1544092490.646 * [misc]progress: [Phase 1 of 3] Setting up. 1544092490.646 * * * [misc]progress: [1/2] Preparing points 1544092490.646 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1544092490.647 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1544092490.649 * * * * [misc]points: Setting MPFR precision to 64 1544092490.650 * * * * [misc]points: Setting MPFR precision to 320 1544092490.651 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1544092490.654 * * * * [misc]points: Setting MPFR precision to 64 1544092490.655 * * * * [misc]points: Setting MPFR precision to 320 1544092490.657 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1544092490.664 * * * * [misc]points: Setting MPFR precision to 64 1544092490.668 * * * * [misc]points: Setting MPFR precision to 320 1544092490.671 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1544092490.686 * * * * [misc]points: Setting MPFR precision to 64 1544092490.692 * * * * [misc]points: Setting MPFR precision to 320 1544092490.698 * * * * [misc]points: Computing exacts for 256 points 1544092490.705 * * * * [misc]points: Setting MPFR precision to 64 1544092490.723 * * * * [misc]points: Setting MPFR precision to 320 1544092490.740 * * * * [misc]points: Setting MPFR precision to 576 1544092490.759 * * * * [misc]points: Setting MPFR precision to 832 1544092490.779 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.800 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.822 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092490.822 * * * * [misc]points: Sampling 209 additional inputs, on iter 1 have 47 / 256 1544092490.824 * * * * [misc]points: Computing exacts on every 13 of 209 points to ramp up precision 1544092490.841 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.842 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.844 * * * * [misc]points: Computing exacts on every 6 of 209 points to ramp up precision 1544092490.881 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.882 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.885 * * * * [misc]points: Computing exacts on every 3 of 209 points to ramp up precision 1544092490.893 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.896 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.898 * * * * [misc]points: Computing exacts for 209 points 1544092490.906 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.921 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.931 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092490.931 * * * * [misc]points: Sampling 172 additional inputs, on iter 2 have 84 / 256 1544092490.932 * * * * [misc]points: Computing exacts on every 10 of 172 points to ramp up precision 1544092490.940 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.941 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.941 * * * * [misc]points: Computing exacts on every 5 of 172 points to ramp up precision 1544092490.949 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.950 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.951 * * * * [misc]points: Computing exacts on every 2 of 172 points to ramp up precision 1544092490.965 * * * * [misc]points: Setting MPFR precision to 1088 1544092490.968 * * * * [misc]points: Setting MPFR precision to 1344 1544092490.973 * * * * [misc]points: Computing exacts for 172 points 1544092490.990 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.003 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.016 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.016 * * * * [misc]points: Sampling 137 additional inputs, on iter 3 have 119 / 256 1544092491.017 * * * * [misc]points: Computing exacts on every 8 of 137 points to ramp up precision 1544092491.035 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.037 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.039 * * * * [misc]points: Computing exacts on every 4 of 137 points to ramp up precision 1544092491.067 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.069 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.071 * * * * [misc]points: Computing exacts on every 2 of 137 points to ramp up precision 1544092491.088 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.092 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.097 * * * * [misc]points: Computing exacts for 137 points 1544092491.113 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.123 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.136 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.136 * * * * [misc]points: Sampling 106 additional inputs, on iter 4 have 150 / 256 1544092491.137 * * * * [misc]points: Computing exacts on every 6 of 106 points to ramp up precision 1544092491.164 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.166 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.167 * * * * [misc]points: Computing exacts on every 3 of 106 points to ramp up precision 1544092491.177 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.179 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.180 * * * * [misc]points: Computing exacts for 106 points 1544092491.188 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.192 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.202 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.202 * * * * [misc]points: Sampling 85 additional inputs, on iter 5 have 171 / 256 1544092491.203 * * * * [misc]points: Computing exacts on every 5 of 85 points to ramp up precision 1544092491.211 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.212 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.212 * * * * [misc]points: Computing exacts on every 2 of 85 points to ramp up precision 1544092491.220 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.222 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.223 * * * * [misc]points: Computing exacts for 85 points 1544092491.231 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.235 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.243 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.243 * * * * [misc]points: Sampling 67 additional inputs, on iter 6 have 189 / 256 1544092491.243 * * * * [misc]points: Computing exacts on every 4 of 67 points to ramp up precision 1544092491.252 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.253 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.254 * * * * [misc]points: Computing exacts on every 2 of 67 points to ramp up precision 1544092491.269 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.270 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.272 * * * * [misc]points: Computing exacts for 67 points 1544092491.280 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.283 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.290 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.290 * * * * [misc]points: Sampling 51 additional inputs, on iter 7 have 205 / 256 1544092491.290 * * * * [misc]points: Computing exacts on every 3 of 51 points to ramp up precision 1544092491.299 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.299 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.300 * * * * [misc]points: Computing exacts for 51 points 1544092491.310 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.312 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.315 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.315 * * * * [misc]points: Sampling 38 additional inputs, on iter 8 have 218 / 256 1544092491.315 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision 1544092491.323 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.324 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.325 * * * * [misc]points: Computing exacts for 38 points 1544092491.338 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.340 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.342 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.342 * * * * [misc]points: Sampling 29 additional inputs, on iter 9 have 227 / 256 1544092491.342 * * * * [misc]points: Computing exacts for 29 points 1544092491.350 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.352 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.353 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.353 * * * * [misc]points: Sampling 25 additional inputs, on iter 10 have 231 / 256 1544092491.353 * * * * [misc]points: Computing exacts for 25 points 1544092491.361 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.362 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.363 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.363 * * * * [misc]points: Sampling 20 additional inputs, on iter 11 have 236 / 256 1544092491.364 * * * * [misc]points: Computing exacts for 20 points 1544092491.376 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.377 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.377 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.378 * * * * [misc]points: Sampling 18 additional inputs, on iter 12 have 238 / 256 1544092491.378 * * * * [misc]points: Computing exacts for 18 points 1544092491.386 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.387 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.388 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.388 * * * * [misc]points: Sampling 13 additional inputs, on iter 13 have 243 / 256 1544092491.388 * * * * [misc]points: Computing exacts for 13 points 1544092491.396 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.398 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.399 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.399 * * * * [misc]points: Sampling 9 additional inputs, on iter 14 have 247 / 256 1544092491.399 * * * * [misc]points: Computing exacts for 9 points 1544092491.422 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.423 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.424 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.424 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1544092491.424 * * * * [misc]points: Computing exacts for 8 points 1544092491.441 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.442 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.443 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.444 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1544092491.444 * * * * [misc]points: Computing exacts for 7 points 1544092491.460 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.461 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.462 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.462 * * * * [misc]points: Sampling 7 additional inputs, on iter 17 have 249 / 256 1544092491.462 * * * * [misc]points: Computing exacts for 7 points 1544092491.483 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.483 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.484 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.484 * * * * [misc]points: Sampling 6 additional inputs, on iter 18 have 250 / 256 1544092491.484 * * * * [misc]points: Computing exacts for 6 points 1544092491.501 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.502 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.502 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.502 * * * * [misc]points: Sampling 6 additional inputs, on iter 19 have 250 / 256 1544092491.502 * * * * [misc]points: Computing exacts for 6 points 1544092491.519 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.520 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.520 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.520 * * * * [misc]points: Sampling 5 additional inputs, on iter 20 have 251 / 256 1544092491.521 * * * * [misc]points: Computing exacts for 5 points 1544092491.541 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.542 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.543 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.543 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1544092491.543 * * * * [misc]points: Computing exacts for 4 points 1544092491.551 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.551 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.552 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.552 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 253 / 256 1544092491.552 * * * * [misc]points: Computing exacts for 4 points 1544092491.560 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.560 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.561 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.561 * * * * [misc]points: Sampling 4 additional inputs, on iter 23 have 253 / 256 1544092491.561 * * * * [misc]points: Computing exacts for 4 points 1544092491.571 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.571 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.572 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.572 * * * * [misc]points: Sampling 4 additional inputs, on iter 24 have 254 / 256 1544092491.572 * * * * [misc]points: Computing exacts for 4 points 1544092491.580 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.580 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.580 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.580 * * * * [misc]points: Sampling 4 additional inputs, on iter 25 have 254 / 256 1544092491.581 * * * * [misc]points: Computing exacts for 4 points 1544092491.590 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.591 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.591 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.591 * * * * [misc]points: Sampling 4 additional inputs, on iter 26 have 255 / 256 1544092491.592 * * * * [misc]points: Computing exacts for 4 points 1544092491.610 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.611 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.612 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.612 * * * * [misc]points: Sampling 4 additional inputs, on iter 27 have 255 / 256 1544092491.612 * * * * [misc]points: Computing exacts for 4 points 1544092491.629 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.629 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.630 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.630 * * * * [misc]points: Sampling 4 additional inputs, on iter 28 have 255 / 256 1544092491.630 * * * * [misc]points: Computing exacts for 4 points 1544092491.641 * * * * [misc]points: Setting MPFR precision to 1088 1544092491.641 * * * * [misc]points: Setting MPFR precision to 1344 1544092491.641 * * * * [misc]points: Filtering points with unrepresentable outputs 1544092491.641 * * * * [exit]points: Sampled 257 points with exact outputs 1544092491.641 * * * [misc]progress: [2/2] Setting up program. 1544092491.644 * [misc]progress: [Phase 2 of 3] Improving. 1544092491.644 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1544092491.644 * * [misc]simplify: iters left: 6 (13 enodes) 1544092491.647 * * [misc]simplify: iters left: 5 (28 enodes) 1544092491.651 * * [misc]simplify: iters left: 4 (44 enodes) 1544092491.657 * * [misc]simplify: iters left: 3 (54 enodes) 1544092491.663 * * [misc]simplify: iters left: 2 (57 enodes) 1544092491.678 * * [misc]simplify: iters left: 1 (65 enodes) 1544092491.693 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544092491.706 * * [misc]progress: iteration 1 / 4 1544092491.706 * * * [misc]progress: picking best candidate 1544092491.716 * * * * [misc]pick: Picked # 1544092491.716 * * * [misc]progress: localizing error 1544092491.745 * * * [misc]progress: generating rewritten candidates 1544092491.745 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1544092491.749 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1544092491.757 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) 1544092491.760 * * * [misc]progress: generating series expansions 1544092491.760 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1544092491.760 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1544092491.760 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1544092491.760 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.760 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.760 * [misc]taylor: Taking taylor expansion of k in k 1544092491.760 * [misc]backup-simplify: Simplify 0 into 0 1544092491.760 * [misc]backup-simplify: Simplify 1 into 1 1544092491.760 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.760 * [misc]backup-simplify: Simplify 2 into 2 1544092491.760 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544092491.760 * [misc]taylor: Taking taylor expansion of n in k 1544092491.760 * [misc]backup-simplify: Simplify n into n 1544092491.760 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.760 * [misc]backup-simplify: Simplify PI into PI 1544092491.760 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544092491.760 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544092491.761 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544092491.761 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092491.761 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.761 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.761 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544092491.761 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544092491.761 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.761 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.761 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.761 * [misc]taylor: Taking taylor expansion of k in n 1544092491.761 * [misc]backup-simplify: Simplify k into k 1544092491.761 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.761 * [misc]backup-simplify: Simplify 2 into 2 1544092491.761 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092491.761 * [misc]taylor: Taking taylor expansion of n in n 1544092491.761 * [misc]backup-simplify: Simplify 0 into 0 1544092491.761 * [misc]backup-simplify: Simplify 1 into 1 1544092491.761 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.761 * [misc]backup-simplify: Simplify PI into PI 1544092491.762 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092491.762 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092491.762 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092491.763 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544092491.763 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.763 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092491.763 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092491.763 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092491.764 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.764 * [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)))) 1544092491.764 * [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))))) 1544092491.764 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544092491.764 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544092491.764 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544092491.764 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092491.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.764 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.764 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092491.764 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.765 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.765 * [misc]taylor: Taking taylor expansion of k in n 1544092491.765 * [misc]backup-simplify: Simplify k into k 1544092491.765 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544092491.765 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092491.765 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.765 * [misc]backup-simplify: Simplify 2 into 2 1544092491.765 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092491.765 * [misc]taylor: Taking taylor expansion of n in n 1544092491.765 * [misc]backup-simplify: Simplify 0 into 0 1544092491.765 * [misc]backup-simplify: Simplify 1 into 1 1544092491.765 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.765 * [misc]backup-simplify: Simplify PI into PI 1544092491.765 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092491.765 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092491.765 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092491.766 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544092491.766 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.766 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092491.766 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092491.766 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092491.767 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.767 * [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)))) 1544092491.767 * [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))))) 1544092491.767 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544092491.767 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544092491.767 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.768 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.768 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.768 * [misc]taylor: Taking taylor expansion of k in k 1544092491.768 * [misc]backup-simplify: Simplify 0 into 0 1544092491.768 * [misc]backup-simplify: Simplify 1 into 1 1544092491.768 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of n in k 1544092491.768 * [misc]backup-simplify: Simplify n into n 1544092491.768 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092491.768 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544092491.768 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.768 * [misc]backup-simplify: Simplify 2 into 2 1544092491.768 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.768 * [misc]backup-simplify: Simplify PI into PI 1544092491.768 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092491.768 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.768 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092491.768 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.769 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.769 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.769 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544092491.770 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544092491.770 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544092491.771 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544092491.771 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544092491.773 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092491.773 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544092491.773 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.773 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.774 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.774 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544092491.775 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092491.775 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.775 * [misc]backup-simplify: Simplify 0 into 0 1544092491.775 * [misc]backup-simplify: Simplify 0 into 0 1544092491.779 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544092491.780 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544092491.781 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092491.781 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.782 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092491.782 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092491.782 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092491.782 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544092491.783 * [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))))))) 1544092491.784 * [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))))))) 1544092491.785 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092491.786 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544092491.790 * [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 1544092491.791 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544092491.791 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.791 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.791 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.792 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544092491.794 * [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 1544092491.795 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.795 * [misc]backup-simplify: Simplify 0 into 0 1544092491.795 * [misc]backup-simplify: Simplify 0 into 0 1544092491.795 * [misc]backup-simplify: Simplify 0 into 0 1544092491.796 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544092491.797 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092491.802 * [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 1544092491.802 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.803 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092491.803 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.803 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544092491.806 * [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))))) 1544092491.808 * [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))))) 1544092491.814 * [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))))) 1544092491.814 * [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)))) 1544092491.815 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544092491.815 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.815 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.815 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.815 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of k in k 1544092491.815 * [misc]backup-simplify: Simplify 0 into 0 1544092491.815 * [misc]backup-simplify: Simplify 1 into 1 1544092491.815 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.815 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.815 * [misc]backup-simplify: Simplify 2 into 2 1544092491.815 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544092491.815 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.815 * [misc]backup-simplify: Simplify PI into PI 1544092491.815 * [misc]taylor: Taking taylor expansion of n in k 1544092491.815 * [misc]backup-simplify: Simplify n into n 1544092491.815 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544092491.816 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544092491.816 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544092491.816 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092491.816 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092491.816 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092491.816 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544092491.817 * [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)))) 1544092491.817 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.817 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.817 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.817 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of k in n 1544092491.817 * [misc]backup-simplify: Simplify k into k 1544092491.817 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.817 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.817 * [misc]backup-simplify: Simplify 2 into 2 1544092491.817 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092491.817 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.817 * [misc]backup-simplify: Simplify PI into PI 1544092491.817 * [misc]taylor: Taking taylor expansion of n in n 1544092491.817 * [misc]backup-simplify: Simplify 0 into 0 1544092491.817 * [misc]backup-simplify: Simplify 1 into 1 1544092491.818 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092491.818 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092491.818 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.818 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092491.818 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092491.819 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092491.819 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092491.820 * [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))) 1544092491.820 * [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)))) 1544092491.821 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.821 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.821 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.821 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of k in n 1544092491.821 * [misc]backup-simplify: Simplify k into k 1544092491.821 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.821 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.821 * [misc]backup-simplify: Simplify 2 into 2 1544092491.821 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092491.821 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.821 * [misc]backup-simplify: Simplify PI into PI 1544092491.821 * [misc]taylor: Taking taylor expansion of n in n 1544092491.821 * [misc]backup-simplify: Simplify 0 into 0 1544092491.821 * [misc]backup-simplify: Simplify 1 into 1 1544092491.821 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092491.822 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092491.822 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.822 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092491.822 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092491.822 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092491.823 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092491.824 * [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))) 1544092491.824 * [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)))) 1544092491.824 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544092491.824 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544092491.824 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.825 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.825 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of k in k 1544092491.825 * [misc]backup-simplify: Simplify 0 into 0 1544092491.825 * [misc]backup-simplify: Simplify 1 into 1 1544092491.825 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.825 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544092491.825 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.825 * [misc]backup-simplify: Simplify 2 into 2 1544092491.825 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.825 * [misc]backup-simplify: Simplify PI into PI 1544092491.825 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092491.826 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.826 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092491.826 * [misc]taylor: Taking taylor expansion of n in k 1544092491.826 * [misc]backup-simplify: Simplify n into n 1544092491.826 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092491.826 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092491.826 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092491.826 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092491.827 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092491.827 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544092491.828 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544092491.828 * [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)))) 1544092491.829 * [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)))) 1544092491.830 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092491.831 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544092491.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092491.834 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092491.834 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092491.834 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.834 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.835 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092491.835 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544092491.837 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092491.837 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.837 * [misc]backup-simplify: Simplify 0 into 0 1544092491.837 * [misc]backup-simplify: Simplify 0 into 0 1544092491.837 * [misc]backup-simplify: Simplify 0 into 0 1544092491.839 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092491.840 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092491.844 * [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 1544092491.845 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092491.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092491.845 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.845 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.846 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092491.847 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544092491.849 * [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 1544092491.849 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.849 * [misc]backup-simplify: Simplify 0 into 0 1544092491.849 * [misc]backup-simplify: Simplify 0 into 0 1544092491.849 * [misc]backup-simplify: Simplify 0 into 0 1544092491.849 * [misc]backup-simplify: Simplify 0 into 0 1544092491.851 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092491.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092491.860 * [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 1544092491.861 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092491.861 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092491.861 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.862 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.862 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092491.863 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544092491.867 * [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 1544092491.867 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.867 * [misc]backup-simplify: Simplify 0 into 0 1544092491.867 * [misc]backup-simplify: Simplify 0 into 0 1544092491.868 * [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))))) 1544092491.868 * [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)) 1544092491.868 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544092491.868 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.868 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of k in k 1544092491.868 * [misc]backup-simplify: Simplify 0 into 0 1544092491.868 * [misc]backup-simplify: Simplify 1 into 1 1544092491.868 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.868 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.868 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.868 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544092491.868 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544092491.869 * [misc]taylor: Taking taylor expansion of -2 in k 1544092491.869 * [misc]backup-simplify: Simplify -2 into -2 1544092491.869 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544092491.869 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.869 * [misc]backup-simplify: Simplify PI into PI 1544092491.869 * [misc]taylor: Taking taylor expansion of n in k 1544092491.869 * [misc]backup-simplify: Simplify n into n 1544092491.869 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544092491.869 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544092491.869 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544092491.869 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092491.869 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.869 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544092491.870 * [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))) 1544092491.870 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.870 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of k in n 1544092491.870 * [misc]backup-simplify: Simplify k into k 1544092491.870 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.870 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.870 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.870 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of -2 in n 1544092491.870 * [misc]backup-simplify: Simplify -2 into -2 1544092491.870 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092491.870 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.870 * [misc]backup-simplify: Simplify PI into PI 1544092491.870 * [misc]taylor: Taking taylor expansion of n in n 1544092491.870 * [misc]backup-simplify: Simplify 0 into 0 1544092491.870 * [misc]backup-simplify: Simplify 1 into 1 1544092491.871 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092491.871 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092491.871 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092491.871 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092491.872 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092491.872 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092491.873 * [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))) 1544092491.873 * [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)))) 1544092491.874 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.874 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of k in n 1544092491.874 * [misc]backup-simplify: Simplify k into k 1544092491.874 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.874 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.874 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.874 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of -2 in n 1544092491.874 * [misc]backup-simplify: Simplify -2 into -2 1544092491.874 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092491.874 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.874 * [misc]backup-simplify: Simplify PI into PI 1544092491.874 * [misc]taylor: Taking taylor expansion of n in n 1544092491.874 * [misc]backup-simplify: Simplify 0 into 0 1544092491.874 * [misc]backup-simplify: Simplify 1 into 1 1544092491.874 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092491.875 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092491.875 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092491.875 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092491.875 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092491.876 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092491.877 * [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))) 1544092491.877 * [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)))) 1544092491.877 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544092491.877 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.878 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of k in k 1544092491.878 * [misc]backup-simplify: Simplify 0 into 0 1544092491.878 * [misc]backup-simplify: Simplify 1 into 1 1544092491.878 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.878 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.878 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544092491.878 * [misc]taylor: Taking taylor expansion of -2 in k 1544092491.878 * [misc]backup-simplify: Simplify -2 into -2 1544092491.878 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.878 * [misc]backup-simplify: Simplify PI into PI 1544092491.878 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092491.879 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092491.879 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092491.879 * [misc]taylor: Taking taylor expansion of n in k 1544092491.879 * [misc]backup-simplify: Simplify n into n 1544092491.879 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092491.879 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092491.881 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.881 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092491.881 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544092491.882 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544092491.882 * [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)))) 1544092491.883 * [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)))) 1544092491.884 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092491.885 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544092491.887 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544092491.888 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092491.888 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092491.888 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.889 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092491.889 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544092491.891 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092491.891 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.891 * [misc]backup-simplify: Simplify 0 into 0 1544092491.891 * [misc]backup-simplify: Simplify 0 into 0 1544092491.891 * [misc]backup-simplify: Simplify 0 into 0 1544092491.892 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092491.893 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092491.898 * [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 1544092491.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092491.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092491.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092491.900 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544092491.903 * [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 1544092491.903 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.903 * [misc]backup-simplify: Simplify 0 into 0 1544092491.903 * [misc]backup-simplify: Simplify 0 into 0 1544092491.903 * [misc]backup-simplify: Simplify 0 into 0 1544092491.903 * [misc]backup-simplify: Simplify 0 into 0 1544092491.905 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092491.906 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092491.915 * [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 1544092491.915 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092491.915 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092491.916 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.916 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092491.917 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1544092491.921 * [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 1544092491.921 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.921 * [misc]backup-simplify: Simplify 0 into 0 1544092491.921 * [misc]backup-simplify: Simplify 0 into 0 1544092491.922 * [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))))) 1544092491.922 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1544092491.922 * [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)))) 1544092491.922 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1544092491.922 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1544092491.922 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092491.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.922 * [misc]taylor: Taking taylor expansion of k in k 1544092491.922 * [misc]backup-simplify: Simplify 0 into 0 1544092491.922 * [misc]backup-simplify: Simplify 1 into 1 1544092491.923 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.923 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092491.924 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092491.924 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.924 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.924 * [misc]taylor: Taking taylor expansion of k in k 1544092491.924 * [misc]backup-simplify: Simplify 0 into 0 1544092491.924 * [misc]backup-simplify: Simplify 1 into 1 1544092491.924 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.924 * [misc]backup-simplify: Simplify 2 into 2 1544092491.924 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1544092491.924 * [misc]taylor: Taking taylor expansion of n in k 1544092491.924 * [misc]backup-simplify: Simplify n into n 1544092491.924 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.924 * [misc]backup-simplify: Simplify PI into PI 1544092491.924 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1544092491.924 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1544092491.924 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1544092491.925 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092491.925 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.925 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.925 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1544092491.925 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1544092491.925 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544092491.925 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092491.925 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.925 * [misc]taylor: Taking taylor expansion of k in n 1544092491.925 * [misc]backup-simplify: Simplify k into k 1544092491.925 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.925 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092491.925 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092491.926 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092491.926 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.926 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.926 * [misc]taylor: Taking taylor expansion of k in n 1544092491.926 * [misc]backup-simplify: Simplify k into k 1544092491.926 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.926 * [misc]backup-simplify: Simplify 2 into 2 1544092491.926 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092491.926 * [misc]taylor: Taking taylor expansion of n in n 1544092491.926 * [misc]backup-simplify: Simplify 0 into 0 1544092491.926 * [misc]backup-simplify: Simplify 1 into 1 1544092491.926 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.926 * [misc]backup-simplify: Simplify PI into PI 1544092491.926 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092491.927 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092491.927 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092491.928 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544092491.928 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.928 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092491.929 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092491.929 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092491.929 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.930 * [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)))) 1544092491.930 * [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))))) 1544092491.930 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of k in n 1544092491.931 * [misc]backup-simplify: Simplify k into k 1544092491.931 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092491.931 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092491.931 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092491.931 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092491.931 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.931 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092491.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.931 * [misc]taylor: Taking taylor expansion of k in n 1544092491.931 * [misc]backup-simplify: Simplify k into k 1544092491.931 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of 2 in n 1544092491.931 * [misc]backup-simplify: Simplify 2 into 2 1544092491.931 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092491.931 * [misc]taylor: Taking taylor expansion of n in n 1544092491.931 * [misc]backup-simplify: Simplify 0 into 0 1544092491.931 * [misc]backup-simplify: Simplify 1 into 1 1544092491.931 * [misc]taylor: Taking taylor expansion of PI in n 1544092491.932 * [misc]backup-simplify: Simplify PI into PI 1544092491.932 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092491.932 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092491.932 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092491.933 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544092491.934 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.934 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092491.934 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092491.934 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092491.934 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.935 * [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)))) 1544092491.936 * [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))))) 1544092491.936 * [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))) 1544092491.936 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1544092491.936 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1544092491.936 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.937 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092491.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092491.937 * [misc]taylor: Taking taylor expansion of k in k 1544092491.937 * [misc]backup-simplify: Simplify 0 into 0 1544092491.937 * [misc]backup-simplify: Simplify 1 into 1 1544092491.937 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of n in k 1544092491.937 * [misc]backup-simplify: Simplify n into n 1544092491.937 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092491.937 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544092491.937 * [misc]taylor: Taking taylor expansion of 2 in k 1544092491.937 * [misc]backup-simplify: Simplify 2 into 2 1544092491.937 * [misc]taylor: Taking taylor expansion of PI in k 1544092491.937 * [misc]backup-simplify: Simplify PI into PI 1544092491.937 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092491.938 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092491.938 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092491.938 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.938 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092491.939 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.939 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1544092491.940 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1544092491.940 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092491.940 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092491.940 * [misc]taylor: Taking taylor expansion of k in k 1544092491.940 * [misc]backup-simplify: Simplify 0 into 0 1544092491.940 * [misc]backup-simplify: Simplify 1 into 1 1544092491.940 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092491.940 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092491.943 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092491.943 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1544092491.944 * [misc]backup-simplify: Simplify 0 into 0 1544092491.945 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544092491.946 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544092491.948 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092491.949 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544092491.949 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.949 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.950 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.950 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1544092491.952 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092491.953 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1544092491.953 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.953 * [misc]backup-simplify: Simplify 0 into 0 1544092491.953 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544092491.954 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544092491.957 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092491.957 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.957 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092491.957 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092491.957 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092491.958 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1544092491.960 * [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))))))) 1544092491.961 * [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))))))) 1544092491.962 * [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))))))) 1544092491.964 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092491.966 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544092491.971 * [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 1544092491.971 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544092491.971 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.971 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.972 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092491.973 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544092491.975 * [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 1544092491.976 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092491.977 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1544092491.977 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1544092491.977 * [misc]taylor: Taking taylor expansion of 0 in k 1544092491.977 * [misc]backup-simplify: Simplify 0 into 0 1544092491.977 * [misc]backup-simplify: Simplify 0 into 0 1544092491.978 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092491.979 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092491.980 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544092491.981 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092491.986 * [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 1544092491.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.987 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092491.987 * [misc]backup-simplify: Simplify (- 0) into 0 1544092491.987 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092491.988 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1544092491.990 * [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))))) 1544092491.995 * [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)))))))) 1544092491.997 * [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)))))))) 1544092491.999 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544092492.001 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544092492.005 * [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 1544092492.006 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1544092492.006 * [misc]backup-simplify: Simplify (- 0) into 0 1544092492.006 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.006 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1544092492.007 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544092492.009 * [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 1544092492.009 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092492.009 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1544092492.010 * [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 1544092492.010 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.010 * [misc]backup-simplify: Simplify 0 into 0 1544092492.010 * [misc]backup-simplify: Simplify 0 into 0 1544092492.010 * [misc]backup-simplify: Simplify 0 into 0 1544092492.010 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.011 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092492.013 * [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 1544092492.014 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092492.018 * [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 1544092492.019 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.019 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092492.019 * [misc]backup-simplify: Simplify (- 0) into 0 1544092492.019 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.020 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1544092492.024 * [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))))))) 1544092492.032 * [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)))))))))))))) 1544092492.039 * [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)))))))))))))) 1544092492.049 * [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)))))))))))))))))))))) 1544092492.050 * [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))))) 1544092492.050 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1544092492.050 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092492.050 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092492.050 * [misc]taylor: Taking taylor expansion of k in k 1544092492.050 * [misc]backup-simplify: Simplify 0 into 0 1544092492.050 * [misc]backup-simplify: Simplify 1 into 1 1544092492.050 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092492.051 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092492.051 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.051 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.051 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.051 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of k in k 1544092492.051 * [misc]backup-simplify: Simplify 0 into 0 1544092492.051 * [misc]backup-simplify: Simplify 1 into 1 1544092492.051 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092492.051 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1544092492.051 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1544092492.052 * [misc]taylor: Taking taylor expansion of 2 in k 1544092492.052 * [misc]backup-simplify: Simplify 2 into 2 1544092492.052 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544092492.052 * [misc]taylor: Taking taylor expansion of PI in k 1544092492.052 * [misc]backup-simplify: Simplify PI into PI 1544092492.052 * [misc]taylor: Taking taylor expansion of n in k 1544092492.052 * [misc]backup-simplify: Simplify n into n 1544092492.052 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544092492.052 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1544092492.052 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1544092492.052 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092492.052 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092492.052 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092492.052 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1544092492.053 * [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)))) 1544092492.053 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of k in n 1544092492.053 * [misc]backup-simplify: Simplify k into k 1544092492.053 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092492.053 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092492.053 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.053 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.053 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.053 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of k in n 1544092492.053 * [misc]backup-simplify: Simplify k into k 1544092492.053 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092492.053 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.053 * [misc]backup-simplify: Simplify 2 into 2 1544092492.053 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.053 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.053 * [misc]backup-simplify: Simplify PI into PI 1544092492.054 * [misc]taylor: Taking taylor expansion of n in n 1544092492.054 * [misc]backup-simplify: Simplify 0 into 0 1544092492.054 * [misc]backup-simplify: Simplify 1 into 1 1544092492.054 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.054 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.055 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092492.055 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092492.055 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092492.055 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092492.056 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092492.056 * [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))) 1544092492.057 * [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)))) 1544092492.057 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of k in n 1544092492.057 * [misc]backup-simplify: Simplify k into k 1544092492.057 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092492.057 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092492.057 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.057 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.057 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.057 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of k in n 1544092492.057 * [misc]backup-simplify: Simplify k into k 1544092492.057 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092492.057 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1544092492.057 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092492.058 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.058 * [misc]backup-simplify: Simplify 2 into 2 1544092492.058 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.058 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.058 * [misc]backup-simplify: Simplify PI into PI 1544092492.058 * [misc]taylor: Taking taylor expansion of n in n 1544092492.058 * [misc]backup-simplify: Simplify 0 into 0 1544092492.058 * [misc]backup-simplify: Simplify 1 into 1 1544092492.058 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.058 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.059 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092492.059 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092492.059 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092492.059 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092492.060 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092492.060 * [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))) 1544092492.061 * [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)))) 1544092492.062 * [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)) 1544092492.062 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.062 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.062 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.062 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of k in k 1544092492.062 * [misc]backup-simplify: Simplify 0 into 0 1544092492.062 * [misc]backup-simplify: Simplify 1 into 1 1544092492.062 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092492.062 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1544092492.062 * [misc]taylor: Taking taylor expansion of 2 in k 1544092492.062 * [misc]backup-simplify: Simplify 2 into 2 1544092492.062 * [misc]taylor: Taking taylor expansion of PI in k 1544092492.062 * [misc]backup-simplify: Simplify PI into PI 1544092492.063 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.063 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1544092492.063 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092492.063 * [misc]taylor: Taking taylor expansion of n in k 1544092492.063 * [misc]backup-simplify: Simplify n into n 1544092492.063 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092492.063 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092492.064 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092492.064 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092492.064 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092492.064 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1544092492.065 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1544092492.065 * [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)))) 1544092492.066 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092492.066 * [misc]taylor: Taking taylor expansion of k in k 1544092492.066 * [misc]backup-simplify: Simplify 0 into 0 1544092492.066 * [misc]backup-simplify: Simplify 1 into 1 1544092492.066 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092492.066 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092492.067 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1544092492.067 * [misc]backup-simplify: Simplify 0 into 0 1544092492.068 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092492.069 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544092492.072 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1544092492.072 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092492.072 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092492.072 * [misc]backup-simplify: Simplify (- 0) into 0 1544092492.072 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.073 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092492.074 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1544092492.075 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092492.076 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1544092492.076 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.076 * [misc]backup-simplify: Simplify 0 into 0 1544092492.076 * [misc]backup-simplify: Simplify 0 into 0 1544092492.077 * [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)))))) 1544092492.078 * [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)))))) 1544092492.079 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.080 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092492.085 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1544092492.085 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092492.086 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092492.086 * [misc]backup-simplify: Simplify (- 0) into 0 1544092492.086 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.088 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092492.089 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1544092492.092 * [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 1544092492.092 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1544092492.093 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1544092492.093 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.093 * [misc]backup-simplify: Simplify 0 into 0 1544092492.093 * [misc]backup-simplify: Simplify 0 into 0 1544092492.093 * [misc]backup-simplify: Simplify 0 into 0 1544092492.095 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092492.095 * [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)))))) 1544092492.096 * [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)))))) 1544092492.097 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.098 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092492.102 * [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 1544092492.103 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092492.