244 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.244 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.245 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416911.246 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416911.247 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.247 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538416911.248 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.249 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416911.251 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.252 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538416911.253 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.253 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.256 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow n 2)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) n) (- (* +nan.0 (/ 1 (sqrt 2)))))) into (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538416911.256 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 n)))) into (* (/ 1 (sqrt 2)) (sqrt n)) 1538416911.256 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in (n) around 0 1538416911.256 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538416911.256 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538416911.256 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.256 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.256 * [misc]backup-simplify: Simplify 2 into 2 1538416911.256 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.256 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.257 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.257 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538416911.257 * [misc]taylor: Taking taylor expansion of n in n 1538416911.257 * [misc]backup-simplify: Simplify 0 into 0 1538416911.257 * [misc]backup-simplify: Simplify 1 into 1 1538416911.257 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.257 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416911.257 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt n)) in n 1538416911.258 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1538416911.258 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.258 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.258 * [misc]backup-simplify: Simplify 2 into 2 1538416911.258 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.258 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.258 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.258 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1538416911.258 * [misc]taylor: Taking taylor expansion of n in n 1538416911.258 * [misc]backup-simplify: Simplify 0 into 0 1538416911.258 * [misc]backup-simplify: Simplify 1 into 1 1538416911.259 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.259 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1538416911.259 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1538416911.259 * [misc]backup-simplify: Simplify 0 into 0 1538416911.260 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1538416911.261 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.261 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.262 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416911.264 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.264 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538416911.265 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.266 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.267 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416911.267 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.268 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1538416911.269 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.270 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.272 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 3)) (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (pow (/ 1 n) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (/ 1 n)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538416911.272 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* 2 (/ 1 (- n))))) into (/ 1 (sqrt (/ -2 n))) 1538416911.272 * [misc]approximate: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in (n) around 0 1538416911.272 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538416911.272 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416911.272 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.272 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.272 * [misc]backup-simplify: Simplify -2 into -2 1538416911.272 * [misc]taylor: Taking taylor expansion of n in n 1538416911.272 * [misc]backup-simplify: Simplify 0 into 0 1538416911.272 * [misc]backup-simplify: Simplify 1 into 1 1538416911.272 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.272 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.272 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416911.273 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538416911.273 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1538416911.273 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416911.273 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.273 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.273 * [misc]backup-simplify: Simplify -2 into -2 1538416911.273 * [misc]taylor: Taking taylor expansion of n in n 1538416911.273 * [misc]backup-simplify: Simplify 0 into 0 1538416911.273 * [misc]backup-simplify: Simplify 1 into 1 1538416911.273 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.273 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.273 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416911.273 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1538416911.273 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.274 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416911.274 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416911.275 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 1538416911.275 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538416911.275 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.276 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1538416911.277 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 1538416911.277 * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) 1538416911.277 * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- n)) 2)) (+ (* (- +nan.0) (/ 1 (- n))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538416911.277 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1538416911.277 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) 1538416911.277 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in (n k) around 0 1538416911.277 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1538416911.277 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1538416911.277 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1538416911.277 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.277 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.277 * [misc]backup-simplify: Simplify 2 into 2 1538416911.278 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.278 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.278 * [misc]taylor: Taking taylor expansion of k in k 1538416911.278 * [misc]backup-simplify: Simplify 0 into 0 1538416911.278 * [misc]backup-simplify: Simplify 1 into 1 1538416911.278 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416911.278 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.278 * [misc]backup-simplify: Simplify 2 into 2 1538416911.278 * [misc]taylor: Taking taylor expansion of n in k 1538416911.278 * [misc]backup-simplify: Simplify n into n 1538416911.278 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416911.278 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416911.278 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416911.278 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.278 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538416911.278 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.279 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416911.279 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416911.279 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416911.279 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.280 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416911.280 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.280 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538416911.280 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.280 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538416911.280 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538416911.280 * [misc]taylor: Taking taylor expansion of k in k 1538416911.280 * [misc]backup-simplify: Simplify 0 into 0 1538416911.280 * [misc]backup-simplify: Simplify 1 into 1 1538416911.280 * [misc]taylor: Taking taylor expansion of n in k 1538416911.280 * [misc]backup-simplify: Simplify n into n 1538416911.280 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538416911.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.280 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538416911.280 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538416911.280 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.281 * [misc]backup-simplify: Simplify 2 into 2 1538416911.281 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.281 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.281 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.281 * [misc]taylor: Taking taylor expansion of k in n 1538416911.281 * [misc]backup-simplify: Simplify k into k 1538416911.281 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.281 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.281 * [misc]backup-simplify: Simplify 2 into 2 1538416911.281 * [misc]taylor: Taking taylor expansion of n in n 1538416911.281 * [misc]backup-simplify: Simplify 0 into 0 1538416911.281 * [misc]backup-simplify: Simplify 1 into 1 1538416911.281 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.281 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.282 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.282 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416911.282 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.282 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.282 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538416911.282 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538416911.283 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) 1538416911.283 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 1538416911.283 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538416911.283 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538416911.283 * [misc]taylor: Taking taylor expansion of k in n 1538416911.283 * [misc]backup-simplify: Simplify k into k 1538416911.283 * [misc]taylor: Taking taylor expansion of n in n 1538416911.283 * [misc]backup-simplify: Simplify 0 into 0 1538416911.283 * [misc]backup-simplify: Simplify 1 into 1 1538416911.283 * [misc]backup-simplify: Simplify (/ k 1) into k 1538416911.283 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.283 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538416911.283 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.284 * [misc]backup-simplify: Simplify 2 into 2 1538416911.284 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.284 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.284 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.284 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.284 * [misc]taylor: Taking taylor expansion of k in n 1538416911.284 * [misc]backup-simplify: Simplify k into k 1538416911.284 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.284 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.284 * [misc]backup-simplify: Simplify 2 into 2 1538416911.284 * [misc]taylor: Taking taylor expansion of n in n 1538416911.284 * [misc]backup-simplify: Simplify 0 into 0 1538416911.284 * [misc]backup-simplify: Simplify 1 into 1 1538416911.284 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.284 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.284 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.284 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416911.285 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.285 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.285 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538416911.285 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538416911.285 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) 1538416911.286 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 1538416911.286 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538416911.286 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538416911.286 * [misc]taylor: Taking taylor expansion of k in n 1538416911.286 * [misc]backup-simplify: Simplify k into k 1538416911.286 * [misc]taylor: Taking taylor expansion of n in n 1538416911.286 * [misc]backup-simplify: Simplify 0 into 0 1538416911.286 * [misc]backup-simplify: Simplify 1 into 1 1538416911.286 * [misc]backup-simplify: Simplify (/ k 1) into k 1538416911.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.286 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538416911.287 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) 0) into 0 1538416911.287 * [misc]taylor: Taking taylor expansion of 0 in k 1538416911.287 * [misc]backup-simplify: Simplify 0 into 0 1538416911.287 * [misc]backup-simplify: Simplify 0 into 0 1538416911.287 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.287 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.288 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.289 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1538416911.289 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.289 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.289 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416911.290 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.290 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))) into 0 1538416911.291 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538416911.291 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538416911.291 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538416911.291 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538416911.291 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.291 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.291 * [misc]taylor: Taking taylor expansion of (/ k (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538416911.291 * [misc]taylor: Taking taylor expansion of k in k 1538416911.291 * [misc]backup-simplify: Simplify 0 into 0 1538416911.291 * [misc]backup-simplify: Simplify 1 into 1 1538416911.291 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538416911.291 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.291 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.291 * [misc]backup-simplify: Simplify 2 into 2 1538416911.291 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.292 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.292 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.292 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.292 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.292 * [misc]backup-simplify: Simplify 2 into 2 1538416911.292 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.292 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.292 * [misc]taylor: Taking taylor expansion of n in k 1538416911.292 * [misc]backup-simplify: Simplify n into n 1538416911.292 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.292 * [misc]taylor: Taking taylor expansion of k in k 1538416911.292 * [misc]backup-simplify: Simplify 0 into 0 1538416911.292 * [misc]backup-simplify: Simplify 1 into 1 1538416911.292 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416911.292 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.292 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538416911.294 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.294 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416911.294 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.295 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538416911.295 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416911.295 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.295 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538416911.295 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.295 * [misc]backup-simplify: Simplify 0 into 0 1538416911.296 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)))) into 0 1538416911.296 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 k) 2) (+)) (* 2 0)) into (* +nan.0 (pow k 2)) 1538416911.296 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.296 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416911.299 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416911.299 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.299 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1538416911.299 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.299 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.300 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1538416911.304 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.305 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.306 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) into 0 1538416911.307 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538416911.308 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538416911.308 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538416911.308 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538416911.308 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.308 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.308 * [misc]taylor: Taking taylor expansion of (/ (pow k 2) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538416911.308 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538416911.308 * [misc]taylor: Taking taylor expansion of k in k 1538416911.309 * [misc]backup-simplify: Simplify 0 into 0 1538416911.309 * [misc]backup-simplify: Simplify 1 into 1 1538416911.309 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.309 * [misc]backup-simplify: Simplify 2 into 2 1538416911.309 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.309 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.309 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.309 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.309 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.309 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.309 * [misc]backup-simplify: Simplify 2 into 2 1538416911.309 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.310 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.310 * [misc]taylor: Taking taylor expansion of n in k 1538416911.310 * [misc]backup-simplify: Simplify n into n 1538416911.310 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.310 * [misc]taylor: Taking taylor expansion of k in k 1538416911.310 * [misc]backup-simplify: Simplify 0 into 0 1538416911.310 * [misc]backup-simplify: Simplify 1 into 1 1538416911.310 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416911.310 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.310 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538416911.313 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.314 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416911.314 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.314 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538416911.315 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416911.315 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.315 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.315 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538416911.315 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.316 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538416911.316 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.317 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.317 * [misc]backup-simplify: Simplify 0 into 0 1538416911.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.318 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 2)))))) (* 2 0)) into (* +nan.0 (pow k 3)) 1538416911.318 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.319 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538416911.326 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538416911.326 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.326 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.327 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1538416911.327 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.327 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.328 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n)))))) into 0 1538416911.331 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416911.332 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.332 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) into 0 1538416911.334 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538416911.335 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538416911.335 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538416911.335 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538416911.335 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.335 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.335 * [misc]taylor: Taking taylor expansion of (/ (pow k 3) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538416911.335 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of k in k 1538416911.336 * [misc]backup-simplify: Simplify 0 into 0 1538416911.336 * [misc]backup-simplify: Simplify 1 into 1 1538416911.336 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.336 * [misc]backup-simplify: Simplify 2 into 2 1538416911.336 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.336 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.336 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.336 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.336 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.336 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.336 * [misc]backup-simplify: Simplify 2 into 2 1538416911.337 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.337 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.337 * [misc]taylor: Taking taylor expansion of n in k 1538416911.337 * [misc]backup-simplify: Simplify n into n 1538416911.337 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.337 * [misc]taylor: Taking taylor expansion of k in k 1538416911.337 * [misc]backup-simplify: Simplify 0 into 0 1538416911.337 * [misc]backup-simplify: Simplify 1 into 1 1538416911.337 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416911.338 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.338 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538416911.340 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.341 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416911.341 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.341 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538416911.342 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416911.342 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.342 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.342 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.343 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538416911.343 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.344 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1) 1)))) into (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416911.344 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1 (+ (* 1/2 (log 2)) (* 1/2 (log n))))) (* 0 1)) into (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) 1538416911.346 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ 1 (sqrt 2)) (/ (- (+ (* 1/2 (* (log 2) (sqrt 2))) (* 1/2 (* (sqrt 2) (log n))))) (sqrt 2))))) into (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2)))) 1538416911.347 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* 1/2 (/ (log 2) (sqrt 2))) (* 1/2 (/ (log n) (sqrt 2))))) (* 0 (/ 1 (sqrt 2)))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538416911.348 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2))))))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538416911.349 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1538416911.350 * [misc]backup-simplify: Simplify 0 into 0 1538416911.350 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* k (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.351 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow k 2)) 2) (+ (* 2 (* (* +nan.0 k) (* +nan.0 (pow k 3)))))) (* 2 0)) into (* +nan.0 (pow k 4)) 1538416911.351 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.351 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538416911.363 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 2 1)))) 24) into 0 1538416911.363 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.363 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.363 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.364 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 k))))) into 0 1538416911.364 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.364 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.365 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))))) into 0 1538416911.370 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (* (+ (log 2) (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 1538416911.372 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.373 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538416911.375 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))))) into 0 1538416911.376 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) (* +nan.0 (pow k 4))) (+ (* 0 (* +nan.0 (pow k 3))) (+ (* 0 (* +nan.0 (pow k 2))) (+ (* 0 (* +nan.0 k)) (* 0 0))))) into (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) 1538416911.376 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))))) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))))) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.376 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.376 * [misc]taylor: Taking taylor expansion of (/ (pow k 4) (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k))))) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of (pow k 4) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of k in k 1538416911.376 * [misc]backup-simplify: Simplify 0 into 0 1538416911.376 * [misc]backup-simplify: Simplify 1 into 1 1538416911.376 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (exp (* -1/2 (* (+ (log 2) (log n)) k)))) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.376 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.376 * [misc]backup-simplify: Simplify 2 into 2 1538416911.376 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.377 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.377 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (* (+ (log 2) (log n)) k))) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of (* -1/2 (* (+ (log 2) (log n)) k)) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.377 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.377 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) k) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.377 * [misc]backup-simplify: Simplify 2 into 2 1538416911.377 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.377 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.377 * [misc]taylor: Taking taylor expansion of n in k 1538416911.377 * [misc]backup-simplify: Simplify n into n 1538416911.377 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.377 * [misc]taylor: Taking taylor expansion of k in k 1538416911.377 * [misc]backup-simplify: Simplify 0 into 0 1538416911.377 * [misc]backup-simplify: Simplify 1 into 1 1538416911.377 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1538416911.378 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.378 * [misc]backup-simplify: Simplify (* -1/2 0) into 0 1538416911.380 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.381 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1538416911.381 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.382 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538416911.382 * [misc]backup-simplify: Simplify (+ (* -1/2 (+ (log 2) (log n))) (* 0 0)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1538416911.382 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.382 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.382 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.383 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1538416911.383 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1538416911.384 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1538416911.384 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.385 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1538416911.388 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (pow k 2) n)) (+ (* (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) (pow (* k 1) 2)) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* k 1)))) into (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538416911.389 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) 1538416911.389 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in (n k) around 0 1538416911.389 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.389 * [misc]backup-simplify: Simplify 2 into 2 1538416911.389 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.389 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.389 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416911.389 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538416911.390 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.390 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.390 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.390 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.390 * [misc]taylor: Taking taylor expansion of k in k 1538416911.390 * [misc]backup-simplify: Simplify 0 into 0 1538416911.390 * [misc]backup-simplify: Simplify 1 into 1 1538416911.390 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.390 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416911.390 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416911.390 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.390 * [misc]backup-simplify: Simplify 2 into 2 1538416911.390 * [misc]taylor: Taking taylor expansion of n in k 1538416911.390 * [misc]backup-simplify: Simplify n into n 1538416911.390 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416911.390 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416911.390 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.390 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.391 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416911.391 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538416911.391 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1538416911.391 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) into (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) 1538416911.391 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538416911.391 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538416911.392 * [misc]taylor: Taking taylor expansion of n in k 1538416911.392 * [misc]backup-simplify: Simplify n into n 1538416911.392 * [misc]taylor: Taking taylor expansion of k in k 1538416911.392 * [misc]backup-simplify: Simplify 0 into 0 1538416911.392 * [misc]backup-simplify: Simplify 1 into 1 1538416911.392 * [misc]backup-simplify: Simplify (/ n 1) into n 1538416911.392 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.392 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538416911.392 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538416911.392 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538416911.392 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538416911.392 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.392 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.392 * [misc]backup-simplify: Simplify 2 into 2 1538416911.392 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.393 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.393 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.393 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.393 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of k in n 1538416911.393 * [misc]backup-simplify: Simplify k into k 1538416911.393 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.393 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.393 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.393 * [misc]backup-simplify: Simplify 2 into 2 1538416911.393 * [misc]taylor: Taking taylor expansion of n in n 1538416911.393 * [misc]backup-simplify: Simplify 0 into 0 1538416911.393 * [misc]backup-simplify: Simplify 1 into 1 1538416911.393 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.394 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.394 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.394 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.394 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.394 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.395 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.395 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538416911.396 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.396 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of n in n 1538416911.396 * [misc]backup-simplify: Simplify 0 into 0 1538416911.396 * [misc]backup-simplify: Simplify 1 into 1 1538416911.396 * [misc]taylor: Taking taylor expansion of k in n 1538416911.396 * [misc]backup-simplify: Simplify k into k 1538416911.396 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.396 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.396 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538416911.396 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.396 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.396 * [misc]backup-simplify: Simplify 2 into 2 1538416911.397 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.397 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.397 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.397 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.397 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of k in n 1538416911.397 * [misc]backup-simplify: Simplify k into k 1538416911.397 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.397 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.397 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.397 * [misc]backup-simplify: Simplify 2 into 2 1538416911.397 * [misc]taylor: Taking taylor expansion of n in n 1538416911.397 * [misc]backup-simplify: Simplify 0 into 0 1538416911.397 * [misc]backup-simplify: Simplify 1 into 1 1538416911.398 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.398 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.398 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.398 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.398 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.399 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.399 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.399 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538416911.400 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.400 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538416911.400 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538416911.400 * [misc]taylor: Taking taylor expansion of n in n 1538416911.400 * [misc]backup-simplify: Simplify 0 into 0 1538416911.400 * [misc]backup-simplify: Simplify 1 into 1 1538416911.400 * [misc]taylor: Taking taylor expansion of k in n 1538416911.400 * [misc]backup-simplify: Simplify k into k 1538416911.