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092492.103 * [misc]backup-simplify: Simplify (- 0) into 0 1544092492.103 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.104 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1544092492.104 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1544092492.106 * [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 1544092492.107 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1544092492.107 * [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 1544092492.107 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.107 * [misc]backup-simplify: Simplify 0 into 0 1544092492.107 * [misc]backup-simplify: Simplify 0 into 0 1544092492.107 * [misc]backup-simplify: Simplify 0 into 0 1544092492.107 * [misc]backup-simplify: Simplify 0 into 0 1544092492.108 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092492.109 * [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)))))) 1544092492.109 * [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)))))) 1544092492.110 * [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)))))))) 1544092492.111 * [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))) 1544092492.111 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1544092492.111 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.111 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of k in k 1544092492.111 * [misc]backup-simplify: Simplify 0 into 0 1544092492.111 * [misc]backup-simplify: Simplify 1 into 1 1544092492.111 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092492.111 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.111 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of -2 in k 1544092492.111 * [misc]backup-simplify: Simplify -2 into -2 1544092492.111 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1544092492.111 * [misc]taylor: Taking taylor expansion of PI in k 1544092492.111 * [misc]backup-simplify: Simplify PI into PI 1544092492.111 * [misc]taylor: Taking taylor expansion of n in k 1544092492.111 * [misc]backup-simplify: Simplify n into n 1544092492.111 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1544092492.111 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1544092492.111 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1544092492.112 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092492.112 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092492.112 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1544092492.112 * [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))) 1544092492.112 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092492.112 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092492.112 * [misc]taylor: Taking taylor expansion of -1 in k 1544092492.112 * [misc]backup-simplify: Simplify -1 into -1 1544092492.112 * [misc]taylor: Taking taylor expansion of k in k 1544092492.112 * [misc]backup-simplify: Simplify 0 into 0 1544092492.112 * [misc]backup-simplify: Simplify 1 into 1 1544092492.112 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092492.112 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092492.113 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092492.113 * [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)))) 1544092492.113 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.113 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of k in n 1544092492.113 * [misc]backup-simplify: Simplify k into k 1544092492.113 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092492.113 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.113 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.113 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of -2 in n 1544092492.113 * [misc]backup-simplify: Simplify -2 into -2 1544092492.113 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.113 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.113 * [misc]backup-simplify: Simplify PI into PI 1544092492.113 * [misc]taylor: Taking taylor expansion of n in n 1544092492.113 * [misc]backup-simplify: Simplify 0 into 0 1544092492.113 * [misc]backup-simplify: Simplify 1 into 1 1544092492.113 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.113 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092492.114 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092492.114 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092492.114 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092492.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092492.115 * [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))) 1544092492.115 * [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)))) 1544092492.115 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092492.115 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092492.115 * [misc]taylor: Taking taylor expansion of -1 in n 1544092492.115 * [misc]backup-simplify: Simplify -1 into -1 1544092492.115 * [misc]taylor: Taking taylor expansion of k in n 1544092492.115 * [misc]backup-simplify: Simplify k into k 1544092492.115 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092492.115 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092492.115 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092492.115 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092492.116 * [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))) 1544092492.116 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.116 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of k in n 1544092492.116 * [misc]backup-simplify: Simplify k into k 1544092492.116 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092492.116 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092492.116 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.116 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of -2 in n 1544092492.116 * [misc]backup-simplify: Simplify -2 into -2 1544092492.116 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.116 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.116 * [misc]backup-simplify: Simplify PI into PI 1544092492.116 * [misc]taylor: Taking taylor expansion of n in n 1544092492.116 * [misc]backup-simplify: Simplify 0 into 0 1544092492.116 * [misc]backup-simplify: Simplify 1 into 1 1544092492.116 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.117 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092492.117 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092492.117 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092492.117 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092492.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092492.118 * [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))) 1544092492.118 * [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)))) 1544092492.118 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092492.118 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092492.118 * [misc]taylor: Taking taylor expansion of -1 in n 1544092492.118 * [misc]backup-simplify: Simplify -1 into -1 1544092492.118 * [misc]taylor: Taking taylor expansion of k in n 1544092492.118 * [misc]backup-simplify: Simplify k into k 1544092492.118 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092492.119 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092492.119 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092492.119 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092492.119 * [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))) 1544092492.119 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.119 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.119 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092492.119 * [misc]taylor: Taking taylor expansion of k in k 1544092492.119 * [misc]backup-simplify: Simplify 0 into 0 1544092492.119 * [misc]backup-simplify: Simplify 1 into 1 1544092492.120 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092492.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092492.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092492.120 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1544092492.120 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1544092492.120 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1544092492.120 * [misc]taylor: Taking taylor expansion of -2 in k 1544092492.120 * [misc]backup-simplify: Simplify -2 into -2 1544092492.120 * [misc]taylor: Taking taylor expansion of PI in k 1544092492.120 * [misc]backup-simplify: Simplify PI into PI 1544092492.120 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092492.120 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1544092492.120 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092492.120 * [misc]taylor: Taking taylor expansion of n in k 1544092492.120 * [misc]backup-simplify: Simplify n into n 1544092492.120 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092492.120 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092492.120 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092492.121 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092492.121 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1544092492.121 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1544092492.122 * [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)))) 1544092492.122 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092492.122 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092492.122 * [misc]taylor: Taking taylor expansion of -1 in k 1544092492.122 * [misc]backup-simplify: Simplify -1 into -1 1544092492.122 * [misc]taylor: Taking taylor expansion of k in k 1544092492.122 * [misc]backup-simplify: Simplify 0 into 0 1544092492.122 * [misc]backup-simplify: Simplify 1 into 1 1544092492.122 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092492.122 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092492.122 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092492.123 * [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))))) 1544092492.123 * [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))))) 1544092492.124 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092492.125 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544092492.127 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1544092492.127 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092492.128 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092492.128 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.129 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092492.129 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1544092492.131 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092492.132 * [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 1544092492.132 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.132 * [misc]backup-simplify: Simplify 0 into 0 1544092492.132 * [misc]backup-simplify: Simplify 0 into 0 1544092492.132 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092492.133 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092492.134 * [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)))))) 1544092492.135 * [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)))))) 1544092492.136 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.137 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092492.142 * [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 1544092492.143 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092492.143 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092492.143 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092492.144 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1544092492.145 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1544092492.147 * [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 1544092492.147 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092492.148 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1544092492.149 * [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 1544092492.149 * [misc]taylor: Taking taylor expansion of 0 in k 1544092492.149 * [misc]backup-simplify: Simplify 0 into 0 1544092492.149 * [misc]backup-simplify: Simplify 0 into 0 1544092492.149 * [misc]backup-simplify: Simplify 0 into 0 1544092492.149 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.151 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092492.152 * [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)))))) 1544092492.153 * [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)))))) 1544092492.155 * [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))))))))))) 1544092492.156 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) 1544092492.156 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1544092492.156 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1544092492.156 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092492.156 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.156 * [misc]backup-simplify: Simplify 2 into 2 1544092492.156 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092492.156 * [misc]taylor: Taking taylor expansion of n in n 1544092492.156 * [misc]backup-simplify: Simplify 0 into 0 1544092492.156 * [misc]backup-simplify: Simplify 1 into 1 1544092492.156 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.156 * [misc]backup-simplify: Simplify PI into PI 1544092492.156 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1544092492.156 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.156 * [misc]backup-simplify: Simplify 2 into 2 1544092492.156 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092492.156 * [misc]taylor: Taking taylor expansion of n in n 1544092492.156 * [misc]backup-simplify: Simplify 0 into 0 1544092492.156 * [misc]backup-simplify: Simplify 1 into 1 1544092492.156 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.156 * [misc]backup-simplify: Simplify PI into PI 1544092492.157 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092492.157 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092492.157 * [misc]backup-simplify: Simplify 0 into 0 1544092492.158 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092492.158 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1544092492.158 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.160 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544092492.161 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1544092492.161 * [misc]backup-simplify: Simplify 0 into 0 1544092492.162 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092492.164 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1544092492.164 * [misc]backup-simplify: Simplify 0 into 0 1544092492.166 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544092492.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1544092492.168 * [misc]backup-simplify: Simplify 0 into 0 1544092492.171 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544092492.174 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1544092492.174 * [misc]backup-simplify: Simplify 0 into 0 1544092492.177 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544092492.181 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1544092492.181 * [misc]backup-simplify: Simplify 0 into 0 1544092492.185 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1544092492.189 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1544092492.189 * [misc]backup-simplify: Simplify 0 into 0 1544092492.190 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1544092492.190 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1544092492.190 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1544092492.190 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092492.190 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.190 * [misc]backup-simplify: Simplify 2 into 2 1544092492.190 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.190 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.190 * [misc]backup-simplify: Simplify PI into PI 1544092492.190 * [misc]taylor: Taking taylor expansion of n in n 1544092492.190 * [misc]backup-simplify: Simplify 0 into 0 1544092492.190 * [misc]backup-simplify: Simplify 1 into 1 1544092492.191 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.191 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1544092492.191 * [misc]taylor: Taking taylor expansion of 2 in n 1544092492.191 * [misc]backup-simplify: Simplify 2 into 2 1544092492.191 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.191 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.191 * [misc]backup-simplify: Simplify PI into PI 1544092492.191 * [misc]taylor: Taking taylor expansion of n in n 1544092492.191 * [misc]backup-simplify: Simplify 0 into 0 1544092492.191 * [misc]backup-simplify: Simplify 1 into 1 1544092492.191 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.191 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.192 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1544092492.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092492.193 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1544092492.193 * [misc]backup-simplify: Simplify 0 into 0 1544092492.195 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.196 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092492.196 * [misc]backup-simplify: Simplify 0 into 0 1544092492.197 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.199 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092492.199 * [misc]backup-simplify: Simplify 0 into 0 1544092492.201 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.203 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544092492.203 * [misc]backup-simplify: Simplify 0 into 0 1544092492.205 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544092492.208 * [misc]backup-simplify: Simplify 0 into 0 1544092492.210 * [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 1544092492.213 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544092492.213 * [misc]backup-simplify: Simplify 0 into 0 1544092492.214 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1544092492.214 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1544092492.214 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1544092492.214 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092492.214 * [misc]taylor: Taking taylor expansion of -2 in n 1544092492.214 * [misc]backup-simplify: Simplify -2 into -2 1544092492.214 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.214 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.214 * [misc]backup-simplify: Simplify PI into PI 1544092492.214 * [misc]taylor: Taking taylor expansion of n in n 1544092492.214 * [misc]backup-simplify: Simplify 0 into 0 1544092492.214 * [misc]backup-simplify: Simplify 1 into 1 1544092492.214 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.214 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1544092492.214 * [misc]taylor: Taking taylor expansion of -2 in n 1544092492.214 * [misc]backup-simplify: Simplify -2 into -2 1544092492.214 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1544092492.214 * [misc]taylor: Taking taylor expansion of PI in n 1544092492.215 * [misc]backup-simplify: Simplify PI into PI 1544092492.215 * [misc]taylor: Taking taylor expansion of n in n 1544092492.215 * [misc]backup-simplify: Simplify 0 into 0 1544092492.215 * [misc]backup-simplify: Simplify 1 into 1 1544092492.215 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1544092492.215 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092492.215 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1544092492.217 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1544092492.217 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1544092492.217 * [misc]backup-simplify: Simplify 0 into 0 1544092492.219 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.220 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1544092492.220 * [misc]backup-simplify: Simplify 0 into 0 1544092492.222 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.223 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1544092492.223 * [misc]backup-simplify: Simplify 0 into 0 1544092492.225 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.227 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1544092492.227 * [misc]backup-simplify: Simplify 0 into 0 1544092492.231 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092492.233 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1544092492.234 * [misc]backup-simplify: Simplify 0 into 0 1544092492.236 * [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 1544092492.239 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1544092492.239 * [misc]backup-simplify: Simplify 0 into 0 1544092492.240 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1544092492.240 * * * [misc]progress: simplifying candidates 1544092492.240 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1544092492.240 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1544092492.240 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1544092492.240 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1544092492.240 * * [misc]simplify: iters left: 6 (11 enodes) 1544092492.244 * * [misc]simplify: iters left: 5 (21 enodes) 1544092492.251 * * [misc]simplify: iters left: 4 (47 enodes) 1544092492.269 * * [misc]simplify: iters left: 3 (113 enodes) 1544092492.302 * * [misc]simplify: iters left: 2 (328 enodes) 1544092492.545 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1544092492.545 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1544092492.545 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1544092492.545 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1544092492.545 * [enter]simplify: Simplifying (* PI (* n 2)) 1544092492.545 * * [misc]simplify: iters left: 4 (5 enodes) 1544092492.546 * * [misc]simplify: iters left: 3 (9 enodes) 1544092492.548 * * [misc]simplify: iters left: 2 (15 enodes) 1544092492.552 * * [misc]simplify: iters left: 1 (17 enodes) 1544092492.556 * [exit]simplify: Simplified to (* (* 2 n) PI) 1544092492.556 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1544092492.556 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1544092492.556 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1544092492.557 * * [misc]simplify: iters left: 5 (8 enodes) 1544092492.559 * * [misc]simplify: iters left: 4 (12 enodes) 1544092492.563 * * [misc]simplify: iters left: 3 (18 enodes) 1544092492.568 * * [misc]simplify: iters left: 2 (20 enodes) 1544092492.573 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1544092492.573 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1544092492.573 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1544092492.573 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544092492.574 * * [misc]simplify: iters left: 5 (6 enodes) 1544092492.575 * * [misc]simplify: iters left: 4 (8 enodes) 1544092492.581 * * [misc]simplify: iters left: 3 (11 enodes) 1544092492.584 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544092492.584 * [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))) 1544092492.584 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1544092492.585 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544092492.585 * * [misc]simplify: iters left: 5 (6 enodes) 1544092492.587 * * [misc]simplify: iters left: 4 (8 enodes) 1544092492.589 * * [misc]simplify: iters left: 3 (11 enodes) 1544092492.592 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544092492.592 * [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))) 1544092492.592 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1544092492.593 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544092492.593 * * [misc]simplify: iters left: 4 (5 enodes) 1544092492.594 * * [misc]simplify: iters left: 3 (7 enodes) 1544092492.596 * * [misc]simplify: iters left: 2 (10 enodes) 1544092492.599 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544092492.599 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1544092492.599 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1544092492.599 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544092492.599 * * [misc]simplify: iters left: 5 (9 enodes) 1544092492.602 * * [misc]simplify: iters left: 4 (15 enodes) 1544092492.606 * * [misc]simplify: iters left: 3 (21 enodes) 1544092492.612 * * [misc]simplify: iters left: 2 (22 enodes) 1544092492.617 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544092492.617 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544092492.617 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1544092492.618 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1544092492.618 * * [misc]simplify: iters left: 5 (9 enodes) 1544092492.621 * * [misc]simplify: iters left: 4 (15 enodes) 1544092492.625 * * [misc]simplify: iters left: 3 (21 enodes) 1544092492.630 * * [misc]simplify: iters left: 2 (22 enodes) 1544092492.635 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1544092492.636 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1544092492.636 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1544092492.636 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544092492.636 * * [misc]simplify: iters left: 5 (7 enodes) 1544092492.638 * * [misc]simplify: iters left: 4 (9 enodes) 1544092492.640 * * [misc]simplify: iters left: 3 (12 enodes) 1544092492.644 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544092492.644 * [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))) 1544092492.644 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1544092492.644 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1544092492.645 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544092492.645 * * [misc]simplify: iters left: 6 (14 enodes) 1544092492.650 * * [misc]simplify: iters left: 5 (27 enodes) 1544092492.658 * * [misc]simplify: iters left: 4 (55 enodes) 1544092492.680 * * [misc]simplify: iters left: 3 (144 enodes) 1544092492.783 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544092492.783 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544092492.783 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1544092492.783 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1544092492.783 * * [misc]simplify: iters left: 6 (14 enodes) 1544092492.788 * * [misc]simplify: iters left: 5 (27 enodes) 1544092492.797 * * [misc]simplify: iters left: 4 (55 enodes) 1544092492.820 * * [misc]simplify: iters left: 3 (144 enodes) 1544092492.872 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))) 1544092492.872 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log (* (* 2 n) PI)) (- (log (sqrt k)))))) 1544092492.872 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1544092492.872 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1544092492.872 * * [misc]simplify: iters left: 6 (14 enodes) 1544092492.874 * * [misc]simplify: iters left: 5 (24 enodes) 1544092492.878 * * [misc]simplify: iters left: 4 (43 enodes) 1544092492.885 * * [misc]simplify: iters left: 3 (73 enodes) 1544092492.902 * * [misc]simplify: iters left: 2 (220 enodes) 1544092493.092 * [exit]simplify: Simplified to (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))) 1544092493.092 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log (* (* PI 2) n)) (- 1/2 (/ k 2)) (- (log (sqrt k)))))) 1544092493.092 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1544092493.092 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1544092493.092 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1544092493.092 * [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))) 1544092493.093 * * [misc]simplify: iters left: 6 (16 enodes) 1544092493.098 * * [misc]simplify: iters left: 5 (31 enodes) 1544092493.107 * * [misc]simplify: iters left: 4 (67 enodes) 1544092493.128 * * [misc]simplify: iters left: 3 (124 enodes) 1544092493.169 * * [misc]simplify: iters left: 2 (195 enodes) 1544092493.226 * * [misc]simplify: iters left: 1 (309 enodes) 1544092493.347 * [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)))) 1544092493.347 * [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)))))) 1544092493.347 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1544092493.347 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1544092493.347 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1544092493.347 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1544092493.347 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1544092493.347 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.347 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.351 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.354 * * [misc]simplify: iters left: 4 (25 enodes) 1544092493.357 * * [misc]simplify: iters left: 3 (26 enodes) 1544092493.360 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.360 * [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))))) 1544092493.360 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544092493.361 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.362 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.365 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.368 * * [misc]simplify: iters left: 3 (25 enodes) 1544092493.371 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544092493.371 * [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))))) 1544092493.371 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1544092493.371 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544092493.371 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.373 * * [misc]simplify: iters left: 5 (16 enodes) 1544092493.375 * * [misc]simplify: iters left: 4 (22 enodes) 1544092493.378 * * [misc]simplify: iters left: 3 (24 enodes) 1544092493.381 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544092493.381 * [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))))) 1544092493.381 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544092493.381 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.383 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.386 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.389 * * [misc]simplify: iters left: 3 (25 enodes) 1544092493.392 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544092493.392 * [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))))) 1544092493.392 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1544092493.393 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544092493.393 * * [misc]simplify: iters left: 6 (9 enodes) 1544092493.396 * * [misc]simplify: iters left: 5 (16 enodes) 1544092493.401 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.406 * * [misc]simplify: iters left: 3 (26 enodes) 1544092493.412 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544092493.412 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544092493.412 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544092493.412 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.415 * * [misc]simplify: iters left: 5 (17 enodes) 1544092493.418 * * [misc]simplify: iters left: 4 (23 enodes) 1544092493.422 * * [misc]simplify: iters left: 3 (24 enodes) 1544092493.425 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544092493.425 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544092493.425 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1544092493.425 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.425 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.427 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.430 * * [misc]simplify: iters left: 4 (25 enodes) 1544092493.433 * * [misc]simplify: iters left: 3 (26 enodes) 1544092493.436 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.436 * [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))))) 1544092493.437 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1544092493.437 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.438 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.441 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.445 * * [misc]simplify: iters left: 3 (25 enodes) 1544092493.452 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1544092493.452 * [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))))) 1544092493.452 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1544092493.452 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1544092493.452 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.456 * * [misc]simplify: iters left: 5 (16 enodes) 1544092493.460 * * [misc]simplify: iters left: 4 (22 enodes) 1544092493.466 * * [misc]simplify: iters left: 3 (24 enodes) 1544092493.472 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1544092493.472 * [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))))) 1544092493.472 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1544092493.472 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.474 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.477 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.480 * * [misc]simplify: iters left: 3 (25 enodes) 1544092493.483 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1544092493.483 * [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))))) 1544092493.483 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1544092493.483 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1544092493.483 * * [misc]simplify: iters left: 6 (9 enodes) 1544092493.484 * * [misc]simplify: iters left: 5 (16 enodes) 1544092493.487 * * [misc]simplify: iters left: 4 (24 enodes) 1544092493.490 * * [misc]simplify: iters left: 3 (26 enodes) 1544092493.492 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1544092493.493 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1544092493.493 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1544092493.493 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.494 * * [misc]simplify: iters left: 5 (17 enodes) 1544092493.497 * * [misc]simplify: iters left: 4 (23 enodes) 1544092493.500 * * [misc]simplify: iters left: 3 (24 enodes) 1544092493.503 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1544092493.503 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1544092493.503 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1544092493.503 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.503 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.505 * * [misc]simplify: iters left: 5 (15 enodes) 1544092493.507 * * [misc]simplify: iters left: 4 (18 enodes) 1544092493.513 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.513 * [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))))) 1544092493.514 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544092493.514 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.517 * * [misc]simplify: iters left: 5 (14 enodes) 1544092493.521 * * [misc]simplify: iters left: 4 (17 enodes) 1544092493.526 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544092493.526 * [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))))) 1544092493.526 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1544092493.526 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.526 * * [misc]simplify: iters left: 6 (10 enodes) 1544092493.529 * * [misc]simplify: iters left: 5 (12 enodes) 1544092493.532 * * [misc]simplify: iters left: 4 (15 enodes) 1544092493.536 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.536 * [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))))) 1544092493.537 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.537 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.540 * * [misc]simplify: iters left: 5 (14 enodes) 1544092493.544 * * [misc]simplify: iters left: 4 (17 enodes) 1544092493.549 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.549 * [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))))) 1544092493.549 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1544092493.549 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1544092493.549 * * [misc]simplify: iters left: 6 (9 enodes) 1544092493.552 * * [misc]simplify: iters left: 5 (13 enodes) 1544092493.556 * * [misc]simplify: iters left: 4 (18 enodes) 1544092493.560 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544092493.560 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544092493.561 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544092493.561 * * [misc]simplify: iters left: 6 (10 enodes) 1544092493.563 * * [misc]simplify: iters left: 5 (13 enodes) 1544092493.565 * * [misc]simplify: iters left: 4 (16 enodes) 1544092493.567 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1544092493.567 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1544092493.567 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1544092493.568 * [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)))) 1544092493.568 * * [misc]simplify: iters left: 6 (16 enodes) 1544092493.570 * * [misc]simplify: iters left: 5 (28 enodes) 1544092493.574 * * [misc]simplify: iters left: 4 (46 enodes) 1544092493.581 * * [misc]simplify: iters left: 3 (50 enodes) 1544092493.587 * * [misc]simplify: iters left: 2 (53 enodes) 1544092493.593 * [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)))) 1544092493.593 * [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))))) 1544092493.594 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544092493.594 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.596 * * [misc]simplify: iters left: 5 (20 enodes) 1544092493.599 * * [misc]simplify: iters left: 4 (29 enodes) 1544092493.606 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.613 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544092493.613 * [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))))) 1544092493.614 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1544092493.614 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092493.614 * * [misc]simplify: iters left: 6 (15 enodes) 1544092493.619 * * [misc]simplify: iters left: 5 (23 enodes) 1544092493.626 * * [misc]simplify: iters left: 4 (34 enodes) 1544092493.636 * * [misc]simplify: iters left: 3 (37 enodes) 1544092493.645 * [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)))))) 1544092493.645 * [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))))) 1544092493.646 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.646 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.650 * * [misc]simplify: iters left: 5 (20 enodes) 1544092493.656 * * [misc]simplify: iters left: 4 (29 enodes) 1544092493.664 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.671 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.672 * [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))))) 1544092493.672 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1544092493.672 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1544092493.672 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.677 * * [misc]simplify: iters left: 5 (24 enodes) 1544092493.684 * * [misc]simplify: iters left: 4 (39 enodes) 1544092493.694 * * [misc]simplify: iters left: 3 (54 enodes) 1544092493.705 * * [misc]simplify: iters left: 2 (80 enodes) 1544092493.716 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1544092493.716 * [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)))) 1544092493.716 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544092493.716 * * [misc]simplify: iters left: 6 (13 enodes) 1544092493.718 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.721 * * [misc]simplify: iters left: 4 (28 enodes) 1544092493.725 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.728 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544092493.728 * [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)))) 1544092493.728 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1544092493.728 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.729 * * [misc]simplify: iters left: 6 (15 enodes) 1544092493.731 * * [misc]simplify: iters left: 5 (23 enodes) 1544092493.734 * * [misc]simplify: iters left: 4 (32 enodes) 1544092493.739 * * [misc]simplify: iters left: 3 (34 enodes) 1544092493.744 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.744 * [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))))) 1544092493.744 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544092493.744 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.746 * * [misc]simplify: iters left: 5 (20 enodes) 1544092493.749 * * [misc]simplify: iters left: 4 (29 enodes) 1544092493.753 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.756 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1544092493.756 * [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))))) 1544092493.756 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1544092493.757 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.757 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.759 * * [misc]simplify: iters left: 5 (20 enodes) 1544092493.762 * * [misc]simplify: iters left: 4 (29 enodes) 1544092493.765 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.769 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.769 * [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))))) 1544092493.769 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.769 * * [misc]simplify: iters left: 6 (14 enodes) 1544092493.772 * * [misc]simplify: iters left: 5 (20 enodes) 1544092493.775 * * [misc]simplify: iters left: 4 (29 enodes) 1544092493.778 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.782 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092493.782 * [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))))) 1544092493.782 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1544092493.782 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1544092493.782 * * [misc]simplify: iters left: 6 (13 enodes) 1544092493.785 * * [misc]simplify: iters left: 5 (21 enodes) 1544092493.788 * * [misc]simplify: iters left: 4 (32 enodes) 1544092493.792 * * [misc]simplify: iters left: 3 (33 enodes) 1544092493.796 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1544092493.796 * [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)))) 1544092493.796 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1544092493.796 * * [misc]simplify: iters left: 6 (13 enodes) 1544092493.798 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.801 * * [misc]simplify: iters left: 4 (28 enodes) 1544092493.806 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.813 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1544092493.813 * [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)))) 1544092493.813 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1544092493.813 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092493.814 * * [misc]simplify: iters left: 6 (6 enodes) 1544092493.816 * * [misc]simplify: iters left: 5 (10 enodes) 1544092493.819 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092493.819 * [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))))) 1544092493.820 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544092493.820 * * [misc]simplify: iters left: 6 (13 enodes) 1544092493.824 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.830 * * [misc]simplify: iters left: 4 (28 enodes) 1544092493.837 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.844 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1544092493.845 * [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))))) 1544092493.845 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1544092493.845 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1544092493.845 * * [misc]simplify: iters left: 4 (5 enodes) 1544092493.846 * * [misc]simplify: iters left: 3 (7 enodes) 1544092493.848 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544092493.848 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544092493.848 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.849 * * [misc]simplify: iters left: 6 (13 enodes) 1544092493.852 * * [misc]simplify: iters left: 5 (19 enodes) 1544092493.858 * * [misc]simplify: iters left: 4 (28 enodes) 1544092493.865 * * [misc]simplify: iters left: 3 (30 enodes) 1544092493.870 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092493.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1544092493.870 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1544092493.870 * [enter]simplify: Simplifying (/ 1 1) 1544092493.870 * * [misc]simplify: iters left: 2 (2 enodes) 1544092493.871 * * [misc]simplify: iters left: 1 (4 enodes) 1544092493.871 * [exit]simplify: Simplified to 1 1544092493.871 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1544092493.871 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1544092493.871 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.873 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.876 * * [misc]simplify: iters left: 4 (27 enodes) 1544092493.880 * * [misc]simplify: iters left: 3 (29 enodes) 1544092493.883 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1544092493.883 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1544092493.883 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1544092493.883 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1544092493.883 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1544092493.883 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1544092493.883 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1544092493.883 * * [misc]simplify: iters left: 2 (3 enodes) 1544092493.884 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1544092493.884 * [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)))) 1544092493.884 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1544092493.884 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544092493.884 * * [misc]simplify: iters left: 2 (3 enodes) 1544092493.885 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092493.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1544092493.885 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1544092493.885 * [enter]simplify: Simplifying (sqrt k) 1544092493.885 * * [misc]simplify: iters left: 1 (2 enodes) 1544092493.885 * [exit]simplify: Simplified to (sqrt k) 1544092493.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1544092493.885 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1544092493.885 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544092493.885 * * [misc]simplify: iters left: 5 (7 enodes) 1544092493.886 * * [misc]simplify: iters left: 4 (12 enodes) 1544092493.888 * * [misc]simplify: iters left: 3 (18 enodes) 1544092493.890 * * [misc]simplify: iters left: 2 (20 enodes) 1544092493.893 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544092493.893 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544092493.893 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1544092493.893 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544092493.893 * * [misc]simplify: iters left: 5 (7 enodes) 1544092493.894 * * [misc]simplify: iters left: 4 (12 enodes) 1544092493.896 * * [misc]simplify: iters left: 3 (18 enodes) 1544092493.898 * * [misc]simplify: iters left: 2 (20 enodes) 1544092493.900 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544092493.900 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1544092493.900 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1544092493.901 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1544092493.901 * * [misc]simplify: iters left: 5 (7 enodes) 1544092493.902 * * [misc]simplify: iters left: 4 (9 enodes) 1544092493.903 * * [misc]simplify: iters left: 3 (12 enodes) 1544092493.905 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1544092493.905 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092493.905 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1544092493.905 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1544092493.905 * * [misc]simplify: iters left: 6 (12 enodes) 1544092493.907 * * [misc]simplify: iters left: 5 (18 enodes) 1544092493.910 * * [misc]simplify: iters left: 4 (27 enodes) 1544092493.913 * * [misc]simplify: iters left: 3 (29 enodes) 1544092493.918 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1544092493.918 * [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))))))) 1544092493.918 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1544092493.918 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1544092493.918 * * [misc]simplify: iters left: 6 (11 enodes) 1544092493.920 * * [misc]simplify: iters left: 5 (17 enodes) 1544092493.922 * * [misc]simplify: iters left: 4 (26 enodes) 1544092493.928 * * [misc]simplify: iters left: 3 (27 enodes) 1544092493.935 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1544092493.935 * [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))))))) 1544092493.935 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1544092493.935 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1544092493.936 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1544092493.936 * * [misc]simplify: iters left: 5 (7 enodes) 1544092493.938 * * [misc]simplify: iters left: 4 (12 enodes) 1544092493.941 * * [misc]simplify: iters left: 3 (18 enodes) 1544092493.946 * * [misc]simplify: iters left: 2 (20 enodes) 1544092493.951 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1544092493.951 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1544092493.951 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1544092493.951 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1544092493.952 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1544092493.952 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1544092493.952 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1544092493.952 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1544092493.952 * [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))))) 1544092493.953 * * [misc]simplify: iters left: 6 (37 enodes) 1544092493.968 * * [misc]simplify: iters left: 5 (108 enodes) 1544092494.014 * * [misc]simplify: iters left: 4 (368 enodes) 1544092494.255 * [exit]simplify: Simplified to (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) 1544092494.255 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma -1/2 (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) (fma (* (* (* k k) (log n)) (* (log (* PI 2)) 1/4)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (fma (* (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (log (* PI 2)) (log (* PI 2)))) (* (* k k) 1/8) (fma (* (* (* k k) (log n)) (* (log n) 1/8)) (* (pow n 1/2) (pow (* PI 2) 1/2)) (* (pow n 1/2) (pow (* PI 2) 1/2)))))) (sqrt k))) 1544092494.255 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1544092494.255 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1544092494.255 * * [misc]simplify: iters left: 6 (15 enodes) 1544092494.258 * * [misc]simplify: iters left: 5 (33 enodes) 1544092494.268 * * [misc]simplify: iters left: 4 (64 enodes) 1544092494.289 * * [misc]simplify: iters left: 3 (179 enodes) 1544092494.362 * [exit]simplify: Simplified to (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) 1544092494.362 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (fma -1/2 k 1/2)) (pow n (fma -1/2 k 1/2))) (sqrt k))) 1544092494.362 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1544092494.362 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1544092494.363 * * [misc]simplify: iters left: 6 (15 enodes) 1544092494.366 * * [misc]simplify: iters left: 5 (30 enodes) 1544092494.371 * * [misc]simplify: iters left: 4 (65 enodes) 1544092494.385 * * [misc]simplify: iters left: 3 (208 enodes) 1544092494.541 * [exit]simplify: Simplified to (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) 1544092494.541 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (fma -1/2 k 1/2)) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1544092494.541 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1544092494.541 * [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)))))))))))))))))))))) 1544092494.541 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092494.541 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1544092494.542 * [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)))))))) 1544092494.542 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092494.542 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1544092494.542 * [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))))))))))) 1544092494.542 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092494.542 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1544092494.542 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544092494.542 * * [misc]simplify: iters left: 4 (5 enodes) 1544092494.543 * * [misc]simplify: iters left: 3 (9 enodes) 1544092494.544 * * [misc]simplify: iters left: 2 (15 enodes) 1544092494.546 * * [misc]simplify: iters left: 1 (17 enodes) 1544092494.548 * [exit]simplify: Simplified to (* (* PI n) 2) 1544092494.548 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544092494.548 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1544092494.548 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544092494.549 * * [misc]simplify: iters left: 4 (5 enodes) 1544092494.549 * * [misc]simplify: iters left: 3 (9 enodes) 1544092494.551 * * [misc]simplify: iters left: 2 (15 enodes) 1544092494.553 * * [misc]simplify: iters left: 1 (17 enodes) 1544092494.555 * [exit]simplify: Simplified to (* (* PI n) 2) 1544092494.555 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544092494.555 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1544092494.555 * [enter]simplify: Simplifying (* 2 (* n PI)) 1544092494.555 * * [misc]simplify: iters left: 4 (5 enodes) 1544092494.556 * * [misc]simplify: iters left: 3 (9 enodes) 1544092494.557 * * [misc]simplify: iters left: 2 (15 enodes) 1544092494.559 * * [misc]simplify: iters left: 1 (17 enodes) 1544092494.562 * [exit]simplify: Simplified to (* (* PI n) 2) 1544092494.562 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1544092494.563 * * * [misc]progress: adding candidates to table 1544092495.395 * * [misc]progress: iteration 2 / 4 1544092495.395 * * * [misc]progress: picking best candidate 1544092495.444 * * * * [misc]pick: Picked # 1544092495.444 * * * [misc]progress: localizing error 1544092495.501 * * * [misc]progress: generating rewritten candidates 1544092495.501 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1) 1544092495.504 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2) 1544092495.517 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1544092495.524 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2) 1544092495.527 * * * [misc]progress: generating series expansions 1544092495.527 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1) 1544092495.527 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1544092495.527 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544092495.527 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.527 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.527 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.527 * [misc]taylor: Taking taylor expansion of k in k 1544092495.527 * [misc]backup-simplify: Simplify 0 into 0 1544092495.527 * [misc]backup-simplify: Simplify 1 into 1 1544092495.527 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.527 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.527 * [misc]backup-simplify: Simplify PI into PI 1544092495.528 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.528 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.528 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.528 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.529 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.529 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092495.529 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.529 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.529 * [misc]taylor: Taking taylor expansion of k in k 1544092495.529 * [misc]backup-simplify: Simplify 0 into 0 1544092495.529 * [misc]backup-simplify: Simplify 1 into 1 1544092495.529 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.529 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.529 * [misc]backup-simplify: Simplify PI into PI 1544092495.530 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.530 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.530 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.530 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.530 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.531 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092495.531 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544092495.