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.400 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.400 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538416911.401 * [misc]backup-simplify: Simplify (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 0) into 0 1538416911.401 * [misc]taylor: Taking taylor expansion of 0 in k 1538416911.401 * [misc]backup-simplify: Simplify 0 into 0 1538416911.401 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.401 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416911.404 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.404 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.404 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.405 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.405 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.405 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1538416911.407 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.407 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538416911.408 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.409 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 k)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) 1538416911.409 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))))) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)))) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.409 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.409 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k))) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k)) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.409 * [misc]backup-simplify: Simplify 2 into 2 1538416911.409 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.409 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.409 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) k) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538416911.409 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538416911.410 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.410 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.410 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538416911.410 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538416911.410 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.410 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.410 * [misc]backup-simplify: Simplify 2 into 2 1538416911.410 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.410 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.410 * [misc]taylor: Taking taylor expansion of n in k 1538416911.410 * [misc]backup-simplify: Simplify n into n 1538416911.410 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.410 * [misc]taylor: Taking taylor expansion of k in k 1538416911.410 * [misc]backup-simplify: Simplify 0 into 0 1538416911.410 * [misc]backup-simplify: Simplify 1 into 1 1538416911.410 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416911.410 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538416911.411 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538416911.411 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538416911.411 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.411 * [misc]taylor: Taking taylor expansion of k in k 1538416911.411 * [misc]backup-simplify: Simplify 0 into 0 1538416911.411 * [misc]backup-simplify: Simplify 1 into 1 1538416911.411 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) into 0 1538416911.412 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.412 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) (* 0 0)) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.413 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538416911.413 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.414 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (/ +nan.0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.414 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538416911.415 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538416911.415 * [misc]backup-simplify: Simplify 0 into 0 1538416911.415 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.415 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 k) 2) (+)) (* 2 0)) into (/ +nan.0 (pow k 2)) 1538416911.416 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.416 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.420 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416911.420 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.421 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.421 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416911.421 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.422 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.422 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1538416911.424 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.425 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.426 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538416911.427 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.428 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) 1538416911.428 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))))) in k 1538416911.428 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))))) in k 1538416911.428 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.428 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.428 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)))) in k 1538416911.428 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2))) in k 1538416911.428 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.429 * [misc]backup-simplify: Simplify 2 into 2 1538416911.429 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.429 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.429 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 2)) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.429 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.429 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.429 * [misc]backup-simplify: Simplify 2 into 2 1538416911.429 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.429 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.429 * [misc]taylor: Taking taylor expansion of n in k 1538416911.430 * [misc]backup-simplify: Simplify n into n 1538416911.430 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.430 * [misc]taylor: Taking taylor expansion of k in k 1538416911.430 * [misc]backup-simplify: Simplify 0 into 0 1538416911.430 * [misc]backup-simplify: Simplify 1 into 1 1538416911.430 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416911.430 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538416911.430 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538416911.430 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538416911.431 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.431 * [misc]taylor: Taking taylor expansion of (pow k 2) in k 1538416911.431 * [misc]taylor: Taking taylor expansion of k in k 1538416911.431 * [misc]backup-simplify: Simplify 0 into 0 1538416911.431 * [misc]backup-simplify: Simplify 1 into 1 1538416911.431 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.431 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.432 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538416911.432 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.432 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.433 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538416911.433 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538416911.434 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.435 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538416911.435 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.435 * [misc]backup-simplify: Simplify 0 into 0 1538416911.436 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.437 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.438 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))) (* 0 0))) into 0 1538416911.439 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.440 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538416911.440 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.440 * [misc]backup-simplify: Simplify 0 into 0 1538416911.440 * [misc]backup-simplify: Simplify 0 into 0 1538416911.440 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.441 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 k) (/ +nan.0 (pow k 2)))))) (* 2 0)) into (/ +nan.0 (pow k 3)) 1538416911.441 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.441 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.448 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 1538416911.448 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.449 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.449 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.449 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1538416911.449 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.450 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.450 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1538416911.454 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1538416911.454 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.455 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538416911.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.458 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ +nan.0 (pow k 3))) (+ (* 0 (/ +nan.0 (pow k 2))) (+ (* 0 (/ +nan.0 k)) (* 0 0)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) 1538416911.458 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))))) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))))) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.458 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.458 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)))) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3))) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.458 * [misc]backup-simplify: Simplify 2 into 2 1538416911.458 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.458 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.458 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow k 3)) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (- (log 2) (log n)) k))) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (- (log 2) (log n)) k)) in k 1538416911.458 * [misc]taylor: Taking taylor expansion of -1/2 in k 1538416911.459 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.459 * [misc]taylor: Taking taylor expansion of (/ (- (log 2) (log n)) k) in k 1538416911.459 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1538416911.459 * [misc]taylor: Taking taylor expansion of (log 2) in k 1538416911.459 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.459 * [misc]backup-simplify: Simplify 2 into 2 1538416911.459 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.459 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.459 * [misc]taylor: Taking taylor expansion of n in k 1538416911.459 * [misc]backup-simplify: Simplify n into n 1538416911.459 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.459 * [misc]taylor: Taking taylor expansion of k in k 1538416911.459 * [misc]backup-simplify: Simplify 0 into 0 1538416911.459 * [misc]backup-simplify: Simplify 1 into 1 1538416911.459 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416911.459 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1538416911.460 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) 1) into (- (log 2) (log n)) 1538416911.460 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1538416911.461 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.461 * [misc]taylor: Taking taylor expansion of (pow k 3) in k 1538416911.461 * [misc]taylor: Taking taylor expansion of k in k 1538416911.461 * [misc]backup-simplify: Simplify 0 into 0 1538416911.461 * [misc]backup-simplify: Simplify 1 into 1 1538416911.462 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.462 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.462 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.462 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1538416911.463 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.463 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.464 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.464 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.464 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.465 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.465 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 1)) into 0 1538416911.466 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.467 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538416911.468 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k))))) into 0 1538416911.469 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.470 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.471 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.471 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.471 * [misc]backup-simplify: Simplify 0 into 0 1538416911.471 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.472 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.473 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.474 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into 0 1538416911.475 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) (* 0 (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.476 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.476 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.476 * [misc]backup-simplify: Simplify 0 into 0 1538416911.477 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 (/ 1 k)) (/ 1 n))) into (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538416911.477 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) 1538416911.477 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in (n k) around 0 1538416911.477 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1538416911.478 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416911.478 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416911.478 * [misc]taylor: Taking taylor expansion of -1 in k 1538416911.478 * [misc]backup-simplify: Simplify -1 into -1 1538416911.478 * [misc]taylor: Taking taylor expansion of k in k 1538416911.478 * [misc]backup-simplify: Simplify 0 into 0 1538416911.478 * [misc]backup-simplify: Simplify 1 into 1 1538416911.478 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416911.478 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.479 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416911.479 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of -2 in k 1538416911.479 * [misc]backup-simplify: Simplify -2 into -2 1538416911.479 * [misc]taylor: Taking taylor expansion of n in k 1538416911.479 * [misc]backup-simplify: Simplify n into n 1538416911.479 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416911.479 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538416911.479 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538416911.479 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538416911.479 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.479 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.479 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.479 * [misc]taylor: Taking taylor expansion of k in k 1538416911.480 * [misc]backup-simplify: Simplify 0 into 0 1538416911.480 * [misc]backup-simplify: Simplify 1 into 1 1538416911.480 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.480 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416911.480 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416911.480 * [misc]taylor: Taking taylor expansion of -2 in k 1538416911.480 * [misc]backup-simplify: Simplify -2 into -2 1538416911.480 * [misc]taylor: Taking taylor expansion of n in k 1538416911.480 * [misc]backup-simplify: Simplify n into n 1538416911.480 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416911.480 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416911.480 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.480 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416911.480 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538416911.481 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) into (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) 1538416911.481 * [misc]backup-simplify: Simplify (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) into (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) 1538416911.481 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538416911.481 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416911.481 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416911.481 * [misc]taylor: Taking taylor expansion of -1 in n 1538416911.481 * [misc]backup-simplify: Simplify -1 into -1 1538416911.481 * [misc]taylor: Taking taylor expansion of k in n 1538416911.481 * [misc]backup-simplify: Simplify k into k 1538416911.481 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416911.481 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416911.481 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416911.482 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416911.482 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538416911.482 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416911.482 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.482 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.482 * [misc]backup-simplify: Simplify -2 into -2 1538416911.482 * [misc]taylor: Taking taylor expansion of n in n 1538416911.482 * [misc]backup-simplify: Simplify 0 into 0 1538416911.482 * [misc]backup-simplify: Simplify 1 into 1 1538416911.482 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.482 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.483 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416911.483 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.483 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.483 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of k in n 1538416911.483 * [misc]backup-simplify: Simplify k into k 1538416911.483 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.483 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.483 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.483 * [misc]backup-simplify: Simplify -2 into -2 1538416911.483 * [misc]taylor: Taking taylor expansion of n in n 1538416911.483 * [misc]backup-simplify: Simplify 0 into 0 1538416911.483 * [misc]backup-simplify: Simplify 1 into 1 1538416911.483 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.483 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416911.483 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.484 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416911.484 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538416911.484 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416911.485 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538416911.485 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416911.487 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416911.487 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.488 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.488 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416911.488 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538416911.490 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.491 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538416911.491 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538416911.491 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1538416911.491 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416911.491 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416911.491 * [misc]taylor: Taking taylor expansion of -1 in n 1538416911.491 * [misc]backup-simplify: Simplify -1 into -1 1538416911.491 * [misc]taylor: Taking taylor expansion of k in n 1538416911.491 * [misc]backup-simplify: Simplify k into k 1538416911.491 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416911.491 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416911.492 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416911.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416911.492 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1538416911.492 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416911.492 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.492 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.492 * [misc]backup-simplify: Simplify -2 into -2 1538416911.492 * [misc]taylor: Taking taylor expansion of n in n 1538416911.492 * [misc]backup-simplify: Simplify 0 into 0 1538416911.492 * [misc]backup-simplify: Simplify 1 into 1 1538416911.492 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.492 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.493 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416911.493 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.493 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.493 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of k in n 1538416911.493 * [misc]backup-simplify: Simplify k into k 1538416911.493 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.493 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416911.493 * [misc]taylor: Taking taylor expansion of -2 in n 1538416911.493 * [misc]backup-simplify: Simplify -2 into -2 1538416911.493 * [misc]taylor: Taking taylor expansion of n in n 1538416911.493 * [misc]backup-simplify: Simplify 0 into 0 1538416911.493 * [misc]backup-simplify: Simplify 1 into 1 1538416911.494 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416911.494 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416911.494 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.494 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416911.494 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538416911.495 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416911.495 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1538416911.495 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416911.498 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416911.498 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.498 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.499 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416911.499 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538416911.500 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.501 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538416911.501 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538416911.501 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538416911.501 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.501 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.501 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538416911.501 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416911.501 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416911.501 * [misc]taylor: Taking taylor expansion of -1 in k 1538416911.501 * [misc]backup-simplify: Simplify -1 into -1 1538416911.501 * [misc]taylor: Taking taylor expansion of k in k 1538416911.501 * [misc]backup-simplify: Simplify 0 into 0 1538416911.501 * [misc]backup-simplify: Simplify 1 into 1 1538416911.502 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416911.502 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.502 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416911.502 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538416911.502 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538416911.502 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.502 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.502 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538416911.502 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538416911.502 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538416911.502 * [misc]taylor: Taking taylor expansion of -2 in k 1538416911.503 * [misc]backup-simplify: Simplify -2 into -2 1538416911.503 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416911.503 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.503 * [misc]taylor: Taking taylor expansion of n in k 1538416911.503 * [misc]backup-simplify: Simplify n into n 1538416911.503 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.503 * [misc]taylor: Taking taylor expansion of k in k 1538416911.503 * [misc]backup-simplify: Simplify 0 into 0 1538416911.503 * [misc]backup-simplify: Simplify 1 into 1 1538416911.503 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416911.503 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538416911.503 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538416911.504 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538416911.504 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416911.504 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538416911.505 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538416911.505 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538416911.505 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.509 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538416911.510 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.510 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416911.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416911.511 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1538416911.513 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.513 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416911.514 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416911.515 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) 1538416911.516 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) (+ (* (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (/ (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))))) into (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.516 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) in k 1538416911.516 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k))))) in k 1538416911.516 * [misc]taylor: Taking taylor expansion of +nan.0 in k 1538416911.516 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.516 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (exp (* 1/2 (/ (- (log -2) (log n)) k)))) in k 1538416911.516 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416911.517 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416911.517 * [misc]taylor: Taking taylor expansion of -1 in k 1538416911.517 * [misc]backup-simplify: Simplify -1 into -1 1538416911.517 * [misc]taylor: Taking taylor expansion of k in k 1538416911.517 * [misc]backup-simplify: Simplify 0 into 0 1538416911.517 * [misc]backup-simplify: Simplify 1 into 1 1538416911.517 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416911.517 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.517 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416911.517 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (- (log -2) (log n)) k))) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (- (log -2) (log n)) k)) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.518 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.518 * [misc]taylor: Taking taylor expansion of (/ (- (log -2) (log n)) k) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of (log -2) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of -2 in k 1538416911.518 * [misc]backup-simplify: Simplify -2 into -2 1538416911.518 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416911.518 * [misc]taylor: Taking taylor expansion of (log n) in k 1538416911.518 * [misc]taylor: Taking taylor expansion of n in k 1538416911.518 * [misc]backup-simplify: Simplify n into n 1538416911.518 * [misc]backup-simplify: Simplify (log n) into (log n) 1538416911.518 * [misc]taylor: Taking taylor expansion of k in k 1538416911.518 * [misc]backup-simplify: Simplify 0 into 0 1538416911.518 * [misc]backup-simplify: Simplify 1 into 1 1538416911.518 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1538416911.518 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1538416911.519 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) 1) into (- (log -2) (log n)) 1538416911.519 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1538416911.519 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416911.520 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538416911.520 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1538416911.521 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.521 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.521 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416911.522 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416911.523 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (+ (* (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) (/ 0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.524 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))) (* 0 (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.524 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1538416911.526 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- k)) 1)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- n)))) (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1538416911.526 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1538416911.527 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) into (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) 1538416911.527 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in (k n) around 0 1538416911.527 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in n 1538416911.527 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1538416911.527 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.527 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.527 * [misc]backup-simplify: Simplify 2 into 2 1538416911.527 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.527 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.527 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1538416911.527 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.528 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.528 * [misc]taylor: Taking taylor expansion of k in n 1538416911.528 * [misc]backup-simplify: Simplify k into k 1538416911.528 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.528 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.528 * [misc]backup-simplify: Simplify 2 into 2 1538416911.528 * [misc]taylor: Taking taylor expansion of n in n 1538416911.528 * [misc]backup-simplify: Simplify 0 into 0 1538416911.528 * [misc]backup-simplify: Simplify 1 into 1 1538416911.528 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.528 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.528 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.528 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416911.528 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.529 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.529 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1538416911.529 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1538416911.529 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.530 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.530 * [misc]taylor: Taking taylor expansion of k in n 1538416911.530 * [misc]backup-simplify: Simplify k into k 1538416911.530 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.530 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.530 * [misc]backup-simplify: Simplify PI into PI 1538416911.530 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.530 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1538416911.530 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1538416911.530 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1538416911.531 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538416911.531 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1538416911.531 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1538416911.531 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1538416911.531 * [misc]taylor: Taking taylor expansion of n in n 1538416911.531 * [misc]backup-simplify: Simplify 0 into 0 1538416911.531 * [misc]backup-simplify: Simplify 1 into 1 1538416911.531 * [misc]taylor: Taking taylor expansion of k in n 1538416911.531 * [misc]backup-simplify: Simplify k into k 1538416911.531 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.531 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.532 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1538416911.532 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.532 * [misc]backup-simplify: Simplify 2 into 2 1538416911.532 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.532 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.532 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416911.532 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.532 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.532 * [misc]taylor: Taking taylor expansion of k in k 1538416911.532 * [misc]backup-simplify: Simplify 0 into 0 1538416911.532 * [misc]backup-simplify: Simplify 1 into 1 1538416911.532 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416911.533 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416911.533 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.533 * [misc]backup-simplify: Simplify 2 into 2 1538416911.533 * [misc]taylor: Taking taylor expansion of n in k 1538416911.533 * [misc]backup-simplify: Simplify n into n 1538416911.533 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416911.533 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416911.533 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416911.533 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.533 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538416911.533 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.534 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416911.534 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416911.535 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416911.535 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.535 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416911.535 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.535 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.535 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.535 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.535 * [misc]taylor: Taking taylor expansion of k in k 1538416911.535 * [misc]backup-simplify: Simplify 0 into 0 1538416911.535 * [misc]backup-simplify: Simplify 1 into 1 1538416911.535 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416911.535 * [misc]taylor: Taking taylor expansion of PI in k 1538416911.535 * [misc]backup-simplify: Simplify PI into PI 1538416911.536 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.536 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416911.536 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.536 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416911.537 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416911.537 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416911.537 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538416911.537 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538416911.537 * [misc]taylor: Taking taylor expansion of n in k 1538416911.537 * [misc]backup-simplify: Simplify n into n 1538416911.537 * [misc]taylor: Taking taylor expansion of k in k 1538416911.538 * [misc]backup-simplify: Simplify 0 into 0 1538416911.538 * [misc]backup-simplify: Simplify 1 into 1 1538416911.538 * [misc]backup-simplify: Simplify (/ n 1) into n 1538416911.538 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.538 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538416911.538 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt (/ n k))) in k 1538416911.538 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1538416911.538 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.538 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.538 * [misc]backup-simplify: Simplify 2 into 2 1538416911.538 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.538 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.539 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.539 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.539 * [misc]taylor: Taking taylor expansion of k in k 1538416911.539 * [misc]backup-simplify: Simplify 0 into 0 1538416911.539 * [misc]backup-simplify: Simplify 1 into 1 1538416911.539 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1538416911.539 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.539 * [misc]backup-simplify: Simplify 2 into 2 1538416911.539 * [misc]taylor: Taking taylor expansion of n in k 1538416911.539 * [misc]backup-simplify: Simplify n into n 1538416911.539 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1538416911.539 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1538416911.539 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416911.539 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.540 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1538416911.540 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.540 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1538416911.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1538416911.541 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416911.541 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.541 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1538416911.541 * [misc]backup-simplify: Simplify (exp 0) into 1 1538416911.541 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1538416911.541 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1538416911.541 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416911.541 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416911.541 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.542 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416911.542 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.542 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.542 * [misc]taylor: Taking taylor expansion of k in k 1538416911.542 * [misc]backup-simplify: Simplify 0 into 0 1538416911.542 * [misc]backup-simplify: Simplify 1 into 1 1538416911.542 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416911.542 * [misc]taylor: Taking taylor expansion of PI in k 1538416911.542 * [misc]backup-simplify: Simplify PI into PI 1538416911.542 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.542 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416911.542 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.542 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416911.543 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416911.544 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1538416911.544 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1538416911.544 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1538416911.544 * [misc]taylor: Taking taylor expansion of n in k 1538416911.544 * [misc]backup-simplify: Simplify n into n 1538416911.544 * [misc]taylor: Taking taylor expansion of k in k 1538416911.544 * [misc]backup-simplify: Simplify 0 into 0 1538416911.544 * [misc]backup-simplify: Simplify 1 into 1 1538416911.544 * [misc]backup-simplify: Simplify (/ n 1) into n 1538416911.544 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.544 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1538416911.545 * [misc]backup-simplify: Simplify (* 1 (pow PI 1/2)) into (sqrt PI) 1538416911.546 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt PI)) into (* (sqrt 2) (sqrt PI)) 1538416911.547 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt PI)) 0) into 0 1538416911.547 * [misc]taylor: Taking taylor expansion of 0 in n 1538416911.547 * [misc]backup-simplify: Simplify 0 into 0 1538416911.547 * [misc]backup-simplify: Simplify 0 into 0 1538416911.550 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.550 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416911.550 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.550 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416911.551 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416911.554 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1538416911.554 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1538416911.556 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/2 (log (* 2 n))) (pow PI 1/2))) into (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI))))) 1538416911.559 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI))) into (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 1538416911.561 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 n)) (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) 0)) into (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) 1538416911.562 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) n) (sqrt PI))) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.562 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.562 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) n) (sqrt PI)) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.562 * [misc]backup-simplify: Simplify 2 into 2 1538416911.562 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.562 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.562 * [misc]taylor: Taking taylor expansion of n in n 1538416911.562 * [misc]backup-simplify: Simplify 0 into 0 1538416911.562 * [misc]backup-simplify: Simplify 1 into 1 1538416911.562 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.562 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.562 * [misc]backup-simplify: Simplify PI into PI 1538416911.563 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.563 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.564 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.564 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.564 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.565 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.565 * [misc]backup-simplify: Simplify 0 into 0 1538416911.565 * [misc]backup-simplify: Simplify 0 into 0 1538416911.565 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1538416911.566 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1538416911.570 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416911.570 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.571 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.571 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.572 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416911.576 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1538416911.576 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.577 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1538416911.578 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 n) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 n) 1)))) 2) into 0 1538416911.578 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.579 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.579 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.579 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1538416911.580 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (pow (log (* 2 n)) 2)) 1538416911.582 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/8 (pow (log (* 2 n)) 2)) (pow PI 1/2)))) into (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI)))))) 1538416911.583 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.585 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI)))) into (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 1538416911.590 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 2))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 n)) (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))))) 1538416911.590 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))))) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))))))) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.590 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.590 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 2)) (sqrt PI)) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.590 * [misc]backup-simplify: Simplify 2 into 2 1538416911.590 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.590 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.590 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of n in n 1538416911.590 * [misc]backup-simplify: Simplify 0 into 0 1538416911.590 * [misc]backup-simplify: Simplify 1 into 1 1538416911.590 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.590 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.590 * [misc]backup-simplify: Simplify PI into PI 1538416911.590 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.591 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.591 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))))) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))))) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.591 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.591 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) n)) (sqrt PI)) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) n)) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.591 * [misc]backup-simplify: Simplify 2 into 2 1538416911.591 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.591 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.591 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.591 * [misc]backup-simplify: Simplify PI into PI 1538416911.591 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.591 * [misc]taylor: Taking taylor expansion of n in n 1538416911.591 * [misc]backup-simplify: Simplify 0 into 0 1538416911.591 * [misc]backup-simplify: Simplify 1 into 1 1538416911.591 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.591 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.592 * [misc]backup-simplify: Simplify PI into PI 1538416911.592 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.592 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.592 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))) in n 1538416911.592 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))) in n 1538416911.592 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.592 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.592 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)) in n 1538416911.592 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) n)) in n 1538416911.592 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.592 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.592 * [misc]backup-simplify: Simplify 2 into 2 1538416911.592 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.593 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.593 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) n) in n 1538416911.593 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.593 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.593 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.593 * [misc]backup-simplify: Simplify 2 into 2 1538416911.593 * [misc]taylor: Taking taylor expansion of n in n 1538416911.593 * [misc]backup-simplify: Simplify 0 into 0 1538416911.593 * [misc]backup-simplify: Simplify 1 into 1 1538416911.593 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.593 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.593 * [misc]taylor: Taking taylor expansion of n in n 1538416911.593 * [misc]backup-simplify: Simplify 0 into 0 1538416911.593 * [misc]backup-simplify: Simplify 1 into 1 1538416911.593 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.593 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.593 * [misc]backup-simplify: Simplify PI into PI 1538416911.593 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.594 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.594 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538416911.594 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.594 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.595 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.595 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.595 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.595 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.595 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.595 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.596 * [misc]backup-simplify: Simplify 0 into 0 1538416911.596 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1538416911.597 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (sqrt 2) (sqrt PI))) into (* (sqrt 2) (sqrt PI)) 1538416911.598 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538416911.599 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (sqrt PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538416911.600 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1538416911.600 * [misc]backup-simplify: Simplify 0 into 0 1538416911.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.601 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1538416911.605 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416911.605 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416911.605 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.606 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416911.611 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 3) 6)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (pow (log PI) 3) (sqrt PI))) 1538416911.612 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.612 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1538416911.613 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 n) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 n) 1)))) 6) into 0 1538416911.614 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.614 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.614 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416911.614 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.614 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1538416911.615 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (pow (log (* 2 n)) 3)) 1538416911.619 * [misc]backup-simplify: Simplify (+ (* 1 (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* 1/8 (pow (log (* 2 n)) 2)) (* -1/2 (* (log PI) (sqrt PI)))) (* (* -1/48 (pow (log (* 2 n)) 3)) (pow PI 1/2))))) into (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI))))))) 1538416911.619 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.624 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI)))))))) (+ (* 0 (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI))))) into (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) 1538416911.632 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 3))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 (pow n 2))) (+ (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (* +nan.0 n)) (* (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) 0)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))))) 1538416911.632 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))))) in n 1538416911.632 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))))))) in n 1538416911.632 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) in n 1538416911.632 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.632 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.632 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 3)) (sqrt PI)) in n 1538416911.633 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1538416911.633 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.633 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.633 * [misc]backup-simplify: Simplify 2 into 2 1538416911.633 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.633 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.633 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538416911.633 * [misc]taylor: Taking taylor expansion of n in n 1538416911.633 * [misc]backup-simplify: Simplify 0 into 0 1538416911.633 * [misc]backup-simplify: Simplify 1 into 1 1538416911.633 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.633 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.633 * [misc]backup-simplify: Simplify PI into PI 1538416911.633 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.634 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))))) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))))) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.634 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.634 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI)) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 2))) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.634 * [misc]backup-simplify: Simplify 2 into 2 1538416911.634 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.634 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.634 * [misc]backup-simplify: Simplify PI into PI 1538416911.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.634 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of n in n 1538416911.634 * [misc]backup-simplify: Simplify 0 into 0 1538416911.634 * [misc]backup-simplify: Simplify 1 into 1 1538416911.634 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.634 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.634 * [misc]backup-simplify: Simplify PI into PI 1538416911.635 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.635 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.635 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))))) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))))) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.635 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.635 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI)) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.635 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.635 * [misc]backup-simplify: Simplify 2 into 2 1538416911.635 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.635 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.635 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) n)) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.636 * [misc]backup-simplify: Simplify 2 into 2 1538416911.636 * [misc]taylor: Taking taylor expansion of n in n 1538416911.636 * [misc]backup-simplify: Simplify 0 into 0 1538416911.636 * [misc]backup-simplify: Simplify 1 into 1 1538416911.636 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.636 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.636 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.636 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.636 * [misc]backup-simplify: Simplify PI into PI 1538416911.636 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.636 * [misc]taylor: Taking taylor expansion of n in n 1538416911.636 * [misc]backup-simplify: Simplify 0 into 0 1538416911.636 * [misc]backup-simplify: Simplify 1 into 1 1538416911.636 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.636 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.636 * [misc]backup-simplify: Simplify PI into PI 1538416911.636 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.637 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.637 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))))) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))))) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.637 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.637 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI)) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) n)) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.637 * [misc]backup-simplify: Simplify 2 into 2 1538416911.637 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.637 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.637 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.637 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.637 * [misc]backup-simplify: Simplify PI into PI 1538416911.638 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.638 * [misc]taylor: Taking taylor expansion of n in n 1538416911.638 * [misc]backup-simplify: Simplify 0 into 0 1538416911.638 * [misc]backup-simplify: Simplify 1 into 1 1538416911.638 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.638 * [misc]backup-simplify: Simplify PI into PI 1538416911.638 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.638 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.638 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))))) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))))) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.638 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.638 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI)) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.638 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.638 * [misc]backup-simplify: Simplify 2 into 2 1538416911.639 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.639 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.639 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 2)) in n 1538416911.639 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.639 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.639 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.639 * [misc]backup-simplify: Simplify 2 into 2 1538416911.639 * [misc]taylor: Taking taylor expansion of n in n 1538416911.639 * [misc]backup-simplify: Simplify 0 into 0 1538416911.639 * [misc]backup-simplify: Simplify 1 into 1 1538416911.639 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.639 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.639 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.639 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.639 * [misc]taylor: Taking taylor expansion of n in n 1538416911.639 * [misc]backup-simplify: Simplify 0 into 0 1538416911.639 * [misc]backup-simplify: Simplify 1 into 1 1538416911.639 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.639 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.639 * [misc]backup-simplify: Simplify PI into PI 1538416911.640 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.640 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.640 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))) in n 1538416911.640 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))) in n 1538416911.640 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.641 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.641 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.641 * [misc]backup-simplify: Simplify 2 into 2 1538416911.641 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.641 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.641 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) n) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.641 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.641 * [misc]backup-simplify: Simplify 2 into 2 1538416911.641 * [misc]taylor: Taking taylor expansion of n in n 1538416911.641 * [misc]backup-simplify: Simplify 0 into 0 1538416911.641 * [misc]backup-simplify: Simplify 1 into 1 1538416911.641 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.642 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.642 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.642 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.642 * [misc]taylor: Taking taylor expansion of n in n 1538416911.642 * [misc]backup-simplify: Simplify 0 into 0 1538416911.642 * [misc]backup-simplify: Simplify 1 into 1 1538416911.642 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.642 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.642 * [misc]backup-simplify: Simplify PI into PI 1538416911.643 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.643 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.644 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.644 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538416911.644 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.645 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.645 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.645 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.646 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538416911.647 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538416911.647 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.647 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.648 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.648 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.648 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.649 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538416911.649 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538416911.649 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.650 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.650 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.650 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.650 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.651 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.652 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.652 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.652 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.652 * [misc]backup-simplify: Simplify 0 into 0 1538416911.655 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.656 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538416911.657 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (log PI)) (* 0 0)) into (* (sqrt 2) (log PI)) 1538416911.659 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (log PI)) (sqrt PI))) into (* (* (sqrt 2) (log PI)) (sqrt PI)) 1538416911.661 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) 1538416911.661 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.661 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.664 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.664 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1538416911.665 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (log 2) (log n))) (* 0 0)) into (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) 1538416911.666 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) (sqrt PI))) into (+ (* (* (sqrt 2) (log n)) (sqrt PI)) (* (* (log 2) (sqrt 2)) (sqrt PI))) 1538416911.668 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (sqrt 2) (log n)) (sqrt PI)) (* (* (log 2) (sqrt 2)) (sqrt PI)))) (* 0 0)) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))) 1538416911.670 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))) 1538416911.675 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))))))) 1538416911.679 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538416911.683 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))))))) 1538416911.688 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538416911.692 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) 1538416911.694 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1538416911.695 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.696 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.697 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (* 0 (sqrt PI)))) into 0 1538416911.699 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) (sqrt PI))) (* 0 0))) into 0 1538416911.699 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.699 * [misc]backup-simplify: Simplify 0 into 0 1538416911.699 * [misc]backup-simplify: Simplify 0 into 0 1538416911.700 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.701 * [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)) 1538416911.713 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416911.714 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538416911.714 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.715 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416911.728 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 4) 24)) (* (/ (pow (- (* 1/2 (log PI))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log PI))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (* (pow (log PI) 4) (sqrt PI))) 1538416911.728 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.729 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1538416911.733 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* 2 n) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* 2 n) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* 2 n) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* 2 n) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* 2 n) 1)))) 24) into 0 1538416911.733 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.734 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.734 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.734 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538416911.734 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.735 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 n))))))) into 0 1538416911.737 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 4) 24)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 2) 2) (/ (pow 0 1) 1)) (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/384 (pow (log (* 2 n)) 4)) 1538416911.741 * [misc]backup-simplify: Simplify (+ (* 1 (* 1/384 (* (pow (log PI) 4) (sqrt PI)))) (+ (* (* -1/2 (log (* 2 n))) (* -1/48 (* (pow (log PI) 3) (sqrt PI)))) (+ (* (* 1/8 (pow (log (* 2 n)) 2)) (* 1/8 (* (pow (log PI) 2) (sqrt PI)))) (+ (* (* -1/48 (pow (log (* 2 n)) 3)) (* -1/2 (* (log PI) (sqrt PI)))) (* (* 1/384 (pow (log (* 2 n)) 4)) (pow PI 1/2)))))) into (+ (* 1/96 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 3)))) (+ (* 1/96 (* (sqrt PI) (* (pow (log (* 2 n)) 3) (log PI)))) (+ (* 1/384 (* (pow (log PI) 4) (sqrt PI))) (+ (* 1/384 (* (pow (log (* 2 n)) 4) (sqrt PI))) (* 1/64 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (pow (log PI) 2)))))))) 1538416911.742 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.751 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* 1/96 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 3)))) (+ (* 1/96 (* (sqrt PI) (* (pow (log (* 2 n)) 3) (log PI)))) (+ (* 1/384 (* (pow (log PI) 4) (sqrt PI))) (+ (* 1/384 (* (pow (log (* 2 n)) 4) (sqrt PI))) (* 1/64 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))))))))) (+ (* 0 (- (+ (* 1/16 (* (sqrt PI) (* (pow (log (* 2 n)) 2) (log PI)))) (+ (* 1/48 (* (pow (log (* 2 n)) 3) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (log (* 2 n)) (pow (log PI) 2)))) (* 1/48 (* (pow (log PI) 3) (sqrt PI)))))))) (+ (* 0 (+ (* 1/8 (* (pow (log (* 2 n)) 2) (sqrt PI))) (+ (* 1/8 (* (pow (log PI) 2) (sqrt PI))) (* 1/4 (* (sqrt PI) (* (log (* 2 n)) (log PI))))))) (+ (* 0 (- (+ (* 1/2 (* (log PI) (sqrt PI))) (* 1/2 (* (log (* 2 n)) (sqrt PI)))))) (* 0 (sqrt PI)))))) into (+ (* 1/384 (* (* (sqrt 2) (pow (log (* 2 n)) 4)) (sqrt PI))) (+ (* 1/384 (* (* (sqrt 2) (pow (log PI) 4)) (sqrt PI))) (+ (* 1/64 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/96 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) (log PI))) (sqrt PI))) (* 1/96 (* (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 3))) (sqrt PI))))))) 1538416911.765 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (sqrt PI)) (* +nan.0 (pow n 4))) (+ (* (- (+ (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt PI))) (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt PI))))) (* +nan.0 (pow n 3))) (+ (* (+ (* 1/4 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt PI))) (+ (* 1/8 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt PI))) (* 1/8 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))) (* +nan.0 (pow n 2))) (+ (* (- (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 2))))) (+ (* 1/48 (* (* (sqrt 2) (pow (log PI) 3)) (sqrt PI))) (+ (* 1/16 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (log PI))))) (* 1/48 (* (* (sqrt 2) (pow (log (* 2 n)) 3)) (sqrt PI))))))) (* +nan.0 n)) (* (+ (* 1/384 (* (* (sqrt 2) (pow (log (* 2 n)) 4)) (sqrt PI))) (+ (* 1/384 (* (* (sqrt 2) (pow (log PI) 4)) (sqrt PI))) (+ (* 1/64 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow (log PI) 2))) (sqrt PI))) (+ (* 1/96 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) (log PI))) (sqrt PI))) (* 1/96 (* (* (sqrt 2) (* (log (* 2 n)) (pow (log PI) 3))) (sqrt PI))))))) 0))))) into (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))))) 1538416911.765 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))))) in n 1538416911.765 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))))))) in n 1538416911.765 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) in n 1538416911.765 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.765 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.765 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n)))) in n 1538416911.765 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.765 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.765 * [misc]backup-simplify: Simplify PI into PI 1538416911.766 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.766 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.766 * [misc]backup-simplify: Simplify 2 into 2 1538416911.766 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.766 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.766 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (* (log PI) n)) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.766 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.766 * [misc]backup-simplify: Simplify 2 into 2 1538416911.766 * [misc]taylor: Taking taylor expansion of n in n 1538416911.767 * [misc]backup-simplify: Simplify 0 into 0 1538416911.767 * [misc]backup-simplify: Simplify 1 into 1 1538416911.767 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.767 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.767 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.767 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.767 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1538416911.767 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.767 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.767 * [misc]backup-simplify: Simplify PI into PI 1538416911.767 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.767 * [misc]taylor: Taking taylor expansion of n in n 1538416911.767 * [misc]backup-simplify: Simplify 0 into 0 1538416911.767 * [misc]backup-simplify: Simplify 1 into 1 1538416911.768 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))))) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))))) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.768 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.768 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI)) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.768 * [misc]backup-simplify: Simplify 2 into 2 1538416911.768 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.768 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.768 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 3) n) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 3) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.768 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.768 * [misc]backup-simplify: Simplify 2 into 2 1538416911.768 * [misc]taylor: Taking taylor expansion of n in n 1538416911.769 * [misc]backup-simplify: Simplify 0 into 0 1538416911.769 * [misc]backup-simplify: Simplify 1 into 1 1538416911.769 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.769 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.769 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.769 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.769 * [misc]taylor: Taking taylor expansion of n in n 1538416911.770 * [misc]backup-simplify: Simplify 0 into 0 1538416911.770 * [misc]backup-simplify: Simplify 1 into 1 1538416911.770 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.770 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.770 * [misc]backup-simplify: Simplify PI into PI 1538416911.770 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.771 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.771 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))))) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))))) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.771 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.771 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 4)) (sqrt PI)) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.771 * [misc]backup-simplify: Simplify 2 into 2 1538416911.771 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.771 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.771 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1538416911.771 * [misc]taylor: Taking taylor expansion of n in n 1538416911.771 * [misc]backup-simplify: Simplify 0 into 0 1538416911.772 * [misc]backup-simplify: Simplify 1 into 1 1538416911.772 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.772 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.772 * [misc]backup-simplify: Simplify PI into PI 1538416911.772 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.773 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.773 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))))) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))))) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.773 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.773 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI)) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.773 * [misc]backup-simplify: Simplify 2 into 2 1538416911.773 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.773 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.773 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) (pow n 2))) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.773 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.773 * [misc]backup-simplify: Simplify 2 into 2 1538416911.774 * [misc]taylor: Taking taylor expansion of n in n 1538416911.774 * [misc]backup-simplify: Simplify 0 into 0 1538416911.774 * [misc]backup-simplify: Simplify 1 into 1 1538416911.774 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.774 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.774 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.774 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1538416911.774 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.774 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.774 * [misc]backup-simplify: Simplify PI into PI 1538416911.774 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.774 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.774 * [misc]taylor: Taking taylor expansion of n in n 1538416911.775 * [misc]backup-simplify: Simplify 0 into 0 1538416911.775 * [misc]backup-simplify: Simplify 1 into 1 1538416911.775 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.775 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.775 * [misc]backup-simplify: Simplify PI into PI 1538416911.775 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.776 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.776 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))))) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))))) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.776 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.776 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI)) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.776 * [misc]backup-simplify: Simplify 2 into 2 1538416911.776 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.776 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.776 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (pow n 2)) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.776 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.776 * [misc]backup-simplify: Simplify 2 into 2 1538416911.776 * [misc]taylor: Taking taylor expansion of n in n 1538416911.777 * [misc]backup-simplify: Simplify 0 into 0 1538416911.777 * [misc]backup-simplify: Simplify 1 into 1 1538416911.777 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.777 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.777 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.777 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.777 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.777 * [misc]taylor: Taking taylor expansion of n in n 1538416911.778 * [misc]backup-simplify: Simplify 0 into 0 1538416911.778 * [misc]backup-simplify: Simplify 1 into 1 1538416911.778 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.778 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.778 * [misc]backup-simplify: Simplify PI into PI 1538416911.778 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.779 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))))) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))))) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.779 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.779 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI)) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.779 * [misc]backup-simplify: Simplify 2 into 2 1538416911.779 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.779 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow n 2)) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538416911.779 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.780 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.780 * [misc]backup-simplify: Simplify PI into PI 1538416911.780 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.780 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.780 * [misc]taylor: Taking taylor expansion of n in n 1538416911.780 * [misc]backup-simplify: Simplify 0 into 0 1538416911.780 * [misc]backup-simplify: Simplify 1 into 1 1538416911.780 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.780 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.780 * [misc]backup-simplify: Simplify PI into PI 1538416911.780 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.781 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.781 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))))) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))))) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.781 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.781 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI)) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 3) n)) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.781 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.781 * [misc]backup-simplify: Simplify 2 into 2 1538416911.782 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.782 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.782 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 3) n) in n 1538416911.782 * [misc]taylor: Taking taylor expansion of (pow (log PI) 3) in n 1538416911.782 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.782 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.782 * [misc]backup-simplify: Simplify PI into PI 1538416911.782 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.782 * [misc]taylor: Taking taylor expansion of n in n 1538416911.782 * [misc]backup-simplify: Simplify 0 into 0 1538416911.782 * [misc]backup-simplify: Simplify 1 into 1 1538416911.782 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.782 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.782 * [misc]backup-simplify: Simplify PI into PI 1538416911.783 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.783 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.783 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))))) in n 1538416911.784 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))))) in n 1538416911.784 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) in n 1538416911.784 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.784 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.784 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n)))) in n 1538416911.784 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.784 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.784 * [misc]backup-simplify: Simplify PI into PI 1538416911.784 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.785 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))) in n 1538416911.785 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.785 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.785 * [misc]backup-simplify: Simplify 2 into 2 1538416911.785 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.785 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (pow (log PI) 2) n)) in n 1538416911.785 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.785 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.785 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.785 * [misc]backup-simplify: Simplify 2 into 2 1538416911.785 * [misc]taylor: Taking taylor expansion of n in n 1538416911.785 * [misc]backup-simplify: Simplify 0 into 0 1538416911.785 * [misc]backup-simplify: Simplify 1 into 1 1538416911.786 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.786 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.786 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.786 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1538416911.786 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1538416911.786 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.786 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.786 * [misc]backup-simplify: Simplify PI into PI 1538416911.786 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.786 * [misc]taylor: Taking taylor expansion of n in n 1538416911.787 * [misc]backup-simplify: Simplify 0 into 0 1538416911.787 * [misc]backup-simplify: Simplify 1 into 1 1538416911.787 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))))) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))))) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.787 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.787 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI)) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 3))) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.787 * [misc]backup-simplify: Simplify 2 into 2 1538416911.787 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.787 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.787 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 3)) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.787 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.787 * [misc]backup-simplify: Simplify PI into PI 1538416911.788 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.788 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538416911.788 * [misc]taylor: Taking taylor expansion of n in n 1538416911.788 * [misc]backup-simplify: Simplify 0 into 0 1538416911.788 * [misc]backup-simplify: Simplify 1 into 1 1538416911.788 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.788 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.788 * [misc]backup-simplify: Simplify PI into PI 1538416911.788 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.789 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.789 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))) in n 1538416911.789 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))) in n 1538416911.789 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.789 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.789 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)) in n 1538416911.789 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) in n 1538416911.789 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.789 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.789 * [misc]backup-simplify: Simplify 2 into 2 1538416911.789 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.790 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.790 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 3)) in n 1538416911.790 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1538416911.790 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1538416911.790 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.790 * [misc]backup-simplify: Simplify 2 into 2 1538416911.790 * [misc]taylor: Taking taylor expansion of n in n 1538416911.790 * [misc]backup-simplify: Simplify 0 into 0 1538416911.790 * [misc]backup-simplify: Simplify 1 into 1 1538416911.790 * [misc]backup-simplify: Simplify (* 2 0) into 0 1538416911.790 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1538416911.790 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.790 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538416911.790 * [misc]taylor: Taking taylor expansion of n in n 1538416911.790 * [misc]backup-simplify: Simplify 0 into 0 1538416911.790 * [misc]backup-simplify: Simplify 1 into 1 1538416911.790 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1538416911.791 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.791 * [misc]backup-simplify: Simplify PI into PI 1538416911.791 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1538416911.792 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1538416911.792 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.792 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.793 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538416911.793 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1538416911.793 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1538416911.794 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.794 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538416911.794 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.795 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.796 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1538416911.796 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (+ (log 2) (log n)) 2)) into (pow (+ (log 2) (log n)) 3) 1538416911.796 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 3) 0) into 0 1538416911.797 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.797 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.797 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.798 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538416911.799 * [misc]backup-simplify: Simplify (* (log PI) (pow (log PI) 2)) into (pow (log PI) 3) 1538416911.800 * [misc]backup-simplify: Simplify (* (pow (log PI) 3) 0) into 0 1538416911.800 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.800 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1538416911.801 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.801 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.802 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1538416911.802 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1538416911.803 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1538416911.803 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1538416911.803 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1538416911.803 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.804 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.805 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.806 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.806 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.806 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.806 * [misc]backup-simplify: Simplify 0 into 0 1538416911.806 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.809 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.810 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1538416911.810 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.813 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.813 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) (log PI)) (* 0 0)) into (+ (* (log 2) (log PI)) (* (log PI) (log n))) 1538416911.815 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (* (log 2) (log PI)) (* (log PI) (log n)))) (* 0 0)) into (+ (* (sqrt 2) (* (log PI) (log n))) (* (log 2) (* (sqrt 2) (log PI)))) 1538416911.817 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (sqrt 2) (* (log PI) (log n))) (* (log 2) (* (sqrt 2) (log PI)))) (sqrt PI))) into (+ (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI)) (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))) 1538416911.819 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI)) (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))) (* 0 0)) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))) 1538416911.822 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.823 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (log PI))) into 0 1538416911.824 * [misc]backup-simplify: Simplify (+ (* (pow (log PI) 2) 1) (* 0 0)) into (pow (log PI) 2) 1538416911.825 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (pow (log PI) 2)) (* 0 0)) into (* (sqrt 2) (pow (log PI) 2)) 1538416911.827 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) into (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)) 1538416911.830 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))) 1538416911.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.831 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1538416911.