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092495.533 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092495.533 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.533 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.533 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544092495.535 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092495.536 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092495.538 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092495.539 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.539 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.539 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.540 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544092495.542 * [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))) 1544092495.543 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544092495.545 * [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)))) 1544092495.545 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.545 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544092495.545 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.545 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.545 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.545 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of k in k 1544092495.545 * [misc]backup-simplify: Simplify 0 into 0 1544092495.545 * [misc]backup-simplify: Simplify 1 into 1 1544092495.545 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.545 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.545 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.545 * [misc]backup-simplify: Simplify PI into PI 1544092495.545 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.546 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.546 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.546 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.546 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092495.546 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.546 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.546 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092495.546 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092495.546 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.546 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.546 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.546 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.546 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.547 * [misc]taylor: Taking taylor expansion of k in k 1544092495.547 * [misc]backup-simplify: Simplify 0 into 0 1544092495.547 * [misc]backup-simplify: Simplify 1 into 1 1544092495.547 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.547 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.547 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.547 * [misc]backup-simplify: Simplify PI into PI 1544092495.547 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.547 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.547 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.547 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.548 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092495.548 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.548 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.548 * [misc]backup-simplify: Simplify 0 into 0 1544092495.549 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544092495.549 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.549 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544092495.549 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.549 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of k in k 1544092495.549 * [misc]backup-simplify: Simplify 0 into 0 1544092495.549 * [misc]backup-simplify: Simplify 1 into 1 1544092495.549 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.549 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.549 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.549 * [misc]backup-simplify: Simplify PI into PI 1544092495.550 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.550 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.551 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.551 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.551 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.551 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.551 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.551 * [misc]taylor: Taking taylor expansion of k in k 1544092495.551 * [misc]backup-simplify: Simplify 0 into 0 1544092495.551 * [misc]backup-simplify: Simplify 1 into 1 1544092495.551 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.551 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.552 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.552 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.552 * [misc]backup-simplify: Simplify PI into PI 1544092495.552 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.552 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.552 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.553 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.553 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.553 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.553 * [misc]backup-simplify: Simplify 0 into 0 1544092495.553 * [misc]backup-simplify: Simplify 0 into 0 1544092495.553 * [misc]backup-simplify: Simplify 0 into 0 1544092495.553 * [misc]backup-simplify: Simplify 0 into 0 1544092495.553 * [misc]backup-simplify: Simplify 0 into 0 1544092495.554 * [misc]backup-simplify: Simplify 0 into 0 1544092495.554 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544092495.554 * * * * [misc]progress: [ 2 / 4 ] generating series at (2) 1544092495.554 * [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))) 1544092495.554 * [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 1544092495.554 * [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 1544092495.554 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.554 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092495.554 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.554 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.555 * [misc]taylor: Taking taylor expansion of k in n 1544092495.555 * [misc]backup-simplify: Simplify k into k 1544092495.555 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.555 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.555 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.555 * [misc]backup-simplify: Simplify 2 into 2 1544092495.555 * [misc]taylor: Taking taylor expansion of n in n 1544092495.555 * [misc]backup-simplify: Simplify 0 into 0 1544092495.555 * [misc]backup-simplify: Simplify 1 into 1 1544092495.555 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.555 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.555 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.555 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092495.555 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092495.556 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092495.556 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.556 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092495.556 * [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)))) 1544092495.557 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.557 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.557 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.557 * [misc]taylor: Taking taylor expansion of k in n 1544092495.557 * [misc]backup-simplify: Simplify k into k 1544092495.557 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.557 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.557 * [misc]backup-simplify: Simplify PI into PI 1544092495.557 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.557 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092495.557 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092495.558 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092495.558 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544092495.558 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544092495.558 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092495.558 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.558 * [misc]taylor: Taking taylor expansion of k in n 1544092495.558 * [misc]backup-simplify: Simplify k into k 1544092495.558 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.558 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092495.559 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.559 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092495.559 * [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 1544092495.559 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.559 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.559 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.559 * [misc]taylor: Taking taylor expansion of k in k 1544092495.559 * [misc]backup-simplify: Simplify 0 into 0 1544092495.559 * [misc]backup-simplify: Simplify 1 into 1 1544092495.559 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092495.559 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.559 * [misc]backup-simplify: Simplify 2 into 2 1544092495.559 * [misc]taylor: Taking taylor expansion of n in k 1544092495.559 * [misc]backup-simplify: Simplify n into n 1544092495.559 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092495.559 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092495.560 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.560 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.560 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.560 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092495.560 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092495.560 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092495.560 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092495.560 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092495.560 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.560 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.560 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.560 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.560 * [misc]taylor: Taking taylor expansion of k in k 1544092495.560 * [misc]backup-simplify: Simplify 0 into 0 1544092495.560 * [misc]backup-simplify: Simplify 1 into 1 1544092495.560 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.561 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.561 * [misc]backup-simplify: Simplify PI into PI 1544092495.561 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.561 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.561 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.561 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.562 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.562 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092495.563 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092495.563 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.563 * [misc]taylor: Taking taylor expansion of k in k 1544092495.563 * [misc]backup-simplify: Simplify 0 into 0 1544092495.563 * [misc]backup-simplify: Simplify 1 into 1 1544092495.563 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.563 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.563 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.563 * [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 1544092495.563 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.564 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.564 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.564 * [misc]taylor: Taking taylor expansion of k in k 1544092495.564 * [misc]backup-simplify: Simplify 0 into 0 1544092495.564 * [misc]backup-simplify: Simplify 1 into 1 1544092495.564 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092495.564 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.564 * [misc]backup-simplify: Simplify 2 into 2 1544092495.564 * [misc]taylor: Taking taylor expansion of n in k 1544092495.564 * [misc]backup-simplify: Simplify n into n 1544092495.564 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092495.564 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092495.564 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.564 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.565 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.565 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092495.565 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092495.565 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.565 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.565 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.565 * [misc]taylor: Taking taylor expansion of k in k 1544092495.565 * [misc]backup-simplify: Simplify 0 into 0 1544092495.565 * [misc]backup-simplify: Simplify 1 into 1 1544092495.565 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.565 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.565 * [misc]backup-simplify: Simplify PI into PI 1544092495.565 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.566 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.566 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.566 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.566 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.567 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092495.567 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092495.567 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.567 * [misc]taylor: Taking taylor expansion of k in k 1544092495.567 * [misc]backup-simplify: Simplify 0 into 0 1544092495.567 * [misc]backup-simplify: Simplify 1 into 1 1544092495.567 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.568 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.568 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.568 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544092495.569 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544092495.569 * [misc]taylor: Taking taylor expansion of 0 in n 1544092495.569 * [misc]backup-simplify: Simplify 0 into 0 1544092495.569 * [misc]backup-simplify: Simplify 0 into 0 1544092495.571 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092495.571 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092495.571 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.572 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.573 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544092495.576 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092495.576 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092495.577 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092495.577 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092495.577 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.577 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.578 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092495.578 * [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)))) 1544092495.580 * [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)))))) 1544092495.581 * [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))))) 1544092495.581 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544092495.581 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092495.581 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.581 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.581 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092495.581 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.581 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.582 * [misc]backup-simplify: Simplify 2 into 2 1544092495.582 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.582 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.582 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092495.582 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092495.582 * [misc]taylor: Taking taylor expansion of n in n 1544092495.582 * [misc]backup-simplify: Simplify 0 into 0 1544092495.582 * [misc]backup-simplify: Simplify 1 into 1 1544092495.582 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.582 * [misc]backup-simplify: Simplify PI into PI 1544092495.583 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092495.583 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092495.583 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.584 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.584 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092495.584 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.584 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.584 * [misc]backup-simplify: Simplify 0 into 0 1544092495.584 * [misc]backup-simplify: Simplify 0 into 0 1544092495.585 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092495.586 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.595 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092495.596 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.596 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.596 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.597 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544092495.601 * [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))) 1544092495.602 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092495.603 * [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 1544092495.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.604 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.604 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092495.605 * [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))) 1544092495.608 * [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))))))) 1544092495.611 * [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))))))))) 1544092495.611 * [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 1544092495.611 * [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 1544092495.611 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.611 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.611 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.611 * [misc]backup-simplify: Simplify 2 into 2 1544092495.611 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.611 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.611 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.611 * [misc]backup-simplify: Simplify PI into PI 1544092495.611 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.611 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.611 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.611 * [misc]backup-simplify: Simplify PI into PI 1544092495.611 * [misc]taylor: Taking taylor expansion of n in n 1544092495.611 * [misc]backup-simplify: Simplify 0 into 0 1544092495.611 * [misc]backup-simplify: Simplify 1 into 1 1544092495.612 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.612 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.612 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.612 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.612 * [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 1544092495.612 * [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 1544092495.612 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092495.612 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.612 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.612 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092495.612 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.612 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.613 * [misc]backup-simplify: Simplify 2 into 2 1544092495.613 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.613 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.613 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092495.613 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092495.613 * [misc]taylor: Taking taylor expansion of n in n 1544092495.613 * [misc]backup-simplify: Simplify 0 into 0 1544092495.613 * [misc]backup-simplify: Simplify 1 into 1 1544092495.613 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.613 * [misc]backup-simplify: Simplify PI into PI 1544092495.613 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092495.613 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092495.614 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.614 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.614 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.614 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.614 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.614 * [misc]backup-simplify: Simplify 2 into 2 1544092495.614 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.614 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.614 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.614 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.614 * [misc]backup-simplify: Simplify 2 into 2 1544092495.614 * [misc]taylor: Taking taylor expansion of n in n 1544092495.614 * [misc]backup-simplify: Simplify 0 into 0 1544092495.614 * [misc]backup-simplify: Simplify 1 into 1 1544092495.614 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.615 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.615 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.615 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.615 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.615 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.615 * [misc]backup-simplify: Simplify PI into PI 1544092495.615 * [misc]taylor: Taking taylor expansion of n in n 1544092495.615 * [misc]backup-simplify: Simplify 0 into 0 1544092495.615 * [misc]backup-simplify: Simplify 1 into 1 1544092495.615 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.615 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.615 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.616 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.616 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544092495.617 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544092495.617 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.617 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092495.617 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.617 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.617 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544092495.618 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.618 * [misc]backup-simplify: Simplify 0 into 0 1544092495.619 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.620 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.621 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.621 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.622 * [misc]backup-simplify: Simplify 0 into 0 1544092495.622 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.622 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092495.626 * [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 1544092495.627 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092495.627 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.627 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.629 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544092495.635 * [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))) 1544092495.636 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544092495.639 * [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 1544092495.639 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092495.639 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544092495.642 * [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))) 1544092495.647 * [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))))))))) 1544092495.657 * [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))))))))))))))) 1544092495.657 * [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 1544092495.657 * [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 1544092495.657 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544092495.657 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.657 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.657 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544092495.657 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544092495.657 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.657 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.657 * [misc]backup-simplify: Simplify 2 into 2 1544092495.657 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.658 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.658 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.658 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.658 * [misc]backup-simplify: Simplify PI into PI 1544092495.658 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.658 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.658 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.658 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.658 * [misc]backup-simplify: Simplify PI into PI 1544092495.658 * [misc]taylor: Taking taylor expansion of n in n 1544092495.658 * [misc]backup-simplify: Simplify 0 into 0 1544092495.658 * [misc]backup-simplify: Simplify 1 into 1 1544092495.659 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.659 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.660 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.660 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.660 * [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 1544092495.660 * [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 1544092495.660 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544092495.660 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.660 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.660 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544092495.660 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544092495.660 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.660 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.660 * [misc]backup-simplify: Simplify 2 into 2 1544092495.661 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.661 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.661 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544092495.661 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.661 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.661 * [misc]backup-simplify: Simplify PI into PI 1544092495.661 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.661 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.661 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.661 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.661 * [misc]backup-simplify: Simplify PI into PI 1544092495.661 * [misc]taylor: Taking taylor expansion of n in n 1544092495.661 * [misc]backup-simplify: Simplify 0 into 0 1544092495.661 * [misc]backup-simplify: Simplify 1 into 1 1544092495.662 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.662 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.662 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.663 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.663 * [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 1544092495.663 * [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 1544092495.663 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.663 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.663 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.663 * [misc]backup-simplify: Simplify 2 into 2 1544092495.663 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.663 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.663 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.663 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.664 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.664 * [misc]backup-simplify: Simplify 2 into 2 1544092495.664 * [misc]taylor: Taking taylor expansion of n in n 1544092495.664 * [misc]backup-simplify: Simplify 0 into 0 1544092495.664 * [misc]backup-simplify: Simplify 1 into 1 1544092495.664 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.664 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.664 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.664 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.664 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.664 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.664 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.664 * [misc]backup-simplify: Simplify PI into PI 1544092495.664 * [misc]taylor: Taking taylor expansion of n in n 1544092495.664 * [misc]backup-simplify: Simplify 0 into 0 1544092495.664 * [misc]backup-simplify: Simplify 1 into 1 1544092495.664 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.665 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.665 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.665 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.665 * [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 1544092495.665 * [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 1544092495.665 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544092495.665 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.665 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.665 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544092495.665 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544092495.665 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.665 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.665 * [misc]backup-simplify: Simplify 2 into 2 1544092495.665 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.666 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.666 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.666 * [misc]backup-simplify: Simplify 2 into 2 1544092495.666 * [misc]taylor: Taking taylor expansion of n in n 1544092495.666 * [misc]backup-simplify: Simplify 0 into 0 1544092495.666 * [misc]backup-simplify: Simplify 1 into 1 1544092495.666 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.666 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.666 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.666 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.666 * [misc]backup-simplify: Simplify PI into PI 1544092495.666 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.666 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092495.666 * [misc]taylor: Taking taylor expansion of n in n 1544092495.666 * [misc]backup-simplify: Simplify 0 into 0 1544092495.666 * [misc]backup-simplify: Simplify 1 into 1 1544092495.666 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.666 * [misc]backup-simplify: Simplify PI into PI 1544092495.667 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092495.667 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092495.667 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.667 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.667 * [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 1544092495.667 * [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 1544092495.667 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092495.667 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.667 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.667 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092495.667 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.667 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.668 * [misc]backup-simplify: Simplify 2 into 2 1544092495.668 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.668 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.668 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092495.668 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092495.668 * [misc]taylor: Taking taylor expansion of n in n 1544092495.668 * [misc]backup-simplify: Simplify 0 into 0 1544092495.668 * [misc]backup-simplify: Simplify 1 into 1 1544092495.668 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.668 * [misc]backup-simplify: Simplify PI into PI 1544092495.668 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092495.668 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092495.669 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.669 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.669 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.669 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.669 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.669 * [misc]backup-simplify: Simplify 2 into 2 1544092495.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.669 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.669 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.669 * [misc]backup-simplify: Simplify 2 into 2 1544092495.669 * [misc]taylor: Taking taylor expansion of n in n 1544092495.669 * [misc]backup-simplify: Simplify 0 into 0 1544092495.669 * [misc]backup-simplify: Simplify 1 into 1 1544092495.669 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.670 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.670 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.670 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092495.670 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092495.670 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.670 * [misc]backup-simplify: Simplify PI into PI 1544092495.670 * [misc]taylor: Taking taylor expansion of n in n 1544092495.670 * [misc]backup-simplify: Simplify 0 into 0 1544092495.670 * [misc]backup-simplify: Simplify 1 into 1 1544092495.670 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092495.670 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092495.670 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.671 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092495.671 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544092495.672 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544092495.672 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.672 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544092495.673 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544092495.673 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544092495.674 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.674 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.674 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.674 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092495.674 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544092495.675 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544092495.675 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.675 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.675 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544092495.676 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544092495.676 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544092495.677 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.677 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092495.677 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.677 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.677 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544092495.677 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.678 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.679 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.679 * [misc]backup-simplify: Simplify 0 into 0 1544092495.680 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092495.681 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544092495.682 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544092495.683 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544092495.684 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.685 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092495.685 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.687 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.687 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.687 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544092495.688 * [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)))))) 1544092495.689 * [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)))))) 1544092495.690 * [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)))))) 1544092495.692 * [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))))))) 1544092495.696 * [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))))))) 1544092495.701 * [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))))))))) 1544092495.708 * [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))))))))) 1544092495.716 * [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))))))))) 1544092495.717 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544092495.719 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544092495.720 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092495.722 * [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)))) 1544092495.727 * [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)))) 1544092495.728 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544092495.730 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544092495.740 * [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))))))))))))))) 1544092495.740 * [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)) 1544092495.740 * [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 1544092495.740 * [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 1544092495.740 * [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 1544092495.741 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.741 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.741 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.741 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of k in n 1544092495.741 * [misc]backup-simplify: Simplify k into k 1544092495.741 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.741 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.741 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.741 * [misc]backup-simplify: Simplify PI into PI 1544092495.741 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.742 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.742 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.742 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.742 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092495.743 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.743 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.743 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.743 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.743 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of k in n 1544092495.743 * [misc]backup-simplify: Simplify k into k 1544092495.743 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.743 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.743 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.743 * [misc]backup-simplify: Simplify 2 into 2 1544092495.743 * [misc]taylor: Taking taylor expansion of n in n 1544092495.743 * [misc]backup-simplify: Simplify 0 into 0 1544092495.743 * [misc]backup-simplify: Simplify 1 into 1 1544092495.743 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.744 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.744 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.744 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.744 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.744 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.744 * [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))) 1544092495.745 * [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)))) 1544092495.745 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092495.745 * [misc]taylor: Taking taylor expansion of k in n 1544092495.745 * [misc]backup-simplify: Simplify k into k 1544092495.745 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092495.745 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092495.745 * [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 1544092495.745 * [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 1544092495.745 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.745 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.745 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.745 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.745 * [misc]taylor: Taking taylor expansion of k in k 1544092495.746 * [misc]backup-simplify: Simplify 0 into 0 1544092495.746 * [misc]backup-simplify: Simplify 1 into 1 1544092495.746 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.746 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.746 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.746 * [misc]backup-simplify: Simplify PI into PI 1544092495.746 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.746 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.746 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.747 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.747 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092495.747 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092495.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092495.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.748 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.748 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.748 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.748 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.748 * [misc]taylor: Taking taylor expansion of k in k 1544092495.748 * [misc]backup-simplify: Simplify 0 into 0 1544092495.748 * [misc]backup-simplify: Simplify 1 into 1 1544092495.748 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.748 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092495.748 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092495.748 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.748 * [misc]backup-simplify: Simplify 2 into 2 1544092495.748 * [misc]taylor: Taking taylor expansion of n in k 1544092495.748 * [misc]backup-simplify: Simplify n into n 1544092495.748 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092495.748 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092495.748 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.749 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.749 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.749 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092495.749 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.749 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092495.749 * [misc]taylor: Taking taylor expansion of k in k 1544092495.749 * [misc]backup-simplify: Simplify 0 into 0 1544092495.749 * [misc]backup-simplify: Simplify 1 into 1 1544092495.749 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.750 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.750 * [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 1544092495.750 * [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 1544092495.750 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.750 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.750 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.750 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of k in k 1544092495.750 * [misc]backup-simplify: Simplify 0 into 0 1544092495.750 * [misc]backup-simplify: Simplify 1 into 1 1544092495.750 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.750 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.750 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.750 * [misc]backup-simplify: Simplify PI into PI 1544092495.751 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.751 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.751 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.751 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.751 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092495.752 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.752 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.752 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.752 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.752 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of k in k 1544092495.752 * [misc]backup-simplify: Simplify 0 into 0 1544092495.752 * [misc]backup-simplify: Simplify 1 into 1 1544092495.752 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.752 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092495.752 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.752 * [misc]backup-simplify: Simplify 2 into 2 1544092495.752 * [misc]taylor: Taking taylor expansion of n in k 1544092495.752 * [misc]backup-simplify: Simplify n into n 1544092495.752 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092495.752 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092495.752 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.752 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.752 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.753 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092495.753 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.753 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092495.753 * [misc]taylor: Taking taylor expansion of k in k 1544092495.753 * [misc]backup-simplify: Simplify 0 into 0 1544092495.753 * [misc]backup-simplify: Simplify 1 into 1 1544092495.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.753 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.753 * [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))))) 1544092495.753 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544092495.753 * [misc]taylor: Taking taylor expansion of 0 in n 1544092495.753 * [misc]backup-simplify: Simplify 0 into 0 1544092495.754 * [misc]backup-simplify: Simplify 0 into 0 1544092495.754 * [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 1544092495.754 * [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))))))) 1544092495.754 * [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 1544092495.754 * [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 1544092495.754 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.754 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.754 * [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 1544092495.754 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of k in n 1544092495.754 * [misc]backup-simplify: Simplify k into k 1544092495.754 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.754 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.754 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.754 * [misc]backup-simplify: Simplify PI into PI 1544092495.754 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.755 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.755 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.755 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.755 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092495.755 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.755 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.755 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.755 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.755 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of k in n 1544092495.755 * [misc]backup-simplify: Simplify k into k 1544092495.755 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.755 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.755 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.755 * [misc]backup-simplify: Simplify 2 into 2 1544092495.755 * [misc]taylor: Taking taylor expansion of n in n 1544092495.755 * [misc]backup-simplify: Simplify 0 into 0 1544092495.755 * [misc]backup-simplify: Simplify 1 into 1 1544092495.756 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.756 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.756 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.756 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.756 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.756 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.756 * [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))) 1544092495.756 * [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)))) 1544092495.757 * [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))))) 1544092495.757 * [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)))))) 1544092495.757 * [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))))))) 1544092495.757 * [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))))))) 1544092495.758 * [misc]backup-simplify: Simplify 0 into 0 1544092495.758 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.759 * [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 1544092495.759 * [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))))))) 1544092495.759 * [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 1544092495.759 * [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 1544092495.759 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.759 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.759 * [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 1544092495.759 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.759 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.759 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.759 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of k in n 1544092495.759 * [misc]backup-simplify: Simplify k into k 1544092495.759 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.759 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.759 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.759 * [misc]backup-simplify: Simplify PI into PI 1544092495.759 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.759 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.759 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.760 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.760 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092495.760 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.760 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.760 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.760 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.760 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of k in n 1544092495.760 * [misc]backup-simplify: Simplify k into k 1544092495.760 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.760 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.760 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.760 * [misc]backup-simplify: Simplify 2 into 2 1544092495.760 * [misc]taylor: Taking taylor expansion of n in n 1544092495.760 * [misc]backup-simplify: Simplify 0 into 0 1544092495.760 * [misc]backup-simplify: Simplify 1 into 1 1544092495.760 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.761 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.761 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.761 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.761 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.761 * [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))) 1544092495.761 * [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)))) 1544092495.762 * [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))))) 1544092495.762 * [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)))))) 1544092495.762 * [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))))))) 1544092495.762 * [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))))))) 1544092495.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092495.764 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.764 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.764 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.764 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.764 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.765 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.765 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092495.766 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.767 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092495.767 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.767 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.767 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.767 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.768 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544092495.768 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.769 * [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 1544092495.769 * [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 1544092495.769 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.769 * [misc]backup-simplify: Simplify 0 into 0 1544092495.769 * [misc]backup-simplify: Simplify 0 into 0 1544092495.770 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092495.770 * [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 1544092495.771 * [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))))))) 1544092495.771 * [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 1544092495.771 * [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 1544092495.771 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.771 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.771 * [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 1544092495.771 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.771 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.771 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.771 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of k in n 1544092495.771 * [misc]backup-simplify: Simplify k into k 1544092495.771 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.771 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.771 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.771 * [misc]backup-simplify: Simplify PI into PI 1544092495.771 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.771 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.771 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.771 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.772 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092495.772 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.772 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.772 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.772 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.772 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of k in n 1544092495.772 * [misc]backup-simplify: Simplify k into k 1544092495.772 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.772 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.772 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.772 * [misc]backup-simplify: Simplify 2 into 2 1544092495.772 * [misc]taylor: Taking taylor expansion of n in n 1544092495.772 * [misc]backup-simplify: Simplify 0 into 0 1544092495.772 * [misc]backup-simplify: Simplify 1 into 1 1544092495.772 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.772 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.772 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.772 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.773 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.773 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.773 * [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))) 1544092495.773 * [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)))) 1544092495.773 * [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))))) 1544092495.774 * [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)))))) 1544092495.774 * [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))))))) 1544092495.774 * [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))))))) 1544092495.776 * [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)))))))) 1544092495.776 * [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))) 1544092495.776 * [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 1544092495.776 * [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 1544092495.776 * [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 1544092495.776 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.776 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of k in n 1544092495.776 * [misc]backup-simplify: Simplify k into k 1544092495.776 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.776 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.776 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.776 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.776 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.776 * [misc]backup-simplify: Simplify -2 into -2 1544092495.776 * [misc]taylor: Taking taylor expansion of n in n 1544092495.776 * [misc]backup-simplify: Simplify 0 into 0 1544092495.776 * [misc]backup-simplify: Simplify 1 into 1 1544092495.776 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.777 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.777 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.777 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.777 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.777 * [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))) 1544092495.777 * [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)))) 1544092495.777 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.777 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.777 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.777 * [misc]taylor: Taking taylor expansion of k in n 1544092495.777 * [misc]backup-simplify: Simplify k into k 1544092495.777 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.777 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.778 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.778 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.778 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.778 * [misc]backup-simplify: Simplify PI into PI 1544092495.778 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.778 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.778 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.778 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092495.778 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.778 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092495.778 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092495.778 * [misc]taylor: Taking taylor expansion of -1 in n 1544092495.778 * [misc]backup-simplify: Simplify -1 into -1 1544092495.778 * [misc]taylor: Taking taylor expansion of k in n 1544092495.778 * [misc]backup-simplify: Simplify k into k 1544092495.778 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092495.779 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092495.779 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092495.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092495.779 * [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))) 1544092495.779 * [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))) 1544092495.779 * [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 1544092495.779 * [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 1544092495.779 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.779 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.779 * [misc]taylor: Taking taylor expansion of k in k 1544092495.779 * [misc]backup-simplify: Simplify 0 into 0 1544092495.779 * [misc]backup-simplify: Simplify 1 into 1 1544092495.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.780 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.780 * [misc]backup-simplify: Simplify -2 into -2 1544092495.780 * [misc]taylor: Taking taylor expansion of n in k 1544092495.780 * [misc]backup-simplify: Simplify n into n 1544092495.780 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092495.780 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092495.780 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.780 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.780 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092495.780 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.780 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.780 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.780 * [misc]taylor: Taking taylor expansion of k in k 1544092495.780 * [misc]backup-simplify: Simplify 0 into 0 1544092495.780 * [misc]backup-simplify: Simplify 1 into 1 1544092495.780 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.780 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.780 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.781 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.781 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.781 * [misc]backup-simplify: Simplify PI into PI 1544092495.781 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.781 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.781 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.781 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.781 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.781 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092495.781 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092495.781 * [misc]taylor: Taking taylor expansion of -1 in k 1544092495.782 * [misc]backup-simplify: Simplify -1 into -1 1544092495.782 * [misc]taylor: Taking taylor expansion of k in k 1544092495.782 * [misc]backup-simplify: Simplify 0 into 0 1544092495.782 * [misc]backup-simplify: Simplify 1 into 1 1544092495.782 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092495.782 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.782 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092495.782 * [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))) 1544092495.782 * [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)))) 1544092495.782 * [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 1544092495.782 * [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 1544092495.782 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.782 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092495.782 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092495.782 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.782 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.782 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.783 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of k in k 1544092495.783 * [misc]backup-simplify: Simplify 0 into 0 1544092495.783 * [misc]backup-simplify: Simplify 1 into 1 1544092495.783 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.783 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.783 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.783 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.783 * [misc]backup-simplify: Simplify -2 into -2 1544092495.783 * [misc]taylor: Taking taylor expansion of n in k 1544092495.783 * [misc]backup-simplify: Simplify n into n 1544092495.783 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092495.783 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092495.783 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.783 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.783 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092495.783 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.783 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092495.783 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.784 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.784 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.784 * [misc]taylor: Taking taylor expansion of k in k 1544092495.784 * [misc]backup-simplify: Simplify 0 into 0 1544092495.784 * [misc]backup-simplify: Simplify 1 into 1 1544092495.784 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.784 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.784 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.784 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092495.784 * [misc]taylor: Taking taylor expansion of PI in k 1544092495.784 * [misc]backup-simplify: Simplify PI into PI 1544092495.784 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.784 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.785 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.785 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092495.785 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.785 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092495.785 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092495.785 * [misc]taylor: Taking taylor expansion of -1 in k 1544092495.785 * [misc]backup-simplify: Simplify -1 into -1 1544092495.785 * [misc]taylor: Taking taylor expansion of k in k 1544092495.786 * [misc]backup-simplify: Simplify 0 into 0 1544092495.786 * [misc]backup-simplify: Simplify 1 into 1 1544092495.786 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092495.786 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.786 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092495.787 * [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))) 1544092495.787 * [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)))) 1544092495.787 * [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 1544092495.787 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.787 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.787 * [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 1544092495.787 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.787 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.787 * [misc]taylor: Taking taylor expansion of k in n 1544092495.787 * [misc]backup-simplify: Simplify k into k 1544092495.787 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.787 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.787 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.788 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.788 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.788 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.788 * [misc]backup-simplify: Simplify -2 into -2 1544092495.788 * [misc]taylor: Taking taylor expansion of n in n 1544092495.788 * [misc]backup-simplify: Simplify 0 into 0 1544092495.788 * [misc]backup-simplify: Simplify 1 into 1 1544092495.788 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.788 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.788 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.788 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.789 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.789 * [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))) 1544092495.789 * [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)))) 1544092495.789 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.789 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.789 * [misc]taylor: Taking taylor expansion of k in n 1544092495.789 * [misc]backup-simplify: Simplify k into k 1544092495.790 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.790 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.790 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.790 * [misc]backup-simplify: Simplify PI into PI 1544092495.790 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.790 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.790 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.790 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092495.791 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.791 * [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))) 1544092495.792 * [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)))) 1544092495.792 * [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)))) 1544092495.792 * [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 1544092495.793 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092495.794 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.794 * [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))))) 1544092495.795 * [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 1544092495.795 * [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 1544092495.795 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.795 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.795 * [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 1544092495.795 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.795 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of k in n 1544092495.795 * [misc]backup-simplify: Simplify k into k 1544092495.795 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.795 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.795 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.795 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.795 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.795 * [misc]backup-simplify: Simplify -2 into -2 1544092495.795 * [misc]taylor: Taking taylor expansion of n in n 1544092495.795 * [misc]backup-simplify: Simplify 0 into 0 1544092495.795 * [misc]backup-simplify: Simplify 1 into 1 1544092495.795 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.796 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.796 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.796 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.796 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.796 * [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))) 1544092495.797 * [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)))) 1544092495.797 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.797 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.798 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of k in n 1544092495.798 * [misc]backup-simplify: Simplify k into k 1544092495.798 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.798 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.798 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.798 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.798 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.798 * [misc]backup-simplify: Simplify PI into PI 1544092495.798 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.798 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.798 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.799 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092495.799 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.800 * [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))) 1544092495.800 * [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)))) 1544092495.801 * [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))))) 1544092495.801 * [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))))) 1544092495.804 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092495.804 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.804 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.804 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.805 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544092495.806 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.807 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092495.809 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092495.809 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.810 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.810 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.810 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092495.812 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.812 * [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 1544092495.813 * [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 1544092495.813 * [misc]backup-simplify: Simplify 0 into 0 1544092495.813 * [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 1544092495.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.815 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092495.816 * [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))))) 1544092495.816 * [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 1544092495.816 * [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 1544092495.816 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.816 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.816 * [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 1544092495.816 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.816 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.816 * [misc]taylor: Taking taylor expansion of k in n 1544092495.816 * [misc]backup-simplify: Simplify k into k 1544092495.816 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.816 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.816 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.817 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.817 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.817 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.817 * [misc]backup-simplify: Simplify -2 into -2 1544092495.817 * [misc]taylor: Taking taylor expansion of n in n 1544092495.817 * [misc]backup-simplify: Simplify 0 into 0 1544092495.817 * [misc]backup-simplify: Simplify 1 into 1 1544092495.817 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.817 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.817 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.817 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.818 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.818 * [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))) 1544092495.818 * [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)))) 1544092495.818 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.818 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.818 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.818 * [misc]taylor: Taking taylor expansion of k in n 1544092495.818 * [misc]backup-simplify: Simplify k into k 1544092495.819 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.819 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.819 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.819 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092495.819 * [misc]taylor: Taking taylor expansion of PI in n 1544092495.819 * [misc]backup-simplify: Simplify PI into PI 1544092495.819 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092495.819 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.819 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.819 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092495.820 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.820 * [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))) 1544092495.821 * [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)))) 1544092495.821 * [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))))) 1544092495.822 * [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))))) 1544092495.824 * [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)))))))) 1544092495.824 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1544092495.824 * [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)) 1544092495.824 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1544092495.824 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092495.824 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.825 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092495.825 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.825 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.825 * [misc]taylor: Taking taylor expansion of k in n 1544092495.825 * [misc]backup-simplify: Simplify k into k 1544092495.825 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.825 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.825 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.825 * [misc]backup-simplify: Simplify 2 into 2 1544092495.825 * [misc]taylor: Taking taylor expansion of n in n 1544092495.825 * [misc]backup-simplify: Simplify 0 into 0 1544092495.825 * [misc]backup-simplify: Simplify 1 into 1 1544092495.825 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.825 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.825 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.825 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092495.826 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092495.826 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092495.826 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.826 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092495.827 * [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)))) 1544092495.827 * [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))))) 1544092495.827 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092495.827 * [misc]taylor: Taking taylor expansion of k in n 1544092495.827 * [misc]backup-simplify: Simplify k into k 1544092495.827 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092495.827 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092495.827 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.827 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.828 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.828 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.828 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.828 * [misc]taylor: Taking taylor expansion of k in k 1544092495.828 * [misc]backup-simplify: Simplify 0 into 0 1544092495.828 * [misc]backup-simplify: Simplify 1 into 1 1544092495.828 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092495.828 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092495.828 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.828 * [misc]backup-simplify: Simplify 2 into 2 1544092495.828 * [misc]taylor: Taking taylor expansion of n in k 1544092495.828 * [misc]backup-simplify: Simplify n into n 1544092495.828 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092495.828 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092495.828 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.828 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.828 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.829 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092495.829 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092495.829 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544092495.829 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092495.829 * [misc]taylor: Taking taylor expansion of k in k 1544092495.829 * [misc]backup-simplify: Simplify 0 into 0 1544092495.829 * [misc]backup-simplify: Simplify 1 into 1 1544092495.829 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.830 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.830 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.830 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.830 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.830 * [misc]taylor: Taking taylor expansion of k in k 1544092495.830 * [misc]backup-simplify: Simplify 0 into 0 1544092495.830 * [misc]backup-simplify: Simplify 1 into 1 1544092495.830 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092495.830 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.830 * [misc]backup-simplify: Simplify 2 into 2 1544092495.830 * [misc]taylor: Taking taylor expansion of n in k 1544092495.830 * [misc]backup-simplify: Simplify n into n 1544092495.830 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092495.830 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092495.830 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.831 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.831 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.831 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092495.831 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092495.831 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544092495.831 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092495.831 * [misc]taylor: Taking taylor expansion of k in k 1544092495.831 * [misc]backup-simplify: Simplify 0 into 0 1544092495.831 * [misc]backup-simplify: Simplify 1 into 1 1544092495.831 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.832 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.832 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1544092495.832 * [misc]taylor: Taking taylor expansion of 0 in n 1544092495.832 * [misc]backup-simplify: Simplify 0 into 0 1544092495.832 * [misc]backup-simplify: Simplify 0 into 0 1544092495.832 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092495.833 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092495.833 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092495.833 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.834 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.834 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092495.834 * [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)))) 1544092495.835 * [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)))) 1544092495.836 * [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)))) 1544092495.836 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544092495.836 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544092495.836 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.836 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.836 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544092495.836 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092495.836 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092495.836 * [misc]taylor: Taking taylor expansion of n in n 1544092495.836 * [misc]backup-simplify: Simplify 0 into 0 1544092495.836 * [misc]backup-simplify: Simplify 1 into 1 1544092495.836 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.836 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.837 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.837 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092495.837 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.837 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.837 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092495.837 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092495.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.838 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544092495.839 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544092495.840 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.840 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.841 * [misc]backup-simplify: Simplify 0 into 0 1544092495.842 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.842 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092495.844 * [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 1544092495.844 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.844 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.844 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.845 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092495.846 * [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))) 1544092495.848 * [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))))) 1544092495.851 * [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)))))) 1544092495.851 * [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 1544092495.851 * [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 1544092495.851 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1544092495.851 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.851 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.851 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1544092495.851 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1544092495.851 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092495.851 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.851 * [misc]backup-simplify: Simplify 2 into 2 1544092495.851 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092495.852 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092495.852 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1544092495.852 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.852 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.852 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.852 * [misc]backup-simplify: Simplify 2 into 2 1544092495.852 * [misc]taylor: Taking taylor expansion of n in n 1544092495.852 * [misc]backup-simplify: Simplify 0 into 0 1544092495.852 * [misc]backup-simplify: Simplify 1 into 1 1544092495.852 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.852 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.852 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.852 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1544092495.852 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092495.852 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.852 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.853 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092495.853 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092495.853 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092495.853 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092495.853 * [misc]taylor: Taking taylor expansion of n in n 1544092495.853 * [misc]backup-simplify: Simplify 0 into 0 1544092495.853 * [misc]backup-simplify: Simplify 1 into 1 1544092495.853 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.853 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.854 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.854 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544092495.854 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544092495.854 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.854 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.854 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544092495.854 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092495.854 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092495.854 * [misc]taylor: Taking taylor expansion of n in n 1544092495.854 * [misc]backup-simplify: Simplify 0 into 0 1544092495.854 * [misc]backup-simplify: Simplify 1 into 1 1544092495.854 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.854 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.855 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.855 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092495.855 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.855 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.855 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092495.855 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092495.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.858 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1544092495.858 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1544092495.859 * [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))) 1544092495.859 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.860 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1544092495.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.861 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.862 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1544092495.862 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1544092495.863 * [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))))))) 1544092495.864 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1544092495.866 * [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))))))) 1544092495.866 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.866 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544092495.867 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544092495.867 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.869 * [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))))))))) 1544092495.871 * [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))))))) 1544092495.873 * [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))))))) 1544092495.874 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1544092495.874 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092495.875 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.875 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.876 * [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))) 1544092495.877 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.877 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092495.880 * [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)))))))))))) 1544092495.880 * [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))) 1544092495.880 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1544092495.880 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1544092495.880 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092495.880 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of k in n 1544092495.881 * [misc]backup-simplify: Simplify k into k 1544092495.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.881 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.881 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.881 * [misc]backup-simplify: Simplify 2 into 2 1544092495.881 * [misc]taylor: Taking taylor expansion of n in n 1544092495.881 * [misc]backup-simplify: Simplify 0 into 0 1544092495.881 * [misc]backup-simplify: Simplify 1 into 1 1544092495.881 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.881 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.881 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.881 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.881 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.881 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.882 * [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))) 1544092495.882 * [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)))) 1544092495.882 * [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))))) 1544092495.882 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092495.882 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.882 * [misc]taylor: Taking taylor expansion of k in n 1544092495.882 * [misc]backup-simplify: Simplify k into k 1544092495.882 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.882 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092495.882 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.882 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092495.882 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.882 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.882 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.882 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.883 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.883 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.883 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.883 * [misc]taylor: Taking taylor expansion of k in k 1544092495.883 * [misc]backup-simplify: Simplify 0 into 0 1544092495.883 * [misc]backup-simplify: Simplify 1 into 1 1544092495.883 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.883 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092495.883 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092495.883 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.883 * [misc]backup-simplify: Simplify 2 into 2 1544092495.883 * [misc]taylor: Taking taylor expansion of n in k 1544092495.883 * [misc]backup-simplify: Simplify n into n 1544092495.883 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092495.883 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092495.883 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.883 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.883 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.883 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092495.883 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.883 * [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))))) 1544092495.883 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of k in k 1544092495.884 * [misc]backup-simplify: Simplify 0 into 0 1544092495.884 * [misc]backup-simplify: Simplify 1 into 1 1544092495.884 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.884 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.884 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.884 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.884 * [misc]taylor: Taking taylor expansion of k in k 1544092495.884 * [misc]backup-simplify: Simplify 0 into 0 1544092495.884 * [misc]backup-simplify: Simplify 1 into 1 1544092495.885 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.885 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092495.885 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092495.885 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.885 * [misc]backup-simplify: Simplify 2 into 2 1544092495.885 * [misc]taylor: Taking taylor expansion of n in k 1544092495.885 * [misc]backup-simplify: Simplify n into n 1544092495.885 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092495.885 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092495.885 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.885 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.885 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.885 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092495.885 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.885 * [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))))) 1544092495.885 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092495.885 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.885 * [misc]taylor: Taking taylor expansion of k in k 1544092495.885 * [misc]backup-simplify: Simplify 0 into 0 1544092495.885 * [misc]backup-simplify: Simplify 1 into 1 1544092495.885 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.886 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.886 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092495.886 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544092495.886 * [misc]taylor: Taking taylor expansion of 0 in n 1544092495.886 * [misc]backup-simplify: Simplify 0 into 0 1544092495.886 * [misc]backup-simplify: Simplify 0 into 0 1544092495.886 * [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 1544092495.887 * [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))))))) 1544092495.887 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.887 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.887 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of k in n 1544092495.887 * [misc]backup-simplify: Simplify k into k 1544092495.887 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.887 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.887 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.887 * [misc]backup-simplify: Simplify 2 into 2 1544092495.887 * [misc]taylor: Taking taylor expansion of n in n 1544092495.887 * [misc]backup-simplify: Simplify 0 into 0 1544092495.887 * [misc]backup-simplify: Simplify 1 into 1 1544092495.887 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.887 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.887 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.887 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.888 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.888 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.888 * [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))) 1544092495.888 * [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)))) 1544092495.889 * [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))))) 1544092495.889 * [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))))) 1544092495.890 * [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))))))) 1544092495.890 * [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))))))) 1544092495.890 * [misc]backup-simplify: Simplify 0 into 0 1544092495.890 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092495.891 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.892 * [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 1544092495.892 * [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))))))) 1544092495.892 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092495.892 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092495.892 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.892 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.892 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092495.892 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.892 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.892 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.893 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.893 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.893 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of k in n 1544092495.893 * [misc]backup-simplify: Simplify k into k 1544092495.893 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.893 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.893 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.893 * [misc]backup-simplify: Simplify 2 into 2 1544092495.893 * [misc]taylor: Taking taylor expansion of n in n 1544092495.893 * [misc]backup-simplify: Simplify 0 into 0 1544092495.893 * [misc]backup-simplify: Simplify 1 into 1 1544092495.893 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.893 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.893 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.893 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.894 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.894 * [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))) 1544092495.895 * [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)))) 1544092495.895 * [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))))) 1544092495.895 * [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))))) 1544092495.896 * [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))))))) 1544092495.896 * [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))))))) 1544092495.896 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092495.899 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.899 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.899 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.899 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.900 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.900 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092495.901 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.902 * [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 1544092495.902 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544092495.903 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.903 * [misc]backup-simplify: Simplify 0 into 0 1544092495.903 * [misc]backup-simplify: Simplify 0 into 0 1544092495.903 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.904 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092495.905 * [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 1544092495.905 * [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))))))) 1544092495.905 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.905 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.905 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.905 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.905 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.906 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.906 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.906 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.906 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.906 * [misc]taylor: Taking taylor expansion of k in n 1544092495.906 * [misc]backup-simplify: Simplify k into k 1544092495.906 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.906 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.906 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.906 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.906 * [misc]backup-simplify: Simplify 2 into 2 1544092495.906 * [misc]taylor: Taking taylor expansion of n in n 1544092495.906 * [misc]backup-simplify: Simplify 0 into 0 1544092495.906 * [misc]backup-simplify: Simplify 1 into 1 1544092495.906 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.906 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.906 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.906 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.906 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.907 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.907 * [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))) 1544092495.907 * [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)))) 1544092495.908 * [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))))) 1544092495.909 * [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))))) 1544092495.909 * [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))))))) 1544092495.909 * [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))))))) 1544092495.911 * [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))))))))))) 1544092495.911 * [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))) 1544092495.911 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1544092495.911 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092495.911 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092495.911 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092495.911 * [misc]taylor: Taking taylor expansion of -1 in n 1544092495.911 * [misc]backup-simplify: Simplify -1 into -1 1544092495.911 * [misc]taylor: Taking taylor expansion of k in n 1544092495.911 * [misc]backup-simplify: Simplify k into k 1544092495.911 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092495.912 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092495.912 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092495.912 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092495.912 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.912 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of k in n 1544092495.912 * [misc]backup-simplify: Simplify k into k 1544092495.912 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.912 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.912 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.912 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.912 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.912 * [misc]backup-simplify: Simplify -2 into -2 1544092495.912 * [misc]taylor: Taking taylor expansion of n in n 1544092495.912 * [misc]backup-simplify: Simplify 0 into 0 1544092495.912 * [misc]backup-simplify: Simplify 1 into 1 1544092495.913 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.913 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.913 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.913 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.913 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.914 * [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))) 1544092495.914 * [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)))) 1544092495.914 * [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))))) 1544092495.914 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092495.914 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092495.914 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092495.914 * [misc]taylor: Taking taylor expansion of -1 in k 1544092495.914 * [misc]backup-simplify: Simplify -1 into -1 1544092495.914 * [misc]taylor: Taking taylor expansion of k in k 1544092495.914 * [misc]backup-simplify: Simplify 0 into 0 1544092495.914 * [misc]backup-simplify: Simplify 1 into 1 1544092495.915 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092495.915 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.915 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092495.915 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.915 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092495.915 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.916 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of k in k 1544092495.916 * [misc]backup-simplify: Simplify 0 into 0 1544092495.916 * [misc]backup-simplify: Simplify 1 into 1 1544092495.916 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.916 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.916 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.916 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092495.916 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.916 * [misc]backup-simplify: Simplify -2 into -2 1544092495.916 * [misc]taylor: Taking taylor expansion of n in k 1544092495.916 * [misc]backup-simplify: Simplify n into n 1544092495.916 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092495.916 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092495.916 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.917 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.917 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092495.917 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.917 * [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))) 1544092495.917 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092495.917 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092495.917 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092495.917 * [misc]taylor: Taking taylor expansion of -1 in k 1544092495.917 * [misc]backup-simplify: Simplify -1 into -1 1544092495.917 * [misc]taylor: Taking taylor expansion of k in k 1544092495.917 * [misc]backup-simplify: Simplify 0 into 0 1544092495.917 * [misc]backup-simplify: Simplify 1 into 1 1544092495.917 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092495.917 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092495.918 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092495.918 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.918 * [misc]taylor: Taking taylor expansion of k in k 1544092495.918 * [misc]backup-simplify: Simplify 0 into 0 1544092495.918 * [misc]backup-simplify: Simplify 1 into 1 1544092495.918 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.918 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.919 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092495.919 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092495.919 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.919 * [misc]backup-simplify: Simplify -2 into -2 1544092495.919 * [misc]taylor: Taking taylor expansion of n in k 1544092495.919 * [misc]backup-simplify: Simplify n into n 1544092495.919 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092495.919 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092495.919 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.919 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.919 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092495.919 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.920 * [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))) 1544092495.920 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.920 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.920 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.920 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of k in n 1544092495.920 * [misc]backup-simplify: Simplify k into k 1544092495.920 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.920 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.920 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.920 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.920 * [misc]backup-simplify: Simplify -2 into -2 1544092495.920 * [misc]taylor: Taking taylor expansion of n in n 1544092495.920 * [misc]backup-simplify: Simplify 0 into 0 1544092495.920 * [misc]backup-simplify: Simplify 1 into 1 1544092495.920 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.921 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.921 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.921 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.921 * [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))) 1544092495.922 * [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)))) 1544092495.922 * [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))))) 1544092495.922 * [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))))) 1544092495.923 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092495.924 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092495.924 * [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))))) 1544092495.924 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.924 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.924 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.924 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of k in n 1544092495.924 * [misc]backup-simplify: Simplify k into k 1544092495.924 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.924 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.924 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.924 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.924 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.924 * [misc]backup-simplify: Simplify -2 into -2 1544092495.924 * [misc]taylor: Taking taylor expansion of n in n 1544092495.924 * [misc]backup-simplify: Simplify 0 into 0 1544092495.924 * [misc]backup-simplify: Simplify 1 into 1 1544092495.924 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.925 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.925 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.925 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.925 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.925 * [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))) 1544092495.925 * [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)))) 1544092495.925 * [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))))) 1544092495.926 * [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))))) 1544092495.926 * [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))))))) 1544092495.926 * [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))))))) 1544092495.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092495.928 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092495.928 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.928 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.928 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.928 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.929 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092495.929 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.930 * [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 1544092495.930 * [misc]backup-simplify: Simplify 0 into 0 1544092495.930 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.931 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092495.931 * [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))))) 1544092495.931 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544092495.931 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544092495.931 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092495.931 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092495.931 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092495.931 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.931 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.932 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of k in n 1544092495.932 * [misc]backup-simplify: Simplify k into k 1544092495.932 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.932 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.932 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.932 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.932 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.932 * [misc]backup-simplify: Simplify -2 into -2 1544092495.932 * [misc]taylor: Taking taylor expansion of n in n 1544092495.932 * [misc]backup-simplify: Simplify 0 into 0 1544092495.932 * [misc]backup-simplify: Simplify 1 into 1 1544092495.932 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.932 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.932 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.932 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.932 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.933 * [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))) 1544092495.933 * [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)))) 1544092495.933 * [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))))) 1544092495.933 * [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))))) 1544092495.933 * [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))))))) 1544092495.934 * [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))))))) 1544092495.935 * [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))))))))) 1544092495.935 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2) 1544092495.935 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544092495.935 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544092495.935 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.935 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.935 * [misc]taylor: Taking taylor expansion of k in k 1544092495.935 * [misc]backup-simplify: Simplify 0 into 0 1544092495.935 * [misc]backup-simplify: Simplify 1 into 1 1544092495.935 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092495.935 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.935 * [misc]backup-simplify: Simplify 2 into 2 1544092495.935 * [misc]taylor: Taking taylor expansion of n in k 1544092495.935 * [misc]backup-simplify: Simplify n into n 1544092495.935 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092495.935 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092495.935 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.935 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.935 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.936 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092495.936 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092495.936 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.936 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.936 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.936 * [misc]taylor: Taking taylor expansion of k in n 1544092495.936 * [misc]backup-simplify: Simplify k into k 1544092495.936 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.936 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.936 * [misc]backup-simplify: Simplify 2 into 2 1544092495.936 * [misc]taylor: Taking taylor expansion of n in n 1544092495.936 * [misc]backup-simplify: Simplify 0 into 0 1544092495.936 * [misc]backup-simplify: Simplify 1 into 1 1544092495.936 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.936 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.936 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.936 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092495.936 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092495.936 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092495.937 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.937 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092495.937 * [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)))) 1544092495.937 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.937 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.937 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.937 * [misc]taylor: Taking taylor expansion of k in n 1544092495.937 * [misc]backup-simplify: Simplify k into k 1544092495.937 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092495.937 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.937 * [misc]backup-simplify: Simplify 2 into 2 1544092495.937 * [misc]taylor: Taking taylor expansion of n in n 1544092495.937 * [misc]backup-simplify: Simplify 0 into 0 1544092495.937 * [misc]backup-simplify: Simplify 1 into 1 1544092495.937 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092495.938 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092495.938 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.938 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092495.938 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092495.938 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092495.938 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.938 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092495.938 * [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)))) 1544092495.938 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544092495.938 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544092495.938 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544092495.939 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544092495.939 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.939 * [misc]backup-simplify: Simplify 2 into 2 1544092495.939 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.939 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092495.939 * [misc]taylor: Taking taylor expansion of n in k 1544092495.939 * [misc]backup-simplify: Simplify n into n 1544092495.939 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092495.939 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092495.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.939 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092495.939 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.939 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.939 * [misc]taylor: Taking taylor expansion of k in k 1544092495.939 * [misc]backup-simplify: Simplify 0 into 0 1544092495.939 * [misc]backup-simplify: Simplify 1 into 1 1544092495.939 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544092495.939 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092495.939 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.939 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.939 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544092495.940 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544092495.940 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544092495.940 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.941 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.942 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544092495.942 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.942 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.942 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544092495.943 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.943 * [misc]taylor: Taking taylor expansion of 0 in k 1544092495.943 * [misc]backup-simplify: Simplify 0 into 0 1544092495.943 * [misc]backup-simplify: Simplify 0 into 0 1544092495.943 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092495.943 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.944 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.945 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.945 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544092495.946 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.946 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544092495.946 * [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))))) 1544092495.947 * [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))))) 1544092495.947 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092495.950 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092495.950 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544092495.950 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.950 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.950 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092495.951 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544092495.952 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092495.952 * [misc]taylor: Taking taylor expansion of 0 in k 1544092495.952 * [misc]backup-simplify: Simplify 0 into 0 1544092495.952 * [misc]backup-simplify: Simplify 0 into 0 1544092495.952 * [misc]backup-simplify: Simplify 0 into 0 1544092495.953 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092495.953 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.953 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.957 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092495.959 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544092495.959 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.960 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544092495.961 * [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))))) 1544092495.963 * [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))))) 1544092495.965 * [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))))) 1544092495.966 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.966 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544092495.966 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of k in k 1544092495.966 * [misc]backup-simplify: Simplify 0 into 0 1544092495.966 * [misc]backup-simplify: Simplify 1 into 1 1544092495.966 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.966 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092495.966 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.966 * [misc]backup-simplify: Simplify 2 into 2 1544092495.966 * [misc]taylor: Taking taylor expansion of n in k 1544092495.967 * [misc]backup-simplify: Simplify n into n 1544092495.967 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092495.967 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092495.967 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.967 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.967 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.967 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092495.967 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092495.967 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.967 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of k in n 1544092495.968 * [misc]backup-simplify: Simplify k into k 1544092495.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.968 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.968 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.968 * [misc]backup-simplify: Simplify 2 into 2 1544092495.968 * [misc]taylor: Taking taylor expansion of n in n 1544092495.968 * [misc]backup-simplify: Simplify 0 into 0 1544092495.968 * [misc]backup-simplify: Simplify 1 into 1 1544092495.969 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.969 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.969 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.969 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.969 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.970 * [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))) 1544092495.970 * [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)))) 1544092495.970 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.970 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.970 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.970 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.970 * [misc]taylor: Taking taylor expansion of k in n 1544092495.970 * [misc]backup-simplify: Simplify k into k 1544092495.971 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.971 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092495.971 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092495.971 * [misc]taylor: Taking taylor expansion of 2 in n 1544092495.971 * [misc]backup-simplify: Simplify 2 into 2 1544092495.971 * [misc]taylor: Taking taylor expansion of n in n 1544092495.971 * [misc]backup-simplify: Simplify 0 into 0 1544092495.971 * [misc]backup-simplify: Simplify 1 into 1 1544092495.971 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092495.971 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.971 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.971 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092495.971 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092495.972 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.972 * [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))) 1544092495.972 * [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)))) 1544092495.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.973 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.973 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of k in k 1544092495.973 * [misc]backup-simplify: Simplify 0 into 0 1544092495.973 * [misc]backup-simplify: Simplify 1 into 1 1544092495.973 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.973 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of 2 in k 1544092495.973 * [misc]backup-simplify: Simplify 2 into 2 1544092495.973 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092495.973 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092495.973 * [misc]taylor: Taking taylor expansion of n in k 1544092495.973 * [misc]backup-simplify: Simplify n into n 1544092495.973 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092495.974 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.974 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092495.974 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092495.974 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092495.974 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544092495.974 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544092495.975 * [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)))) 1544092495.975 * [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)))) 1544092495.975 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092495.978 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092495.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092495.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092495.979 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.980 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.980 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092495.982 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092495.982 * [misc]taylor: Taking taylor expansion of 0 in k 1544092495.982 * [misc]backup-simplify: Simplify 0 into 0 1544092495.982 * [misc]backup-simplify: Simplify 0 into 0 1544092495.982 * [misc]backup-simplify: Simplify 0 into 0 1544092495.982 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.985 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092495.985 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092495.986 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092495.986 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.986 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.986 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.986 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544092495.987 * [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 1544092495.988 * [misc]taylor: Taking taylor expansion of 0 in k 1544092495.988 * [misc]backup-simplify: Simplify 0 into 0 1544092495.988 * [misc]backup-simplify: Simplify 0 into 0 1544092495.988 * [misc]backup-simplify: Simplify 0 into 0 1544092495.988 * [misc]backup-simplify: Simplify 0 into 0 1544092495.988 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092495.992 * [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 1544092495.992 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092495.992 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092495.992 * [misc]backup-simplify: Simplify (- 0) into 0 1544092495.992 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092495.993 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092495.993 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544092495.995 * [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 1544092495.995 * [misc]taylor: Taking taylor expansion of 0 in k 1544092495.995 * [misc]backup-simplify: Simplify 0 into 0 1544092495.995 * [misc]backup-simplify: Simplify 0 into 0 1544092495.995 * [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)))) 1544092495.995 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.995 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544092495.996 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of k in k 1544092495.996 * [misc]backup-simplify: Simplify 0 into 0 1544092495.996 * [misc]backup-simplify: Simplify 1 into 1 1544092495.996 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.996 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.996 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092495.996 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.996 * [misc]backup-simplify: Simplify -2 into -2 1544092495.996 * [misc]taylor: Taking taylor expansion of n in k 1544092495.996 * [misc]backup-simplify: Simplify n into n 1544092495.996 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092495.996 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092495.996 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092495.996 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092495.996 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092495.996 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092495.996 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.996 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.996 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.996 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.997 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.997 * [misc]taylor: Taking taylor expansion of k in n 1544092495.997 * [misc]backup-simplify: Simplify k into k 1544092495.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.997 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.997 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.997 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.997 * [misc]backup-simplify: Simplify -2 into -2 1544092495.997 * [misc]taylor: Taking taylor expansion of n in n 1544092495.997 * [misc]backup-simplify: Simplify 0 into 0 1544092495.997 * [misc]backup-simplify: Simplify 1 into 1 1544092495.997 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.997 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.997 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.997 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.997 * [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))) 1544092495.998 * [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)))) 1544092495.998 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.998 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of k in n 1544092495.998 * [misc]backup-simplify: Simplify k into k 1544092495.998 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092495.998 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092495.998 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.998 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092495.998 * [misc]taylor: Taking taylor expansion of -2 in n 1544092495.998 * [misc]backup-simplify: Simplify -2 into -2 1544092495.998 * [misc]taylor: Taking taylor expansion of n in n 1544092495.998 * [misc]backup-simplify: Simplify 0 into 0 1544092495.998 * [misc]backup-simplify: Simplify 1 into 1 1544092495.998 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092495.998 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092495.998 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092495.998 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092495.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092495.999 * [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))) 1544092495.999 * [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)))) 1544092495.999 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.999 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of k in k 1544092495.999 * [misc]backup-simplify: Simplify 0 into 0 1544092495.999 * [misc]backup-simplify: Simplify 1 into 1 1544092495.999 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092495.999 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092495.999 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092495.999 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544092495.999 * [misc]taylor: Taking taylor expansion of -2 in k 1544092495.999 * [misc]backup-simplify: Simplify -2 into -2 1544092496.000 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092496.000 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092496.000 * [misc]taylor: Taking taylor expansion of n in k 1544092496.000 * [misc]backup-simplify: Simplify n into n 1544092496.000 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092496.000 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092496.000 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092496.000 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092496.000 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544092496.000 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544092496.000 * [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)))) 1544092496.001 * [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)))) 1544092496.001 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092496.002 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092496.002 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092496.002 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092496.003 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092496.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092496.003 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092496.004 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092496.004 * [misc]taylor: Taking taylor expansion of 0 in k 1544092496.004 * [misc]backup-simplify: Simplify 0 into 0 1544092496.004 * [misc]backup-simplify: Simplify 0 into 0 1544092496.004 * [misc]backup-simplify: Simplify 0 into 0 1544092496.004 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092496.007 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544092496.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092496.007 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092496.007 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092496.007 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092496.008 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544092496.009 * [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 1544092496.009 * [misc]taylor: Taking taylor expansion of 0 in k 1544092496.009 * [misc]backup-simplify: Simplify 0 into 0 1544092496.009 * [misc]backup-simplify: Simplify 0 into 0 1544092496.009 * [misc]backup-simplify: Simplify 0 into 0 1544092496.009 * [misc]backup-simplify: Simplify 0 into 0 1544092496.009 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092496.015 * [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 1544092496.015 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092496.015 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092496.015 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092496.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092496.016 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544092496.020 * [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 1544092496.020 * [misc]taylor: Taking taylor expansion of 0 in k 1544092496.020 * [misc]backup-simplify: Simplify 0 into 0 1544092496.020 * [misc]backup-simplify: Simplify 0 into 0 1544092496.021 * [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))))) 1544092496.021 * * * [misc]progress: simplifying candidates 1544092496.021 * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # 1544092496.021 * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # 1544092496.021 * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # 1544092496.021 * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # 1544092496.021 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1544092496.022 * * [misc]simplify: iters left: 3 (5 enodes) 1544092496.023 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1544092496.023 * [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)))))) 1544092496.023 * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # 1544092496.024 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544092496.024 * * [misc]simplify: iters left: 5 (6 enodes) 1544092496.025 * * [misc]simplify: iters left: 4 (8 enodes) 1544092496.028 * * [misc]simplify: iters left: 3 (11 enodes) 1544092496.031 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544092496.031 * [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)))))) 1544092496.031 * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # 1544092496.031 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544092496.031 * * [misc]simplify: iters left: 5 (6 enodes) 1544092496.033 * * [misc]simplify: iters left: 4 (8 enodes) 1544092496.036 * * [misc]simplify: iters left: 3 (11 enodes) 1544092496.039 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544092496.039 * [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)))))) 1544092496.039 * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # 1544092496.039 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544092496.039 * * [misc]simplify: iters left: 4 (5 enodes) 1544092496.041 * * [misc]simplify: iters left: 3 (7 enodes) 1544092496.043 * * [misc]simplify: iters left: 2 (10 enodes) 1544092496.045 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544092496.046 * [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)))))) 1544092496.046 * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # 1544092496.046 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544092496.046 * * [misc]simplify: iters left: 5 (6 enodes) 1544092496.048 * * [misc]simplify: iters left: 4 (8 enodes) 1544092496.050 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544092496.050 * [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)))))) 1544092496.050 * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # 1544092496.050 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1544092496.050 * * [misc]simplify: iters left: 5 (6 enodes) 1544092496.052 * * [misc]simplify: iters left: 4 (8 enodes) 1544092496.055 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1544092496.055 * [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)))))) 1544092496.055 * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # 1544092496.055 * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # 1544092496.056 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092496.056 * * [misc]simplify: iters left: 6 (16 enodes) 1544092496.062 * * [misc]simplify: iters left: 5 (31 enodes) 1544092496.073 * * [misc]simplify: iters left: 4 (70 enodes) 1544092496.091 * * [misc]simplify: iters left: 3 (225 enodes) 1544092496.215 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1544092496.215 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092496.216 * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # 1544092496.216 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092496.216 * * [misc]simplify: iters left: 6 (16 enodes) 1544092496.219 * * [misc]simplify: iters left: 5 (31 enodes) 1544092496.224 * * [misc]simplify: iters left: 4 (70 enodes) 1544092496.241 * * [misc]simplify: iters left: 3 (225 enodes) 1544092496.417 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1544092496.417 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092496.417 * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # 1544092496.418 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092496.418 * * [misc]simplify: iters left: 6 (16 enodes) 1544092496.420 * * [misc]simplify: iters left: 5 (29 enodes) 1544092496.426 * * [misc]simplify: iters left: 4 (58 enodes) 1544092496.437 * * [misc]simplify: iters left: 3 (142 enodes) 1544092496.501 * * [misc]simplify: iters left: 2 (491 enodes) 1544092496.883 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1544092496.883 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1544092496.883 * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # 1544092496.883 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092496.883 * * [misc]simplify: iters left: 6 (15 enodes) 1544092496.886 * * [misc]simplify: iters left: 5 (25 enodes) 1544092496.889 * * [misc]simplify: iters left: 4 (42 enodes) 1544092496.897 * * [misc]simplify: iters left: 3 (87 enodes) 1544092496.920 * * [misc]simplify: iters left: 2 (190 enodes) 1544092497.017 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1544092497.017 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1544092497.017 * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # 1544092497.017 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092497.018 * * [misc]simplify: iters left: 6 (16 enodes) 1544092497.023 * * [misc]simplify: iters left: 5 (31 enodes) 1544092497.034 * * [misc]simplify: iters left: 4 (64 enodes) 1544092497.055 * * [misc]simplify: iters left: 3 (197 enodes) 1544092497.180 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1544092497.180 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092497.180 * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # 1544092497.180 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092497.181 * * [misc]simplify: iters left: 6 (16 enodes) 1544092497.184 * * [misc]simplify: iters left: 5 (31 enodes) 1544092497.195 * * [misc]simplify: iters left: 4 (64 enodes) 1544092497.224 * * [misc]simplify: iters left: 3 (197 enodes) 1544092497.322 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))) 1544092497.323 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092497.323 * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # 1544092497.323 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092497.323 * * [misc]simplify: iters left: 6 (16 enodes) 1544092497.326 * * [misc]simplify: iters left: 5 (29 enodes) 1544092497.330 * * [misc]simplify: iters left: 4 (52 enodes) 1544092497.344 * * [misc]simplify: iters left: 3 (114 enodes) 1544092497.434 * * [misc]simplify: iters left: 2 (450 enodes) 1544092497.738 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))) 1544092497.