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.833 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1538416911.834 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (+ (log 2) (log n)))) into 0 1538416911.834 * [misc]backup-simplify: Simplify (+ (* (pow (+ (log 2) (log n)) 2) 1) (* 0 0)) into (+ (pow (log n) 2) (+ (* 2 (* (log 2) (log n))) (pow (log 2) 2))) 1538416911.835 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (pow (log n) 2) (+ (* 2 (* (log 2) (log n))) (pow (log 2) 2)))) (* 0 0)) into (+ (* (pow (log 2) 2) (sqrt 2)) (+ (* (sqrt 2) (pow (log n) 2)) (* 2 (* (log 2) (* (sqrt 2) (log n)))))) 1538416911.837 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (+ (* (pow (log 2) 2) (sqrt 2)) (+ (* (sqrt 2) (pow (log n) 2)) (* 2 (* (log 2) (* (sqrt 2) (log n)))))) (sqrt PI))) into (+ (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI)) (+ (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI)) (* 2 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))) 1538416911.841 * [misc]backup-simplify: Simplify (+ (* +nan.0 (+ (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI)) (+ (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI)) (* 2 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))) (* 0 0)) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538416911.844 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538416911.848 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538416911.852 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))) 1538416911.859 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)))))))))) 1538416911.867 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI)))))))))) 1538416911.876 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.883 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.889 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.896 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.902 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.908 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI))))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.915 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) into (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) 1538416911.925 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (* (pow (log 2) 2) (sqrt 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log n) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log PI))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (log n))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) (* (log PI) (log n))) (sqrt PI)))))))))))))) (* n (pow k 2))) (+ (* (- (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (log n)) (sqrt PI))) (- (* +nan.0 (* (* (log 2) (sqrt 2)) (sqrt PI)))))))) (* n k)) (* (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) (* n 1)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n k))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* n (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (pow (log PI) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log n) k))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))))))))))))))))))))) 1538416911.925 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 n)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2)))))) into (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) 1538416911.925 * [misc]approximate: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in (k n) around 0 1538416911.925 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in n 1538416911.925 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416911.925 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.925 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.926 * [misc]backup-simplify: Simplify 2 into 2 1538416911.926 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.926 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.926 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of k in n 1538416911.926 * [misc]backup-simplify: Simplify k into k 1538416911.926 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.926 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.926 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.926 * [misc]backup-simplify: Simplify 2 into 2 1538416911.926 * [misc]taylor: Taking taylor expansion of n in n 1538416911.926 * [misc]backup-simplify: Simplify 0 into 0 1538416911.926 * [misc]backup-simplify: Simplify 1 into 1 1538416911.926 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.926 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.926 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.926 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.927 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.927 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.927 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.927 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.927 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.927 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of k in n 1538416911.927 * [misc]backup-simplify: Simplify k into k 1538416911.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.927 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.927 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.927 * [misc]backup-simplify: Simplify PI into PI 1538416911.927 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.928 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.928 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.928 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416911.928 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416911.928 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.928 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1538416911.928 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1538416911.928 * [misc]taylor: Taking taylor expansion of k in n 1538416911.928 * [misc]backup-simplify: Simplify k into k 1538416911.928 * [misc]taylor: Taking taylor expansion of n in n 1538416911.928 * [misc]backup-simplify: Simplify 0 into 0 1538416911.928 * [misc]backup-simplify: Simplify 1 into 1 1538416911.928 * [misc]backup-simplify: Simplify (/ k 1) into k 1538416911.928 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.928 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1538416911.928 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.929 * [misc]backup-simplify: Simplify 2 into 2 1538416911.929 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.929 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.929 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.929 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.929 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of k in k 1538416911.929 * [misc]backup-simplify: Simplify 0 into 0 1538416911.929 * [misc]backup-simplify: Simplify 1 into 1 1538416911.929 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.929 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416911.929 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.929 * [misc]backup-simplify: Simplify 2 into 2 1538416911.929 * [misc]taylor: Taking taylor expansion of n in k 1538416911.929 * [misc]backup-simplify: Simplify n into n 1538416911.929 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416911.929 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416911.929 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.929 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.930 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416911.930 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538416911.930 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.930 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.930 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.930 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of k in k 1538416911.930 * [misc]backup-simplify: Simplify 0 into 0 1538416911.930 * [misc]backup-simplify: Simplify 1 into 1 1538416911.930 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.930 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416911.930 * [misc]taylor: Taking taylor expansion of PI in k 1538416911.930 * [misc]backup-simplify: Simplify PI into PI 1538416911.930 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.930 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.930 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.931 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416911.931 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416911.931 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.931 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538416911.931 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538416911.931 * [misc]taylor: Taking taylor expansion of k in k 1538416911.931 * [misc]backup-simplify: Simplify 0 into 0 1538416911.931 * [misc]backup-simplify: Simplify 1 into 1 1538416911.931 * [misc]taylor: Taking taylor expansion of n in k 1538416911.931 * [misc]backup-simplify: Simplify n into n 1538416911.931 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538416911.931 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.932 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538416911.932 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ k n))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.932 * [misc]backup-simplify: Simplify 2 into 2 1538416911.932 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.932 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.932 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of k in k 1538416911.932 * [misc]backup-simplify: Simplify 0 into 0 1538416911.932 * [misc]backup-simplify: Simplify 1 into 1 1538416911.932 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.932 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1538416911.932 * [misc]taylor: Taking taylor expansion of 2 in k 1538416911.932 * [misc]backup-simplify: Simplify 2 into 2 1538416911.932 * [misc]taylor: Taking taylor expansion of n in k 1538416911.932 * [misc]backup-simplify: Simplify n into n 1538416911.932 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1538416911.932 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1538416911.932 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.933 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.933 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1538416911.933 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1538416911.933 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.933 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416911.933 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.933 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of k in k 1538416911.933 * [misc]backup-simplify: Simplify 0 into 0 1538416911.933 * [misc]backup-simplify: Simplify 1 into 1 1538416911.933 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416911.933 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416911.933 * [misc]taylor: Taking taylor expansion of PI in k 1538416911.933 * [misc]backup-simplify: Simplify PI into PI 1538416911.933 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.933 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416911.933 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416911.934 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416911.934 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416911.934 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.934 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1538416911.934 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1538416911.934 * [misc]taylor: Taking taylor expansion of k in k 1538416911.934 * [misc]backup-simplify: Simplify 0 into 0 1538416911.934 * [misc]backup-simplify: Simplify 1 into 1 1538416911.934 * [misc]taylor: Taking taylor expansion of n in k 1538416911.934 * [misc]backup-simplify: Simplify n into n 1538416911.934 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1538416911.934 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416911.935 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1538416911.935 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538416911.935 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538416911.935 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1538416911.935 * [misc]taylor: Taking taylor expansion of 0 in n 1538416911.935 * [misc]backup-simplify: Simplify 0 into 0 1538416911.935 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416911.936 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.936 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n))) 1538416911.936 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n))) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n)) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.936 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.936 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) n) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538416911.936 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.936 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.936 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.936 * [misc]backup-simplify: Simplify 2 into 2 1538416911.936 * [misc]taylor: Taking taylor expansion of n in n 1538416911.936 * [misc]backup-simplify: Simplify 0 into 0 1538416911.937 * [misc]backup-simplify: Simplify 1 into 1 1538416911.937 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.937 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.937 * [misc]taylor: Taking taylor expansion of k in n 1538416911.937 * [misc]backup-simplify: Simplify k into k 1538416911.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.937 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538416911.938 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.938 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.938 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.938 * [misc]backup-simplify: Simplify 2 into 2 1538416911.938 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.938 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.938 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.938 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.938 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.938 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of k in n 1538416911.938 * [misc]backup-simplify: Simplify k into k 1538416911.938 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.938 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.938 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.938 * [misc]backup-simplify: Simplify PI into PI 1538416911.938 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.939 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.939 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.939 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416911.939 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416911.939 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.939 * [misc]taylor: Taking taylor expansion of n in n 1538416911.939 * [misc]backup-simplify: Simplify 0 into 0 1538416911.939 * [misc]backup-simplify: Simplify 1 into 1 1538416911.939 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538416911.940 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538416911.940 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.940 * [misc]backup-simplify: Simplify (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) into (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))) 1538416911.941 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538416911.941 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) 1538416911.941 * [misc]backup-simplify: Simplify 0 into 0 1538416911.941 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1538416911.942 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1538416911.942 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.943 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.943 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416911.944 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)))) 1538416911.944 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)))) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2))) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.944 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.944 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 2)) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538416911.944 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.944 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.944 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.944 * [misc]backup-simplify: Simplify 2 into 2 1538416911.944 * [misc]taylor: Taking taylor expansion of n in n 1538416911.944 * [misc]backup-simplify: Simplify 0 into 0 1538416911.944 * [misc]backup-simplify: Simplify 1 into 1 1538416911.944 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.944 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.944 * [misc]taylor: Taking taylor expansion of k in n 1538416911.944 * [misc]backup-simplify: Simplify k into k 1538416911.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.945 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.945 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538416911.945 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.945 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.945 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416911.945 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.945 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.945 * [misc]backup-simplify: Simplify 2 into 2 1538416911.945 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.946 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.946 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.946 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.946 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.946 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of k in n 1538416911.946 * [misc]backup-simplify: Simplify k into k 1538416911.946 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.946 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.946 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.946 * [misc]backup-simplify: Simplify PI into PI 1538416911.946 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.946 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.946 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.946 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416911.946 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416911.947 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.947 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1538416911.947 * [misc]taylor: Taking taylor expansion of n in n 1538416911.947 * [misc]backup-simplify: Simplify 0 into 0 1538416911.947 * [misc]backup-simplify: Simplify 1 into 1 1538416911.947 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538416911.947 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538416911.947 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.948 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.949 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.949 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.949 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.950 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538416911.951 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.951 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416911.952 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416911.953 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.953 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538416911.953 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538416911.954 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.954 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.955 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.955 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538416911.956 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538416911.956 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.956 * [misc]backup-simplify: Simplify 0 into 0 1538416911.957 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.957 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.957 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.958 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.958 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.958 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538416911.959 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.959 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416911.959 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416911.961 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.961 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538416911.961 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538416911.962 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.962 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.964 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538416911.964 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1538416911.965 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.965 * [misc]backup-simplify: Simplify 0 into 0 1538416911.965 * [misc]backup-simplify: Simplify 0 into 0 1538416911.965 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1538416911.965 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1538416911.965 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416911.966 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1538416911.966 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1538416911.966 * [misc]backup-simplify: Simplify (+ (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (/ +nan.0 (pow n 3))) (+ (* 0 (/ +nan.0 (pow n 2))) (+ (* 0 (/ +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)))) 1538416911.967 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)))) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3))) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416911.967 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416911.967 * [misc]taylor: Taking taylor expansion of (/ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) (pow n 3)) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of -1/2 in n 1538416911.967 * [misc]backup-simplify: Simplify -1/2 into -1/2 1538416911.967 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1538416911.967 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.967 * [misc]backup-simplify: Simplify 2 into 2 1538416911.967 * [misc]taylor: Taking taylor expansion of n in n 1538416911.967 * [misc]backup-simplify: Simplify 0 into 0 1538416911.967 * [misc]backup-simplify: Simplify 1 into 1 1538416911.967 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1538416911.967 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1538416911.967 * [misc]taylor: Taking taylor expansion of k in n 1538416911.967 * [misc]backup-simplify: Simplify k into k 1538416911.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.967 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1538416911.968 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1538416911.968 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1538416911.968 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1538416911.968 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of 2 in n 1538416911.968 * [misc]backup-simplify: Simplify 2 into 2 1538416911.968 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1538416911.968 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1538416911.968 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416911.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416911.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416911.968 * [misc]taylor: Taking taylor expansion of k in n 1538416911.968 * [misc]backup-simplify: Simplify k into k 1538416911.969 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416911.969 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416911.969 * [misc]taylor: Taking taylor expansion of PI in n 1538416911.969 * [misc]backup-simplify: Simplify PI into PI 1538416911.969 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416911.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416911.969 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1538416911.969 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1538416911.969 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416911.969 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1538416911.969 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1538416911.970 * [misc]taylor: Taking taylor expansion of n in n 1538416911.970 * [misc]backup-simplify: Simplify 0 into 0 1538416911.970 * [misc]backup-simplify: Simplify 1 into 1 1538416911.970 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) into (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) 1538416911.970 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1538416911.970 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.970 * [misc]backup-simplify: Simplify (* 1 1) into 1 1538416911.971 * [misc]backup-simplify: Simplify (/ (* (sqrt 2) (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 1) into (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) 1538416911.972 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416911.972 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416911.972 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416911.972 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.973 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.973 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1538416911.975 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416911.975 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.976 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416911.976 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.976 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.976 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538416911.978 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.979 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.979 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.980 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.980 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1538416911.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1538416911.981 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1538416911.982 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1538416911.982 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416911.983 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1538416911.983 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.985 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416911.986 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.986 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538416911.987 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.988 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416911.988 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.988 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.988 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416911.988 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.989 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1538416911.989 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)))) into 0 1538416911.990 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.990 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416911.990 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.990 * [misc]backup-simplify: Simplify 0 into 0 1538416911.993 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416911.993 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416911.993 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416911.993 * [misc]backup-simplify: Simplify (- 0) into 0 1538416911.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416911.994 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538416911.995 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416911.996 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1538416911.997 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1538416911.997 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416911.999 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1538416911.999 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416912.000 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1538416912.001 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416912.001 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1538416912.002 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1538416912.002 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.003 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1538416912.003 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.003 * [misc]backup-simplify: Simplify 0 into 0 1538416912.003 * [misc]backup-simplify: Simplify (* (- (* +nan.0 (* (sqrt 2) (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 (/ 1 n)) (/ 1 k))) into (* +nan.0 (/ (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* n (pow PI (- 1/2 (* 1/2 k)))))) k)) 1538416912.004 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (* (/ 1 (sqrt (* 2 (/ 1 (- n))))) (/ (sqrt (/ 1 (- k))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2)))))) into (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) 1538416912.004 * [misc]approximate: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in (k n) around 0 1538416912.004 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in n 1538416912.004 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416912.004 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416912.004 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.004 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.004 * [misc]backup-simplify: Simplify -2 into -2 1538416912.004 * [misc]taylor: Taking taylor expansion of n in n 1538416912.004 * [misc]backup-simplify: Simplify 0 into 0 1538416912.004 * [misc]backup-simplify: Simplify 1 into 1 1538416912.004 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.004 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416912.005 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416912.005 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of k in n 1538416912.005 * [misc]backup-simplify: Simplify k into k 1538416912.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416912.005 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.005 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.005 * [misc]backup-simplify: Simplify -2 into -2 1538416912.005 * [misc]taylor: Taking taylor expansion of n in n 1538416912.005 * [misc]backup-simplify: Simplify 0 into 0 1538416912.005 * [misc]backup-simplify: Simplify 1 into 1 1538416912.005 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.005 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416912.005 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416912.005 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.006 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538416912.006 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416912.006 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of k in n 1538416912.006 * [misc]backup-simplify: Simplify k into k 1538416912.006 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416912.006 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.006 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416912.006 * [misc]taylor: Taking taylor expansion of PI in n 1538416912.006 * [misc]backup-simplify: Simplify PI into PI 1538416912.006 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416912.