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)) (- (log (sqrt k)))))) 1544092497.738 * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # 1544092497.739 * [enter]simplify: Simplifying (- (log (pow PI (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092497.739 * * [misc]simplify: iters left: 6 (15 enodes) 1544092497.743 * * [misc]simplify: iters left: 5 (25 enodes) 1544092497.750 * * [misc]simplify: iters left: 4 (37 enodes) 1544092497.760 * * [misc]simplify: iters left: 3 (63 enodes) 1544092497.780 * * [misc]simplify: iters left: 2 (161 enodes) 1544092497.862 * * [misc]simplify: iters left: 1 (499 enodes) 1544092498.222 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))) 1544092498.222 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (+ -1/2 (/ k 2)) (log (* 2 n)) (log (sqrt k)))))) 1544092498.222 * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # 1544092498.222 * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # 1544092498.222 * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # 1544092498.222 * [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)))))) 1544092498.222 * * [misc]simplify: iters left: 6 (19 enodes) 1544092498.226 * * [misc]simplify: iters left: 5 (36 enodes) 1544092498.234 * * [misc]simplify: iters left: 4 (112 enodes) 1544092498.291 * * [misc]simplify: iters left: 3 (434 enodes) 1544092498.723 * [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)))))) 1544092498.723 * [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)))))))) 1544092498.723 * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # 1544092498.723 * [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)))))) 1544092498.724 * * [misc]simplify: iters left: 6 (17 enodes) 1544092498.729 * * [misc]simplify: iters left: 5 (35 enodes) 1544092498.742 * * [misc]simplify: iters left: 4 (92 enodes) 1544092498.780 * * [misc]simplify: iters left: 3 (254 enodes) 1544092498.950 * [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)))))) 1544092498.950 * [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)))))))) 1544092498.950 * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # 1544092498.950 * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # 1544092498.950 * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # 1544092498.950 * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # 1544092498.950 * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # 1544092498.951 * [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))))))) 1544092498.951 * * [misc]simplify: iters left: 6 (15 enodes) 1544092498.955 * * [misc]simplify: iters left: 5 (21 enodes) 1544092498.962 * * [misc]simplify: iters left: 4 (24 enodes) 1544092498.969 * [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)))))) 1544092498.969 * [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)))))))) 1544092498.969 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092498.970 * * [misc]simplify: iters left: 6 (15 enodes) 1544092498.974 * * [misc]simplify: iters left: 5 (19 enodes) 1544092498.977 * * [misc]simplify: iters left: 4 (20 enodes) 1544092499.343 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.343 * [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)))))))) 1544092499.343 * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # 1544092499.343 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.344 * * [misc]simplify: iters left: 6 (14 enodes) 1544092499.346 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.348 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.351 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.351 * [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)))))))) 1544092499.351 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.351 * * [misc]simplify: iters left: 6 (15 enodes) 1544092499.356 * * [misc]simplify: iters left: 5 (19 enodes) 1544092499.359 * * [misc]simplify: iters left: 4 (20 enodes) 1544092499.362 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.362 * [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)))))))) 1544092499.362 * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # 1544092499.362 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092499.362 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.364 * * [misc]simplify: iters left: 5 (20 enodes) 1544092499.370 * * [misc]simplify: iters left: 4 (27 enodes) 1544092499.378 * * [misc]simplify: iters left: 3 (39 enodes) 1544092499.388 * * [misc]simplify: iters left: 2 (44 enodes) 1544092499.399 * * [misc]simplify: iters left: 1 (51 enodes) 1544092499.412 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544092499.412 * [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))))))) 1544092499.412 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092499.412 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.416 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.421 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.425 * * [misc]simplify: iters left: 3 (23 enodes) 1544092499.428 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092499.428 * [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)))))) 1544092499.428 * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # 1544092499.428 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092499.428 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.430 * * [misc]simplify: iters left: 5 (20 enodes) 1544092499.433 * * [misc]simplify: iters left: 4 (27 enodes) 1544092499.437 * * [misc]simplify: iters left: 3 (39 enodes) 1544092499.442 * * [misc]simplify: iters left: 2 (44 enodes) 1544092499.453 * * [misc]simplify: iters left: 1 (51 enodes) 1544092499.460 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544092499.460 * [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))))))) 1544092499.460 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092499.460 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.462 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.466 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.472 * * [misc]simplify: iters left: 3 (23 enodes) 1544092499.478 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092499.478 * [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)))))) 1544092499.478 * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # 1544092499.478 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092499.478 * * [misc]simplify: iters left: 6 (14 enodes) 1544092499.483 * * [misc]simplify: iters left: 5 (21 enodes) 1544092499.489 * * [misc]simplify: iters left: 4 (31 enodes) 1544092499.498 * * [misc]simplify: iters left: 3 (43 enodes) 1544092499.506 * * [misc]simplify: iters left: 2 (48 enodes) 1544092499.512 * * [misc]simplify: iters left: 1 (55 enodes) 1544092499.519 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1544092499.519 * [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))))))) 1544092499.519 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092499.519 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.521 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.524 * * [misc]simplify: iters left: 4 (22 enodes) 1544092499.527 * * [misc]simplify: iters left: 3 (24 enodes) 1544092499.530 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092499.530 * [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)))))) 1544092499.530 * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # 1544092499.530 * [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))))))) 1544092499.530 * * [misc]simplify: iters left: 6 (17 enodes) 1544092499.533 * * [misc]simplify: iters left: 5 (29 enodes) 1544092499.540 * * [misc]simplify: iters left: 4 (50 enodes) 1544092499.555 * * [misc]simplify: iters left: 3 (73 enodes) 1544092499.579 * * [misc]simplify: iters left: 2 (103 enodes) 1544092499.610 * * [misc]simplify: iters left: 1 (127 enodes) 1544092499.653 * [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)))) 1544092499.654 * [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)))))))) 1544092499.654 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.654 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.659 * * [misc]simplify: iters left: 5 (22 enodes) 1544092499.665 * * [misc]simplify: iters left: 4 (26 enodes) 1544092499.672 * * [misc]simplify: iters left: 3 (28 enodes) 1544092499.680 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092499.680 * [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))))))) 1544092499.680 * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # 1544092499.680 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.681 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.685 * * [misc]simplify: iters left: 5 (24 enodes) 1544092499.694 * * [misc]simplify: iters left: 4 (34 enodes) 1544092499.703 * * [misc]simplify: iters left: 3 (46 enodes) 1544092499.716 * * [misc]simplify: iters left: 2 (51 enodes) 1544092499.729 * * [misc]simplify: iters left: 1 (58 enodes) 1544092499.744 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1544092499.744 * [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)))))))) 1544092499.744 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.744 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.749 * * [misc]simplify: iters left: 5 (22 enodes) 1544092499.755 * * [misc]simplify: iters left: 4 (26 enodes) 1544092499.760 * * [misc]simplify: iters left: 3 (28 enodes) 1544092499.764 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092499.764 * [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))))))) 1544092499.764 * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # 1544092499.764 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092499.765 * * [misc]simplify: iters left: 6 (10 enodes) 1544092499.766 * * [misc]simplify: iters left: 5 (17 enodes) 1544092499.769 * * [misc]simplify: iters left: 4 (28 enodes) 1544092499.773 * * [misc]simplify: iters left: 3 (33 enodes) 1544092499.776 * * [misc]simplify: iters left: 2 (50 enodes) 1544092499.784 * * [misc]simplify: iters left: 1 (65 enodes) 1544092499.793 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092499.793 * [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))))))) 1544092499.793 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092499.793 * * [misc]simplify: iters left: 6 (15 enodes) 1544092499.795 * * [misc]simplify: iters left: 5 (21 enodes) 1544092499.798 * * [misc]simplify: iters left: 4 (25 enodes) 1544092499.802 * * [misc]simplify: iters left: 3 (27 enodes) 1544092499.806 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1544092499.806 * [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))))) 1544092499.806 * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # 1544092499.806 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092499.806 * * [misc]simplify: iters left: 6 (12 enodes) 1544092499.808 * * [misc]simplify: iters left: 5 (17 enodes) 1544092499.810 * * [misc]simplify: iters left: 4 (20 enodes) 1544092499.813 * * [misc]simplify: iters left: 3 (22 enodes) 1544092499.816 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544092499.816 * [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))))))) 1544092499.816 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092499.816 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.820 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.825 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.832 * * [misc]simplify: iters left: 3 (23 enodes) 1544092499.838 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092499.838 * [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)))))) 1544092499.838 * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # 1544092499.838 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092499.839 * * [misc]simplify: iters left: 6 (12 enodes) 1544092499.842 * * [misc]simplify: iters left: 5 (17 enodes) 1544092499.845 * * [misc]simplify: iters left: 4 (20 enodes) 1544092499.847 * * [misc]simplify: iters left: 3 (22 enodes) 1544092499.850 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544092499.850 * [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))))))) 1544092499.850 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092499.850 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.852 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.855 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.858 * * [misc]simplify: iters left: 3 (23 enodes) 1544092499.861 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092499.861 * [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)))))) 1544092499.861 * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # 1544092499.861 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092499.861 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.863 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.865 * * [misc]simplify: iters left: 4 (24 enodes) 1544092499.868 * * [misc]simplify: iters left: 3 (26 enodes) 1544092499.872 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092499.872 * [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))))))) 1544092499.872 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092499.872 * * [misc]simplify: iters left: 6 (13 enodes) 1544092499.874 * * [misc]simplify: iters left: 5 (18 enodes) 1544092499.876 * * [misc]simplify: iters left: 4 (22 enodes) 1544092499.879 * * [misc]simplify: iters left: 3 (24 enodes) 1544092499.883 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092499.883 * [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)))))) 1544092499.883 * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # 1544092499.883 * [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))))))) 1544092499.883 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.886 * * [misc]simplify: iters left: 5 (24 enodes) 1544092499.890 * * [misc]simplify: iters left: 4 (32 enodes) 1544092499.895 * * [misc]simplify: iters left: 3 (41 enodes) 1544092499.900 * * [misc]simplify: iters left: 2 (49 enodes) 1544092499.906 * * [misc]simplify: iters left: 1 (51 enodes) 1544092499.913 * [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)))))) 1544092499.913 * [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)))))))) 1544092499.913 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.913 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.916 * * [misc]simplify: iters left: 5 (22 enodes) 1544092499.919 * * [misc]simplify: iters left: 4 (26 enodes) 1544092499.922 * * [misc]simplify: iters left: 3 (28 enodes) 1544092499.926 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092499.926 * [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))))))) 1544092499.926 * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # 1544092499.926 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.926 * * [misc]simplify: iters left: 6 (15 enodes) 1544092499.928 * * [misc]simplify: iters left: 5 (21 enodes) 1544092499.931 * * [misc]simplify: iters left: 4 (27 enodes) 1544092499.935 * * [misc]simplify: iters left: 3 (29 enodes) 1544092499.938 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092499.938 * [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)))))))) 1544092499.939 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092499.939 * * [misc]simplify: iters left: 6 (16 enodes) 1544092499.941 * * [misc]simplify: iters left: 5 (22 enodes) 1544092499.945 * * [misc]simplify: iters left: 4 (26 enodes) 1544092499.948 * * [misc]simplify: iters left: 3 (28 enodes) 1544092499.952 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092499.952 * [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))))))) 1544092499.952 * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # 1544092499.952 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1544092499.952 * * [misc]simplify: iters left: 6 (9 enodes) 1544092499.954 * * [misc]simplify: iters left: 5 (14 enodes) 1544092499.956 * * [misc]simplify: iters left: 4 (21 enodes) 1544092499.958 * * [misc]simplify: iters left: 3 (23 enodes) 1544092499.961 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092499.961 * [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))))))) 1544092499.961 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092499.961 * * [misc]simplify: iters left: 6 (15 enodes) 1544092499.963 * * [misc]simplify: iters left: 5 (21 enodes) 1544092499.967 * * [misc]simplify: iters left: 4 (25 enodes) 1544092499.970 * * [misc]simplify: iters left: 3 (27 enodes) 1544092499.974 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1544092499.974 * [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))))) 1544092499.974 * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # 1544092499.974 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544092499.974 * * [misc]simplify: iters left: 6 (10 enodes) 1544092499.976 * * [misc]simplify: iters left: 5 (17 enodes) 1544092499.978 * * [misc]simplify: iters left: 4 (19 enodes) 1544092499.981 * * [misc]simplify: iters left: 3 (28 enodes) 1544092499.984 * * [misc]simplify: iters left: 2 (31 enodes) 1544092499.987 * * [misc]simplify: iters left: 1 (33 enodes) 1544092499.991 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544092499.991 * [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))))))) 1544092499.991 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092499.991 * * [misc]simplify: iters left: 6 (12 enodes) 1544092499.993 * * [misc]simplify: iters left: 5 (17 enodes) 1544092499.995 * * [misc]simplify: iters left: 4 (20 enodes) 1544092499.998 * * [misc]simplify: iters left: 3 (22 enodes) 1544092500.001 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092500.001 * [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))))) 1544092500.001 * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # 1544092500.002 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544092500.002 * * [misc]simplify: iters left: 6 (10 enodes) 1544092500.004 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.006 * * [misc]simplify: iters left: 4 (19 enodes) 1544092500.009 * * [misc]simplify: iters left: 3 (28 enodes) 1544092500.013 * * [misc]simplify: iters left: 2 (31 enodes) 1544092500.016 * * [misc]simplify: iters left: 1 (33 enodes) 1544092500.020 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544092500.020 * [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))))))) 1544092500.020 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092500.020 * * [misc]simplify: iters left: 6 (12 enodes) 1544092500.022 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.024 * * [misc]simplify: iters left: 4 (20 enodes) 1544092500.027 * * [misc]simplify: iters left: 3 (22 enodes) 1544092500.030 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092500.030 * [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))))) 1544092500.030 * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # 1544092500.030 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092500.030 * * [misc]simplify: iters left: 6 (12 enodes) 1544092500.033 * * [misc]simplify: iters left: 5 (19 enodes) 1544092500.038 * * [misc]simplify: iters left: 4 (24 enodes) 1544092500.045 * * [misc]simplify: iters left: 3 (33 enodes) 1544092500.054 * * [misc]simplify: iters left: 2 (36 enodes) 1544092500.062 * * [misc]simplify: iters left: 1 (39 enodes) 1544092500.071 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1544092500.071 * [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))))))) 1544092500.072 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092500.072 * * [misc]simplify: iters left: 6 (12 enodes) 1544092500.076 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.080 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.086 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.092 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092500.092 * [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)))))) 1544092500.092 * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # 1544092500.092 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092500.093 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.097 * * [misc]simplify: iters left: 5 (25 enodes) 1544092500.104 * * [misc]simplify: iters left: 4 (32 enodes) 1544092500.114 * * [misc]simplify: iters left: 3 (47 enodes) 1544092500.127 * * [misc]simplify: iters left: 2 (62 enodes) 1544092500.145 * * [misc]simplify: iters left: 1 (76 enodes) 1544092500.168 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1544092500.168 * [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)))))))) 1544092500.168 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.169 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.173 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.179 * * [misc]simplify: iters left: 4 (25 enodes) 1544092500.186 * * [misc]simplify: iters left: 3 (27 enodes) 1544092500.193 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544092500.193 * [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))))) 1544092500.193 * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # 1544092500.193 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.193 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.199 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.205 * * [misc]simplify: iters left: 4 (27 enodes) 1544092500.213 * * [misc]simplify: iters left: 3 (36 enodes) 1544092500.221 * * [misc]simplify: iters left: 2 (39 enodes) 1544092500.231 * * [misc]simplify: iters left: 1 (42 enodes) 1544092500.241 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1544092500.241 * [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)))))))) 1544092500.241 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.241 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.246 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.252 * * [misc]simplify: iters left: 4 (25 enodes) 1544092500.258 * * [misc]simplify: iters left: 3 (27 enodes) 1544092500.265 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544092500.266 * [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))))) 1544092500.266 * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # 1544092500.266 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1544092500.266 * * [misc]simplify: iters left: 4 (6 enodes) 1544092500.268 * * [misc]simplify: iters left: 3 (9 enodes) 1544092500.270 * [exit]simplify: Simplified to (sqrt PI) 1544092500.270 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092500.270 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.270 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.275 * * [misc]simplify: iters left: 5 (20 enodes) 1544092500.280 * * [misc]simplify: iters left: 4 (24 enodes) 1544092500.287 * * [misc]simplify: iters left: 3 (26 enodes) 1544092500.294 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092500.294 * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # 1544092500.294 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1544092500.294 * * [misc]simplify: iters left: 3 (5 enodes) 1544092500.296 * * [misc]simplify: iters left: 2 (8 enodes) 1544092500.297 * * [misc]simplify: iters left: 1 (10 enodes) 1544092500.298 * [exit]simplify: Simplified to (sqrt PI) 1544092500.298 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092500.298 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.298 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.300 * * [misc]simplify: iters left: 5 (20 enodes) 1544092500.303 * * [misc]simplify: iters left: 4 (24 enodes) 1544092500.306 * * [misc]simplify: iters left: 3 (26 enodes) 1544092500.310 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.310 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092500.310 * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # 1544092500.310 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1544092500.310 * * [misc]simplify: iters left: 3 (6 enodes) 1544092500.311 * * [misc]simplify: iters left: 2 (7 enodes) 1544092500.312 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092500.312 * [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))))))) 1544092500.312 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.312 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.314 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.317 * * [misc]simplify: iters left: 4 (26 enodes) 1544092500.321 * * [misc]simplify: iters left: 3 (36 enodes) 1544092500.326 * * [misc]simplify: iters left: 2 (38 enodes) 1544092500.333 * * [misc]simplify: iters left: 1 (43 enodes) 1544092500.343 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1544092500.343 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1544092500.343 * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # 1544092500.344 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092500.344 * * [misc]simplify: iters left: 6 (11 enodes) 1544092500.347 * * [misc]simplify: iters left: 5 (16 enodes) 1544092500.351 * * [misc]simplify: iters left: 4 (19 enodes) 1544092500.356 * * [misc]simplify: iters left: 3 (21 enodes) 1544092500.361 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544092500.361 * [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))))) 1544092500.362 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1544092500.362 * * [misc]simplify: iters left: 6 (10 enodes) 1544092500.365 * * [misc]simplify: iters left: 5 (13 enodes) 1544092500.368 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1544092500.368 * [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))))) 1544092500.368 * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # 1544092500.369 * [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))))))) 1544092500.369 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.373 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.379 * * [misc]simplify: iters left: 4 (24 enodes) 1544092500.382 * [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)))))) 1544092500.382 * [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)))))))) 1544092500.383 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.383 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.385 * * [misc]simplify: iters left: 5 (19 enodes) 1544092500.388 * * [misc]simplify: iters left: 4 (20 enodes) 1544092500.391 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.391 * [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)))))))) 1544092500.391 * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # 1544092500.391 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.391 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.393 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.396 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.398 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.398 * [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)))))))) 1544092500.399 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.399 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.401 * * [misc]simplify: iters left: 5 (19 enodes) 1544092500.403 * * [misc]simplify: iters left: 4 (20 enodes) 1544092500.406 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.406 * [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)))))))) 1544092500.406 * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # 1544092500.406 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092500.407 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.408 * * [misc]simplify: iters left: 5 (20 enodes) 1544092500.411 * * [misc]simplify: iters left: 4 (27 enodes) 1544092500.415 * * [misc]simplify: iters left: 3 (39 enodes) 1544092500.420 * * [misc]simplify: iters left: 2 (44 enodes) 1544092500.426 * * [misc]simplify: iters left: 1 (51 enodes) 1544092500.432 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544092500.433 * [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))))))) 1544092500.433 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092500.433 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.435 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.437 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.440 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.443 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092500.443 * [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)))))) 1544092500.444 * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # 1544092500.444 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092500.444 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.446 * * [misc]simplify: iters left: 5 (20 enodes) 1544092500.448 * * [misc]simplify: iters left: 4 (27 enodes) 1544092500.453 * * [misc]simplify: iters left: 3 (39 enodes) 1544092500.462 * * [misc]simplify: iters left: 2 (44 enodes) 1544092500.467 * * [misc]simplify: iters left: 1 (51 enodes) 1544092500.474 * [exit]simplify: Simplified to (* (/ (sqrt PI) (cbrt (sqrt k))) (/ (sqrt (* n 2)) (cbrt (sqrt k)))) 1544092500.474 * [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))))))) 1544092500.474 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092500.474 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.476 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.478 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.481 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.486 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092500.486 * [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)))))) 1544092500.486 * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # 1544092500.486 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092500.486 * * [misc]simplify: iters left: 6 (14 enodes) 1544092500.491 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.497 * * [misc]simplify: iters left: 4 (31 enodes) 1544092500.506 * * [misc]simplify: iters left: 3 (43 enodes) 1544092500.513 * * [misc]simplify: iters left: 2 (48 enodes) 1544092500.519 * * [misc]simplify: iters left: 1 (55 enodes) 1544092500.526 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k)))) 1544092500.526 * [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))))))) 1544092500.526 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092500.527 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.528 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.531 * * [misc]simplify: iters left: 4 (22 enodes) 1544092500.534 * * [misc]simplify: iters left: 3 (24 enodes) 1544092500.539 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k)))) 1544092500.539 * [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)))))) 1544092500.539 * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # 1544092500.540 * [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))))))) 1544092500.540 * * [misc]simplify: iters left: 6 (17 enodes) 1544092500.545 * * [misc]simplify: iters left: 5 (29 enodes) 1544092500.555 * * [misc]simplify: iters left: 4 (50 enodes) 1544092500.570 * * [misc]simplify: iters left: 3 (73 enodes) 1544092500.590 * * [misc]simplify: iters left: 2 (103 enodes) 1544092500.606 * * [misc]simplify: iters left: 1 (127 enodes) 1544092500.628 * [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)))) 1544092500.628 * [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)))))))) 1544092500.628 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.629 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.631 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.634 * * [misc]simplify: iters left: 4 (26 enodes) 1544092500.637 * * [misc]simplify: iters left: 3 (28 enodes) 1544092500.641 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092500.641 * [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))))))) 1544092500.641 * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # 1544092500.641 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.641 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.644 * * [misc]simplify: iters left: 5 (24 enodes) 1544092500.647 * * [misc]simplify: iters left: 4 (34 enodes) 1544092500.658 * * [misc]simplify: iters left: 3 (46 enodes) 1544092500.670 * * [misc]simplify: iters left: 2 (51 enodes) 1544092500.683 * * [misc]simplify: iters left: 1 (58 enodes) 1544092500.698 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (/ (cbrt (sqrt k)) (sqrt PI)))) 1544092500.698 * [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)))))))) 1544092500.698 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.698 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.703 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.709 * * [misc]simplify: iters left: 4 (26 enodes) 1544092500.718 * * [misc]simplify: iters left: 3 (28 enodes) 1544092500.725 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092500.725 * [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))))))) 1544092500.725 * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # 1544092500.726 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092500.726 * * [misc]simplify: iters left: 6 (10 enodes) 1544092500.729 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.734 * * [misc]simplify: iters left: 4 (28 enodes) 1544092500.742 * * [misc]simplify: iters left: 3 (33 enodes) 1544092500.746 * * [misc]simplify: iters left: 2 (50 enodes) 1544092500.753 * * [misc]simplify: iters left: 1 (65 enodes) 1544092500.762 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092500.762 * [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))))))) 1544092500.762 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.762 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.764 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.767 * * [misc]simplify: iters left: 4 (25 enodes) 1544092500.771 * * [misc]simplify: iters left: 3 (27 enodes) 1544092500.777 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (cbrt (sqrt k))) 1544092500.777 * [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))))) 1544092500.778 * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # 1544092500.778 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092500.778 * * [misc]simplify: iters left: 6 (12 enodes) 1544092500.782 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.786 * * [misc]simplify: iters left: 4 (20 enodes) 1544092500.791 * * [misc]simplify: iters left: 3 (22 enodes) 1544092500.797 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544092500.797 * [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))))))) 1544092500.797 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092500.797 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.801 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.805 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.807 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.810 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092500.811 * [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)))))) 1544092500.811 * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # 1544092500.811 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092500.811 * * [misc]simplify: iters left: 6 (12 enodes) 1544092500.813 * * [misc]simplify: iters left: 5 (17 enodes) 1544092500.815 * * [misc]simplify: iters left: 4 (20 enodes) 1544092500.817 * * [misc]simplify: iters left: 3 (22 enodes) 1544092500.821 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (* 2 n))) 1544092500.821 * [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))))))) 1544092500.821 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092500.821 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.823 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.826 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.829 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.832 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092500.832 * [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)))))) 1544092500.832 * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # 1544092500.832 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092500.832 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.834 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.837 * * [misc]simplify: iters left: 4 (24 enodes) 1544092500.840 * * [misc]simplify: iters left: 3 (26 enodes) 1544092500.844 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092500.844 * [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))))))) 1544092500.844 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092500.844 * * [misc]simplify: iters left: 6 (13 enodes) 1544092500.848 * * [misc]simplify: iters left: 5 (18 enodes) 1544092500.853 * * [misc]simplify: iters left: 4 (22 enodes) 1544092500.859 * * [misc]simplify: iters left: 3 (24 enodes) 1544092500.865 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k)))) 1544092500.865 * [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)))))) 1544092500.865 * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # 1544092500.866 * [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))))))) 1544092500.866 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.871 * * [misc]simplify: iters left: 5 (24 enodes) 1544092500.878 * * [misc]simplify: iters left: 4 (32 enodes) 1544092500.886 * * [misc]simplify: iters left: 3 (41 enodes) 1544092500.897 * * [misc]simplify: iters left: 2 (49 enodes) 1544092500.909 * * [misc]simplify: iters left: 1 (51 enodes) 1544092500.922 * [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)))))) 1544092500.922 * [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)))))))) 1544092500.923 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.923 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.928 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.933 * * [misc]simplify: iters left: 4 (26 enodes) 1544092500.940 * * [misc]simplify: iters left: 3 (28 enodes) 1544092500.944 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092500.944 * [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))))))) 1544092500.944 * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # 1544092500.944 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.945 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.947 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.950 * * [misc]simplify: iters left: 4 (27 enodes) 1544092500.953 * * [misc]simplify: iters left: 3 (29 enodes) 1544092500.957 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092500.957 * [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)))))))) 1544092500.957 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092500.957 * * [misc]simplify: iters left: 6 (16 enodes) 1544092500.960 * * [misc]simplify: iters left: 5 (22 enodes) 1544092500.963 * * [misc]simplify: iters left: 4 (26 enodes) 1544092500.966 * * [misc]simplify: iters left: 3 (28 enodes) 1544092500.973 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092500.973 * [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))))))) 1544092500.973 * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # 1544092500.973 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt (sqrt k)) 1)) 1544092500.973 * * [misc]simplify: iters left: 6 (9 enodes) 1544092500.976 * * [misc]simplify: iters left: 5 (14 enodes) 1544092500.980 * * [misc]simplify: iters left: 4 (21 enodes) 1544092500.985 * * [misc]simplify: iters left: 3 (23 enodes) 1544092500.990 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092500.990 * [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))))))) 1544092500.990 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092500.990 * * [misc]simplify: iters left: 6 (15 enodes) 1544092500.993 * * [misc]simplify: iters left: 5 (21 enodes) 1544092500.996 * * [misc]simplify: iters left: 4 (25 enodes) 1544092500.999 * * [misc]simplify: iters left: 3 (27 enodes) 1544092501.003 * [exit]simplify: Simplified to (/ (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) (sqrt (sqrt k))) 1544092501.003 * [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))))) 1544092501.003 * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # 1544092501.003 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544092501.003 * * [misc]simplify: iters left: 6 (10 enodes) 1544092501.005 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.007 * * [misc]simplify: iters left: 4 (19 enodes) 1544092501.010 * * [misc]simplify: iters left: 3 (28 enodes) 1544092501.013 * * [misc]simplify: iters left: 2 (31 enodes) 1544092501.016 * * [misc]simplify: iters left: 1 (33 enodes) 1544092501.020 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544092501.020 * [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))))))) 1544092501.020 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092501.020 * * [misc]simplify: iters left: 6 (12 enodes) 1544092501.022 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.025 * * [misc]simplify: iters left: 4 (20 enodes) 1544092501.028 * * [misc]simplify: iters left: 3 (22 enodes) 1544092501.031 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092501.031 * [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))))) 1544092501.031 * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # 1544092501.031 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow (* n 2) 1/2))) 1544092501.031 * * [misc]simplify: iters left: 6 (10 enodes) 1544092501.033 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.035 * * [misc]simplify: iters left: 4 (19 enodes) 1544092501.038 * * [misc]simplify: iters left: 3 (28 enodes) 1544092501.043 * * [misc]simplify: iters left: 2 (31 enodes) 1544092501.050 * * [misc]simplify: iters left: 1 (33 enodes) 1544092501.057 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (sqrt PI)) 1544092501.057 * [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))))))) 1544092501.058 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092501.058 * * [misc]simplify: iters left: 6 (12 enodes) 1544092501.061 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.066 * * [misc]simplify: iters left: 4 (20 enodes) 1544092501.072 * * [misc]simplify: iters left: 3 (22 enodes) 1544092501.078 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092501.078 * [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))))) 1544092501.078 * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # 1544092501.078 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092501.078 * * [misc]simplify: iters left: 6 (12 enodes) 1544092501.082 * * [misc]simplify: iters left: 5 (19 enodes) 1544092501.085 * * [misc]simplify: iters left: 4 (24 enodes) 1544092501.089 * * [misc]simplify: iters left: 3 (33 enodes) 1544092501.093 * * [misc]simplify: iters left: 2 (36 enodes) 1544092501.097 * * [misc]simplify: iters left: 1 (39 enodes) 1544092501.101 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt PI)) 1544092501.101 * [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))))))) 1544092501.102 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092501.102 * * [misc]simplify: iters left: 6 (12 enodes) 1544092501.103 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.106 * * [misc]simplify: iters left: 4 (21 enodes) 1544092501.109 * * [misc]simplify: iters left: 3 (23 enodes) 1544092501.112 * [exit]simplify: Simplified to (* (/ (pow PI (/ (- k) 2)) (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092501.112 * [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)))))) 1544092501.112 * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # 1544092501.112 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092501.112 * * [misc]simplify: iters left: 6 (15 enodes) 1544092501.114 * * [misc]simplify: iters left: 5 (25 enodes) 1544092501.121 * * [misc]simplify: iters left: 4 (32 enodes) 1544092501.131 * * [misc]simplify: iters left: 3 (47 enodes) 1544092501.145 * * [misc]simplify: iters left: 2 (62 enodes) 1544092501.155 * * [misc]simplify: iters left: 1 (76 enodes) 1544092501.166 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI))) 1544092501.166 * [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)))))))) 1544092501.167 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092501.167 * * [misc]simplify: iters left: 6 (15 enodes) 1544092501.171 * * [misc]simplify: iters left: 5 (21 enodes) 1544092501.177 * * [misc]simplify: iters left: 4 (25 enodes) 1544092501.184 * * [misc]simplify: iters left: 3 (27 enodes) 1544092501.191 * [exit]simplify: Simplified to (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544092501.191 * [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))))) 1544092501.191 * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # 1544092501.191 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092501.192 * * [misc]simplify: iters left: 6 (14 enodes) 1544092501.196 * * [misc]simplify: iters left: 5 (22 enodes) 1544092501.202 * * [misc]simplify: iters left: 4 (27 enodes) 1544092501.210 * * [misc]simplify: iters left: 3 (36 enodes) 1544092501.215 * * [misc]simplify: iters left: 2 (39 enodes) 1544092501.219 * * [misc]simplify: iters left: 1 (42 enodes) 1544092501.225 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt PI)) 1544092501.225 * [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)))))))) 1544092501.225 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092501.225 * * [misc]simplify: iters left: 6 (15 enodes) 1544092501.227 * * [misc]simplify: iters left: 5 (21 enodes) 1544092501.230 * * [misc]simplify: iters left: 4 (25 enodes) 1544092501.233 * * [misc]simplify: iters left: 3 (27 enodes) 1544092501.238 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (pow PI (/ (- k) 2)) (sqrt k))) 1544092501.238 * [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))))) 1544092501.238 * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # 1544092501.238 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ 1 1)) 1544092501.238 * * [misc]simplify: iters left: 4 (6 enodes) 1544092501.239 * * [misc]simplify: iters left: 3 (9 enodes) 1544092501.241 * [exit]simplify: Simplified to (sqrt PI) 1544092501.241 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092501.241 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092501.241 * * [misc]simplify: iters left: 6 (14 enodes) 1544092501.245 * * [misc]simplify: iters left: 5 (20 enodes) 1544092501.251 * * [misc]simplify: iters left: 4 (24 enodes) 1544092501.258 * * [misc]simplify: iters left: 3 (26 enodes) 1544092501.264 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092501.265 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092501.265 * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # 1544092501.265 * [enter]simplify: Simplifying (/ (pow PI 1/2) 1) 1544092501.265 * * [misc]simplify: iters left: 3 (5 enodes) 1544092501.267 * * [misc]simplify: iters left: 2 (8 enodes) 1544092501.269 * * [misc]simplify: iters left: 1 (10 enodes) 1544092501.271 * [exit]simplify: Simplified to (sqrt PI) 1544092501.271 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt PI) (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092501.271 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092501.271 * * [misc]simplify: iters left: 6 (14 enodes) 1544092501.276 * * [misc]simplify: iters left: 5 (20 enodes) 1544092501.282 * * [misc]simplify: iters left: 4 (24 enodes) 1544092501.288 * * [misc]simplify: iters left: 3 (26 enodes) 1544092501.295 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092501.295 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow PI (/ (- k) 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092501.295 * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # 1544092501.295 * [enter]simplify: Simplifying (/ (pow PI 1/2) (sqrt k)) 1544092501.295 * * [misc]simplify: iters left: 3 (6 enodes) 1544092501.297 * * [misc]simplify: iters left: 2 (7 enodes) 1544092501.299 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092501.299 * [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))))))) 1544092501.299 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092501.300 * * [misc]simplify: iters left: 6 (14 enodes) 1544092501.304 * * [misc]simplify: iters left: 5 (22 enodes) 1544092501.310 * * [misc]simplify: iters left: 4 (26 enodes) 1544092501.317 * * [misc]simplify: iters left: 3 (36 enodes) 1544092501.327 * * [misc]simplify: iters left: 2 (38 enodes) 1544092501.334 * * [misc]simplify: iters left: 1 (43 enodes) 1544092501.344 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))) 1544092501.344 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (/ (- k) 2))))) 1544092501.344 * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # 1544092501.344 * [enter]simplify: Simplifying (/ (pow PI 1/2) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092501.344 * * [misc]simplify: iters left: 6 (11 enodes) 1544092501.348 * * [misc]simplify: iters left: 5 (16 enodes) 1544092501.352 * * [misc]simplify: iters left: 4 (19 enodes) 1544092501.357 * * [misc]simplify: iters left: 3 (21 enodes) 1544092501.362 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544092501.362 * [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))))) 1544092501.363 * [enter]simplify: Simplifying (/ (pow PI (- (/ k 2))) (pow (* n 2) (/ k 2))) 1544092501.363 * * [misc]simplify: iters left: 6 (10 enodes) 1544092501.366 * * [misc]simplify: iters left: 5 (13 enodes) 1544092501.370 * [exit]simplify: Simplified to (/ (pow PI (/ (- k) 2)) (pow (* n 2) (/ k 2))) 1544092501.370 * [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))))) 1544092501.370 * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # 1544092501.370 * [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))))))) 1544092501.370 * * [misc]simplify: iters left: 6 (17 enodes) 1544092501.376 * * [misc]simplify: iters left: 5 (26 enodes) 1544092501.381 * * [misc]simplify: iters left: 4 (38 enodes) 1544092501.388 * * [misc]simplify: iters left: 3 (41 enodes) 1544092501.393 * * [misc]simplify: iters left: 2 (44 enodes) 1544092501.399 * [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))))))) 1544092501.399 * [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)))))))) 1544092501.399 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092501.400 * * [misc]simplify: iters left: 6 (15 enodes) 1544092501.402 * * [misc]simplify: iters left: 5 (18 enodes) 1544092501.404 * * [misc]simplify: iters left: 4 (21 enodes) 1544092501.407 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092501.407 * [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)))))))) 1544092501.407 * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # 1544092501.408 * [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)))))) 1544092501.408 * * [misc]simplify: iters left: 6 (16 enodes) 1544092501.413 * * [misc]simplify: iters left: 5 (21 enodes) 1544092501.419 * * [misc]simplify: iters left: 4 (26 enodes) 1544092501.426 * * [misc]simplify: iters left: 3 (27 enodes) 1544092501.434 * [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)))))) 1544092501.434 * [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)))))))) 1544092501.434 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092501.434 * * [misc]simplify: iters left: 6 (15 enodes) 1544092501.439 * * [misc]simplify: iters left: 5 (18 enodes) 1544092501.444 * * [misc]simplify: iters left: 4 (21 enodes) 1544092501.450 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092501.450 * [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)))))))) 1544092501.450 * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # 1544092501.451 * [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))) 1544092501.451 * * [misc]simplify: iters left: 6 (17 enodes) 1544092501.456 * * [misc]simplify: iters left: 5 (27 enodes) 1544092501.464 * * [misc]simplify: iters left: 4 (45 enodes) 1544092501.479 * * [misc]simplify: iters left: 3 (86 enodes) 1544092501.512 * * [misc]simplify: iters left: 2 (137 enodes) 1544092501.555 * * [misc]simplify: iters left: 1 (166 enodes) 1544092501.588 * [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)))))) 1544092501.588 * [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))))))) 1544092501.588 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092501.588 * * [misc]simplify: iters left: 6 (16 enodes) 1544092501.594 * * [misc]simplify: iters left: 5 (22 enodes) 1544092501.601 * * [misc]simplify: iters left: 4 (26 enodes) 1544092501.608 * * [misc]simplify: iters left: 3 (28 enodes) 1544092501.615 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092501.615 * [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))))))) 1544092501.615 * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # 1544092501.616 * [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))) 1544092501.616 * * [misc]simplify: iters left: 6 (17 enodes) 1544092501.621 * * [misc]simplify: iters left: 5 (27 enodes) 1544092501.626 * * [misc]simplify: iters left: 4 (45 enodes) 1544092501.633 * * [misc]simplify: iters left: 3 (86 enodes) 1544092501.663 * * [misc]simplify: iters left: 2 (137 enodes) 1544092501.709 * * [misc]simplify: iters left: 1 (166 enodes) 1544092501.747 * [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)))))) 1544092501.747 * [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))))))) 1544092501.748 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092501.748 * * [misc]simplify: iters left: 6 (16 enodes) 1544092501.753 * * [misc]simplify: iters left: 5 (22 enodes) 1544092501.759 * * [misc]simplify: iters left: 4 (26 enodes) 1544092501.765 * * [misc]simplify: iters left: 3 (28 enodes) 1544092501.772 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092501.773 * [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))))))) 1544092501.773 * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # 1544092501.773 * [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))))) 1544092501.773 * * [misc]simplify: iters left: 6 (16 enodes) 1544092501.778 * * [misc]simplify: iters left: 5 (24 enodes) 1544092501.786 * * [misc]simplify: iters left: 4 (42 enodes) 1544092501.793 * * [misc]simplify: iters left: 3 (83 enodes) 1544092501.809 * * [misc]simplify: iters left: 2 (134 enodes) 1544092501.846 * * [misc]simplify: iters left: 1 (163 enodes) 1544092501.883 * [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))))) 1544092501.883 * [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))))))) 1544092501.884 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092501.884 * * [misc]simplify: iters left: 6 (13 enodes) 1544092501.886 * * [misc]simplify: iters left: 5 (17 enodes) 1544092501.889 * * [misc]simplify: iters left: 4 (23 enodes) 1544092501.893 * * [misc]simplify: iters left: 3 (25 enodes) 1544092501.897 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092501.897 * [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))))))) 1544092501.897 * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # 1544092501.897 * [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))))))) 1544092501.897 * * [misc]simplify: iters left: 6 (19 enodes) 1544092501.900 * * [misc]simplify: iters left: 5 (32 enodes) 1544092501.907 * * [misc]simplify: iters left: 4 (66 enodes) 1544092501.930 * * [misc]simplify: iters left: 3 (135 enodes) 1544092501.982 * * [misc]simplify: iters left: 2 (266 enodes) 1544092502.092 * * [misc]simplify: iters left: 1 (376 enodes) 1544092502.293 * [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))))) 1544092502.293 * [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)))))))) 1544092502.293 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092502.293 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.298 * * [misc]simplify: iters left: 5 (21 enodes) 1544092502.302 * * [misc]simplify: iters left: 4 (27 enodes) 1544092502.305 * * [misc]simplify: iters left: 3 (29 enodes) 1544092502.309 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092502.309 * [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))))) 1544092502.309 * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # 1544092502.310 * [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)))))) 1544092502.310 * * [misc]simplify: iters left: 6 (18 enodes) 1544092502.312 * * [misc]simplify: iters left: 5 (27 enodes) 1544092502.317 * * [misc]simplify: iters left: 4 (45 enodes) 1544092502.324 * * [misc]simplify: iters left: 3 (86 enodes) 1544092502.351 * * [misc]simplify: iters left: 2 (137 enodes) 1544092502.404 * * [misc]simplify: iters left: 1 (166 enodes) 1544092502.464 * [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)))))) 1544092502.464 * [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)))))))) 1544092502.464 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092502.464 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.466 * * [misc]simplify: iters left: 5 (21 enodes) 1544092502.469 * * [misc]simplify: iters left: 4 (27 enodes) 1544092502.473 * * [misc]simplify: iters left: 3 (29 enodes) 1544092502.478 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092502.478 * [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))))) 1544092502.478 * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # 1544092502.478 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092502.478 * * [misc]simplify: iters left: 6 (15 enodes) 1544092502.480 * * [misc]simplify: iters left: 5 (25 enodes) 1544092502.485 * * [misc]simplify: iters left: 4 (46 enodes) 1544092502.492 * * [misc]simplify: iters left: 3 (70 enodes) 1544092502.503 * * [misc]simplify: iters left: 2 (144 enodes) 1544092502.554 * * [misc]simplify: iters left: 1 (214 enodes) 1544092502.585 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1544092502.585 * [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))))))) 1544092502.585 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092502.585 * * [misc]simplify: iters left: 6 (15 enodes) 1544092502.587 * * [misc]simplify: iters left: 5 (20 enodes) 1544092502.593 * * [misc]simplify: iters left: 4 (26 enodes) 1544092502.600 * * [misc]simplify: iters left: 3 (28 enodes) 1544092502.607 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092502.607 * [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))))))) 1544092502.607 * * * * [misc]progress: [ 90 / 258 ] simplifiying candidate # 1544092502.608 * [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))) 1544092502.608 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.613 * * [misc]simplify: iters left: 5 (24 enodes) 1544092502.618 * * [misc]simplify: iters left: 4 (34 enodes) 1544092502.622 * * [misc]simplify: iters left: 3 (46 enodes) 1544092502.628 * * [misc]simplify: iters left: 2 (58 enodes) 1544092502.636 * * [misc]simplify: iters left: 1 (64 enodes) 1544092502.650 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092502.650 * [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))))))) 1544092502.650 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092502.650 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.655 * * [misc]simplify: iters left: 5 (22 enodes) 1544092502.661 * * [misc]simplify: iters left: 4 (26 enodes) 1544092502.668 * * [misc]simplify: iters left: 3 (28 enodes) 1544092502.675 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092502.675 * [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))))))) 1544092502.676 * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # 1544092502.676 * [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))) 1544092502.676 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.681 * * [misc]simplify: iters left: 5 (24 enodes) 1544092502.685 * * [misc]simplify: iters left: 4 (34 enodes) 1544092502.690 * * [misc]simplify: iters left: 3 (46 enodes) 1544092502.696 * * [misc]simplify: iters left: 2 (58 enodes) 1544092502.704 * * [misc]simplify: iters left: 1 (64 enodes) 1544092502.713 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092502.713 * [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))))))) 1544092502.713 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092502.713 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.716 * * [misc]simplify: iters left: 5 (22 enodes) 1544092502.719 * * [misc]simplify: iters left: 4 (26 enodes) 1544092502.723 * * [misc]simplify: iters left: 3 (28 enodes) 1544092502.726 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092502.726 * [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))))))) 1544092502.726 * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # 1544092502.726 * [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))))) 1544092502.727 * * [misc]simplify: iters left: 6 (15 enodes) 1544092502.730 * * [misc]simplify: iters left: 5 (21 enodes) 1544092502.737 * * [misc]simplify: iters left: 4 (31 enodes) 1544092502.747 * * [misc]simplify: iters left: 3 (43 enodes) 1544092502.758 * * [misc]simplify: iters left: 2 (55 enodes) 1544092502.773 * * [misc]simplify: iters left: 1 (61 enodes) 1544092502.790 * [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)))))) 1544092502.790 * [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))))))) 1544092502.790 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092502.790 * * [misc]simplify: iters left: 6 (13 enodes) 1544092502.793 * * [misc]simplify: iters left: 5 (17 enodes) 1544092502.795 * * [misc]simplify: iters left: 4 (23 enodes) 1544092502.798 * * [misc]simplify: iters left: 3 (25 enodes) 1544092502.801 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092502.801 * [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))))))) 1544092502.801 * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # 1544092502.802 * [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))))))) 1544092502.802 * * [misc]simplify: iters left: 6 (18 enodes) 1544092502.804 * * [misc]simplify: iters left: 5 (27 enodes) 1544092502.808 * * [misc]simplify: iters left: 4 (41 enodes) 1544092502.815 * * [misc]simplify: iters left: 3 (67 enodes) 1544092502.832 * * [misc]simplify: iters left: 2 (106 enodes) 1544092502.870 * * [misc]simplify: iters left: 1 (137 enodes) 1544092502.898 * [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))))))) 1544092502.898 * [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)))))))) 1544092502.898 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092502.898 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.900 * * [misc]simplify: iters left: 5 (21 enodes) 1544092502.903 * * [misc]simplify: iters left: 4 (27 enodes) 1544092502.907 * * [misc]simplify: iters left: 3 (29 enodes) 1544092502.914 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092502.914 * [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))))) 1544092502.914 * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # 1544092502.915 * [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)))))) 1544092502.915 * * [misc]simplify: iters left: 6 (17 enodes) 1544092502.920 * * [misc]simplify: iters left: 5 (24 enodes) 1544092502.927 * * [misc]simplify: iters left: 4 (34 enodes) 1544092502.932 * * [misc]simplify: iters left: 3 (46 enodes) 1544092502.938 * * [misc]simplify: iters left: 2 (58 enodes) 1544092502.947 * * [misc]simplify: iters left: 1 (64 enodes) 1544092502.957 * [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)))))) 1544092502.957 * [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)))))))) 1544092502.957 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092502.957 * * [misc]simplify: iters left: 6 (16 enodes) 1544092502.959 * * [misc]simplify: iters left: 5 (21 enodes) 1544092502.962 * * [misc]simplify: iters left: 4 (27 enodes) 1544092502.969 * * [misc]simplify: iters left: 3 (29 enodes) 1544092502.976 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092502.976 * [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))))) 1544092502.976 * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # 1544092502.977 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1544092502.977 * * [misc]simplify: iters left: 6 (14 enodes) 1544092502.981 * * [misc]simplify: iters left: 5 (22 enodes) 1544092502.988 * * [misc]simplify: iters left: 4 (33 enodes) 1544092502.996 * * [misc]simplify: iters left: 3 (44 enodes) 1544092503.005 * * [misc]simplify: iters left: 2 (45 enodes) 1544092503.009 * * [misc]simplify: iters left: 1 (51 enodes) 1544092503.015 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092503.015 * [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))))))) 1544092503.015 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092503.015 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.018 * * [misc]simplify: iters left: 5 (20 enodes) 1544092503.020 * * [misc]simplify: iters left: 4 (26 enodes) 1544092503.024 * * [misc]simplify: iters left: 3 (28 enodes) 1544092503.028 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092503.028 * [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))))))) 1544092503.028 * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # 1544092503.028 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544092503.028 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.030 * * [misc]simplify: iters left: 5 (25 enodes) 1544092503.037 * * [misc]simplify: iters left: 4 (35 enodes) 1544092503.048 * * [misc]simplify: iters left: 3 (50 enodes) 1544092503.064 * * [misc]simplify: iters left: 2 (98 enodes) 1544092503.109 * * [misc]simplify: iters left: 1 (235 enodes) 1544092503.199 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1544092503.199 * [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))))))) 1544092503.200 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092503.200 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.204 * * [misc]simplify: iters left: 5 (21 enodes) 1544092503.210 * * [misc]simplify: iters left: 4 (25 enodes) 1544092503.217 * * [misc]simplify: iters left: 3 (27 enodes) 1544092503.222 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544092503.222 * [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)))))) 1544092503.222 * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # 1544092503.222 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544092503.222 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.225 * * [misc]simplify: iters left: 5 (25 enodes) 1544092503.228 * * [misc]simplify: iters left: 4 (35 enodes) 1544092503.233 * * [misc]simplify: iters left: 3 (50 enodes) 1544092503.241 * * [misc]simplify: iters left: 2 (98 enodes) 1544092503.286 * * [misc]simplify: iters left: 1 (235 enodes) 1544092503.373 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (* n 2))) 1544092503.373 * [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))))))) 1544092503.374 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092503.374 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.376 * * [misc]simplify: iters left: 5 (21 enodes) 1544092503.379 * * [misc]simplify: iters left: 4 (25 enodes) 1544092503.382 * * [misc]simplify: iters left: 3 (27 enodes) 1544092503.386 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544092503.386 * [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)))))) 1544092503.386 * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # 1544092503.386 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092503.386 * * [misc]simplify: iters left: 6 (14 enodes) 1544092503.388 * * [misc]simplify: iters left: 5 (22 enodes) 1544092503.391 * * [misc]simplify: iters left: 4 (32 enodes) 1544092503.396 * * [misc]simplify: iters left: 3 (47 enodes) 1544092503.408 * * [misc]simplify: iters left: 2 (95 enodes) 1544092503.433 * * [misc]simplify: iters left: 1 (215 enodes) 1544092503.502 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092503.502 * [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))))))) 1544092503.502 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092503.502 * * [misc]simplify: iters left: 6 (12 enodes) 1544092503.504 * * [misc]simplify: iters left: 5 (16 enodes) 1544092503.509 * * [misc]simplify: iters left: 4 (22 enodes) 1544092503.515 * * [misc]simplify: iters left: 3 (24 enodes) 1544092503.521 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092503.521 * [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))))))) 1544092503.521 * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # 1544092503.522 * [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))))))) 1544092503.522 * * [misc]simplify: iters left: 6 (17 enodes) 1544092503.528 * * [misc]simplify: iters left: 5 (28 enodes) 1544092503.536 * * [misc]simplify: iters left: 4 (42 enodes) 1544092503.549 * * [misc]simplify: iters left: 3 (69 enodes) 1544092503.573 * * [misc]simplify: iters left: 2 (137 enodes) 1544092503.621 * * [misc]simplify: iters left: 1 (398 enodes) 1544092503.914 * [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)))))) 1544092503.914 * [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)))))))) 1544092503.914 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092503.914 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.918 * * [misc]simplify: iters left: 5 (20 enodes) 1544092503.921 * * [misc]simplify: iters left: 4 (26 enodes) 1544092503.924 * * [misc]simplify: iters left: 3 (28 enodes) 1544092503.928 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092503.928 * [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))))))) 1544092503.928 * * * * [misc]progress: [ 100 / 258 ] simplifiying candidate # 1544092503.929 * [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)))))) 1544092503.929 * * [misc]simplify: iters left: 6 (16 enodes) 1544092503.931 * * [misc]simplify: iters left: 5 (25 enodes) 1544092503.935 * * [misc]simplify: iters left: 4 (35 enodes) 1544092503.940 * * [misc]simplify: iters left: 3 (50 enodes) 1544092503.947 * * [misc]simplify: iters left: 2 (73 enodes) 1544092503.960 * * [misc]simplify: iters left: 1 (148 enodes) 1544092503.995 * [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)))))) 1544092503.995 * [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)))))))) 1544092503.995 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092503.995 * * [misc]simplify: iters left: 6 (15 enodes) 1544092503.998 * * [misc]simplify: iters left: 5 (20 enodes) 1544092504.001 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.004 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.008 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092504.008 * [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))))))) 1544092504.008 * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # 1544092504.008 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ 1 1)) 1544092504.008 * * [misc]simplify: iters left: 6 (12 enodes) 1544092504.010 * * [misc]simplify: iters left: 5 (18 enodes) 1544092504.014 * * [misc]simplify: iters left: 4 (21 enodes) 1544092504.020 * * [misc]simplify: iters left: 3 (29 enodes) 1544092504.027 * * [misc]simplify: iters left: 2 (31 enodes) 1544092504.034 * * [misc]simplify: iters left: 1 (38 enodes) 1544092504.043 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092504.043 * [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))))))) 1544092504.043 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092504.044 * * [misc]simplify: iters left: 6 (14 enodes) 1544092504.048 * * [misc]simplify: iters left: 5 (19 enodes) 1544092504.053 * * [misc]simplify: iters left: 4 (25 enodes) 1544092504.060 * * [misc]simplify: iters left: 3 (27 enodes) 1544092504.067 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092504.067 * [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))))))) 1544092504.067 * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # 1544092504.068 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1) 1544092504.068 * * [misc]simplify: iters left: 6 (11 enodes) 1544092504.071 * * [misc]simplify: iters left: 5 (17 enodes) 1544092504.076 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.083 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.089 * * [misc]simplify: iters left: 2 (33 enodes) 1544092504.097 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092504.097 * [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))))))) 1544092504.098 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092504.098 * * [misc]simplify: iters left: 6 (14 enodes) 1544092504.102 * * [misc]simplify: iters left: 5 (19 enodes) 1544092504.108 * * [misc]simplify: iters left: 4 (25 enodes) 1544092504.112 * * [misc]simplify: iters left: 3 (27 enodes) 1544092504.116 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092504.116 * [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))))))) 1544092504.116 * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # 1544092504.116 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt k)) 1544092504.116 * * [misc]simplify: iters left: 6 (11 enodes) 1544092504.118 * * [misc]simplify: iters left: 5 (15 enodes) 1544092504.120 * * [misc]simplify: iters left: 4 (20 enodes) 1544092504.123 * * [misc]simplify: iters left: 3 (21 enodes) 1544092504.126 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092504.126 * [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))))))) 1544092504.126 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092504.126 * * [misc]simplify: iters left: 6 (14 enodes) 1544092504.128 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.131 * * [misc]simplify: iters left: 4 (27 enodes) 1544092504.135 * * [misc]simplify: iters left: 3 (37 enodes) 1544092504.145 * * [misc]simplify: iters left: 2 (39 enodes) 1544092504.153 * * [misc]simplify: iters left: 1 (44 enodes) 1544092504.163 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092504.163 * [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))))))) 1544092504.163 * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # 1544092504.163 * [enter]simplify: Simplifying (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092504.163 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.166 * * [misc]simplify: iters left: 5 (23 enodes) 1544092504.169 * * [misc]simplify: iters left: 4 (33 enodes) 1544092504.174 * * [misc]simplify: iters left: 3 (45 enodes) 1544092504.180 * * [misc]simplify: iters left: 2 (57 enodes) 1544092504.187 * * [misc]simplify: iters left: 1 (63 enodes) 1544092504.201 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (* n 2))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092504.201 * [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))))) 1544092504.201 * [enter]simplify: Simplifying (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092504.201 * * [misc]simplify: iters left: 6 (12 enodes) 1544092504.206 * * [misc]simplify: iters left: 5 (15 enodes) 1544092504.211 * * [misc]simplify: iters left: 4 (18 enodes) 1544092504.216 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092504.216 * [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))))) 1544092504.216 * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # 1544092504.216 * [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))))))) 1544092504.216 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.221 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.227 * * [misc]simplify: iters left: 4 (24 enodes) 1544092504.234 * [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)))))) 1544092504.234 * [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)))))))) 1544092504.235 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.235 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.239 * * [misc]simplify: iters left: 5 (18 enodes) 1544092504.244 * * [misc]simplify: iters left: 4 (21 enodes) 1544092504.249 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092504.249 * [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)))))))) 1544092504.249 * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # 1544092504.249 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.249 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.251 * * [misc]simplify: iters left: 5 (18 enodes) 1544092504.254 * * [misc]simplify: iters left: 4 (21 enodes) 1544092504.257 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092504.257 * [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)))))))) 1544092504.257 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.257 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.259 * * [misc]simplify: iters left: 5 (18 enodes) 1544092504.262 * * [misc]simplify: iters left: 4 (21 enodes) 1544092504.265 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092504.265 * [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)))))))) 1544092504.265 * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # 1544092504.265 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092504.265 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.268 * * [misc]simplify: iters left: 5 (24 enodes) 1544092504.271 * * [misc]simplify: iters left: 4 (34 enodes) 1544092504.276 * * [misc]simplify: iters left: 3 (46 enodes) 1544092504.282 * * [misc]simplify: iters left: 2 (51 enodes) 1544092504.294 * * [misc]simplify: iters left: 1 (58 enodes) 1544092504.308 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1544092504.308 * [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))))))) 1544092504.309 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.309 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.314 * * [misc]simplify: iters left: 5 (22 enodes) 1544092504.321 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.327 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.334 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.335 * [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))))))) 1544092504.335 * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # 1544092504.335 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092504.335 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.340 * * [misc]simplify: iters left: 5 (24 enodes) 1544092504.347 * * [misc]simplify: iters left: 4 (34 enodes) 1544092504.357 * * [misc]simplify: iters left: 3 (46 enodes) 1544092504.369 * * [misc]simplify: iters left: 2 (51 enodes) 1544092504.381 * * [misc]simplify: iters left: 1 (58 enodes) 1544092504.396 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* 2 n)))) 1544092504.396 * [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))))))) 1544092504.396 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.397 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.401 * * [misc]simplify: iters left: 5 (22 enodes) 1544092504.407 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.414 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.421 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.422 * [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))))))) 1544092504.422 * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # 1544092504.422 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092504.422 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.427 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.433 * * [misc]simplify: iters left: 4 (31 enodes) 1544092504.442 * * [misc]simplify: iters left: 3 (43 enodes) 1544092504.453 * * [misc]simplify: iters left: 2 (48 enodes) 1544092504.466 * * [misc]simplify: iters left: 1 (55 enodes) 1544092504.481 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092504.481 * [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))))))) 1544092504.481 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092504.481 * * [misc]simplify: iters left: 6 (13 enodes) 1544092504.485 * * [misc]simplify: iters left: 5 (17 enodes) 1544092504.491 * * [misc]simplify: iters left: 4 (23 enodes) 1544092504.497 * * [misc]simplify: iters left: 3 (25 enodes) 1544092504.504 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092504.504 * [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))))))) 1544092504.504 * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # 1544092504.504 * [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))))))) 1544092504.504 * * [misc]simplify: iters left: 6 (18 enodes) 1544092504.510 * * [misc]simplify: iters left: 5 (29 enodes) 1544092504.519 * * [misc]simplify: iters left: 4 (50 enodes) 1544092504.534 * * [misc]simplify: iters left: 3 (73 enodes) 1544092504.554 * * [misc]simplify: iters left: 2 (103 enodes) 1544092504.569 * * [misc]simplify: iters left: 1 (127 enodes) 1544092504.597 * [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))))) 1544092504.597 * [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)))))))) 1544092504.598 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.598 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.602 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.608 * * [misc]simplify: iters left: 4 (27 enodes) 1544092504.615 * * [misc]simplify: iters left: 3 (29 enodes) 1544092504.619 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092504.619 * [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))))) 1544092504.619 * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # 1544092504.620 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.620 * * [misc]simplify: iters left: 6 (17 enodes) 1544092504.622 * * [misc]simplify: iters left: 5 (24 enodes) 1544092504.626 * * [misc]simplify: iters left: 4 (34 enodes) 1544092504.631 * * [misc]simplify: iters left: 3 (46 enodes) 1544092504.637 * * [misc]simplify: iters left: 2 (51 enodes) 1544092504.643 * * [misc]simplify: iters left: 1 (58 enodes) 1544092504.656 * [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)))))) 1544092504.656 * [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)))))))) 1544092504.656 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092504.656 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.661 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.667 * * [misc]simplify: iters left: 4 (27 enodes) 1544092504.674 * * [misc]simplify: iters left: 3 (29 enodes) 1544092504.679 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092504.680 * [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))))) 1544092504.680 * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # 1544092504.680 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092504.680 * * [misc]simplify: iters left: 6 (14 enodes) 1544092504.682 * * [misc]simplify: iters left: 5 (22 enodes) 1544092504.686 * * [misc]simplify: iters left: 4 (36 enodes) 1544092504.691 * * [misc]simplify: iters left: 3 (57 enodes) 1544092504.699 * * [misc]simplify: iters left: 2 (119 enodes) 1544092504.744 * * [misc]simplify: iters left: 1 (178 enodes) 1544092504.777 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092504.777 * [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))))))) 1544092504.777 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092504.778 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.782 * * [misc]simplify: iters left: 5 (20 enodes) 1544092504.789 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.796 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.804 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092504.804 * [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))))))) 1544092504.804 * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # 1544092504.804 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092504.804 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.809 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.815 * * [misc]simplify: iters left: 4 (27 enodes) 1544092504.822 * * [misc]simplify: iters left: 3 (29 enodes) 1544092504.830 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092504.830 * [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))))))) 1544092504.830 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.830 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.835 * * [misc]simplify: iters left: 5 (22 enodes) 1544092504.841 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.848 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.856 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.856 * [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))))))) 1544092504.856 * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # 1544092504.856 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092504.856 * * [misc]simplify: iters left: 6 (15 enodes) 1544092504.861 * * [misc]simplify: iters left: 5 (21 enodes) 1544092504.867 * * [misc]simplify: iters left: 4 (27 enodes) 1544092504.874 * * [misc]simplify: iters left: 3 (29 enodes) 1544092504.882 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092504.882 * [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))))))) 1544092504.882 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.882 * * [misc]simplify: iters left: 6 (16 enodes) 1544092504.887 * * [misc]simplify: iters left: 5 (22 enodes) 1544092504.894 * * [misc]simplify: iters left: 4 (26 enodes) 1544092504.901 * * [misc]simplify: iters left: 3 (28 enodes) 1544092504.908 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092504.908 * [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))))))) 1544092504.909 * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # 1544092504.909 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092504.909 * * [misc]simplify: iters left: 6 (14 enodes) 1544092504.913 * * [misc]simplify: iters left: 5 (18 enodes) 1544092504.919 * * [misc]simplify: iters left: 4 (24 enodes) 1544092504.926 * * [misc]simplify: iters left: 3 (26 enodes) 1544092504.933 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092504.933 * [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))))))) 1544092504.933 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092504.933 * * [misc]simplify: iters left: 6 (13 enodes) 1544092504.937 * * [misc]simplify: iters left: 5 (17 enodes) 1544092504.943 * * [misc]simplify: iters left: 4 (23 enodes) 1544092504.949 * * [misc]simplify: iters left: 3 (25 enodes) 1544092504.956 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092504.956 * [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))))))) 1544092504.956 * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # 1544092504.956 * [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))))))) 1544092504.956 * * [misc]simplify: iters left: 6 (17 enodes) 1544092504.961 * * [misc]simplify: iters left: 5 (24 enodes) 1544092504.968 * * [misc]simplify: iters left: 4 (32 enodes) 1544092504.977 * * [misc]simplify: iters left: 3 (41 enodes) 1544092504.988 * * [misc]simplify: iters left: 2 (49 enodes) 1544092505.000 * * [misc]simplify: iters left: 1 (51 enodes) 1544092505.009 * [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)))))) 1544092505.009 * [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)))))))) 1544092505.009 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.009 * * [misc]simplify: iters left: 6 (16 enodes) 1544092505.011 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.014 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.018 * * [misc]simplify: iters left: 3 (29 enodes) 1544092505.022 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092505.022 * [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))))) 1544092505.022 * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # 1544092505.022 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.022 * * [misc]simplify: iters left: 6 (16 enodes) 1544092505.025 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.028 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.031 * * [misc]simplify: iters left: 3 (29 enodes) 1544092505.035 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092505.035 * [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)))))))) 1544092505.036 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.036 * * [misc]simplify: iters left: 6 (16 enodes) 1544092505.038 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.041 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.046 * * [misc]simplify: iters left: 3 (29 enodes) 1544092505.053 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092505.053 * [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))))) 1544092505.053 * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # 1544092505.054 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) 1544092505.054 * * [misc]simplify: iters left: 6 (13 enodes) 1544092505.057 * * [misc]simplify: iters left: 5 (19 enodes) 1544092505.063 * * [misc]simplify: iters left: 4 (29 enodes) 1544092505.069 * * [misc]simplify: iters left: 3 (33 enodes) 1544092505.076 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092505.076 * [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))))))) 1544092505.076 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092505.076 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.080 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.086 * * [misc]simplify: iters left: 4 (26 enodes) 1544092505.092 * * [misc]simplify: iters left: 3 (28 enodes) 1544092505.098 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092505.098 * [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))))))) 1544092505.099 * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # 1544092505.099 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1544092505.099 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.103 * * [misc]simplify: iters left: 5 (22 enodes) 1544092505.108 * * [misc]simplify: iters left: 4 (28 enodes) 1544092505.116 * * [misc]simplify: iters left: 3 (38 enodes) 1544092505.124 * * [misc]simplify: iters left: 2 (40 enodes) 1544092505.131 * * [misc]simplify: iters left: 1 (45 enodes) 1544092505.140 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092505.140 * [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))))))) 1544092505.141 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092505.141 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.145 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.150 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.156 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.162 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544092505.162 * [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)))))) 1544092505.163 * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # 1544092505.163 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) 1544092505.163 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.167 * * [misc]simplify: iters left: 5 (22 enodes) 1544092505.172 * * [misc]simplify: iters left: 4 (28 enodes) 1544092505.179 * * [misc]simplify: iters left: 3 (38 enodes) 1544092505.189 * * [misc]simplify: iters left: 2 (40 enodes) 1544092505.196 * * [misc]simplify: iters left: 1 (45 enodes) 1544092505.205 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092505.205 * [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))))))) 1544092505.205 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092505.205 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.209 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.215 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.221 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.227 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (/ (- k) 2)))) 1544092505.227 * [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)))))) 1544092505.227 * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # 1544092505.228 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092505.228 * * [misc]simplify: iters left: 6 (13 enodes) 1544092505.231 * * [misc]simplify: iters left: 5 (19 enodes) 1544092505.236 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.243 * * [misc]simplify: iters left: 3 (35 enodes) 1544092505.251 * * [misc]simplify: iters left: 2 (37 enodes) 1544092505.257 * * [misc]simplify: iters left: 1 (42 enodes) 1544092505.266 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092505.266 * [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))))))) 1544092505.266 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092505.266 * * [misc]simplify: iters left: 6 (12 enodes) 1544092505.269 * * [misc]simplify: iters left: 5 (16 enodes) 1544092505.273 * * [misc]simplify: iters left: 4 (22 enodes) 1544092505.279 * * [misc]simplify: iters left: 3 (24 enodes) 1544092505.284 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092505.284 * [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))))))) 1544092505.284 * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # 1544092505.284 * [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))))))) 1544092505.284 * * [misc]simplify: iters left: 6 (16 enodes) 1544092505.287 * * [misc]simplify: iters left: 5 (25 enodes) 1544092505.290 * * [misc]simplify: iters left: 4 (33 enodes) 1544092505.296 * * [misc]simplify: iters left: 3 (47 enodes) 1544092505.304 * * [misc]simplify: iters left: 2 (56 enodes) 1544092505.311 * * [misc]simplify: iters left: 1 (66 enodes) 1544092505.327 * [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))))) 1544092505.327 * [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)))))))) 1544092505.327 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.327 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.332 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.338 * * [misc]simplify: iters left: 4 (26 enodes) 1544092505.345 * * [misc]simplify: iters left: 3 (28 enodes) 1544092505.352 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092505.352 * [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))))))) 1544092505.352 * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # 1544092505.353 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.353 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.357 * * [misc]simplify: iters left: 5 (22 enodes) 1544092505.364 * * [misc]simplify: iters left: 4 (28 enodes) 1544092505.372 * * [misc]simplify: iters left: 3 (38 enodes) 1544092505.382 * * [misc]simplify: iters left: 2 (40 enodes) 1544092505.390 * * [misc]simplify: iters left: 1 (45 enodes) 1544092505.398 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092505.398 * [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)))))))) 1544092505.398 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.398 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.401 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.404 * * [misc]simplify: iters left: 4 (26 enodes) 1544092505.407 * * [misc]simplify: iters left: 3 (28 enodes) 1544092505.411 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092505.411 * [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))))))) 1544092505.411 * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # 1544092505.412 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) 1544092505.412 * * [misc]simplify: iters left: 6 (11 enodes) 1544092505.413 * * [misc]simplify: iters left: 5 (15 enodes) 1544092505.415 * * [misc]simplify: iters left: 4 (18 enodes) 1544092505.419 * * [misc]simplify: iters left: 3 (20 enodes) 1544092505.421 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092505.421 * [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))))))) 1544092505.422 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092505.422 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.424 * * [misc]simplify: iters left: 5 (19 enodes) 1544092505.426 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.430 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.436 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092505.436 * [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))))))) 1544092505.436 * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # 1544092505.436 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) 1) 1544092505.436 * * [misc]simplify: iters left: 6 (10 enodes) 1544092505.440 * * [misc]simplify: iters left: 5 (14 enodes) 1544092505.442 * * [misc]simplify: iters left: 4 (19 enodes) 1544092505.445 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092505.445 * [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))))))) 1544092505.445 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092505.445 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.447 * * [misc]simplify: iters left: 5 (19 enodes) 1544092505.450 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.454 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.458 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092505.458 * [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))))))) 1544092505.458 * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # 1544092505.458 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092505.458 * * [misc]simplify: iters left: 6 (10 enodes) 1544092505.460 * * [misc]simplify: iters left: 5 (12 enodes) 1544092505.462 * * [misc]simplify: iters left: 4 (15 enodes) 1544092505.464 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092505.464 * [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))))))) 1544092505.464 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092505.465 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.467 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.470 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.474 * * [misc]simplify: iters left: 3 (37 enodes) 1544092505.483 * * [misc]simplify: iters left: 2 (39 enodes) 1544092505.490 * * [misc]simplify: iters left: 1 (44 enodes) 1544092505.500 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092505.501 * [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))))))) 1544092505.501 * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # 1544092505.501 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092505.501 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.505 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.511 * * [misc]simplify: iters left: 4 (26 enodes) 1544092505.518 * * [misc]simplify: iters left: 3 (28 enodes) 1544092505.525 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* 2 n)))) 1544092505.525 * [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))))) 1544092505.526 * [enter]simplify: Simplifying (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092505.526 * * [misc]simplify: iters left: 6 (12 enodes) 1544092505.530 * * [misc]simplify: iters left: 5 (15 enodes) 1544092505.535 * * [misc]simplify: iters left: 4 (18 enodes) 1544092505.540 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092505.540 * [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))))) 1544092505.540 * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # 1544092505.540 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092505.540 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.544 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.547 * * [misc]simplify: iters left: 4 (24 enodes) 1544092505.550 * [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)))))) 1544092505.550 * [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)))))))) 1544092505.550 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.550 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.552 * * [misc]simplify: iters left: 5 (17 enodes) 1544092505.555 * * [misc]simplify: iters left: 4 (20 enodes) 1544092505.558 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.558 * [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)))))))) 1544092505.558 * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # 1544092505.558 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.558 * * [misc]simplify: iters left: 6 (13 enodes) 1544092505.560 * * [misc]simplify: iters left: 5 (18 enodes) 1544092505.562 * * [misc]simplify: iters left: 4 (21 enodes) 1544092505.565 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.565 * [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)))))))) 1544092505.565 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.565 * * [misc]simplify: iters left: 6 (14 enodes) 1544092505.567 * * [misc]simplify: iters left: 5 (17 enodes) 1544092505.570 * * [misc]simplify: iters left: 4 (20 enodes) 1544092505.575 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092505.575 * [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)))))))) 1544092505.575 * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # 1544092505.575 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092505.575 * * [misc]simplify: iters left: 6 (12 enodes) 1544092505.579 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.584 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.592 * * [misc]simplify: iters left: 3 (37 enodes) 1544092505.605 * * [misc]simplify: iters left: 2 (64 enodes) 1544092505.626 * * [misc]simplify: iters left: 1 (93 enodes) 1544092505.660 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092505.660 * [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))))))) 1544092505.660 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092505.661 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.665 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.672 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.678 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.685 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092505.685 * [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)))))) 1544092505.685 * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # 1544092505.686 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092505.686 * * [misc]simplify: iters left: 6 (12 enodes) 1544092505.690 * * [misc]simplify: iters left: 5 (20 enodes) 1544092505.695 * * [misc]simplify: iters left: 4 (27 enodes) 1544092505.703 * * [misc]simplify: iters left: 3 (37 enodes) 1544092505.712 * * [misc]simplify: iters left: 2 (64 enodes) 1544092505.722 * * [misc]simplify: iters left: 1 (93 enodes) 1544092505.739 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092505.739 * [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))))))) 1544092505.739 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092505.740 * * [misc]simplify: iters left: 6 (15 enodes) 1544092505.744 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.750 * * [misc]simplify: iters left: 4 (25 enodes) 1544092505.757 * * [misc]simplify: iters left: 3 (27 enodes) 1544092505.765 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092505.765 * [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)))))) 1544092505.765 * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # 1544092505.766 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092505.766 * * [misc]simplify: iters left: 6 (13 enodes) 1544092505.770 * * [misc]simplify: iters left: 5 (21 enodes) 1544092505.776 * * [misc]simplify: iters left: 4 (31 enodes) 1544092505.785 * * [misc]simplify: iters left: 3 (51 enodes) 1544092505.797 * * [misc]simplify: iters left: 2 (90 enodes) 1544092505.812 * * [misc]simplify: iters left: 1 (181 enodes) 1544092505.884 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092505.884 * [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))))))) 1544092505.884 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092505.884 * * [misc]simplify: iters left: 6 (12 enodes) 1544092505.886 * * [misc]simplify: iters left: 5 (16 enodes) 1544092505.888 * * [misc]simplify: iters left: 4 (22 enodes) 1544092505.891 * * [misc]simplify: iters left: 3 (24 enodes) 1544092505.894 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544092505.894 * [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)))))) 1544092505.894 * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # 1544092505.894 * [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))))))) 1544092505.894 * * [misc]simplify: iters left: 6 (16 enodes) 1544092505.897 * * [misc]simplify: iters left: 5 (29 enodes) 1544092505.901 * * [misc]simplify: iters left: 4 (50 enodes) 1544092505.913 * * [misc]simplify: iters left: 3 (70 enodes) 1544092505.935 * * [misc]simplify: iters left: 2 (169 enodes) 1544092506.010 * [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)))) 1544092506.010 * [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)))))))) 1544092506.010 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.011 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.016 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.022 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.030 * * [misc]simplify: iters left: 3 (28 enodes) 1544092506.037 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092506.037 * [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))))))) 1544092506.037 * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # 1544092506.038 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.038 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.042 * * [misc]simplify: iters left: 5 (24 enodes) 1544092506.049 * * [misc]simplify: iters left: 4 (34 enodes) 1544092506.059 * * [misc]simplify: iters left: 3 (54 enodes) 1544092506.069 * * [misc]simplify: iters left: 2 (93 enodes) 1544092506.086 * * [misc]simplify: iters left: 1 (182 enodes) 1544092506.142 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092506.142 * [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)))))))) 1544092506.142 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.142 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.145 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.148 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.153 * * [misc]simplify: iters left: 3 (28 enodes) 1544092506.157 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092506.157 * [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))))))) 1544092506.157 * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # 1544092506.157 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092506.157 * * [misc]simplify: iters left: 6 (7 enodes) 1544092506.158 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.161 * * [misc]simplify: iters left: 4 (22 enodes) 1544092506.163 * * [misc]simplify: iters left: 3 (24 enodes) 1544092506.166 * * [misc]simplify: iters left: 2 (29 enodes) 1544092506.169 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1544092506.169 * [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))))))) 1544092506.169 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.169 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.172 * * [misc]simplify: iters left: 5 (19 enodes) 1544092506.174 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.178 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.182 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092506.182 * [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)))))) 1544092506.182 * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # 1544092506.183 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092506.183 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.184 * * [misc]simplify: iters left: 5 (17 enodes) 1544092506.187 * * [misc]simplify: iters left: 4 (20 enodes) 1544092506.191 * * [misc]simplify: iters left: 3 (22 enodes) 1544092506.198 * * [misc]simplify: iters left: 2 (34 enodes) 1544092506.207 * * [misc]simplify: iters left: 1 (42 enodes) 1544092506.216 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544092506.216 * [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))))))) 1544092506.216 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092506.216 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.221 * * [misc]simplify: iters left: 5 (21 enodes) 1544092506.227 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.233 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.240 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092506.241 * [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)))))) 1544092506.241 * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # 1544092506.241 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092506.241 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.244 * * [misc]simplify: iters left: 5 (17 enodes) 1544092506.249 * * [misc]simplify: iters left: 4 (20 enodes) 1544092506.254 * * [misc]simplify: iters left: 3 (22 enodes) 1544092506.261 * * [misc]simplify: iters left: 2 (34 enodes) 1544092506.270 * * [misc]simplify: iters left: 1 (42 enodes) 1544092506.279 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544092506.280 * [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))))))) 1544092506.280 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092506.280 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.284 * * [misc]simplify: iters left: 5 (21 enodes) 1544092506.290 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.296 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.303 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092506.303 * [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)))))) 1544092506.303 * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # 1544092506.304 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092506.304 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.306 * * [misc]simplify: iters left: 5 (18 enodes) 1544092506.309 * * [misc]simplify: iters left: 4 (24 enodes) 1544092506.312 * * [misc]simplify: iters left: 3 (32 enodes) 1544092506.317 * * [misc]simplify: iters left: 2 (41 enodes) 1544092506.322 * * [misc]simplify: iters left: 1 (51 enodes) 1544092506.328 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092506.328 * [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))))))) 1544092506.328 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092506.328 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.330 * * [misc]simplify: iters left: 5 (16 enodes) 1544092506.334 * * [misc]simplify: iters left: 4 (22 enodes) 1544092506.340 * * [misc]simplify: iters left: 3 (24 enodes) 1544092506.346 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544092506.346 * [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)))))) 1544092506.346 * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # 1544092506.347 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092506.347 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.352 * * [misc]simplify: iters left: 5 (24 enodes) 1544092506.359 * * [misc]simplify: iters left: 4 (32 enodes) 1544092506.368 * * [misc]simplify: iters left: 3 (43 enodes) 1544092506.381 * * [misc]simplify: iters left: 2 (69 enodes) 1544092506.407 * * [misc]simplify: iters left: 1 (119 enodes) 1544092506.451 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.451 * [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)))))))) 1544092506.451 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.451 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.454 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.457 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.461 * * [misc]simplify: iters left: 3 (28 enodes) 1544092506.465 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092506.465 * [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))))))) 1544092506.465 * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # 1544092506.465 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.465 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.467 * * [misc]simplify: iters left: 5 (21 enodes) 1544092506.470 * * [misc]simplify: iters left: 4 (27 enodes) 1544092506.474 * * [misc]simplify: iters left: 3 (35 enodes) 1544092506.479 * * [misc]simplify: iters left: 2 (43 enodes) 1544092506.489 * * [misc]simplify: iters left: 1 (56 enodes) 1544092506.504 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092506.505 * [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)))))))) 1544092506.505 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.505 * * [misc]simplify: iters left: 6 (15 enodes) 1544092506.509 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.515 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.523 * * [misc]simplify: iters left: 3 (28 enodes) 1544092506.530 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092506.530 * [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))))))) 1544092506.530 * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # 1544092506.531 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1544092506.531 * * [misc]simplify: iters left: 6 (6 enodes) 1544092506.532 * * [misc]simplify: iters left: 5 (10 enodes) 1544092506.534 * * [misc]simplify: iters left: 4 (16 enodes) 1544092506.536 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544092506.536 * [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))))))) 1544092506.536 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.536 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.538 * * [misc]simplify: iters left: 5 (19 enodes) 1544092506.541 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.545 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.548 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092506.548 * [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)))))) 1544092506.548 * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # 1544092506.549 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544092506.549 * * [misc]simplify: iters left: 6 (8 enodes) 1544092506.551 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.553 * * [misc]simplify: iters left: 4 (15 enodes) 1544092506.555 * * [misc]simplify: iters left: 3 (19 enodes) 1544092506.557 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544092506.557 * [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))))))) 1544092506.557 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092506.558 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.560 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.562 * * [misc]simplify: iters left: 4 (24 enodes) 1544092506.568 * * [misc]simplify: iters left: 3 (26 enodes) 1544092506.575 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092506.575 * [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)))) 1544092506.575 * * * * [misc]progress: [ 143 / 258 ] simplifiying candidate # 1544092506.575 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544092506.575 * * [misc]simplify: iters left: 6 (8 enodes) 1544092506.577 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.579 * * [misc]simplify: iters left: 4 (15 enodes) 1544092506.581 * * [misc]simplify: iters left: 3 (19 enodes) 1544092506.583 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544092506.583 * [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))))))) 1544092506.583 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092506.583 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.585 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.588 * * [misc]simplify: iters left: 4 (24 enodes) 1544092506.591 * * [misc]simplify: iters left: 3 (26 enodes) 1544092506.595 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092506.595 * [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)))) 1544092506.595 * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # 1544092506.595 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092506.595 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.597 * * [misc]simplify: iters left: 5 (16 enodes) 1544092506.600 * * [misc]simplify: iters left: 4 (20 enodes) 1544092506.603 * * [misc]simplify: iters left: 3 (24 enodes) 1544092506.605 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544092506.605 * [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))))))) 1544092506.606 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092506.606 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.607 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.610 * * [misc]simplify: iters left: 4 (21 enodes) 1544092506.612 * * [misc]simplify: iters left: 3 (23 enodes) 1544092506.615 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092506.615 * [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))))))) 1544092506.615 * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # 1544092506.616 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092506.616 * * [misc]simplify: iters left: 6 (13 enodes) 1544092506.618 * * [misc]simplify: iters left: 5 (22 enodes) 1544092506.621 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.625 * * [misc]simplify: iters left: 3 (32 enodes) 1544092506.629 * * [misc]simplify: iters left: 2 (34 enodes) 1544092506.633 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092506.633 * [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)))))))) 1544092506.633 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.633 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.635 * * [misc]simplify: iters left: 5 (19 enodes) 1544092506.638 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.641 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.645 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.645 * [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))))))) 1544092506.645 * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # 1544092506.645 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.645 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.647 * * [misc]simplify: iters left: 5 (19 enodes) 1544092506.650 * * [misc]simplify: iters left: 4 (23 enodes) 1544092506.653 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.657 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092506.657 * [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)))))))) 1544092506.657 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092506.657 * * [misc]simplify: iters left: 6 (14 enodes) 1544092506.659 * * [misc]simplify: iters left: 5 (19 enodes) 1544092506.662 * * [misc]simplify: iters left: 4 (25 enodes) 1544092506.667 * * [misc]simplify: iters left: 3 (27 enodes) 1544092506.675 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.675 * [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))))))) 1544092506.675 * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # 1544092506.675 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1544092506.675 * * [misc]simplify: iters left: 4 (3 enodes) 1544092506.676 * * [misc]simplify: iters left: 3 (5 enodes) 1544092506.677 * [exit]simplify: Simplified to 1 1544092506.677 * [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))))))) 1544092506.678 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.678 * * [misc]simplify: iters left: 6 (13 enodes) 1544092506.682 * * [misc]simplify: iters left: 5 (18 enodes) 1544092506.687 * * [misc]simplify: iters left: 4 (24 enodes) 1544092506.694 * * [misc]simplify: iters left: 3 (26 enodes) 1544092506.702 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092506.702 * [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)))) 1544092506.702 * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # 1544092506.702 * [enter]simplify: Simplifying (/ 1 1) 1544092506.702 * * [misc]simplify: iters left: 2 (2 enodes) 1544092506.703 * * [misc]simplify: iters left: 1 (4 enodes) 1544092506.704 * [exit]simplify: Simplified to 1 1544092506.704 * [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))))))) 1544092506.704 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.704 * * [misc]simplify: iters left: 6 (13 enodes) 1544092506.708 * * [misc]simplify: iters left: 5 (18 enodes) 1544092506.713 * * [misc]simplify: iters left: 4 (24 enodes) 1544092506.719 * * [misc]simplify: iters left: 3 (26 enodes) 1544092506.723 * [exit]simplify: Simplified to (/ (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092506.723 * [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)))) 1544092506.723 * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # 1544092506.723 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544092506.723 * * [misc]simplify: iters left: 3 (4 enodes) 1544092506.724 * * [misc]simplify: iters left: 2 (6 enodes) 1544092506.725 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544092506.725 * [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))))))) 1544092506.725 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.725 * * [misc]simplify: iters left: 6 (13 enodes) 1544092506.727 * * [misc]simplify: iters left: 5 (20 enodes) 1544092506.730 * * [misc]simplify: iters left: 4 (26 enodes) 1544092506.734 * * [misc]simplify: iters left: 3 (36 enodes) 1544092506.739 * * [misc]simplify: iters left: 2 (38 enodes) 1544092506.743 * * [misc]simplify: iters left: 1 (43 enodes) 1544092506.748 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1544092506.748 * [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)))))) 1544092506.748 * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # 1544092506.748 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1544092506.748 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.750 * * [misc]simplify: iters left: 5 (16 enodes) 1544092506.752 * * [misc]simplify: iters left: 4 (19 enodes) 1544092506.754 * * [misc]simplify: iters left: 3 (21 enodes) 1544092506.758 * * [misc]simplify: iters left: 2 (33 enodes) 1544092506.762 * * [misc]simplify: iters left: 1 (41 enodes) 1544092506.766 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1544092506.766 * [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))))) 1544092506.766 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (/ k 2))) 1544092506.766 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.768 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.770 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.772 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1544092506.772 * [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))))) 1544092506.772 * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # 1544092506.773 * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # 1544092506.773 * * * * [misc]progress: [ 153 / 258 ] simplifiying candidate # 1544092506.773 * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # 1544092506.773 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.773 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.775 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.776 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.779 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.779 * [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))))))) 1544092506.779 * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # 1544092506.779 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.779 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.782 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.784 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.786 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.786 * [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))))))) 1544092506.786 * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # 1544092506.786 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092506.786 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.788 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.790 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092506.790 * [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))))) 1544092506.790 * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # 1544092506.790 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092506.790 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.791 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.793 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092506.793 * [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))))) 1544092506.793 * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # 1544092506.793 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092506.793 * * [misc]simplify: iters left: 6 (9 enodes) 1544092506.795 * * [misc]simplify: iters left: 5 (11 enodes) 1544092506.798 * * [misc]simplify: iters left: 4 (14 enodes) 1544092506.801 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092506.802 * [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)))))) 1544092506.802 * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # 1544092506.802 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.802 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.806 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.810 * * [misc]simplify: iters left: 4 (18 enodes) 1544092506.815 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.815 * [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))))))) 1544092506.815 * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # 1544092506.815 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.815 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.819 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.823 * * [misc]simplify: iters left: 4 (18 enodes) 1544092506.828 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.828 * [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))))))) 1544092506.828 * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # 1544092506.828 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.828 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.832 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.836 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.841 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.841 * [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)))))) 1544092506.841 * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # 1544092506.841 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092506.841 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.844 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.848 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092506.848 * [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))))) 1544092506.848 * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # 1544092506.848 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092506.849 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.852 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.856 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092506.856 * [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))))) 1544092506.856 * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # 1544092506.856 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092506.856 * * [misc]simplify: iters left: 6 (9 enodes) 1544092506.859 * * [misc]simplify: iters left: 5 (11 enodes) 1544092506.862 * * [misc]simplify: iters left: 4 (14 enodes) 1544092506.866 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092506.866 * [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)))))) 1544092506.866 * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # 1544092506.867 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.867 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.871 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.875 * * [misc]simplify: iters left: 4 (18 enodes) 1544092506.881 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.881 * [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))))))) 1544092506.881 * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # 1544092506.882 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.882 * * [misc]simplify: iters left: 6 (12 enodes) 1544092506.885 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.890 * * [misc]simplify: iters left: 4 (18 enodes) 1544092506.895 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.895 * [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))))))) 1544092506.896 * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # 1544092506.896 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.896 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.899 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.903 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.908 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.908 * [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)))))) 1544092506.909 * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # 1544092506.909 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092506.909 * * [misc]simplify: iters left: 6 (9 enodes) 1544092506.912 * * [misc]simplify: iters left: 5 (12 enodes) 1544092506.916 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092506.916 * [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))))) 