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416912.007 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416912.007 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416912.007 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1538416912.007 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1538416912.007 * [misc]taylor: Taking taylor expansion of -1 in n 1538416912.007 * [misc]backup-simplify: Simplify -1 into -1 1538416912.007 * [misc]taylor: Taking taylor expansion of k in n 1538416912.007 * [misc]backup-simplify: Simplify k into k 1538416912.007 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1538416912.007 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1538416912.007 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1538416912.007 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1538416912.007 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416912.008 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.009 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.009 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416912.009 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416912.009 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.010 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538416912.010 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.011 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416912.012 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416912.012 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416912.013 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416912.013 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.013 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1538416912.014 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.014 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.014 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.015 * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (sqrt (/ -1 k))) into (* +nan.0 (/ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) (sqrt (/ -1 k)))) 1538416912.015 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of -2 in k 1538416912.015 * [misc]backup-simplify: Simplify -2 into -2 1538416912.015 * [misc]taylor: Taking taylor expansion of n in k 1538416912.015 * [misc]backup-simplify: Simplify n into n 1538416912.015 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416912.015 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538416912.015 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538416912.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538416912.015 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.015 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.015 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of k in k 1538416912.015 * [misc]backup-simplify: Simplify 0 into 0 1538416912.015 * [misc]backup-simplify: Simplify 1 into 1 1538416912.015 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.015 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416912.015 * [misc]taylor: Taking taylor expansion of -2 in k 1538416912.015 * [misc]backup-simplify: Simplify -2 into -2 1538416912.015 * [misc]taylor: Taking taylor expansion of n in k 1538416912.015 * [misc]backup-simplify: Simplify n into n 1538416912.015 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416912.015 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416912.016 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.016 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416912.016 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538416912.016 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.016 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of k in k 1538416912.016 * [misc]backup-simplify: Simplify 0 into 0 1538416912.016 * [misc]backup-simplify: Simplify 1 into 1 1538416912.016 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.016 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.016 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.016 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.016 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.016 * [misc]backup-simplify: Simplify PI into PI 1538416912.016 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.016 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.017 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416912.017 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.017 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416912.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416912.017 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416912.017 * [misc]taylor: Taking taylor expansion of -1 in k 1538416912.017 * [misc]backup-simplify: Simplify -1 into -1 1538416912.017 * [misc]taylor: Taking taylor expansion of k in k 1538416912.017 * [misc]backup-simplify: Simplify 0 into 0 1538416912.017 * [misc]backup-simplify: Simplify 1 into 1 1538416912.017 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416912.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416912.018 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416912.018 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416912.018 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416912.018 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.018 * [misc]taylor: Taking taylor expansion of (/ (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (sqrt (/ -1 k))) in k 1538416912.018 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1538416912.018 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1538416912.018 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416912.018 * [misc]taylor: Taking taylor expansion of -2 in k 1538416912.018 * [misc]backup-simplify: Simplify -2 into -2 1538416912.018 * [misc]taylor: Taking taylor expansion of n in k 1538416912.018 * [misc]backup-simplify: Simplify n into n 1538416912.018 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416912.018 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1538416912.018 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1538416912.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1538416912.019 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of k in k 1538416912.019 * [misc]backup-simplify: Simplify 0 into 0 1538416912.019 * [misc]backup-simplify: Simplify 1 into 1 1538416912.019 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.019 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of -2 in k 1538416912.019 * [misc]backup-simplify: Simplify -2 into -2 1538416912.019 * [misc]taylor: Taking taylor expansion of n in k 1538416912.019 * [misc]backup-simplify: Simplify n into n 1538416912.019 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1538416912.019 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1538416912.019 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.019 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1538416912.019 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1538416912.019 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.019 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.019 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.019 * [misc]taylor: Taking taylor expansion of k in k 1538416912.019 * [misc]backup-simplify: Simplify 0 into 0 1538416912.019 * [misc]backup-simplify: Simplify 1 into 1 1538416912.020 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.020 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.020 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.020 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.020 * [misc]backup-simplify: Simplify PI into PI 1538416912.020 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.020 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.020 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416912.020 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.021 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416912.021 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1538416912.021 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1538416912.021 * [misc]taylor: Taking taylor expansion of -1 in k 1538416912.021 * [misc]backup-simplify: Simplify -1 into -1 1538416912.021 * [misc]taylor: Taking taylor expansion of k in k 1538416912.021 * [misc]backup-simplify: Simplify 0 into 0 1538416912.021 * [misc]backup-simplify: Simplify 1 into 1 1538416912.021 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1538416912.021 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416912.021 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1538416912.021 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416912.021 * [misc]backup-simplify: Simplify (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1538416912.022 * [misc]backup-simplify: Simplify (/ (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) +nan.0) into (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.022 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416912.022 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416912.022 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.022 * [misc]backup-simplify: Simplify -2 into -2 1538416912.022 * [misc]taylor: Taking taylor expansion of n in n 1538416912.022 * [misc]backup-simplify: Simplify 0 into 0 1538416912.022 * [misc]backup-simplify: Simplify 1 into 1 1538416912.022 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.022 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416912.022 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416912.022 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.022 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.022 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416912.022 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.023 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.023 * [misc]backup-simplify: Simplify -2 into -2 1538416912.023 * [misc]taylor: Taking taylor expansion of n in n 1538416912.023 * [misc]backup-simplify: Simplify 0 into 0 1538416912.023 * [misc]backup-simplify: Simplify 1 into 1 1538416912.023 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.023 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416912.023 * [misc]taylor: Taking taylor expansion of k in n 1538416912.023 * [misc]backup-simplify: Simplify k into k 1538416912.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.023 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.023 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538416912.024 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538416912.024 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416912.024 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.024 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of k in n 1538416912.024 * [misc]backup-simplify: Simplify k into k 1538416912.024 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416912.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.024 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416912.024 * [misc]taylor: Taking taylor expansion of PI in n 1538416912.024 * [misc]backup-simplify: Simplify PI into PI 1538416912.024 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.024 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416912.024 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416912.025 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416912.025 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416912.026 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.026 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416912.026 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416912.027 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.027 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538416912.028 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.028 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416912.029 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416912.030 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538416912.030 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538416912.031 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.031 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.031 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416912.032 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.032 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.032 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.032 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.033 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (/ -2 n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.033 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -2 n)) 0) (* 0 (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416912.033 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1538416912.034 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416912.034 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1538416912.034 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1538416912.034 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1538416912.034 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1538416912.034 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1538416912.034 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1538416912.034 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1538416912.034 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.034 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.034 * [misc]backup-simplify: Simplify -2 into -2 1538416912.034 * [misc]taylor: Taking taylor expansion of n in n 1538416912.034 * [misc]backup-simplify: Simplify 0 into 0 1538416912.034 * [misc]backup-simplify: Simplify 1 into 1 1538416912.035 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.035 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1538416912.035 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1538416912.035 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.035 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1538416912.035 * [misc]taylor: Taking taylor expansion of -2 in n 1538416912.035 * [misc]backup-simplify: Simplify -2 into -2 1538416912.035 * [misc]taylor: Taking taylor expansion of n in n 1538416912.035 * [misc]backup-simplify: Simplify 0 into 0 1538416912.035 * [misc]backup-simplify: Simplify 1 into 1 1538416912.035 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1538416912.035 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1538416912.035 * [misc]taylor: Taking taylor expansion of k in n 1538416912.035 * [misc]backup-simplify: Simplify k into k 1538416912.036 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.036 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1538416912.036 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1538416912.036 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1538416912.036 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1538416912.036 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1538416912.036 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1538416912.036 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1538416912.036 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1538416912.036 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1538416912.036 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.037 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1538416912.037 * [misc]taylor: Taking taylor expansion of k in n 1538416912.037 * [misc]backup-simplify: Simplify k into k 1538416912.037 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1538416912.037 * [misc]taylor: Taking taylor expansion of 1/2 in n 1538416912.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.037 * [misc]taylor: Taking taylor expansion of (log PI) in n 1538416912.037 * [misc]taylor: Taking taylor expansion of PI in n 1538416912.037 * [misc]backup-simplify: Simplify PI into PI 1538416912.037 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.037 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1538416912.037 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1538416912.037 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416912.037 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1538416912.039 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.039 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1538416912.039 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1538416912.039 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.040 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1538416912.040 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.041 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416912.042 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1538416912.042 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1538416912.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1538416912.043 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1538416912.043 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.044 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) into (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) 1538416912.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.044 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1538416912.045 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0)) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.045 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.045 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.048 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416912.048 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416912.048 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1538416912.048 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.049 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1538416912.050 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416912.050 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.053 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1538416912.053 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1538416912.053 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1538416912.054 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1538416912.055 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (+ (* 0 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into 0 1538416912.055 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1538416912.056 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1538416912.056 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.057 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (+ (* 0 (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (* 0 0))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.057 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) 1538416912.058 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))) (* 1 (/ 1 (- k)))) (- (* +nan.0 (* (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k))))) (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2))))))) into (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) n))))))) 1538416912.058 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1) 1538416912.059 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ k 2))) into (* (- 1/2 (* 1/2 k)) (log PI)) 1538416912.059 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in (k) around 0 1538416912.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.059 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.059 * [misc]taylor: Taking taylor expansion of k in k 1538416912.059 * [misc]backup-simplify: Simplify 0 into 0 1538416912.059 * [misc]backup-simplify: Simplify 1 into 1 1538416912.059 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.059 * [misc]backup-simplify: Simplify PI into PI 1538416912.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.059 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.059 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.059 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.059 * [misc]taylor: Taking taylor expansion of k in k 1538416912.059 * [misc]backup-simplify: Simplify 0 into 0 1538416912.059 * [misc]backup-simplify: Simplify 1 into 1 1538416912.059 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.059 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.059 * [misc]backup-simplify: Simplify PI into PI 1538416912.059 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.060 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1538416912.060 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.060 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416912.060 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.060 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.063 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.063 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1538416912.063 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416912.063 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416912.064 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416912.064 * [misc]backup-simplify: Simplify (- (* 1/2 (log PI))) into (- (* 1/2 (log PI))) 1538416912.067 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416912.067 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1538416912.067 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.067 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.068 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1538416912.068 * [misc]backup-simplify: Simplify 0 into 0 1538416912.072 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416912.073 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1538416912.073 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.073 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.074 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416912.074 * [misc]backup-simplify: Simplify 0 into 0 1538416912.081 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416912.081 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1538416912.081 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.081 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.083 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416912.083 * [misc]backup-simplify: Simplify 0 into 0 1538416912.093 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416912.093 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1538416912.093 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.095 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416912.095 * [misc]backup-simplify: Simplify 0 into 0 1538416912.111 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416912.111 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))))) into 0 1538416912.111 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.111 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.114 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416912.114 * [misc]backup-simplify: Simplify 0 into 0 1538416912.137 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416912.138 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))))) into 0 1538416912.138 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.138 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.141 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416912.141 * [misc]backup-simplify: Simplify 0 into 0 1538416912.142 * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (log PI))) k) (* 1/2 (log PI))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416912.142 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 k) 2))) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1538416912.142 * [misc]approximate: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in (k) around 0 1538416912.142 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416912.142 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416912.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.142 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.142 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.142 * [misc]taylor: Taking taylor expansion of k in k 1538416912.142 * [misc]backup-simplify: Simplify 0 into 0 1538416912.142 * [misc]backup-simplify: Simplify 1 into 1 1538416912.142 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.142 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.142 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.142 * [misc]backup-simplify: Simplify PI into PI 1538416912.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.143 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1538416912.143 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1538416912.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.143 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.143 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.143 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.143 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.143 * [misc]taylor: Taking taylor expansion of k in k 1538416912.143 * [misc]backup-simplify: Simplify 0 into 0 1538416912.143 * [misc]backup-simplify: Simplify 1 into 1 1538416912.143 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.143 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.143 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.143 * [misc]backup-simplify: Simplify PI into PI 1538416912.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.143 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.143 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1538416912.143 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1538416912.144 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416912.144 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1538416912.146 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.146 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416912.146 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538416912.146 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.146 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416912.147 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538416912.147 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.149 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416912.150 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538416912.150 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.150 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.151 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538416912.151 * [misc]backup-simplify: Simplify 0 into 0 1538416912.156 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416912.156 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.156 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538416912.156 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.156 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.157 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416912.157 * [misc]backup-simplify: Simplify 0 into 0 1538416912.164 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416912.164 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.164 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538416912.165 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.165 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.166 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416912.166 * [misc]backup-simplify: Simplify 0 into 0 1538416912.176 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416912.177 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.177 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538416912.177 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.177 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.179 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416912.179 * [misc]backup-simplify: Simplify 0 into 0 1538416912.195 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416912.195 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.195 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538416912.196 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.196 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.198 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416912.198 * [misc]backup-simplify: Simplify 0 into 0 1538416912.231 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416912.231 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.232 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538416912.232 * [misc]backup-simplify: Simplify (- 0) into 0 1538416912.232 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.236 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416912.236 * [misc]backup-simplify: Simplify 0 into 0 1538416912.237 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* -1/2 (log PI)) (/ 1 (/ 1 k)))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416912.237 * [misc]backup-simplify: Simplify (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1538416912.237 * [misc]approximate: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in (k) around 0 1538416912.237 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416912.237 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416912.237 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.237 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.237 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.237 * [misc]taylor: Taking taylor expansion of k in k 1538416912.237 * [misc]backup-simplify: Simplify 0 into 0 1538416912.237 * [misc]backup-simplify: Simplify 1 into 1 1538416912.