1544092506.916 * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # 1544092506.917 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092506.917 * * [misc]simplify: iters left: 6 (9 enodes) 1544092506.920 * * [misc]simplify: iters left: 5 (12 enodes) 1544092506.924 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092506.924 * [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))))) 1544092506.924 * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # 1544092506.925 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092506.925 * * [misc]simplify: iters left: 6 (8 enodes) 1544092506.927 * * [misc]simplify: iters left: 5 (10 enodes) 1544092506.930 * * [misc]simplify: iters left: 4 (13 enodes) 1544092506.934 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092506.934 * [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)))))) 1544092506.934 * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # 1544092506.934 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.934 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.938 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.942 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.946 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.947 * [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))))))) 1544092506.947 * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # 1544092506.947 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.947 * * [misc]simplify: iters left: 6 (11 enodes) 1544092506.950 * * [misc]simplify: iters left: 5 (14 enodes) 1544092506.954 * * [misc]simplify: iters left: 4 (17 enodes) 1544092506.959 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092506.959 * [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))))))) 1544092506.959 * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # 1544092506.959 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.960 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.963 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.966 * * [misc]simplify: iters left: 4 (16 enodes) 1544092506.971 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.971 * [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)))))) 1544092506.971 * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # 1544092506.971 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.971 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.974 * * [misc]simplify: iters left: 5 (13 enodes) 1544092506.978 * * [misc]simplify: iters left: 4 (16 enodes) 1544092506.983 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.983 * [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)))))) 1544092506.983 * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # 1544092506.983 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1544092506.983 * * [misc]simplify: iters left: 6 (10 enodes) 1544092506.986 * * [misc]simplify: iters left: 5 (15 enodes) 1544092506.990 * * [misc]simplify: iters left: 4 (18 enodes) 1544092506.995 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092506.995 * [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)))))) 1544092506.995 * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # 1544092506.995 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092506.996 * * [misc]simplify: iters left: 3 (6 enodes) 1544092506.998 * * [misc]simplify: iters left: 2 (7 enodes) 1544092507.000 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092507.000 * [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)))) 1544092507.000 * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # 1544092507.000 * [enter]simplify: Simplifying (pow PI 1/2) 1544092507.000 * * [misc]simplify: iters left: 1 (3 enodes) 1544092507.001 * [exit]simplify: Simplified to (sqrt PI) 1544092507.001 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1544092507.001 * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # 1544092507.002 * [enter]simplify: Simplifying (pow PI 1/2) 1544092507.002 * * [misc]simplify: iters left: 1 (3 enodes) 1544092507.003 * [exit]simplify: Simplified to (sqrt PI) 1544092507.003 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- (/ k 2)))))) 1544092507.003 * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # 1544092507.003 * [enter]simplify: Simplifying (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092507.003 * * [misc]simplify: iters left: 6 (9 enodes) 1544092507.006 * * [misc]simplify: iters left: 5 (11 enodes) 1544092507.009 * * [misc]simplify: iters left: 4 (14 enodes) 1544092507.013 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092507.013 * [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))))))) 1544092507.013 * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # 1544092507.013 * [enter]simplify: Simplifying (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092507.014 * * [misc]simplify: iters left: 6 (8 enodes) 1544092507.016 * * [misc]simplify: iters left: 5 (10 enodes) 1544092507.019 * * [misc]simplify: iters left: 4 (13 enodes) 1544092507.023 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092507.023 * [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))))))) 1544092507.023 * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # 1544092507.023 * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # 1544092507.023 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544092507.023 * * [misc]simplify: iters left: 5 (8 enodes) 1544092507.026 * * [misc]simplify: iters left: 4 (11 enodes) 1544092507.029 * * [misc]simplify: iters left: 3 (14 enodes) 1544092507.033 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544092507.033 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092507.033 * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # 1544092507.033 * [enter]simplify: Simplifying (pow PI 1/2) 1544092507.033 * * [misc]simplify: iters left: 1 (3 enodes) 1544092507.034 * [exit]simplify: Simplified to (sqrt PI) 1544092507.034 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (* (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (/ k 2))))) 1544092507.034 * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # 1544092507.035 * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # 1544092507.035 * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # 1544092507.035 * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # 1544092507.035 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544092507.035 * * [misc]simplify: iters left: 6 (12 enodes) 1544092507.039 * * [misc]simplify: iters left: 5 (21 enodes) 1544092507.045 * * [misc]simplify: iters left: 4 (44 enodes) 1544092507.062 * * [misc]simplify: iters left: 3 (133 enodes) 1544092507.129 * * [misc]simplify: iters left: 2 (379 enodes) 1544092507.301 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1544092507.301 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092507.301 * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # 1544092507.301 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544092507.301 * * [misc]simplify: iters left: 6 (12 enodes) 1544092507.304 * * [misc]simplify: iters left: 5 (21 enodes) 1544092507.307 * * [misc]simplify: iters left: 4 (44 enodes) 1544092507.317 * * [misc]simplify: iters left: 3 (133 enodes) 1544092507.363 * * [misc]simplify: iters left: 2 (379 enodes) 1544092507.548 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1544092507.548 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092507.548 * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # 1544092507.548 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1544092507.548 * * [misc]simplify: iters left: 6 (12 enodes) 1544092507.550 * * [misc]simplify: iters left: 5 (19 enodes) 1544092507.553 * * [misc]simplify: iters left: 4 (32 enodes) 1544092507.559 * * [misc]simplify: iters left: 3 (69 enodes) 1544092507.585 * * [misc]simplify: iters left: 2 (208 enodes) 1544092507.682 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1544092507.682 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092507.682 * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # 1544092507.682 * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # 1544092507.682 * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # 1544092507.682 * [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))))) 1544092507.682 * * [misc]simplify: iters left: 6 (14 enodes) 1544092507.685 * * [misc]simplify: iters left: 5 (26 enodes) 1544092507.689 * * [misc]simplify: iters left: 4 (58 enodes) 1544092507.699 * * [misc]simplify: iters left: 3 (117 enodes) 1544092507.727 * * [misc]simplify: iters left: 2 (193 enodes) 1544092507.820 * * [misc]simplify: iters left: 1 (263 enodes) 1544092507.955 * [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))))) 1544092507.955 * [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)))))))) 1544092507.955 * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # 1544092507.955 * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # 1544092507.956 * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # 1544092507.956 * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # 1544092507.956 * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # 1544092507.956 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544092507.956 * * [misc]simplify: iters left: 6 (10 enodes) 1544092507.959 * * [misc]simplify: iters left: 5 (14 enodes) 1544092507.964 * * [misc]simplify: iters left: 4 (16 enodes) 1544092507.968 * * [misc]simplify: iters left: 3 (17 enodes) 1544092507.970 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544092507.970 * [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))))))) 1544092507.971 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092507.971 * * [misc]simplify: iters left: 6 (10 enodes) 1544092507.972 * * [misc]simplify: iters left: 5 (13 enodes) 1544092507.974 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092507.974 * [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)))))) 1544092507.974 * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # 1544092507.974 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544092507.975 * * [misc]simplify: iters left: 6 (10 enodes) 1544092507.976 * * [misc]simplify: iters left: 5 (14 enodes) 1544092507.978 * * [misc]simplify: iters left: 4 (16 enodes) 1544092507.980 * * [misc]simplify: iters left: 3 (17 enodes) 1544092507.983 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544092507.983 * [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))))))) 1544092507.983 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092507.983 * * [misc]simplify: iters left: 6 (10 enodes) 1544092507.985 * * [misc]simplify: iters left: 5 (13 enodes) 1544092507.987 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092507.987 * [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)))))) 1544092507.987 * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # 1544092507.987 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092507.987 * * [misc]simplify: iters left: 6 (11 enodes) 1544092507.989 * * [misc]simplify: iters left: 5 (15 enodes) 1544092507.991 * * [misc]simplify: iters left: 4 (20 enodes) 1544092507.995 * * [misc]simplify: iters left: 3 (21 enodes) 1544092507.998 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092507.998 * [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))))))) 1544092507.998 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092507.998 * * [misc]simplify: iters left: 6 (9 enodes) 1544092507.999 * * [misc]simplify: iters left: 5 (11 enodes) 1544092508.002 * * [misc]simplify: iters left: 4 (14 enodes) 1544092508.004 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092508.004 * [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))))))) 1544092508.004 * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # 1544092508.004 * [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)))))) 1544092508.004 * * [misc]simplify: iters left: 6 (14 enodes) 1544092508.006 * * [misc]simplify: iters left: 5 (23 enodes) 1544092508.010 * * [misc]simplify: iters left: 4 (35 enodes) 1544092508.018 * * [misc]simplify: iters left: 3 (38 enodes) 1544092508.028 * * [misc]simplify: iters left: 2 (41 enodes) 1544092508.038 * [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)))))) 1544092508.039 * [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)))))))) 1544092508.039 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.039 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.043 * * [misc]simplify: iters left: 5 (15 enodes) 1544092508.047 * * [misc]simplify: iters left: 4 (18 enodes) 1544092508.052 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.052 * [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)))))))) 1544092508.052 * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # 1544092508.052 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.052 * * [misc]simplify: iters left: 6 (13 enodes) 1544092508.057 * * [misc]simplify: iters left: 5 (18 enodes) 1544092508.062 * * [misc]simplify: iters left: 4 (23 enodes) 1544092508.066 * * [misc]simplify: iters left: 3 (24 enodes) 1544092508.069 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.069 * [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)))))))) 1544092508.069 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.069 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.071 * * [misc]simplify: iters left: 5 (15 enodes) 1544092508.073 * * [misc]simplify: iters left: 4 (18 enodes) 1544092508.076 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.076 * [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)))))))) 1544092508.076 * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # 1544092508.076 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1544092508.076 * * [misc]simplify: iters left: 6 (6 enodes) 1544092508.077 * * [misc]simplify: iters left: 5 (10 enodes) 1544092508.079 * * [misc]simplify: iters left: 4 (16 enodes) 1544092508.081 * * [misc]simplify: iters left: 3 (18 enodes) 1544092508.083 * * [misc]simplify: iters left: 2 (23 enodes) 1544092508.085 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092508.085 * [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))))))) 1544092508.086 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.086 * * [misc]simplify: iters left: 6 (11 enodes) 1544092508.087 * * [misc]simplify: iters left: 5 (14 enodes) 1544092508.089 * * [misc]simplify: iters left: 4 (17 enodes) 1544092508.093 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.093 * [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))))))) 1544092508.093 * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # 1544092508.093 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544092508.093 * * [misc]simplify: iters left: 5 (9 enodes) 1544092508.096 * * [misc]simplify: iters left: 4 (11 enodes) 1544092508.100 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092508.100 * [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))))))) 1544092508.101 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092508.101 * * [misc]simplify: iters left: 6 (10 enodes) 1544092508.104 * * [misc]simplify: iters left: 5 (13 enodes) 1544092508.108 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092508.108 * [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)))))) 1544092508.108 * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # 1544092508.108 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544092508.108 * * [misc]simplify: iters left: 5 (9 enodes) 1544092508.111 * * [misc]simplify: iters left: 4 (11 enodes) 1544092508.114 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092508.114 * [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))))))) 1544092508.115 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092508.115 * * [misc]simplify: iters left: 6 (10 enodes) 1544092508.118 * * [misc]simplify: iters left: 5 (13 enodes) 1544092508.122 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092508.122 * [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)))))) 1544092508.122 * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # 1544092508.122 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544092508.122 * * [misc]simplify: iters left: 6 (10 enodes) 1544092508.125 * * [misc]simplify: iters left: 5 (12 enodes) 1544092508.129 * * [misc]simplify: iters left: 4 (15 enodes) 1544092508.133 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544092508.133 * [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))))))) 1544092508.134 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092508.134 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.136 * * [misc]simplify: iters left: 5 (11 enodes) 1544092508.140 * * [misc]simplify: iters left: 4 (14 enodes) 1544092508.144 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092508.144 * [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))))))) 1544092508.144 * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # 1544092508.144 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092508.144 * * [misc]simplify: iters left: 6 (13 enodes) 1544092508.148 * * [misc]simplify: iters left: 5 (18 enodes) 1544092508.154 * * [misc]simplify: iters left: 4 (21 enodes) 1544092508.160 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092508.160 * [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)))))))) 1544092508.160 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.160 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.164 * * [misc]simplify: iters left: 5 (15 enodes) 1544092508.168 * * [misc]simplify: iters left: 4 (18 enodes) 1544092508.173 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.173 * [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)))))))) 1544092508.174 * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # 1544092508.174 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.174 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.178 * * [misc]simplify: iters left: 5 (15 enodes) 1544092508.182 * * [misc]simplify: iters left: 4 (18 enodes) 1544092508.187 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.187 * [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)))))))) 1544092508.188 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.188 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.191 * * [misc]simplify: iters left: 5 (15 enodes) 1544092508.196 * * [misc]simplify: iters left: 4 (18 enodes) 1544092508.200 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.201 * [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)))))))) 1544092508.201 * * * * [misc]progress: [ 208 / 258 ] simplifiying candidate # 1544092508.201 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1544092508.201 * * [misc]simplify: iters left: 4 (5 enodes) 1544092508.202 * * [misc]simplify: iters left: 3 (7 enodes) 1544092508.205 * * [misc]simplify: iters left: 2 (9 enodes) 1544092508.206 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092508.206 * [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))))))) 1544092508.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.207 * * [misc]simplify: iters left: 6 (11 enodes) 1544092508.210 * * [misc]simplify: iters left: 5 (14 enodes) 1544092508.214 * * [misc]simplify: iters left: 4 (17 enodes) 1544092508.219 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.219 * [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))))))) 1544092508.219 * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # 1544092508.219 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544092508.219 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.221 * * [misc]simplify: iters left: 4 (11 enodes) 1544092508.224 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544092508.224 * [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))))))) 1544092508.224 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092508.224 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.227 * * [misc]simplify: iters left: 5 (12 enodes) 1544092508.230 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092508.231 * [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)))))) 1544092508.231 * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # 1544092508.231 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544092508.231 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.233 * * [misc]simplify: iters left: 4 (11 enodes) 1544092508.236 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544092508.236 * [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))))))) 1544092508.237 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092508.237 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.239 * * [misc]simplify: iters left: 5 (12 enodes) 1544092508.243 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092508.243 * [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)))))) 1544092508.243 * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # 1544092508.243 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1544092508.244 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.246 * * [misc]simplify: iters left: 5 (13 enodes) 1544092508.250 * * [misc]simplify: iters left: 4 (16 enodes) 1544092508.255 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1544092508.255 * [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))))))) 1544092508.256 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092508.256 * * [misc]simplify: iters left: 6 (8 enodes) 1544092508.258 * * [misc]simplify: iters left: 5 (10 enodes) 1544092508.261 * * [misc]simplify: iters left: 4 (13 enodes) 1544092508.265 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092508.265 * [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))))))) 1544092508.265 * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # 1544092508.265 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092508.266 * * [misc]simplify: iters left: 6 (12 enodes) 1544092508.268 * * [misc]simplify: iters left: 5 (19 enodes) 1544092508.271 * * [misc]simplify: iters left: 4 (22 enodes) 1544092508.274 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092508.274 * [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)))))))) 1544092508.274 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.274 * * [misc]simplify: iters left: 6 (11 enodes) 1544092508.276 * * [misc]simplify: iters left: 5 (14 enodes) 1544092508.278 * * [misc]simplify: iters left: 4 (17 enodes) 1544092508.280 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.281 * [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)))))))) 1544092508.281 * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # 1544092508.281 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.281 * * [misc]simplify: iters left: 6 (11 enodes) 1544092508.283 * * [misc]simplify: iters left: 5 (16 enodes) 1544092508.285 * * [misc]simplify: iters left: 4 (19 enodes) 1544092508.288 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092508.288 * [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)))))))) 1544092508.288 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.288 * * [misc]simplify: iters left: 6 (11 enodes) 1544092508.291 * * [misc]simplify: iters left: 5 (14 enodes) 1544092508.295 * * [misc]simplify: iters left: 4 (17 enodes) 1544092508.300 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092508.300 * [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)))))))) 1544092508.300 * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # 1544092508.300 * [enter]simplify: Simplifying (/ 1 1) 1544092508.300 * * [misc]simplify: iters left: 2 (2 enodes) 1544092508.301 * * [misc]simplify: iters left: 1 (4 enodes) 1544092508.301 * [exit]simplify: Simplified to 1 1544092508.301 * [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))))))) 1544092508.302 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.302 * * [misc]simplify: iters left: 6 (10 enodes) 1544092508.304 * * [misc]simplify: iters left: 5 (13 enodes) 1544092508.308 * * [misc]simplify: iters left: 4 (16 enodes) 1544092508.312 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.312 * [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))))))) 1544092508.312 * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # 1544092508.312 * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # 1544092508.312 * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # 1544092508.312 * * * * [misc]progress: [ 218 / 258 ] simplifiying candidate # 1544092508.312 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092508.312 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.314 * * [misc]simplify: iters left: 4 (10 enodes) 1544092508.317 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092508.317 * [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)))))) 1544092508.318 * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # 1544092508.318 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092508.318 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.321 * * [misc]simplify: iters left: 4 (10 enodes) 1544092508.324 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092508.324 * [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)))))) 1544092508.324 * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # 1544092508.324 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1544092508.324 * * [misc]simplify: iters left: 5 (6 enodes) 1544092508.326 * * [misc]simplify: iters left: 4 (8 enodes) 1544092508.328 * * [misc]simplify: iters left: 3 (11 enodes) 1544092508.331 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1544092508.331 * [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)))))) 1544092508.331 * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # 1544092508.332 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.332 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.334 * * [misc]simplify: iters left: 5 (12 enodes) 1544092508.338 * * [misc]simplify: iters left: 4 (15 enodes) 1544092508.342 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.342 * [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))))))) 1544092508.342 * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # 1544092508.342 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.342 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.345 * * [misc]simplify: iters left: 5 (12 enodes) 1544092508.349 * * [misc]simplify: iters left: 4 (15 enodes) 1544092508.353 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092508.353 * [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))))))) 1544092508.353 * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # 1544092508.353 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544092508.353 * * [misc]simplify: iters left: 5 (8 enodes) 1544092508.356 * * [misc]simplify: iters left: 4 (11 enodes) 1544092508.357 * * [misc]simplify: iters left: 3 (14 enodes) 1544092508.359 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544092508.359 * [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)))))) 1544092508.359 * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # 1544092508.360 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092508.360 * * [misc]simplify: iters left: 4 (4 enodes) 1544092508.360 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092508.360 * [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)))))) 1544092508.360 * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # 1544092508.360 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544092508.360 * * [misc]simplify: iters left: 2 (3 enodes) 1544092508.361 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092508.361 * [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)))))) 1544092508.361 * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # 1544092508.361 * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # 1544092508.361 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092508.361 * * [misc]simplify: iters left: 3 (6 enodes) 1544092508.362 * * [misc]simplify: iters left: 2 (7 enodes) 1544092508.363 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092508.363 * [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))))) 1544092508.363 * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # 1544092508.363 * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # 1544092508.363 * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # 1544092508.363 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544092508.363 * * [misc]simplify: iters left: 6 (9 enodes) 1544092508.365 * * [misc]simplify: iters left: 5 (16 enodes) 1544092508.368 * * [misc]simplify: iters left: 4 (32 enodes) 1544092508.375 * * [misc]simplify: iters left: 3 (72 enodes) 1544092508.405 * * [misc]simplify: iters left: 2 (195 enodes) 1544092508.476 * * [misc]simplify: iters left: 1 (418 enodes) 1544092508.656 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544092508.656 * [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))))))) 1544092508.656 * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # 1544092508.656 * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # 1544092508.657 * [enter]simplify: Simplifying (* n 2) 1544092508.657 * * [misc]simplify: iters left: 2 (3 enodes) 1544092508.657 * * [misc]simplify: iters left: 1 (4 enodes) 1544092508.658 * [exit]simplify: Simplified to (* n 2) 1544092508.658 * [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))))))) 1544092508.658 * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # 1544092508.658 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092508.658 * * [misc]simplify: iters left: 3 (6 enodes) 1544092508.659 * * [misc]simplify: iters left: 2 (7 enodes) 1544092508.661 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092508.661 * [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)))))) 1544092508.661 * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # 1544092508.662 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544092508.662 * * [misc]simplify: iters left: 5 (6 enodes) 1544092508.664 * * [misc]simplify: iters left: 4 (8 enodes) 1544092508.666 * * [misc]simplify: iters left: 3 (11 enodes) 1544092508.669 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544092508.670 * [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))))))) 1544092508.670 * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # 1544092508.670 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544092508.670 * * [misc]simplify: iters left: 5 (6 enodes) 1544092508.672 * * [misc]simplify: iters left: 4 (8 enodes) 1544092508.675 * * [misc]simplify: iters left: 3 (11 enodes) 1544092508.678 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544092508.678 * [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))))))) 1544092508.678 * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # 1544092508.678 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544092508.678 * * [misc]simplify: iters left: 4 (5 enodes) 1544092508.680 * * [misc]simplify: iters left: 3 (7 enodes) 1544092508.682 * * [misc]simplify: iters left: 2 (10 enodes) 1544092508.683 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544092508.683 * [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)))))) 1544092508.684 * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # 1544092508.684 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092508.684 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.685 * * [misc]simplify: iters left: 4 (10 enodes) 1544092508.686 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092508.686 * [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))))))) 1544092508.686 * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # 1544092508.686 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092508.686 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.688 * * [misc]simplify: iters left: 4 (10 enodes) 1544092508.689 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092508.689 * [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))))))) 1544092508.689 * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # 1544092508.689 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544092508.689 * * [misc]simplify: iters left: 5 (7 enodes) 1544092508.690 * * [misc]simplify: iters left: 4 (9 enodes) 1544092508.692 * * [misc]simplify: iters left: 3 (12 enodes) 1544092508.693 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544092508.693 * [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))))))) 1544092508.693 * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # 1544092508.693 * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # 1544092508.693 * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # 1544092508.693 * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # 1544092508.693 * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # 1544092508.694 * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # 1544092508.694 * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # 1544092508.694 * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # 1544092508.694 * [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)))) 1544092508.694 * * [misc]simplify: iters left: 6 (18 enodes) 1544092508.697 * * [misc]simplify: iters left: 5 (39 enodes) 1544092508.705 * * [misc]simplify: iters left: 4 (110 enodes) 1544092508.755 * * [misc]simplify: iters left: 3 (321 enodes) 1544092509.026 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1544092509.026 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092509.026 * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # 1544092509.026 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544092509.026 * * [misc]simplify: iters left: 5 (6 enodes) 1544092509.027 * * [misc]simplify: iters left: 4 (9 enodes) 1544092509.029 * * [misc]simplify: iters left: 3 (17 enodes) 1544092509.031 * * [misc]simplify: iters left: 2 (24 enodes) 1544092509.034 * * [misc]simplify: iters left: 1 (28 enodes) 1544092509.040 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544092509.040 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092509.040 * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # 1544092509.040 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544092509.040 * * [misc]simplify: iters left: 5 (6 enodes) 1544092509.041 * * [misc]simplify: iters left: 4 (9 enodes) 1544092509.043 * * [misc]simplify: iters left: 3 (17 enodes) 1544092509.046 * * [misc]simplify: iters left: 2 (24 enodes) 1544092509.048 * * [misc]simplify: iters left: 1 (28 enodes) 1544092509.054 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544092509.054 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092509.054 * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # 1544092509.055 * [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))))))))))))))) 1544092509.055 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092509.055 * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # 1544092509.055 * [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)))))))) 1544092509.055 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092509.055 * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # 1544092509.055 * [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)))))))) 1544092509.055 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092509.055 * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # 1544092509.055 * [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)))))))))))) 1544092509.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544092509.055 * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # 1544092509.055 * [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))))))))))) 1544092509.055 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544092509.055 * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # 1544092509.056 * [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))))))))) 1544092509.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) +nan.0)) 1544092509.056 * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # 1544092509.056 * [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))))) 1544092509.056 * * [misc]simplify: iters left: 6 (35 enodes) 1544092509.063 * * [misc]simplify: iters left: 5 (102 enodes) 1544092509.100 * * [misc]simplify: iters left: 4 (321 enodes) 1544092509.284 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1544092509.284 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1544092509.284 * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # 1544092509.284 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544092509.284 * * [misc]simplify: iters left: 6 (13 enodes) 1544092509.287 * * [misc]simplify: iters left: 5 (27 enodes) 1544092509.291 * * [misc]simplify: iters left: 4 (53 enodes) 1544092509.301 * * [misc]simplify: iters left: 3 (124 enodes) 1544092509.372 * * [misc]simplify: iters left: 2 (394 enodes) 1544092509.926 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1544092509.927 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1544092509.927 * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # 1544092509.927 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544092509.927 * * [misc]simplify: iters left: 6 (13 enodes) 1544092509.932 * * [misc]simplify: iters left: 5 (24 enodes) 1544092509.941 * * [misc]simplify: iters left: 4 (54 enodes) 1544092509.962 * * [misc]simplify: iters left: 3 (151 enodes) 1544092510.051 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1544092510.051 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1544092510.051 * * * [misc]progress: adding candidates to table 1544092513.072 * * [misc]progress: iteration 3 / 4 1544092513.072 * * * [misc]progress: picking best candidate 1544092513.101 * * * * [misc]pick: Picked # 1544092513.101 * * * [misc]progress: localizing error 1544092513.132 * * * [misc]progress: generating rewritten candidates 1544092513.132 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2) 1544092513.165 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1544092513.171 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1544092513.179 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1) 1544092513.186 * * * [misc]progress: generating series expansions 1544092513.186 * * * * [misc]progress: [ 1 / 4 ] generating series at (2) 1544092513.187 * [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))) 1544092513.187 * [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 1544092513.187 * [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 1544092513.187 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.187 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.187 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.187 * [misc]taylor: Taking taylor expansion of k in n 1544092513.187 * [misc]backup-simplify: Simplify k into k 1544092513.187 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.187 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.187 * [misc]backup-simplify: Simplify 2 into 2 1544092513.187 * [misc]taylor: Taking taylor expansion of n in n 1544092513.187 * [misc]backup-simplify: Simplify 0 into 0 1544092513.187 * [misc]backup-simplify: Simplify 1 into 1 1544092513.187 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.187 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.187 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.187 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092513.187 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092513.187 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092513.188 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.188 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092513.188 * [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)))) 1544092513.188 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.188 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.188 * [misc]taylor: Taking taylor expansion of k in n 1544092513.188 * [misc]backup-simplify: Simplify k into k 1544092513.188 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.188 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.188 * [misc]backup-simplify: Simplify PI into PI 1544092513.189 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.189 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092513.189 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092513.189 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092513.189 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544092513.189 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544092513.189 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092513.189 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.189 * [misc]taylor: Taking taylor expansion of k in n 1544092513.189 * [misc]backup-simplify: Simplify k into k 1544092513.189 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.189 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092513.189 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.189 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092513.189 * [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 1544092513.189 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092513.189 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092513.189 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092513.189 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092513.189 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.189 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.190 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.190 * [misc]taylor: Taking taylor expansion of k in k 1544092513.190 * [misc]backup-simplify: Simplify 0 into 0 1544092513.190 * [misc]backup-simplify: Simplify 1 into 1 1544092513.190 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.190 * [misc]backup-simplify: Simplify 2 into 2 1544092513.190 * [misc]taylor: Taking taylor expansion of n in k 1544092513.190 * [misc]backup-simplify: Simplify n into n 1544092513.190 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092513.190 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092513.190 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.190 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.190 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.190 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092513.190 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092513.190 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.190 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.190 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.190 * [misc]taylor: Taking taylor expansion of k in k 1544092513.190 * [misc]backup-simplify: Simplify 0 into 0 1544092513.190 * [misc]backup-simplify: Simplify 1 into 1 1544092513.190 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.190 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.190 * [misc]backup-simplify: Simplify PI into PI 1544092513.191 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.191 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.191 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.191 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.191 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.192 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092513.192 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of k in k 1544092513.192 * [misc]backup-simplify: Simplify 0 into 0 1544092513.192 * [misc]backup-simplify: Simplify 1 into 1 1544092513.192 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.192 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.192 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.192 * [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 1544092513.192 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.192 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.192 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.192 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.192 * [misc]taylor: Taking taylor expansion of k in k 1544092513.192 * [misc]backup-simplify: Simplify 0 into 0 1544092513.192 * [misc]backup-simplify: Simplify 1 into 1 1544092513.193 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.193 * [misc]backup-simplify: Simplify 2 into 2 1544092513.193 * [misc]taylor: Taking taylor expansion of n in k 1544092513.193 * [misc]backup-simplify: Simplify n into n 1544092513.193 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092513.193 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092513.193 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.193 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.193 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.193 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092513.193 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092513.193 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.193 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.193 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.193 * [misc]taylor: Taking taylor expansion of k in k 1544092513.193 * [misc]backup-simplify: Simplify 0 into 0 1544092513.193 * [misc]backup-simplify: Simplify 1 into 1 1544092513.193 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.193 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.193 * [misc]backup-simplify: Simplify PI into PI 1544092513.194 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.194 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.194 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.194 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.194 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.195 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092513.195 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092513.195 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.195 * [misc]taylor: Taking taylor expansion of k in k 1544092513.195 * [misc]backup-simplify: Simplify 0 into 0 1544092513.195 * [misc]backup-simplify: Simplify 1 into 1 1544092513.195 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.195 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.195 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.195 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1544092513.196 * [misc]backup-simplify: Simplify (* (sqrt (* PI (* n 2))) 0) into 0 1544092513.196 * [misc]taylor: Taking taylor expansion of 0 in n 1544092513.196 * [misc]backup-simplify: Simplify 0 into 0 1544092513.196 * [misc]backup-simplify: Simplify 0 into 0 1544092513.197 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092513.197 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092513.197 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.197 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.198 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544092513.200 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092513.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092513.201 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092513.201 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092513.201 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.201 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.201 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092513.201 * [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)))) 1544092513.202 * [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)))))) 1544092513.203 * [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))))) 1544092513.203 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1544092513.203 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092513.203 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.203 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.203 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092513.203 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.203 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.203 * [misc]backup-simplify: Simplify 2 into 2 1544092513.203 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.203 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.204 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092513.204 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092513.204 * [misc]taylor: Taking taylor expansion of n in n 1544092513.204 * [misc]backup-simplify: Simplify 0 into 0 1544092513.204 * [misc]backup-simplify: Simplify 1 into 1 1544092513.204 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.204 * [misc]backup-simplify: Simplify PI into PI 1544092513.204 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092513.204 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092513.204 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.205 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.205 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092513.205 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.205 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.205 * [misc]backup-simplify: Simplify 0 into 0 1544092513.205 * [misc]backup-simplify: Simplify 0 into 0 1544092513.205 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092513.206 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.208 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092513.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.209 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.209 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.210 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544092513.212 * [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))) 1544092513.212 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092513.213 * [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 1544092513.214 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.214 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.214 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.214 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092513.215 * [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))) 1544092513.217 * [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))))))) 1544092513.219 * [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))))))))) 1544092513.219 * [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 1544092513.219 * [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 1544092513.219 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544092513.219 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.219 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.219 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544092513.219 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544092513.219 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.219 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.219 * [misc]backup-simplify: Simplify 2 into 2 1544092513.219 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.220 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.220 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.220 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.220 * [misc]backup-simplify: Simplify PI into PI 1544092513.220 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.220 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.220 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.220 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.220 * [misc]backup-simplify: Simplify PI into PI 1544092513.220 * [misc]taylor: Taking taylor expansion of n in n 1544092513.220 * [misc]backup-simplify: Simplify 0 into 0 1544092513.220 * [misc]backup-simplify: Simplify 1 into 1 1544092513.220 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.221 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.221 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.222 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.222 * [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 1544092513.222 * [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 1544092513.222 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092513.222 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.222 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.222 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092513.222 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.222 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.222 * [misc]backup-simplify: Simplify 2 into 2 1544092513.222 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.223 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.223 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092513.223 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092513.223 * [misc]taylor: Taking taylor expansion of n in n 1544092513.223 * [misc]backup-simplify: Simplify 0 into 0 1544092513.223 * [misc]backup-simplify: Simplify 1 into 1 1544092513.223 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.223 * [misc]backup-simplify: Simplify PI into PI 1544092513.223 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092513.224 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092513.224 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.224 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.224 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544092513.224 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544092513.224 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.224 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.224 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544092513.224 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544092513.225 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.225 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.225 * [misc]backup-simplify: Simplify 2 into 2 1544092513.225 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.225 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.225 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.225 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.225 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.225 * [misc]backup-simplify: Simplify 2 into 2 1544092513.225 * [misc]taylor: Taking taylor expansion of n in n 1544092513.225 * [misc]backup-simplify: Simplify 0 into 0 1544092513.225 * [misc]backup-simplify: Simplify 1 into 1 1544092513.225 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.225 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.226 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.226 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.226 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.226 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.226 * [misc]backup-simplify: Simplify PI into PI 1544092513.226 * [misc]taylor: Taking taylor expansion of n in n 1544092513.226 * [misc]backup-simplify: Simplify 0 into 0 1544092513.226 * [misc]backup-simplify: Simplify 1 into 1 1544092513.226 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.226 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.227 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.227 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.228 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544092513.228 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544092513.229 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.229 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092513.229 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.229 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.230 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544092513.230 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544092513.230 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.230 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.230 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.230 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.231 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.231 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.231 * [misc]backup-simplify: Simplify 0 into 0 1544092513.232 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.233 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.235 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.235 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.236 * [misc]backup-simplify: Simplify 0 into 0 1544092513.236 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.237 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092513.244 * [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 1544092513.244 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092513.244 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.244 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.246 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544092513.253 * [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))) 1544092513.