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.238 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.238 * [misc]backup-simplify: Simplify PI into PI 1538416912.238 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.238 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.238 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of k in k 1538416912.238 * [misc]backup-simplify: Simplify 0 into 0 1538416912.238 * [misc]backup-simplify: Simplify 1 into 1 1538416912.238 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1538416912.238 * [misc]taylor: Taking taylor expansion of 1/2 in k 1538416912.238 * [misc]backup-simplify: Simplify 1/2 into 1/2 1538416912.238 * [misc]taylor: Taking taylor expansion of (log PI) in k 1538416912.238 * [misc]taylor: Taking taylor expansion of PI in k 1538416912.238 * [misc]backup-simplify: Simplify PI into PI 1538416912.238 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1538416912.238 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1538416912.239 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1538416912.239 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.239 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.241 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1538416912.241 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1538416912.241 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1538416912.241 * [misc]backup-simplify: Simplify (+ 0 1/2) into 1/2 1538416912.242 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 1/2 (log PI))) into (* 1/2 (log PI)) 1538416912.242 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1538416912.244 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1538416912.245 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.245 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1538416912.245 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (* 0 (log PI)))) into 0 1538416912.246 * [misc]backup-simplify: Simplify 0 into 0 1538416912.250 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 1538416912.250 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.250 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1538416912.250 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.252 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1538416912.253 * [misc]backup-simplify: Simplify 0 into 0 1538416912.260 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow PI 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow PI 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow PI 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow PI 1)))) 24) into 0 1538416912.260 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.261 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1538416912.261 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.263 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1538416912.263 * [misc]backup-simplify: Simplify 0 into 0 1538416912.282 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow PI 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow PI 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow PI 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow PI 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow PI 1)))) 120) into 0 1538416912.283 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.283 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 1538416912.283 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.287 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))) into 0 1538416912.287 * [misc]backup-simplify: Simplify 0 into 0 1538416912.315 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow PI 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow PI 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow PI 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow PI 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow PI 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow PI 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow PI 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow PI 1)))) 720) into 0 1538416912.316 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.316 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))))) into 0 1538416912.316 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.320 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))))) into 0 1538416912.320 * [misc]backup-simplify: Simplify 0 into 0 1538416912.353 * [misc]backup-simplify: Simplify (/ (+ (* 720 (/ (* (pow (* 1 0) 7)) (pow PI 7))) (* -2520 (/ (* (pow (* 1 0) 5) (pow (* 2 0) 1)) (pow PI 6))) (* 2520 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 2)) (pow PI 5))) (* 840 (/ (* (pow (* 1 0) 4) 1 (pow (* 6 0) 1)) (pow PI 5))) (* -630 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 3)) (pow PI 4))) (* -1260 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow PI 4))) (* -210 (/ (* (pow (* 1 0) 3) 1 1 (pow (* 24 0) 1)) (pow PI 4))) (* 210 (/ (* 1 (pow (* 2 0) 2) (pow (* 6 0) 1)) (pow PI 3))) (* 140 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 2)) (pow PI 3))) (* 210 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow PI 3))) (* 42 (/ (* (pow (* 1 0) 2) 1 1 1 (pow (* 120 0) 1)) (pow PI 3))) (* -35 (/ (* 1 1 (pow (* 6 0) 1) (pow (* 24 0) 1)) (pow PI 2))) (* -21 (/ (* 1 (pow (* 2 0) 1) 1 1 (pow (* 120 0) 1)) (pow PI 2))) (* -7 (/ (* (pow (* 1 0) 1) 1 1 1 1 (pow (* 720 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 1 1 1 1 (pow (* 5040 0) 1)) (pow PI 1)))) 5040) into 0 1538416912.354 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1538416912.354 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))))) into 0 1538416912.354 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1538416912.357 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI))))))))) into 0 1538416912.357 * [misc]backup-simplify: Simplify 0 into 0 1538416912.358 * [misc]backup-simplify: Simplify (+ (* 1/2 (log PI)) (* (* 1/2 (log PI)) (/ 1 (/ 1 (- k))))) into (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416912.358 * * * [misc]progress: simplifying candidates 1538416912.358 * * * * [misc]progress: [ 1 / 137 ] simplifiying candidate # 1538416912.358 * * * * [misc]progress: [ 2 / 137 ] simplifiying candidate # 1538416912.358 * [enter]simplify: Simplifying (- 1/2) 1538416912.358 * * [misc]simplify: iters left: 2 (2 enodes) 1538416912.359 * * [misc]simplify: iters left: 1 (3 enodes) 1538416912.359 * [exit]simplify: Simplified to -1/2 1538416912.359 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (* 2 n) -1/2) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.359 * * * * [misc]progress: [ 3 / 137 ] simplifiying candidate # 1538416912.360 * [enter]simplify: Simplifying (- 1) 1538416912.360 * * [misc]simplify: iters left: 2 (2 enodes) 1538416912.360 * * [misc]simplify: iters left: 1 (5 enodes) 1538416912.361 * [exit]simplify: Simplified to -1 1538416912.361 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (pow (sqrt (* 2 n)) -1) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.361 * * * * [misc]progress: [ 4 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 5 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 6 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 7 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 8 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 9 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 10 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 11 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 12 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 13 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 14 / 137 ] simplifiying candidate # 1538416912.361 * * * * [misc]progress: [ 15 / 137 ] simplifiying candidate # 1538416912.361 * [enter]simplify: Simplifying (cbrt (sqrt (* 2 n))) 1538416912.361 * * [misc]simplify: iters left: 4 (5 enodes) 1538416912.362 * * [misc]simplify: iters left: 3 (6 enodes) 1538416912.363 * [exit]simplify: Simplified to (cbrt (sqrt (* 2 n))) 1538416912.363 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (cbrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.363 * * * * [misc]progress: [ 16 / 137 ] simplifiying candidate # 1538416912.363 * [enter]simplify: Simplifying (sqrt n) 1538416912.363 * * [misc]simplify: iters left: 1 (2 enodes) 1538416912.364 * [exit]simplify: Simplified to (sqrt n) 1538416912.364 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt 2)) (sqrt n)) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.364 * * * * [misc]progress: [ 17 / 137 ] simplifiying candidate # 1538416912.364 * [enter]simplify: Simplifying (sqrt (sqrt (* 2 n))) 1538416912.364 * * [misc]simplify: iters left: 4 (5 enodes) 1538416912.365 * * [misc]simplify: iters left: 3 (6 enodes) 1538416912.365 * [exit]simplify: Simplified to (sqrt (sqrt (* 2 n))) 1538416912.365 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (sqrt (sqrt (* 2 n)))) (sqrt (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.366 * * * * [misc]progress: [ 18 / 137 ] simplifiying candidate # 1538416912.366 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538416912.366 * * [misc]simplify: iters left: 3 (4 enodes) 1538416912.366 * * [misc]simplify: iters left: 2 (5 enodes) 1538416912.367 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416912.367 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 1) (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416912.367 * * * * [misc]progress: [ 19 / 137 ] simplifiying candidate # 1538416912.367 * [enter]simplify: Simplifying (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416912.367 * * [misc]simplify: iters left: 6 (14 enodes) 1538416912.372 * * [misc]simplify: iters left: 5 (23 enodes) 1538416912.378 * * [misc]simplify: iters left: 4 (35 enodes) 1538416912.386 * * [misc]simplify: iters left: 3 (60 enodes) 1538416912.396 * * [misc]simplify: iters left: 2 (94 enodes) 1538416912.411 * * [misc]simplify: iters left: 1 (152 enodes) 1538416912.454 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) 1538416912.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) 1))) 1538416912.454 * * * * [misc]progress: [ 20 / 137 ] simplifiying candidate # 1538416912.454 * * * * [misc]progress: [ 21 / 137 ] simplifiying candidate # 1538416912.455 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538416912.455 * * [misc]simplify: iters left: 6 (16 enodes) 1538416912.460 * * [misc]simplify: iters left: 5 (29 enodes) 1538416912.467 * * [misc]simplify: iters left: 4 (59 enodes) 1538416912.479 * * [misc]simplify: iters left: 3 (158 enodes) 1538416912.520 * * [misc]simplify: iters left: 2 (309 enodes) 1538416912.607 * [exit]simplify: Simplified to (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2))) 1538416912.607 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2)))))) 1538416912.608 * * * * [misc]progress: [ 22 / 137 ] simplifiying candidate # 1538416912.608 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538416912.608 * * [misc]simplify: iters left: 6 (16 enodes) 1538416912.613 * * [misc]simplify: iters left: 5 (29 enodes) 1538416912.618 * * [misc]simplify: iters left: 4 (59 enodes) 1538416912.633 * * [misc]simplify: iters left: 3 (158 enodes) 1538416912.664 * * [misc]simplify: iters left: 2 (309 enodes) 1538416912.806 * [exit]simplify: Simplified to (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2))) 1538416912.806 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (- (log (sqrt k)) (log (sqrt (* 2 n)))) (* (log (* 2 n)) (/ k 2)))))) 1538416912.806 * * * * [misc]progress: [ 23 / 137 ] simplifiying candidate # 1538416912.807 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538416912.807 * * [misc]simplify: iters left: 6 (16 enodes) 1538416912.812 * * [misc]simplify: iters left: 5 (25 enodes) 1538416912.820 * * [misc]simplify: iters left: 4 (46 enodes) 1538416912.838 * * [misc]simplify: iters left: 3 (113 enodes) 1538416912.900 * * [misc]simplify: iters left: 2 (318 enodes) 1538416913.024 * [exit]simplify: Simplified to (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n)))) 1538416913.024 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n))))))) 1538416913.024 * * * * [misc]progress: [ 24 / 137 ] simplifiying candidate # 1538416913.024 * [enter]simplify: Simplifying (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538416913.025 * * [misc]simplify: iters left: 6 (15 enodes) 1538416913.027 * * [misc]simplify: iters left: 5 (21 enodes) 1538416913.030 * * [misc]simplify: iters left: 4 (30 enodes) 1538416913.037 * * [misc]simplify: iters left: 3 (56 enodes) 1538416913.057 * * [misc]simplify: iters left: 2 (125 enodes) 1538416913.118 * * [misc]simplify: iters left: 1 (332 enodes) 1538416913.246 * [exit]simplify: Simplified to (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n)))) 1538416913.246 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (log (sqrt k)) (* (/ k 2) (log (* 2 n)))) (log (sqrt (* 2 n))))))) 1538416913.246 * * * * [misc]progress: [ 25 / 137 ] simplifiying candidate # 1538416913.246 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538416913.246 * * [misc]simplify: iters left: 6 (17 enodes) 1538416913.252 * * [misc]simplify: iters left: 5 (36 enodes) 1538416913.258 * * [misc]simplify: iters left: 4 (66 enodes) 1538416913.272 * * [misc]simplify: iters left: 3 (177 enodes) 1538416913.311 * * [misc]simplify: iters left: 2 (394 enodes) 1538416913.470 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2)))) 1538416913.470 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538416913.470 * * * * [misc]progress: [ 26 / 137 ] simplifiying candidate # 1538416913.470 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2))))) 1538416913.470 * * [misc]simplify: iters left: 6 (17 enodes) 1538416913.477 * * [misc]simplify: iters left: 5 (36 enodes) 1538416913.482 * * [misc]simplify: iters left: 4 (66 enodes) 1538416913.498 * * [misc]simplify: iters left: 3 (177 enodes) 1538416913.553 * * [misc]simplify: iters left: 2 (394 enodes) 1538416913.752 * [exit]simplify: Simplified to (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2)))) 1538416913.752 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (+ (* (/ k 2) (log (* n 2))) (log (sqrt k))) (log (sqrt (* n 2))))))) 1538416913.752 * * * * [misc]progress: [ 27 / 137 ] simplifiying candidate # 1538416913.753 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2)))))) 1538416913.753 * * [misc]simplify: iters left: 6 (17 enodes) 1538416913.759 * * [misc]simplify: iters left: 5 (32 enodes) 1538416913.768 * * [misc]simplify: iters left: 4 (53 enodes) 1538416913.786 * * [misc]simplify: iters left: 3 (131 enodes) 1538416913.852 * * [misc]simplify: iters left: 2 (401 enodes) 1538416914.066 * [exit]simplify: Simplified to (+ (log (sqrt k)) (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2))))) 1538416914.066 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (sqrt k)) (- (* (/ k 2) (log (* n 2))) (log (sqrt (* n 2)))))))) 1538416914.066 * * * * [misc]progress: [ 28 / 137 ] simplifiying candidate # 1538416914.066 * [enter]simplify: Simplifying (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538416914.066 * * [misc]simplify: iters left: 6 (16 enodes) 1538416914.069 * * [misc]simplify: iters left: 5 (28 enodes) 1538416914.073 * * [misc]simplify: iters left: 4 (37 enodes) 1538416914.079 * * [misc]simplify: iters left: 3 (71 enodes) 1538416914.092 * * [misc]simplify: iters left: 2 (175 enodes) 1538416914.165 * * [misc]simplify: iters left: 1 (485 enodes) 1538416914.323 * [exit]simplify: Simplified to (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt k)))) 1538416914.324 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (* (log (* n 2)) (/ k 2)) (- (log (sqrt (* n 2))) (log (sqrt k))))))) 1538416914.324 * * * * [misc]progress: [ 29 / 137 ] simplifiying candidate # 1538416914.324 * * * * [misc]progress: [ 30 / 137 ] simplifiying candidate # 1538416914.324 * * * * [misc]progress: [ 31 / 137 ] simplifiying candidate # 1538416914.324 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1538416914.324 * * [misc]simplify: iters left: 6 (20 enodes) 1538416914.328 * * [misc]simplify: iters left: 5 (45 enodes) 1538416914.341 * * [misc]simplify: iters left: 4 (143 enodes) 1538416914.458 * [exit]simplify: Simplified to (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2)))))) 1538416914.458 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (/ (/ 1 (sqrt (* n 2))) (sqrt (* n 2))) (/ (pow (* n 2) (- (/ k 2))) (/ 1 (sqrt (* n 2))))) (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ k (pow (* n 2) (- (/ k 2))))))))) 1538416914.458 * * * * [misc]progress: [ 32 / 137 ] simplifiying candidate # 1538416914.459 * [enter]simplify: Simplifying (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) 1538416914.459 * * [misc]simplify: iters left: 6 (18 enodes) 1538416914.465 * * [misc]simplify: iters left: 5 (41 enodes) 1538416914.477 * * [misc]simplify: iters left: 4 (116 enodes) 1538416914.522 * * [misc]simplify: iters left: 3 (310 enodes) 1538416914.757 * [exit]simplify: Simplified to (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k)))) 1538416914.757 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (/ (/ 1 (sqrt (* n 2))) (* (sqrt (* n 2)) (sqrt (* n 2)))) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (/ (pow (* n 2) (- (/ k 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))))))) 1538416914.757 * * * * [misc]progress: [ 33 / 137 ] simplifiying candidate # 1538416914.757 * * * * [misc]progress: [ 34 / 137 ] simplifiying candidate # 1538416914.758 * * * * [misc]progress: [ 35 / 137 ] simplifiying candidate # 1538416914.758 * * * * [misc]progress: [ 36 / 137 ] simplifiying candidate # 1538416914.758 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1538416914.758 * * [misc]simplify: iters left: 3 (4 enodes) 1538416914.759 * * [misc]simplify: iters left: 2 (7 enodes) 1538416914.762 * * [misc]simplify: iters left: 1 (9 enodes) 1538416914.764 * [exit]simplify: Simplified to (sqrt k) 1538416914.764 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2))))))) 1538416914.764 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538416914.764 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.765 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.767 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538416914.767 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n)))))) 1538416914.767 * * * * [misc]progress: [ 37 / 137 ] simplifiying candidate # 1538416914.767 * * * * [misc]progress: [ 38 / 137 ] simplifiying candidate # 1538416914.767 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416914.767 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.769 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.771 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416914.771 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (* (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538416914.771 * * * * [misc]progress: [ 39 / 137 ] simplifiying candidate # 1538416914.771 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416914.771 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.773 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.774 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416914.774 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1538416914.774 * * * * [misc]progress: [ 40 / 137 ] simplifiying candidate # 1538416914.775 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538416914.775 * * [misc]simplify: iters left: 6 (8 enodes) 1538416914.776 * * [misc]simplify: iters left: 5 (10 enodes) 1538416914.777 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538416914.778 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538416914.778 * * * * [misc]progress: [ 41 / 137 ] simplifiying candidate # 1538416914.778 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538416914.778 * * [misc]simplify: iters left: 6 (11 enodes) 1538416914.780 * * [misc]simplify: iters left: 5 (14 enodes) 1538416914.782 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538416914.782 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538416914.782 * * * * [misc]progress: [ 42 / 137 ] simplifiying candidate # 1538416914.782 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538416914.782 * * [misc]simplify: iters left: 6 (11 enodes) 1538416914.784 * * [misc]simplify: iters left: 5 (14 enodes) 1538416914.785 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538416914.785 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538416914.785 * * * * [misc]progress: [ 43 / 137 ] simplifiying candidate # 1538416914.786 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416914.786 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.787 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.789 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416914.789 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416914.789 * * * * [misc]progress: [ 44 / 137 ] simplifiying candidate # 1538416914.789 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1538416914.789 * * [misc]simplify: iters left: 6 (8 enodes) 1538416914.791 * * [misc]simplify: iters left: 5 (10 enodes) 1538416914.792 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1538416914.792 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1538416914.792 * * * * [misc]progress: [ 45 / 137 ] simplifiying candidate # 1538416914.792 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538416914.792 * * [misc]simplify: iters left: 6 (11 enodes) 1538416914.794 * * [misc]simplify: iters left: 5 (14 enodes) 1538416914.796 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1538416914.796 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1538416914.796 * * * * [misc]progress: [ 46 / 137 ] simplifiying candidate # 1538416914.796 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538416914.796 * * [misc]simplify: iters left: 6 (11 enodes) 1538416914.798 * * [misc]simplify: iters left: 5 (14 enodes) 1538416914.800 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1538416914.800 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1538416914.800 * * * * [misc]progress: [ 47 / 137 ] simplifiying candidate # 1538416914.800 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1538416914.800 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.801 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.803 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1538416914.803 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1538416914.803 * * * * [misc]progress: [ 48 / 137 ] simplifiying candidate # 1538416914.803 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- (/ k 2)))) 1538416914.803 * * [misc]simplify: iters left: 6 (7 enodes) 1538416914.804 * * [misc]simplify: iters left: 5 (9 enodes) 1538416914.805 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (/ (- k) 2))) 1538416914.805 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (pow n (- (/ k 2))))) (/ (sqrt k) (pow 2 (/ (- k) 2)))))) 1538416914.806 * * * * [misc]progress: [ 49 / 137 ] simplifiying candidate # 1538416914.806 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- (/ k 2))))) 1538416914.806 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.807 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.811 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2)))) 1538416914.811 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* n 2) (/ (- k) 2))))))) 1538416914.811 * * * * [misc]progress: [ 50 / 137 ] simplifiying candidate # 1538416914.811 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- (/ k 2))))) 1538416914.811 * * [misc]simplify: iters left: 6 (10 enodes) 1538416914.817 * * [misc]simplify: iters left: 5 (13 enodes) 1538416914.821 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2)))) 1538416914.821 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* n 2) (/ (- k) 2))))))) 1538416914.821 * * * * [misc]progress: [ 51 / 137 ] simplifiying candidate # 1538416914.821 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416914.821 * * [misc]simplify: iters left: 6 (9 enodes) 1538416914.824 * * [misc]simplify: iters left: 5 (12 enodes) 1538416914.828 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416914.828 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416914.828 * * * * [misc]progress: [ 52 / 137 ] simplifiying candidate # 1538416914.828 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416914.828 * * [misc]simplify: iters left: 6 (9 enodes) 1538416914.831 * * [misc]simplify: iters left: 5 (12 enodes) 1538416914.834 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416914.834 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) 1) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416914.834 * * * * [misc]progress: [ 53 / 137 ] simplifiying candidate # 1538416914.834 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- (/ k 2)))) 1538416914.835 * * [misc]simplify: iters left: 6 (9 enodes) 1538416914.837 * * [misc]simplify: iters left: 5 (14 enodes) 1538416914.841 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- (/ k 2)))) 1538416914.841 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (sqrt k)) (/ 1 (pow (* 2 n) (- (/ k 2))))))) 1538416914.841 * * * * [misc]progress: [ 54 / 137 ] simplifiying candidate # 1538416914.841 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416914.842 * * [misc]simplify: iters left: 3 (6 enodes) 1538416914.843 * * [misc]simplify: iters left: 2 (7 enodes) 1538416914.845 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416914.845 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) 1)) (pow (* n 2) (/ k 2))))) 1538416914.846 * * * * [misc]progress: [ 55 / 137 ] simplifiying candidate # 1538416914.846 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1538416914.846 * * [misc]simplify: iters left: 3 (6 enodes) 1538416914.847 * * [misc]simplify: iters left: 2 (7 enodes) 1538416914.848 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1538416914.848 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) 0))) (pow (* n 2) (/ k 2))))) 1538416914.848 * * * * [misc]progress: [ 56 / 137 ] simplifiying candidate # 1538416914.849 * [enter]simplify: Simplifying (* (cbrt (/ 1 (sqrt (* 2 n)))) (cbrt (/ 1 (sqrt (* 2 n))))) 1538416914.849 * * [misc]simplify: iters left: 6 (8 enodes) 1538416914.850 * * [misc]simplify: iters left: 5 (11 enodes) 1538416914.851 * [exit]simplify: Simplified to (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) 1538416914.851 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ 1 (sqrt (* n 2)))) (cbrt (/ 1 (sqrt (* n 2))))) (* (cbrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538416914.851 * * * * [misc]progress: [ 57 / 137 ] simplifiying candidate # 1538416914.852 * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (* 2 n)))) 1538416914.852 * * [misc]simplify: iters left: 6 (7 enodes) 1538416914.853 * * [misc]simplify: iters left: 5 (10 enodes) 1538416914.854 * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (* n 2)))) 1538416914.854 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ 1 (sqrt (* n 2)))) (* (sqrt (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1538416914.854 * * * * [misc]progress: [ 58 / 137 ] simplifiying candidate # 1538416914.854 * * * * [misc]progress: [ 59 / 137 ] simplifiying candidate # 1538416914.854 * * * * [misc]progress: [ 60 / 137 ] simplifiying candidate # 1538416914.854 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416914.854 * * [misc]simplify: iters left: 5 (7 enodes) 1538416914.855 * * [misc]simplify: iters left: 4 (10 enodes) 1538416914.857 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416914.857 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (* (/ 1 (sqrt (* 2 n))) (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1538416914.857 * * * * [misc]progress: [ 61 / 137 ] simplifiying candidate # 1538416914.857 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416914.857 * * [misc]simplify: iters left: 6 (11 enodes) 1538416914.859 * * [misc]simplify: iters left: 5 (19 enodes) 1538416914.862 * * [misc]simplify: iters left: 4 (26 enodes) 1538416914.865 * * [misc]simplify: iters left: 3 (29 enodes) 1538416914.868 * * [misc]simplify: iters left: 2 (35 enodes) 1538416914.873 * * [misc]simplify: iters left: 1 (48 enodes) 1538416914.880 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416914.880 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (sqrt (* 2 n))))) 1538416914.880 * * * * [misc]progress: [ 62 / 137 ] simplifiying candidate # 1538416914.880 * * * * [misc]progress: [ 63 / 137 ] simplifiying candidate # 1538416914.880 * * * * [misc]progress: [ 64 / 137 ] simplifiying candidate # 1538416914.880 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538416914.880 * * [misc]simplify: iters left: 6 (22 enodes) 1538416914.885 * * [misc]simplify: iters left: 5 (41 enodes) 1538416914.899 * * [misc]simplify: iters left: 4 (91 enodes) 1538416914.945 * * [misc]simplify: iters left: 3 (265 enodes) 1538416915.047 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))) 1538416915.047 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))))) 1538416915.047 * * * * [misc]progress: [ 65 / 137 ] simplifiying candidate # 1538416915.047 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538416915.047 * * [misc]simplify: iters left: 6 (22 enodes) 1538416915.055 * * [misc]simplify: iters left: 5 (41 enodes) 1538416915.069 * * [misc]simplify: iters left: 4 (91 enodes) 1538416915.112 * * [misc]simplify: iters left: 3 (265 enodes) 1538416915.203 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))) 1538416915.203 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (log (sqrt (* 2 n))))))) 1538416915.203 * * * * [misc]progress: [ 66 / 137 ] simplifiying candidate # 1538416915.203 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538416915.203 * * [misc]simplify: iters left: 6 (22 enodes) 1538416915.210 * * [misc]simplify: iters left: 5 (37 enodes) 1538416915.223 * * [misc]simplify: iters left: 4 (78 enodes) 1538416915.253 * * [misc]simplify: iters left: 3 (211 enodes) 1538416915.360 * [exit]simplify: Simplified to (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (* (log (* 2 n)) (/ k 2)) (log (sqrt (* 2 n))))) 1538416915.360 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (* (log (* 2 n)) (/ k 2)) (log (sqrt (* 2 n))))))) 1538416915.360 * * * * [misc]progress: [ 67 / 137 ] simplifiying candidate # 1538416915.361 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416915.361 * * [misc]simplify: iters left: 6 (21 enodes) 1538416915.364 * * [misc]simplify: iters left: 5 (33 enodes) 1538416915.369 * * [misc]simplify: iters left: 4 (59 enodes) 1538416915.381 * * [misc]simplify: iters left: 3 (136 enodes) 1538416915.433 * * [misc]simplify: iters left: 2 (377 enodes) 1538416915.653 * [exit]simplify: Simplified to (- (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI)))) 1538416915.653 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n)))) (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log PI)))))) 1538416915.654 * * * * [misc]progress: [ 68 / 137 ] simplifiying candidate # 1538416915.654 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538416915.654 * * [misc]simplify: iters left: 6 (23 enodes) 1538416915.663 * * [misc]simplify: iters left: 5 (48 enodes) 1538416915.678 * * [misc]simplify: iters left: 4 (98 enodes) 1538416915.709 * * [misc]simplify: iters left: 3 (284 enodes) 1538416915.814 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))) 1538416915.815 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))))) 1538416915.815 * * * * [misc]progress: [ 69 / 137 ] simplifiying candidate # 1538416915.815 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (* (log (* n 2)) (- (/ k 2)))))) 1538416915.815 * * [misc]simplify: iters left: 6 (23 enodes) 1538416915.824 * * [misc]simplify: iters left: 5 (48 enodes) 1538416915.838 * * [misc]simplify: iters left: 4 (98 enodes) 1538416915.881 * * [misc]simplify: iters left: 3 (284 enodes) 1538416916.022 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))) 1538416916.022 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (/ (log (* 2 n)) (/ 2 k)))))) 1538416916.023 * * * * [misc]progress: [ 70 / 137 ] simplifiying candidate # 1538416916.023 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (- (log (sqrt k)) (log (pow (* n 2) (- (/ k 2))))))) 1538416916.023 * * [misc]simplify: iters left: 6 (23 enodes) 1538416916.032 * * [misc]simplify: iters left: 5 (44 enodes) 1538416916.045 * * [misc]simplify: iters left: 4 (85 enodes) 1538416916.066 * * [misc]simplify: iters left: 3 (232 enodes) 1538416916.188 * [exit]simplify: Simplified to (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (* (log (* 2 n)) (/ k 2)))) 1538416916.188 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (+ (log (sqrt (* 2 n))) (* (- 1/2 (/ k 2)) (log PI))) (+ (log (sqrt k)) (* (log (* 2 n)) (/ k 2)))))) 1538416916.188 * * * * [misc]progress: [ 71 / 137 ] simplifiying candidate # 1538416916.188 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ 1 (sqrt (* 2 n)))) (log (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416916.188 * * [misc]simplify: iters left: 6 (22 enodes) 1538416916.192 * * [misc]simplify: iters left: 5 (40 enodes) 1538416916.198 * * [misc]simplify: iters left: 4 (66 enodes) 1538416916.221 * * [misc]simplify: iters left: 3 (153 enodes) 1538416916.281 * * [misc]simplify: iters left: 2 (430 enodes) 1538416916.641 * [exit]simplify: Simplified to (+ (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))) 1538416916.641 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (+ (- (* (- 1/2 (/ k 2)) (log PI)) (log (sqrt k))) (- (log (sqrt (* 2 n))) (* (/ k 2) (log (* 2 n))))))) 1538416916.641 * * * * [misc]progress: [ 72 / 137 ] simplifiying candidate # 1538416916.641 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416916.641 * * [misc]simplify: iters left: 6 (21 enodes) 1538416916.648 * * [misc]simplify: iters left: 5 (37 enodes) 1538416916.659 * * [misc]simplify: iters left: 4 (74 enodes) 1538416916.684 * * [misc]simplify: iters left: 3 (155 enodes) 1538416916.748 * * [misc]simplify: iters left: 2 (369 enodes) 1538416916.941 * [exit]simplify: Simplified to (- (- (* (log PI) (- 1/2 (/ k 2))) (* (log (* 2 n)) (/ k 2))) (log (/ (sqrt k) (sqrt (* 2 n))))) 1538416916.941 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (* (log PI) (- 1/2 (/ k 2))) (* (log (* 2 n)) (/ k 2))) (log (/ (sqrt k) (sqrt (* 2 n))))))) 1538416916.941 * * * * [misc]progress: [ 73 / 137 ] simplifiying candidate # 1538416916.941 * * * * [misc]progress: [ 74 / 137 ] simplifiying candidate # 1538416916.941 * * * * [misc]progress: [ 75 / 137 ] simplifiying candidate # 1538416916.942 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1538416916.942 * * [misc]simplify: iters left: 6 (29 enodes) 1538416916.952 * * [misc]simplify: iters left: 5 (69 enodes) 1538416916.982 * * [misc]simplify: iters left: 4 (250 enodes) 1538416917.219 * [exit]simplify: Simplified to (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (- (/ k 2))) 3)) (* (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))))) 1538416917.219 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (- (/ k 2))) 3)) (* (* (* (sqrt k) k) (/ 1 (sqrt (* 2 n)))) (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))))))) 1538416917.220 * * * * [misc]progress: [ 76 / 137 ] simplifiying candidate # 1538416917.220 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ 1 (sqrt (* 2 n)))) (/ 1 (sqrt (* 2 n)))) (* (* (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416917.220 * * [misc]simplify: iters left: 6 (27 enodes) 1538416917.230 * * [misc]simplify: iters left: 5 (65 enodes) 1538416917.256 * * [misc]simplify: iters left: 4 (221 enodes) 1538416917.383 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)) 1538416917.383 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ 1 (sqrt (* 2 n))) 3)) (pow (/ (sqrt k) (pow (* 2 n) (/ (- k) 2))) 3)))) 1538416917.384 * * * * [misc]progress: [ 77 / 137 ] simplifiying candidate # 1538416917.384 * [enter]simplify: Simplifying (/ (* (* (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (* (log PI) (- 1/2 (/ k 2))))) (exp (* (log PI) (- 1/2 (/ k 2))))) (* (* (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416917.384 * * [misc]simplify: iters left: 6 (25 enodes) 1538416917.393 * * [misc]simplify: iters left: 5 (56 enodes) 1538416917.416 * * [misc]simplify: iters left: 4 (200 enodes) 1538416917.577 * [exit]simplify: Simplified to (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3) 1538416917.578 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (/ (pow PI (- 1/2 (/ k 2))) (/ (/ (sqrt k) (sqrt (* 2 n))) (pow (* 2 n) (- (/ k 2))))) 3))) 1538416917.578 * * * * [misc]progress: [ 78 / 137 ] simplifiying candidate # 1538416917.578 * * * * [misc]progress: [ 79 / 137 ] simplifiying candidate # 1538416917.578 * * * * [misc]progress: [ 80 / 137 ] simplifiying candidate # 1538416917.578 * * * * [misc]progress: [ 81 / 137 ] simplifiying candidate # 1538416917.578 * * * * [misc]progress: [ 82 / 137 ] simplifiying candidate # 1538416917.578 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538416917.578 * * [misc]simplify: iters left: 6 (12 enodes) 1538416917.580 * * [misc]simplify: iters left: 5 (21 enodes) 1538416917.583 * * [misc]simplify: iters left: 4 (25 enodes) 1538416917.586 * * [misc]simplify: iters left: 3 (36 enodes) 1538416917.591 * * [misc]simplify: iters left: 2 (41 enodes) 1538416917.596 * * [misc]simplify: iters left: 1 (51 enodes) 1538416917.602 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538416917.602 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416917.602 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416917.602 * * [misc]simplify: iters left: 6 (14 enodes) 1538416917.606 * * [misc]simplify: iters left: 5 (25 enodes) 1538416917.613 * * [misc]simplify: iters left: 4 (41 enodes) 1538416917.625 * * [misc]simplify: iters left: 3 (77 enodes) 1538416917.641 * * [misc]simplify: iters left: 2 (125 enodes) 1538416917.658 * * [misc]simplify: iters left: 1 (178 enodes) 1538416917.708 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416917.708 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416917.708 * * * * [misc]progress: [ 83 / 137 ] simplifiying candidate # 1538416917.709 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (* 2 n)))) 1538416917.709 * * [misc]simplify: iters left: 6 (12 enodes) 1538416917.713 * * [misc]simplify: iters left: 5 (21 enodes) 1538416917.718 * * [misc]simplify: iters left: 4 (25 enodes) 1538416917.725 * * [misc]simplify: iters left: 3 (36 enodes) 1538416917.734 * * [misc]simplify: iters left: 2 (41 enodes) 1538416917.742 * * [misc]simplify: iters left: 1 (51 enodes) 1538416917.750 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538416917.750 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416917.750 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416917.750 * * [misc]simplify: iters left: 6 (14 enodes) 1538416917.752 * * [misc]simplify: iters left: 5 (25 enodes) 1538416917.756 * * [misc]simplify: iters left: 4 (41 enodes) 1538416917.762 * * [misc]simplify: iters left: 3 (77 enodes) 1538416917.772 * * [misc]simplify: iters left: 2 (125 enodes) 1538416917.792 * * [misc]simplify: iters left: 1 (178 enodes) 1538416917.843 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1538416917.843 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1538416917.843 * * * * [misc]progress: [ 84 / 137 ] simplifiying candidate # 1538416917.844 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538416917.844 * * [misc]simplify: iters left: 6 (12 enodes) 1538416917.848 * * [misc]simplify: iters left: 5 (20 enodes) 1538416917.854 * * [misc]simplify: iters left: 4 (23 enodes) 1538416917.863 * * [misc]simplify: iters left: 3 (35 enodes) 1538416917.872 * * [misc]simplify: iters left: 2 (41 enodes) 1538416917.881 * * [misc]simplify: iters left: 1 (51 enodes) 1538416917.893 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538416917.893 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416917.894 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416917.894 * * [misc]simplify: iters left: 6 (14 enodes) 1538416917.897 * * [misc]simplify: iters left: 5 (24 enodes) 1538416917.901 * * [misc]simplify: iters left: 4 (45 enodes) 1538416917.907 * * [misc]simplify: iters left: 3 (80 enodes) 1538416917.917 * * [misc]simplify: iters left: 2 (122 enodes) 1538416917.940 * * [misc]simplify: iters left: 1 (177 enodes) 1538416917.973 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416917.973 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416917.973 * * * * [misc]progress: [ 85 / 137 ] simplifiying candidate # 1538416917.973 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (* 2 n)))) 1538416917.974 * * [misc]simplify: iters left: 6 (12 enodes) 1538416917.978 * * [misc]simplify: iters left: 5 (20 enodes) 1538416917.984 * * [misc]simplify: iters left: 4 (23 enodes) 1538416917.991 * * [misc]simplify: iters left: 3 (35 enodes) 1538416918.000 * * [misc]simplify: iters left: 2 (41 enodes) 1538416918.010 * * [misc]simplify: iters left: 1 (51 enodes) 1538416918.021 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* n 2))) 1538416918.021 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.022 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416918.022 * * [misc]simplify: iters left: 6 (14 enodes) 1538416918.026 * * [misc]simplify: iters left: 5 (24 enodes) 1538416918.033 * * [misc]simplify: iters left: 4 (45 enodes) 1538416918.040 * * [misc]simplify: iters left: 3 (80 enodes) 1538416918.051 * * [misc]simplify: iters left: 2 (122 enodes) 1538416918.080 * * [misc]simplify: iters left: 1 (177 enodes) 1538416918.118 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1538416918.118 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt PI) (sqrt (* n 2))) (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))))) 1538416918.118 * * * * [misc]progress: [ 86 / 137 ] simplifiying candidate # 1538416918.118 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 (sqrt (* 2 n)))) 1538416918.119 * * [misc]simplify: iters left: 6 (17 enodes) 1538416918.124 * * [misc]simplify: iters left: 5 (30 enodes) 1538416918.131 * * [misc]simplify: iters left: 4 (46 enodes) 1538416918.138 * * [misc]simplify: iters left: 3 (77 enodes) 1538416918.150 * * [misc]simplify: iters left: 2 (138 enodes) 1538416918.180 * * [misc]simplify: iters left: 1 (252 enodes) 1538416918.230 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1538416918.230 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.230 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416918.231 * * [misc]simplify: iters left: 6 (17 enodes) 1538416918.236 * * [misc]simplify: iters left: 5 (27 enodes) 1538416918.243 * * [misc]simplify: iters left: 4 (37 enodes) 1538416918.253 * * [misc]simplify: iters left: 3 (55 enodes) 1538416918.266 * * [misc]simplify: iters left: 2 (94 enodes) 1538416918.281 * * [misc]simplify: iters left: 1 (132 enodes) 1538416918.300 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416918.300 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416918.300 * * * * [misc]progress: [ 87 / 137 ] simplifiying candidate # 1538416918.300 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (* 2 n)))) 1538416918.300 * * [misc]simplify: iters left: 6 (16 enodes) 1538416918.305 * * [misc]simplify: iters left: 5 (27 enodes) 1538416918.312 * * [misc]simplify: iters left: 4 (39 enodes) 1538416918.324 * * [misc]simplify: iters left: 3 (65 enodes) 1538416918.342 * * [misc]simplify: iters left: 2 (105 enodes) 1538416918.367 * * [misc]simplify: iters left: 1 (146 enodes) 1538416918.398 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1538416918.398 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.399 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416918.399 * * [misc]simplify: iters left: 6 (17 enodes) 1538416918.404 * * [misc]simplify: iters left: 5 (27 enodes) 1538416918.414 * * [misc]simplify: iters left: 4 (37 enodes) 1538416918.424 * * [misc]simplify: iters left: 3 (55 enodes) 1538416918.435 * * [misc]simplify: iters left: 2 (94 enodes) 1538416918.448 * * [misc]simplify: iters left: 1 (132 enodes) 1538416918.463 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1538416918.463 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* n 2)) (sqrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1538416918.463 * * * * [misc]progress: [ 88 / 137 ] simplifiying candidate # 1538416918.463 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* 2 n)))) 1538416918.463 * * [misc]simplify: iters left: 6 (7 enodes) 1538416918.466 * * [misc]simplify: iters left: 5 (12 enodes) 1538416918.468 * * [misc]simplify: iters left: 4 (13 enodes) 1538416918.472 * * [misc]simplify: iters left: 3 (17 enodes) 1538416918.475 * [exit]simplify: Simplified to (sqrt (* n 2)) 1538416918.475 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* n 2)) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.476 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1538416918.476 * * [misc]simplify: iters left: 6 (16 enodes) 1538416918.480 * * [misc]simplify: iters left: 5 (26 enodes) 1538416918.487 * * [misc]simplify: iters left: 4 (36 enodes) 1538416918.496 * * [misc]simplify: iters left: 3 (54 enodes) 1538416918.509 * * [misc]simplify: iters left: 2 (99 enodes) 1538416918.535 * * [misc]simplify: iters left: 1 (149 enodes) 1538416918.573 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1538416918.573 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* n 2)) (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))))) 1538416918.573 * * * * [misc]progress: [ 89 / 137 ] simplifiying candidate # 1538416918.573 * * * * [misc]progress: [ 90 / 137 ] simplifiying candidate # 1538416918.573 * * * * [misc]progress: [ 91 / 137 ] simplifiying candidate # 1538416918.573 * * * * [misc]progress: [ 92 / 137 ] simplifiying candidate # 1538416918.574 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1538416918.574 * * [misc]simplify: iters left: 6 (9 enodes) 1538416918.576 * * [misc]simplify: iters left: 5 (12 enodes) 1538416918.580 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1538416918.580 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (sqrt (* 2 n)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))) 1538416918.580 * * * * [misc]progress: [ 93 / 137 ] simplifiying candidate # 1538416918.580 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538416918.580 * * [misc]simplify: iters left: 4 (5 enodes) 1538416918.582 * * [misc]simplify: iters left: 3 (9 enodes) 1538416918.583 * * [misc]simplify: iters left: 2 (11 enodes) 1538416918.585 * * [misc]simplify: iters left: 1 (13 enodes) 1538416918.586 * [exit]simplify: Simplified to (sqrt PI) 1538416918.586 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538416918.586 * * * * [misc]progress: [ 94 / 137 ] simplifiying candidate # 1538416918.587 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1538416918.587 * * [misc]simplify: iters left: 4 (5 enodes) 1538416918.587 * * [misc]simplify: iters left: 3 (9 enodes) 1538416918.589 * * [misc]simplify: iters left: 2 (11 enodes) 1538416918.590 * * [misc]simplify: iters left: 1 (13 enodes) 1538416918.591 * [exit]simplify: Simplified to (sqrt PI) 1538416918.592 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1538416918.592 * * * * [misc]progress: [ 95 / 137 ] simplifiying candidate # 1538416918.592 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538416918.592 * * [misc]simplify: iters left: 4 (5 enodes) 1538416918.593 * * [misc]simplify: iters left: 3 (8 enodes) 1538416918.594 * * [misc]simplify: iters left: 2 (9 enodes) 1538416918.596 * * [misc]simplify: iters left: 1 (12 enodes) 1538416918.597 * [exit]simplify: Simplified to (sqrt PI) 1538416918.597 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538416918.597 * * * * [misc]progress: [ 96 / 137 ] simplifiying candidate # 1538416918.598 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1538416918.598 * * [misc]simplify: iters left: 4 (5 enodes) 1538416918.599 * * [misc]simplify: iters left: 3 (8 enodes) 1538416918.600 * * [misc]simplify: iters left: 2 (9 enodes) 1538416918.601 * * [misc]simplify: iters left: 1 (12 enodes) 1538416918.603 * [exit]simplify: Simplified to (sqrt PI) 1538416918.603 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1538416918.603 * * * * [misc]progress: [ 97 / 137 ] simplifiying candidate # 1538416918.603 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1538416918.603 * * [misc]simplify: iters left: 6 (11 enodes) 1538416918.605 * * [misc]simplify: iters left: 5 (17 enodes) 1538416918.608 * * [misc]simplify: iters left: 4 (26 enodes) 1538416918.611 * * [misc]simplify: iters left: 3 (42 enodes) 1538416918.620 * * [misc]simplify: iters left: 2 (81 enodes) 1538416918.635 * * [misc]simplify: iters left: 1 (119 enodes) 1538416918.650 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1538416918.650 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538416918.650 * * * * [misc]progress: [ 98 / 137 ] simplifiying candidate # 1538416918.651 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1538416918.651 * * [misc]simplify: iters left: 6 (10 enodes) 1538416918.652 * * [misc]simplify: iters left: 5 (16 enodes) 1538416918.655 * * [misc]simplify: iters left: 4 (25 enodes) 1538416918.658 * * [misc]simplify: iters left: 3 (41 enodes) 1538416918.669 * * [misc]simplify: iters left: 2 (80 enodes) 1538416918.680 * * [misc]simplify: iters left: 1 (118 enodes) 1538416918.693 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1538416918.693 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1538416918.693 * * * * [misc]progress: [ 99 / 137 ] simplifiying candidate # 1538416918.693 * * * * [misc]progress: [ 100 / 137 ] simplifiying candidate # 1538416918.693 * [enter]simplify: Simplifying (* (sqrt (* 2 n)) (pow (* n 2) (- (/ k 2)))) 1538416918.693 * * [misc]simplify: iters left: 6 (10 enodes) 1538416918.695 * * [misc]simplify: iters left: 5 (13 enodes) 1538416918.697 * [exit]simplify: Simplified to (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))) 1538416918.697 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (sqrt k))) (* (pow (* 2 n) (- (/ k 2))) (sqrt (* 2 n))))) 1538416918.697 * * * * [misc]progress: [ 101 / 137 ] simplifiying candidate # 1538416918.697 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1538416918.697 * * [misc]simplify: iters left: 5 (7 enodes) 1538416918.698 * * [misc]simplify: iters left: 4 (10 enodes) 1538416918.699 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1538416918.700 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (sqrt k))) (pow (* n 2) (- (/ k 2))))) 1538416918.700 * * * * [misc]progress: [ 102 / 137 ] simplifiying candidate # 1538416918.700 * [enter]simplify: Simplifying (sqrt (* 2 n)) 1538416918.700 * * [misc]simplify: iters left: 3 (4 enodes) 1538416918.701 * * [misc]simplify: iters left: 2 (5 enodes) 1538416918.702 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1538416918.703 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))) (sqrt (* 2 n)))) 1538416918.703 * * * * [misc]progress: [ 103 / 137 ] simplifiying candidate # 1538416918.703 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1538416918.703 * * [misc]simplify: iters left: 6 (8 enodes) 1538416918.705 * * [misc]simplify: iters left: 5 (11 enodes) 1538416918.708 * * [misc]simplify: iters left: 4 (20 enodes) 1538416918.715 * * [misc]simplify: iters left: 3 (30 enodes) 1538416918.723 * * [misc]simplify: iters left: 2 (45 enodes) 1538416918.734 * * [misc]simplify: iters left: 1 (53 enodes) 1538416918.748 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1538416918.748 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (pow (* (- 1/2 (/ k 2)) (log PI)) 1)) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.748 * * * * [misc]progress: [ 104 / 137 ] simplifiying candidate # 1538416918.749 * * * * [misc]progress: [ 105 / 137 ] simplifiying candidate # 1538416918.749 * [enter]simplify: Simplifying (+ (log (log PI)) (log (- 1/2 (/ k 2)))) 1538416918.749 * * [misc]simplify: iters left: 6 (10 enodes) 1538416918.752 * * [misc]simplify: iters left: 5 (13 enodes) 1538416918.755 * * [misc]simplify: iters left: 4 (16 enodes) 1538416918.759 * [exit]simplify: Simplified to (+ (log (- 1/2 (/ k 2))) (log (log PI))) 1538416918.759 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (exp (+ (log (- 1/2 (/ k 2))) (log (log PI))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416918.759 * * * * [misc]progress: [ 106 / 137 ] simplifiying candidate # 1538416918.759 * * * * [misc]progress: [ 107 / 137 ] simplifiying candidate # 1538416918.759 * * * * [misc]progress: [ 108 / 137 ] simplifiying candidate # 1538416918.759 * [enter]simplify: Simplifying (* (* (* (log PI) (log PI)) (log PI)) (* (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2))) (- 1/2 (/ k 2)))) 1538416918.760 * * [misc]simplify: iters left: 6 (12 enodes) 1538416918.763 * * [misc]simplify: iters left: 5 (21 enodes) 1538416918.771 * * [misc]simplify: iters left: 4 (67 enodes) 1538416918.815 * * [misc]simplify: iters left: 3 (321 enodes) 1538416919.249 * [exit]simplify: Simplified to (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))) 1538416919.249 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (cbrt (* (* (- 1/2 (/ k 2)) (pow (log PI) 3)) (* (- 1/2 (/ k 2)) (- 1/2 (/ k 2)))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.249 * * * * [misc]progress: [ 109 / 137 ] simplifiying candidate # 1538416919.249 * * * * [misc]progress: [ 110 / 137 ] simplifiying candidate # 1538416919.249 * * * * [misc]progress: [ 111 / 137 ] simplifiying candidate # 1538416919.249 * * * * [misc]progress: [ 112 / 137 ] simplifiying candidate # 1538416919.249 * * * * [misc]progress: [ 113 / 137 ] simplifiying candidate # 1538416919.249 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538416919.249 * * [misc]simplify: iters left: 6 (7 enodes) 1538416919.252 * * [misc]simplify: iters left: 5 (12 enodes) 1538416919.255 * * [misc]simplify: iters left: 4 (22 enodes) 1538416919.261 * * [misc]simplify: iters left: 3 (35 enodes) 1538416919.269 * * [misc]simplify: iters left: 2 (42 enodes) 1538416919.279 * * [misc]simplify: iters left: 1 (47 enodes) 1538416919.289 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538416919.289 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.289 * * * * [misc]progress: [ 114 / 137 ] simplifiying candidate # 1538416919.289 * [enter]simplify: Simplifying (* (log PI) (- (/ k 2))) 1538416919.290 * * [misc]simplify: iters left: 6 (7 enodes) 1538416919.291 * * [misc]simplify: iters left: 5 (12 enodes) 1538416919.295 * * [misc]simplify: iters left: 4 (22 enodes) 1538416919.300 * * [misc]simplify: iters left: 3 (35 enodes) 1538416919.313 * * [misc]simplify: iters left: 2 (42 enodes) 1538416919.323 * * [misc]simplify: iters left: 1 (47 enodes) 1538416919.334 * [exit]simplify: Simplified to (* (- k) (/ (log PI) 2)) 1538416919.335 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* (log PI) 1/2) (* (- k) (/ (log PI) 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.335 * * * * [misc]progress: [ 115 / 137 ] simplifiying candidate # 1538416919.335 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538416919.335 * * [misc]simplify: iters left: 6 (7 enodes) 1538416919.336 * * [misc]simplify: iters left: 5 (12 enodes) 1538416919.338 * * [misc]simplify: iters left: 4 (22 enodes) 1538416919.341 * * [misc]simplify: iters left: 3 (32 enodes) 1538416919.345 * * [misc]simplify: iters left: 2 (36 enodes) 1538416919.349 * * [misc]simplify: iters left: 1 (43 enodes) 1538416919.355 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538416919.355 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.355 * * * * [misc]progress: [ 116 / 137 ] simplifiying candidate # 1538416919.355 * [enter]simplify: Simplifying (* (- (/ k 2)) (log PI)) 1538416919.355 * * [misc]simplify: iters left: 6 (7 enodes) 1538416919.356 * * [misc]simplify: iters left: 5 (12 enodes) 1538416919.358 * * [misc]simplify: iters left: 4 (22 enodes) 1538416919.361 * * [misc]simplify: iters left: 3 (32 enodes) 1538416919.365 * * [misc]simplify: iters left: 2 (36 enodes) 1538416919.369 * * [misc]simplify: iters left: 1 (43 enodes) 1538416919.375 * [exit]simplify: Simplified to (* (- (/ k 2)) (log PI)) 1538416919.375 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (+ (* 1/2 (log PI)) (* (- (/ k 2)) (log PI)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.375 * * * * [misc]progress: [ 117 / 137 ] simplifiying candidate # 1538416919.376 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1538416919.376 * * [misc]simplify: iters left: 5 (6 enodes) 1538416919.377 * * [misc]simplify: iters left: 4 (8 enodes) 1538416919.380 * * [misc]simplify: iters left: 3 (11 enodes) 1538416919.383 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1538416919.383 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.383 * * * * [misc]progress: [ 118 / 137 ] simplifiying candidate # 1538416919.383 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1538416919.383 * * [misc]simplify: iters left: 5 (6 enodes) 1538416919.385 * * [misc]simplify: iters left: 4 (8 enodes) 1538416919.387 * * [misc]simplify: iters left: 3 (11 enodes) 1538416919.390 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1538416919.390 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.390 * * * * [misc]progress: [ 119 / 137 ] simplifiying candidate # 1538416919.391 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1538416919.391 * * [misc]simplify: iters left: 4 (5 enodes) 1538416919.392 * * [misc]simplify: iters left: 3 (7 enodes) 1538416919.394 * * [misc]simplify: iters left: 2 (10 enodes) 1538416919.397 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1538416919.397 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (* (* (log PI) 1) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.397 * * * * [misc]progress: [ 120 / 137 ] simplifiying candidate # 1538416919.397 * [enter]simplify: Simplifying (* (cbrt (log PI)) (cbrt (log PI))) 1538416919.397 * * [misc]simplify: iters left: 4 (4 enodes) 1538416919.399 * [exit]simplify: Simplified to (* (cbrt (log PI)) (cbrt (log PI))) 1538416919.399 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (* (cbrt (log PI)) (cbrt (log PI))) (* (cbrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.399 * * * * [misc]progress: [ 121 / 137 ] simplifiying candidate # 1538416919.399 * [enter]simplify: Simplifying (sqrt (log PI)) 1538416919.399 * * [misc]simplify: iters left: 2 (3 enodes) 1538416919.400 * [exit]simplify: Simplified to (sqrt (log PI)) 1538416919.400 * [misc]simplify: Simplified (2 1 1 1) to (λ (k n) (/ (exp (* (sqrt (log PI)) (* (sqrt (log PI)) (- 1/2 (/ k 2))))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.400 * * * * [misc]progress: [ 122 / 137 ] simplifiying candidate # 1538416919.400 * * * * [misc]progress: [ 123 / 137 ] simplifiying candidate # 1538416919.400 * [enter]simplify: Simplifying (+ (* 1/2 1/2) (+ (* (/ k 2) (/ k 2)) (* 1/2 (/ k 2)))) 1538416919.400 * * [misc]simplify: iters left: 6 (9 enodes) 1538416919.405 * * [misc]simplify: iters left: 5 (23 enodes) 1538416919.413 * * [misc]simplify: iters left: 4 (47 enodes) 1538416919.428 * * [misc]simplify: iters left: 3 (69 enodes) 1538416919.446 * * [misc]simplify: iters left: 2 (82 enodes) 1538416919.463 * * [misc]simplify: iters left: 1 (105 enodes) 1538416919.497 * [exit]simplify: Simplified to (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)) 1538416919.497 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (pow 1/2 3) (pow (/ k 2) 3))) (+ (+ 1/4 (* k 1/4)) (/ (* k k) 4)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.497 * * * * [misc]progress: [ 124 / 137 ] simplifiying candidate # 1538416919.497 * [enter]simplify: Simplifying (+ 1/2 (/ k 2)) 1538416919.497 * * [misc]simplify: iters left: 4 (5 enodes) 1538416919.499 * * [misc]simplify: iters left: 3 (6 enodes) 1538416919.500 * [exit]simplify: Simplified to (+ (/ k 2) 1/2) 1538416919.500 * [misc]simplify: Simplified (2 1 1 2) to (λ (k n) (/ (exp (/ (* (log PI) (- (* 1/2 1/2) (* (/ k 2) (/ k 2)))) (+ (/ k 2) 1/2))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.501 * * * * [misc]progress: [ 125 / 137 ] simplifiying candidate # 1538416919.501 * * * * [misc]progress: [ 126 / 137 ] simplifiying candidate # 1538416919.501 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (sqrt 2))) (- (+ (* +nan.0 (/ n (sqrt 2))) (- (* +nan.0 (/ (pow n 2) (sqrt 2)))))))) 1538416919.501 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.501 * * * * [misc]progress: [ 127 / 137 ] simplifiying candidate # 1538416919.502 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (* +nan.0 (/ 1 (* (sqrt 2) n)))))))) 1538416919.502 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.502 * * * * [misc]progress: [ 128 / 137 ] simplifiying candidate # 1538416919.502 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow n 2))) (- (+ +nan.0 (- (* +nan.0 (/ 1 n))))))) 1538416919.502 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.502 * * * * [misc]progress: [ 129 / 137 ] simplifiying candidate # 1538416919.502 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* n (pow k 2)) (sqrt 2))) (- (+ (* +nan.0 (/ k (sqrt 2))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (sqrt 2)))))))))) 1538416919.502 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416919.502 * * * * [misc]progress: [ 130 / 137 ] simplifiying candidate # 1538416919.503 * [enter]simplify: Simplifying (* +nan.0 (/ k (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n)))) 1538416919.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416919.503 * * * * [misc]progress: [ 131 / 137 ] simplifiying candidate # 1538416919.503 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) n))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) k))) (- (* +nan.0 (/ 1 (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k)))))))))) 1538416919.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1538416919.503 * * * * [misc]progress: [ 132 / 137 ] simplifiying candidate # 1538416919.503 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log PI) k))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (log PI) (* (log n) (pow k 2))))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n k))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (pow (log n) 2) (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (* (pow (log 2) 2) (* (sqrt 2) (* n (pow k 2)))) (sqrt PI))) (- (+ (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* n (* (pow (log PI) 2) (pow k 2)))))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log PI) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (log 2) (* (sqrt 2) (* n (* (log n) (pow k 2))))) (sqrt PI))) (- (+ (* +nan.0 (* (* (sqrt 2) (* n (* (log n) k))) (sqrt PI))) (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))))))))))))))))))))) 1538416919.503 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416919.504 * * * * [misc]progress: [ 133 / 137 ] simplifiying candidate # 1538416919.504 * [enter]simplify: Simplifying (* +nan.0 (/ (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* n (pow PI (- 1/2 (* 1/2 k)))))) k)) 1538416919.504 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416919.504 * * * * [misc]progress: [ 134 / 137 ] simplifiying candidate # 1538416919.504 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) k)) (- (+ (* +nan.0 (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k))))) (- (* +nan.0 (/ (* (exp (* -1/2 (* (- (log -2) (log (/ -1 n))) k))) (pow PI (- 1/2 (* 1/2 k)))) n))))))) 1538416919.504 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1538416919.504 * * * * [misc]progress: [ 135 / 137 ] simplifiying candidate # 1538416919.504 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416919.505 * * [misc]simplify: iters left: 6 (8 enodes) 1538416919.507 * * [misc]simplify: iters left: 5 (16 enodes) 1538416919.510 * * [misc]simplify: iters left: 4 (36 enodes) 1538416919.516 * * [misc]simplify: iters left: 3 (60 enodes) 1538416919.525 * * [misc]simplify: iters left: 2 (72 enodes) 1538416919.535 * * [misc]simplify: iters left: 1 (87 enodes) 1538416919.552 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416919.552 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.552 * * * * [misc]progress: [ 136 / 137 ] simplifiying candidate # 1538416919.553 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416919.553 * * [misc]simplify: iters left: 6 (8 enodes) 1538416919.554 * * [misc]simplify: iters left: 5 (16 enodes) 1538416919.558 * * [misc]simplify: iters left: 4 (36 enodes) 1538416919.570 * * [misc]simplify: iters left: 3 (60 enodes) 1538416919.586 * * [misc]simplify: iters left: 2 (72 enodes) 1538416919.601 * * [misc]simplify: iters left: 1 (87 enodes) 1538416919.617 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416919.617 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.617 * * * * [misc]progress: [ 137 / 137 ] simplifiying candidate # 1538416919.618 * [enter]simplify: Simplifying (- (* 1/2 (log PI)) (* 1/2 (* (log PI) k))) 1538416919.618 * * [misc]simplify: iters left: 6 (8 enodes) 1538416919.619 * * [misc]simplify: iters left: 5 (16 enodes) 1538416919.622 * * [misc]simplify: iters left: 4 (36 enodes) 1538416919.632 * * [misc]simplify: iters left: 3 (60 enodes) 1538416919.648 * * [misc]simplify: iters left: 2 (72 enodes) 1538416919.665 * * [misc]simplify: iters left: 1 (87 enodes) 1538416919.688 * [exit]simplify: Simplified to (* (- 1/2 (* k 1/2)) (log PI)) 1538416919.688 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (* k 1/2)) (log PI))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))))) 1538416919.688 * * * [misc]progress: adding candidates to table 1538416921.891 * [misc]progress: [Phase 3 of 3] Extracting. 1538416921.891 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1538416921.893 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1538416921.893 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1538416921.969 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1538416922.061 * * * [misc]regime: Found split indices: #