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544092513.256 * [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 1544092513.257 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092513.257 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.257 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544092513.259 * [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))) 1544092513.265 * [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))))))))) 1544092513.275 * [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))))))))))))))) 1544092513.275 * [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 1544092513.275 * [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 1544092513.275 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) in n 1544092513.275 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.275 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.275 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log PI)) (sqrt (* PI n))) in n 1544092513.275 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log PI)) in n 1544092513.275 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.275 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.276 * [misc]backup-simplify: Simplify 2 into 2 1544092513.276 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.276 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.276 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.276 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.276 * [misc]backup-simplify: Simplify PI into PI 1544092513.277 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.277 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.277 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.277 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.277 * [misc]backup-simplify: Simplify PI into PI 1544092513.277 * [misc]taylor: Taking taylor expansion of n in n 1544092513.277 * [misc]backup-simplify: Simplify 0 into 0 1544092513.277 * [misc]backup-simplify: Simplify 1 into 1 1544092513.277 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.278 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.278 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.278 * [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 1544092513.278 * [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 1544092513.279 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n)))) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.279 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.279 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log PI) 2)) (sqrt (* PI n))) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log PI) 2)) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.279 * [misc]backup-simplify: Simplify 2 into 2 1544092513.279 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.279 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.279 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.279 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.279 * [misc]backup-simplify: Simplify PI into PI 1544092513.280 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.280 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.280 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.280 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.280 * [misc]backup-simplify: Simplify PI into PI 1544092513.280 * [misc]taylor: Taking taylor expansion of n in n 1544092513.280 * [misc]backup-simplify: Simplify 0 into 0 1544092513.280 * [misc]backup-simplify: Simplify 1 into 1 1544092513.280 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.281 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.281 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.282 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.282 * [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 1544092513.282 * [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 1544092513.282 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n)))) in n 1544092513.282 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.282 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.282 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 n)) 2)) (sqrt (* PI n))) in n 1544092513.282 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 n)) 2)) in n 1544092513.282 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.282 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.282 * [misc]backup-simplify: Simplify 2 into 2 1544092513.282 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.283 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.283 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092513.283 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.283 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.283 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.283 * [misc]backup-simplify: Simplify 2 into 2 1544092513.283 * [misc]taylor: Taking taylor expansion of n in n 1544092513.283 * [misc]backup-simplify: Simplify 0 into 0 1544092513.283 * [misc]backup-simplify: Simplify 1 into 1 1544092513.283 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.283 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.283 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.284 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.284 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.284 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.284 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.284 * [misc]backup-simplify: Simplify PI into PI 1544092513.284 * [misc]taylor: Taking taylor expansion of n in n 1544092513.284 * [misc]backup-simplify: Simplify 0 into 0 1544092513.284 * [misc]backup-simplify: Simplify 1 into 1 1544092513.284 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.285 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.285 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.286 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.286 * [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 1544092513.286 * [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 1544092513.286 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI)))) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.286 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.286 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (log PI))) (sqrt (* n PI))) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (log PI))) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.286 * [misc]backup-simplify: Simplify 2 into 2 1544092513.286 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.286 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.286 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (log PI)) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.286 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.286 * [misc]backup-simplify: Simplify 2 into 2 1544092513.287 * [misc]taylor: Taking taylor expansion of n in n 1544092513.287 * [misc]backup-simplify: Simplify 0 into 0 1544092513.287 * [misc]backup-simplify: Simplify 1 into 1 1544092513.287 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.287 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.287 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.287 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.287 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.287 * [misc]backup-simplify: Simplify PI into PI 1544092513.287 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.288 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092513.288 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092513.288 * [misc]taylor: Taking taylor expansion of n in n 1544092513.288 * [misc]backup-simplify: Simplify 0 into 0 1544092513.288 * [misc]backup-simplify: Simplify 1 into 1 1544092513.288 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.288 * [misc]backup-simplify: Simplify PI into PI 1544092513.288 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092513.289 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092513.289 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.289 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.289 * [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 1544092513.289 * [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 1544092513.289 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1544092513.289 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.289 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.289 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1544092513.289 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.289 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.289 * [misc]backup-simplify: Simplify 2 into 2 1544092513.290 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.290 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.290 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1544092513.290 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1544092513.290 * [misc]taylor: Taking taylor expansion of n in n 1544092513.290 * [misc]backup-simplify: Simplify 0 into 0 1544092513.290 * [misc]backup-simplify: Simplify 1 into 1 1544092513.290 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.290 * [misc]backup-simplify: Simplify PI into PI 1544092513.290 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1544092513.291 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1544092513.291 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.292 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.292 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))))) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.292 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.292 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n))) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 n))) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.292 * [misc]backup-simplify: Simplify 2 into 2 1544092513.292 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.292 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.292 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.292 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.292 * [misc]backup-simplify: Simplify 2 into 2 1544092513.292 * [misc]taylor: Taking taylor expansion of n in n 1544092513.292 * [misc]backup-simplify: Simplify 0 into 0 1544092513.292 * [misc]backup-simplify: Simplify 1 into 1 1544092513.293 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.293 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.293 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.293 * [misc]taylor: Taking taylor expansion of (sqrt (* PI n)) in n 1544092513.293 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1544092513.293 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.293 * [misc]backup-simplify: Simplify PI into PI 1544092513.293 * [misc]taylor: Taking taylor expansion of n in n 1544092513.293 * [misc]backup-simplify: Simplify 0 into 0 1544092513.293 * [misc]backup-simplify: Simplify 1 into 1 1544092513.293 * [misc]backup-simplify: Simplify (* PI 0) into 0 1544092513.294 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1544092513.294 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.295 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1544092513.295 * [misc]backup-simplify: Simplify (* (sqrt 2) (log PI)) into (* (sqrt 2) (log PI)) 1544092513.296 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (log PI)) 0) into 0 1544092513.296 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.297 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544092513.298 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (log PI) 2)) into (* (sqrt 2) (pow (log PI) 2)) 1544092513.299 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (log PI) 2)) 0) into 0 1544092513.299 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.300 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.300 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.300 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092513.301 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log 2) (log n)) 2)) into (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544092513.301 * [misc]backup-simplify: Simplify (* (* (pow (+ (log 2) (log n)) 2) (sqrt 2)) 0) into 0 1544092513.301 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.302 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.302 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (log PI)) into (* (+ (log 2) (log n)) (log PI)) 1544092513.303 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (+ (log 2) (log n)) (log PI))) into (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 1544092513.304 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (log PI))) 0) into 0 1544092513.305 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.306 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092513.306 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.306 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.307 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (sqrt 2)) 1544092513.307 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1544092513.307 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092513.307 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.307 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.308 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.309 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.309 * [misc]backup-simplify: Simplify 0 into 0 1544092513.311 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092513.312 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (log PI))) into 0 1544092513.314 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (log PI)) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544092513.317 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) (* (log PI) PI))))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (* (log PI) PI)))) 1544092513.318 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.319 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1544092513.320 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.322 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.323 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.323 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log 2) (log n)))) into 0 1544092513.324 * [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)))))) 1544092513.326 * [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)))))) 1544092513.329 * [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)))))) 1544092513.332 * [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))))))) 1544092513.335 * [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))))))) 1544092513.341 * [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))))))))) 1544092513.347 * [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))))))))) 1544092513.353 * [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))))))))) 1544092513.355 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1544092513.356 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1544092513.358 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092513.360 * [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)))) 1544092513.364 * [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)))) 1544092513.365 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544092513.365 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1544092513.371 * [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))))))))))))))) 1544092513.371 * [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)) 1544092513.371 * [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 1544092513.371 * [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 1544092513.371 * [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 1544092513.372 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.372 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.372 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.372 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of k in n 1544092513.372 * [misc]backup-simplify: Simplify k into k 1544092513.372 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.372 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.372 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.372 * [misc]backup-simplify: Simplify PI into PI 1544092513.372 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.372 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.372 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.372 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.372 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092513.373 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.373 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.373 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.373 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.373 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of k in n 1544092513.373 * [misc]backup-simplify: Simplify k into k 1544092513.373 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.373 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.373 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.373 * [misc]backup-simplify: Simplify 2 into 2 1544092513.373 * [misc]taylor: Taking taylor expansion of n in n 1544092513.373 * [misc]backup-simplify: Simplify 0 into 0 1544092513.373 * [misc]backup-simplify: Simplify 1 into 1 1544092513.373 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.373 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.373 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.373 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.374 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.374 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.374 * [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))) 1544092513.374 * [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)))) 1544092513.374 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092513.374 * [misc]taylor: Taking taylor expansion of k in n 1544092513.374 * [misc]backup-simplify: Simplify k into k 1544092513.374 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092513.374 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092513.374 * [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 1544092513.374 * [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 1544092513.374 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.374 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092513.374 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092513.374 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.374 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.374 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.374 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.375 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.375 * [misc]taylor: Taking taylor expansion of k in k 1544092513.375 * [misc]backup-simplify: Simplify 0 into 0 1544092513.375 * [misc]backup-simplify: Simplify 1 into 1 1544092513.375 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.375 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.375 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.375 * [misc]backup-simplify: Simplify PI into PI 1544092513.375 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.375 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.375 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.375 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.376 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092513.376 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.376 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.376 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.376 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.376 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of k in k 1544092513.376 * [misc]backup-simplify: Simplify 0 into 0 1544092513.376 * [misc]backup-simplify: Simplify 1 into 1 1544092513.376 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.376 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092513.376 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.376 * [misc]backup-simplify: Simplify 2 into 2 1544092513.376 * [misc]taylor: Taking taylor expansion of n in k 1544092513.376 * [misc]backup-simplify: Simplify n into n 1544092513.376 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092513.376 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092513.376 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.377 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.377 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.377 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092513.377 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.377 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of k in k 1544092513.377 * [misc]backup-simplify: Simplify 0 into 0 1544092513.377 * [misc]backup-simplify: Simplify 1 into 1 1544092513.377 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.377 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.377 * [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 1544092513.377 * [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 1544092513.377 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.377 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.377 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.377 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.377 * [misc]taylor: Taking taylor expansion of k in k 1544092513.377 * [misc]backup-simplify: Simplify 0 into 0 1544092513.377 * [misc]backup-simplify: Simplify 1 into 1 1544092513.378 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.378 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.378 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.378 * [misc]backup-simplify: Simplify PI into PI 1544092513.378 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.378 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.378 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.378 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.378 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092513.379 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.379 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.379 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.379 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.379 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of k in k 1544092513.379 * [misc]backup-simplify: Simplify 0 into 0 1544092513.379 * [misc]backup-simplify: Simplify 1 into 1 1544092513.379 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.379 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092513.379 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.379 * [misc]backup-simplify: Simplify 2 into 2 1544092513.379 * [misc]taylor: Taking taylor expansion of n in k 1544092513.379 * [misc]backup-simplify: Simplify n into n 1544092513.379 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092513.379 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092513.379 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.379 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.379 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.380 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092513.380 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.380 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092513.380 * [misc]taylor: Taking taylor expansion of k in k 1544092513.380 * [misc]backup-simplify: Simplify 0 into 0 1544092513.380 * [misc]backup-simplify: Simplify 1 into 1 1544092513.380 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.380 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.380 * [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))))) 1544092513.380 * [misc]backup-simplify: Simplify (* (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544092513.380 * [misc]taylor: Taking taylor expansion of 0 in n 1544092513.381 * [misc]backup-simplify: Simplify 0 into 0 1544092513.381 * [misc]backup-simplify: Simplify 0 into 0 1544092513.381 * [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 1544092513.381 * [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))))))) 1544092513.381 * [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 1544092513.381 * [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 1544092513.381 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.381 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.381 * [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 1544092513.381 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.381 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.381 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.381 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of k in n 1544092513.381 * [misc]backup-simplify: Simplify k into k 1544092513.381 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.381 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.381 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.381 * [misc]backup-simplify: Simplify PI into PI 1544092513.382 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.382 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.382 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.382 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.382 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092513.382 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.382 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.382 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.382 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.382 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of k in n 1544092513.382 * [misc]backup-simplify: Simplify k into k 1544092513.382 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.382 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.382 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.382 * [misc]backup-simplify: Simplify 2 into 2 1544092513.383 * [misc]taylor: Taking taylor expansion of n in n 1544092513.383 * [misc]backup-simplify: Simplify 0 into 0 1544092513.383 * [misc]backup-simplify: Simplify 1 into 1 1544092513.383 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.383 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.383 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.383 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.383 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.383 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.383 * [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))) 1544092513.384 * [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)))) 1544092513.384 * [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))))) 1544092513.384 * [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)))))) 1544092513.384 * [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))))))) 1544092513.385 * [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))))))) 1544092513.385 * [misc]backup-simplify: Simplify 0 into 0 1544092513.386 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.386 * [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 1544092513.386 * [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))))))) 1544092513.386 * [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 1544092513.386 * [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 1544092513.386 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.386 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.386 * [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 1544092513.386 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.386 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.386 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.386 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of k in n 1544092513.386 * [misc]backup-simplify: Simplify k into k 1544092513.386 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.386 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.386 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.386 * [misc]backup-simplify: Simplify PI into PI 1544092513.387 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.387 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.387 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.387 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.387 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092513.387 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.387 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.387 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.387 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.387 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.387 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.387 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.387 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.388 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.388 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.388 * [misc]taylor: Taking taylor expansion of k in n 1544092513.388 * [misc]backup-simplify: Simplify k into k 1544092513.388 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.388 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.388 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.388 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.388 * [misc]backup-simplify: Simplify 2 into 2 1544092513.388 * [misc]taylor: Taking taylor expansion of n in n 1544092513.388 * [misc]backup-simplify: Simplify 0 into 0 1544092513.388 * [misc]backup-simplify: Simplify 1 into 1 1544092513.388 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.388 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.388 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.388 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.388 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.388 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.389 * [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))) 1544092513.389 * [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)))) 1544092513.389 * [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))))) 1544092513.389 * [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)))))) 1544092513.390 * [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))))))) 1544092513.390 * [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))))))) 1544092513.390 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092513.392 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.392 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.392 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.392 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.392 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.392 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.392 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092513.393 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.395 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092513.395 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.395 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.395 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.395 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.396 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544092513.396 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.397 * [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 1544092513.397 * [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 1544092513.397 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.397 * [misc]backup-simplify: Simplify 0 into 0 1544092513.397 * [misc]backup-simplify: Simplify 0 into 0 1544092513.398 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092513.398 * [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 1544092513.399 * [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))))))) 1544092513.399 * [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 1544092513.399 * [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 1544092513.399 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.399 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.399 * [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 1544092513.399 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.399 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.399 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.399 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of k in n 1544092513.399 * [misc]backup-simplify: Simplify k into k 1544092513.399 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.399 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.399 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.399 * [misc]backup-simplify: Simplify PI into PI 1544092513.399 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.399 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.399 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.399 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.400 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092513.400 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.400 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.400 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.400 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.400 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of k in n 1544092513.400 * [misc]backup-simplify: Simplify k into k 1544092513.400 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.400 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.400 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.400 * [misc]backup-simplify: Simplify 2 into 2 1544092513.400 * [misc]taylor: Taking taylor expansion of n in n 1544092513.400 * [misc]backup-simplify: Simplify 0 into 0 1544092513.400 * [misc]backup-simplify: Simplify 1 into 1 1544092513.400 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.400 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.401 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.401 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.401 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.401 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.401 * [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))) 1544092513.401 * [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)))) 1544092513.402 * [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))))) 1544092513.402 * [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)))))) 1544092513.402 * [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))))))) 1544092513.402 * [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))))))) 1544092513.404 * [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)))))))) 1544092513.404 * [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))) 1544092513.404 * [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 1544092513.404 * [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 1544092513.404 * [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 1544092513.404 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.404 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.404 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.404 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.405 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.405 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.405 * [misc]taylor: Taking taylor expansion of k in n 1544092513.405 * [misc]backup-simplify: Simplify k into k 1544092513.405 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.405 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.405 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.405 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.405 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.405 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.405 * [misc]backup-simplify: Simplify -2 into -2 1544092513.405 * [misc]taylor: Taking taylor expansion of n in n 1544092513.405 * [misc]backup-simplify: Simplify 0 into 0 1544092513.405 * [misc]backup-simplify: Simplify 1 into 1 1544092513.405 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.405 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.405 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.405 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.405 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.406 * [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))) 1544092513.406 * [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)))) 1544092513.406 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.406 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of k in n 1544092513.406 * [misc]backup-simplify: Simplify k into k 1544092513.406 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.406 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.406 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.406 * [misc]backup-simplify: Simplify PI into PI 1544092513.406 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.406 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.406 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.406 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092513.407 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.407 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092513.407 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092513.407 * [misc]taylor: Taking taylor expansion of -1 in n 1544092513.407 * [misc]backup-simplify: Simplify -1 into -1 1544092513.407 * [misc]taylor: Taking taylor expansion of k in n 1544092513.407 * [misc]backup-simplify: Simplify k into k 1544092513.407 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092513.407 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092513.407 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092513.407 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092513.407 * [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))) 1544092513.408 * [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))) 1544092513.408 * [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 1544092513.408 * [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 1544092513.408 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.408 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of k in k 1544092513.408 * [misc]backup-simplify: Simplify 0 into 0 1544092513.408 * [misc]backup-simplify: Simplify 1 into 1 1544092513.408 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.408 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.408 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.408 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092513.408 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.408 * [misc]backup-simplify: Simplify -2 into -2 1544092513.408 * [misc]taylor: Taking taylor expansion of n in k 1544092513.408 * [misc]backup-simplify: Simplify n into n 1544092513.408 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092513.408 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092513.408 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.408 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.408 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092513.409 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.409 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.409 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of k in k 1544092513.409 * [misc]backup-simplify: Simplify 0 into 0 1544092513.409 * [misc]backup-simplify: Simplify 1 into 1 1544092513.409 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.409 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.409 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.409 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.409 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.409 * [misc]backup-simplify: Simplify PI into PI 1544092513.409 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.409 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.409 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.410 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.410 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.410 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092513.410 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092513.410 * [misc]taylor: Taking taylor expansion of -1 in k 1544092513.410 * [misc]backup-simplify: Simplify -1 into -1 1544092513.410 * [misc]taylor: Taking taylor expansion of k in k 1544092513.410 * [misc]backup-simplify: Simplify 0 into 0 1544092513.410 * [misc]backup-simplify: Simplify 1 into 1 1544092513.410 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092513.410 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.410 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092513.411 * [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))) 1544092513.411 * [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)))) 1544092513.411 * [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 1544092513.411 * [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 1544092513.411 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.411 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of k in k 1544092513.411 * [misc]backup-simplify: Simplify 0 into 0 1544092513.411 * [misc]backup-simplify: Simplify 1 into 1 1544092513.411 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.411 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.411 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092513.411 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.411 * [misc]backup-simplify: Simplify -2 into -2 1544092513.411 * [misc]taylor: Taking taylor expansion of n in k 1544092513.411 * [misc]backup-simplify: Simplify n into n 1544092513.411 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092513.411 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092513.411 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.412 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.412 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092513.412 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.412 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of k in k 1544092513.412 * [misc]backup-simplify: Simplify 0 into 0 1544092513.412 * [misc]backup-simplify: Simplify 1 into 1 1544092513.412 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.412 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.412 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.412 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.412 * [misc]backup-simplify: Simplify PI into PI 1544092513.412 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.412 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.412 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.413 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.413 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.413 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092513.413 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092513.413 * [misc]taylor: Taking taylor expansion of -1 in k 1544092513.413 * [misc]backup-simplify: Simplify -1 into -1 1544092513.413 * [misc]taylor: Taking taylor expansion of k in k 1544092513.413 * [misc]backup-simplify: Simplify 0 into 0 1544092513.413 * [misc]backup-simplify: Simplify 1 into 1 1544092513.413 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092513.413 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.414 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092513.414 * [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))) 1544092513.414 * [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)))) 1544092513.414 * [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 1544092513.414 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.414 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.414 * [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 1544092513.414 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.414 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of k in n 1544092513.414 * [misc]backup-simplify: Simplify k into k 1544092513.414 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.414 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.414 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.414 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.414 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.414 * [misc]backup-simplify: Simplify -2 into -2 1544092513.414 * [misc]taylor: Taking taylor expansion of n in n 1544092513.414 * [misc]backup-simplify: Simplify 0 into 0 1544092513.414 * [misc]backup-simplify: Simplify 1 into 1 1544092513.414 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.415 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.415 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.415 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.415 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.415 * [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))) 1544092513.415 * [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)))) 1544092513.415 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.415 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.415 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.415 * [misc]taylor: Taking taylor expansion of k in n 1544092513.415 * [misc]backup-simplify: Simplify k into k 1544092513.416 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.416 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.416 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.416 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.416 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.416 * [misc]backup-simplify: Simplify PI into PI 1544092513.416 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.416 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.416 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.416 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092513.416 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.417 * [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))) 1544092513.417 * [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)))) 1544092513.417 * [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)))) 1544092513.417 * [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 1544092513.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092513.418 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.419 * [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))))) 1544092513.419 * [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 1544092513.419 * [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 1544092513.419 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.419 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.419 * [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 1544092513.419 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.419 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of k in n 1544092513.419 * [misc]backup-simplify: Simplify k into k 1544092513.419 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.419 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.419 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.419 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.419 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.419 * [misc]backup-simplify: Simplify -2 into -2 1544092513.419 * [misc]taylor: Taking taylor expansion of n in n 1544092513.419 * [misc]backup-simplify: Simplify 0 into 0 1544092513.419 * [misc]backup-simplify: Simplify 1 into 1 1544092513.419 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.419 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.419 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.419 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.420 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.420 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) 1544092513.420 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) 1544092513.420 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.420 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of k in n 1544092513.420 * [misc]backup-simplify: Simplify k into k 1544092513.420 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.420 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.420 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.420 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.420 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.420 * [misc]backup-simplify: Simplify PI into PI 1544092513.421 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.421 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.421 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.421 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092513.421 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.422 * [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))) 1544092513.422 * [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)))) 1544092513.422 * [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))))) 1544092513.423 * [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))))) 1544092513.424 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092513.425 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.425 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.425 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.425 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544092513.427 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.427 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092513.429 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092513.429 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.429 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.429 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.429 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.429 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092513.430 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.430 * [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 1544092513.431 * [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 1544092513.431 * [misc]backup-simplify: Simplify 0 into 0 1544092513.431 * [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 1544092513.431 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.433 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092513.434 * [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))))) 1544092513.434 * [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 1544092513.434 * [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 1544092513.434 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.434 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.434 * [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 1544092513.434 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.434 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.434 * [misc]taylor: Taking taylor expansion of k in n 1544092513.434 * [misc]backup-simplify: Simplify k into k 1544092513.435 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.435 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.435 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.435 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.435 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.435 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.435 * [misc]backup-simplify: Simplify -2 into -2 1544092513.435 * [misc]taylor: Taking taylor expansion of n in n 1544092513.435 * [misc]backup-simplify: Simplify 0 into 0 1544092513.435 * [misc]backup-simplify: Simplify 1 into 1 1544092513.435 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.435 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.435 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.435 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.436 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.436 * [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))) 1544092513.436 * [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)))) 1544092513.436 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.436 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092513.436 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092513.436 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.436 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.436 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.437 * [misc]taylor: Taking taylor expansion of k in n 1544092513.437 * [misc]backup-simplify: Simplify k into k 1544092513.437 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.437 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.437 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.437 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092513.437 * [misc]taylor: Taking taylor expansion of PI in n 1544092513.437 * [misc]backup-simplify: Simplify PI into PI 1544092513.437 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.437 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.437 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.438 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092513.438 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.438 * [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))) 1544092513.439 * [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)))) 1544092513.439 * [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))))) 1544092513.440 * [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))))) 1544092513.442 * [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)))))))) 1544092513.442 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1544092513.442 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) 1544092513.442 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1544092513.443 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.443 * [misc]taylor: Taking taylor expansion of k in n 1544092513.443 * [misc]backup-simplify: Simplify k into k 1544092513.443 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.443 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.443 * [misc]backup-simplify: Simplify 2 into 2 1544092513.443 * [misc]taylor: Taking taylor expansion of n in n 1544092513.443 * [misc]backup-simplify: Simplify 0 into 0 1544092513.443 * [misc]backup-simplify: Simplify 1 into 1 1544092513.443 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.443 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.443 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.444 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092513.444 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092513.444 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092513.444 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.444 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092513.444 * [misc]backup-simplify: Simplify (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) into (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) 1544092513.444 * [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))))) 1544092513.444 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1544092513.444 * [misc]taylor: Taking taylor expansion of k in n 1544092513.444 * [misc]backup-simplify: Simplify k into k 1544092513.444 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1544092513.445 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1544092513.445 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.445 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.445 * [misc]taylor: Taking taylor expansion of k in k 1544092513.445 * [misc]backup-simplify: Simplify 0 into 0 1544092513.445 * [misc]backup-simplify: Simplify 1 into 1 1544092513.445 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.445 * [misc]backup-simplify: Simplify 2 into 2 1544092513.445 * [misc]taylor: Taking taylor expansion of n in k 1544092513.445 * [misc]backup-simplify: Simplify n into n 1544092513.445 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092513.445 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092513.445 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.445 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.445 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092513.445 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092513.445 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544092513.445 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092513.445 * [misc]taylor: Taking taylor expansion of k in k 1544092513.445 * [misc]backup-simplify: Simplify 0 into 0 1544092513.445 * [misc]backup-simplify: Simplify 1 into 1 1544092513.446 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.446 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.446 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.446 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.446 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.446 * [misc]taylor: Taking taylor expansion of k in k 1544092513.446 * [misc]backup-simplify: Simplify 0 into 0 1544092513.446 * [misc]backup-simplify: Simplify 1 into 1 1544092513.446 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092513.446 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.446 * [misc]backup-simplify: Simplify 2 into 2 1544092513.446 * [misc]taylor: Taking taylor expansion of n in k 1544092513.446 * [misc]backup-simplify: Simplify n into n 1544092513.446 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092513.446 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092513.446 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.447 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.447 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.447 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092513.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092513.447 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1544092513.447 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1544092513.447 * [misc]taylor: Taking taylor expansion of k in k 1544092513.447 * [misc]backup-simplify: Simplify 0 into 0 1544092513.447 * [misc]backup-simplify: Simplify 1 into 1 1544092513.447 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.447 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.447 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1544092513.448 * [misc]taylor: Taking taylor expansion of 0 in n 1544092513.448 * [misc]backup-simplify: Simplify 0 into 0 1544092513.448 * [misc]backup-simplify: Simplify 0 into 0 1544092513.448 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092513.448 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092513.448 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092513.449 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.449 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.449 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092513.449 * [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)))) 1544092513.449 * [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)))) 1544092513.450 * [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)))) 1544092513.450 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544092513.450 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544092513.450 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.450 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.450 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544092513.450 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092513.450 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092513.450 * [misc]taylor: Taking taylor expansion of n in n 1544092513.450 * [misc]backup-simplify: Simplify 0 into 0 1544092513.450 * [misc]backup-simplify: Simplify 1 into 1 1544092513.450 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.450 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.451 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.451 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092513.451 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.451 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.451 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092513.451 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092513.451 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.451 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544092513.452 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544092513.452 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.453 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.453 * [misc]backup-simplify: Simplify 0 into 0 1544092513.453 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.454 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092513.455 * [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 1544092513.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.455 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.455 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.455 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092513.456 * [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))) 1544092513.457 * [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))))) 1544092513.459 * [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)))))) 1544092513.459 * [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 1544092513.459 * [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 1544092513.459 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1544092513.459 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.459 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.459 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1544092513.459 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1544092513.459 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092513.459 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.459 * [misc]backup-simplify: Simplify 2 into 2 1544092513.459 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092513.459 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092513.460 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.460 * [misc]backup-simplify: Simplify 2 into 2 1544092513.460 * [misc]taylor: Taking taylor expansion of n in n 1544092513.460 * [misc]backup-simplify: Simplify 0 into 0 1544092513.460 * [misc]backup-simplify: Simplify 1 into 1 1544092513.460 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.460 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.460 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.460 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.460 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.460 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092513.460 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092513.460 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092513.460 * [misc]taylor: Taking taylor expansion of n in n 1544092513.460 * [misc]backup-simplify: Simplify 0 into 0 1544092513.460 * [misc]backup-simplify: Simplify 1 into 1 1544092513.460 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.461 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.461 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1544092513.461 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1544092513.461 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.461 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.461 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1544092513.461 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092513.461 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092513.461 * [misc]taylor: Taking taylor expansion of n in n 1544092513.461 * [misc]backup-simplify: Simplify 0 into 0 1544092513.461 * [misc]backup-simplify: Simplify 1 into 1 1544092513.461 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.461 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.461 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.462 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1544092513.462 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.462 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.462 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1544092513.462 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1544092513.462 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.462 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1544092513.463 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1544092513.463 * [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))) 1544092513.463 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.464 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1544092513.464 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.465 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.466 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1544092513.466 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1544092513.467 * [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))))))) 1544092513.468 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1544092513.469 * [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))))))) 1544092513.470 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.470 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1544092513.470 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1544092513.471 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.473 * [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))))))))) 1544092513.475 * [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))))))) 1544092513.477 * [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))))))) 1544092513.478 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1544092513.478 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092513.479 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.479 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.480 * [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))) 1544092513.480 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.481 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1544092513.484 * [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)))))))))))) 1544092513.484 * [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))) 1544092513.484 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1544092513.484 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.484 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.484 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.484 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of k in n 1544092513.484 * [misc]backup-simplify: Simplify k into k 1544092513.484 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.484 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.484 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.485 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.485 * [misc]backup-simplify: Simplify 2 into 2 1544092513.485 * [misc]taylor: Taking taylor expansion of n in n 1544092513.485 * [misc]backup-simplify: Simplify 0 into 0 1544092513.485 * [misc]backup-simplify: Simplify 1 into 1 1544092513.485 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.485 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.485 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.485 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.485 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.485 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.485 * [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))) 1544092513.486 * [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)))) 1544092513.486 * [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))))) 1544092513.486 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1544092513.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.486 * [misc]taylor: Taking taylor expansion of k in n 1544092513.486 * [misc]backup-simplify: Simplify k into k 1544092513.486 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.486 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1544092513.486 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.486 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1544092513.486 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.486 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.486 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.486 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of k in k 1544092513.486 * [misc]backup-simplify: Simplify 0 into 0 1544092513.486 * [misc]backup-simplify: Simplify 1 into 1 1544092513.486 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.486 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092513.486 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.486 * [misc]backup-simplify: Simplify 2 into 2 1544092513.487 * [misc]taylor: Taking taylor expansion of n in k 1544092513.487 * [misc]backup-simplify: Simplify n into n 1544092513.487 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092513.487 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092513.487 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.487 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.487 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.487 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092513.487 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.487 * [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))))) 1544092513.487 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092513.487 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.487 * [misc]taylor: Taking taylor expansion of k in k 1544092513.487 * [misc]backup-simplify: Simplify 0 into 0 1544092513.487 * [misc]backup-simplify: Simplify 1 into 1 1544092513.487 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.487 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.488 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.488 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.488 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.488 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.488 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of k in k 1544092513.488 * [misc]backup-simplify: Simplify 0 into 0 1544092513.488 * [misc]backup-simplify: Simplify 1 into 1 1544092513.488 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.488 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092513.488 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.488 * [misc]backup-simplify: Simplify 2 into 2 1544092513.488 * [misc]taylor: Taking taylor expansion of n in k 1544092513.488 * [misc]backup-simplify: Simplify n into n 1544092513.488 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092513.488 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092513.488 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.489 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.489 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.489 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092513.489 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.489 * [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))))) 1544092513.489 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1544092513.489 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.489 * [misc]taylor: Taking taylor expansion of k in k 1544092513.489 * [misc]backup-simplify: Simplify 0 into 0 1544092513.489 * [misc]backup-simplify: Simplify 1 into 1 1544092513.489 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.489 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.490 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092513.490 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1544092513.490 * [misc]taylor: Taking taylor expansion of 0 in n 1544092513.490 * [misc]backup-simplify: Simplify 0 into 0 1544092513.490 * [misc]backup-simplify: Simplify 0 into 0 1544092513.490 * [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 1544092513.490 * [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))))))) 1544092513.490 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.490 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.490 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.490 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.490 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.490 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.490 * [misc]taylor: Taking taylor expansion of k in n 1544092513.490 * [misc]backup-simplify: Simplify k into k 1544092513.490 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.490 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.491 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.491 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.491 * [misc]backup-simplify: Simplify 2 into 2 1544092513.491 * [misc]taylor: Taking taylor expansion of n in n 1544092513.491 * [misc]backup-simplify: Simplify 0 into 0 1544092513.491 * [misc]backup-simplify: Simplify 1 into 1 1544092513.491 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.491 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.491 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.491 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.491 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.491 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.492 * [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))) 1544092513.492 * [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)))) 1544092513.492 * [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))))) 1544092513.493 * [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))))) 1544092513.493 * [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))))))) 1544092513.493 * [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))))))) 1544092513.493 * [misc]backup-simplify: Simplify 0 into 0 1544092513.494 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092513.495 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.495 * [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 1544092513.496 * [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))))))) 1544092513.496 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.496 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.496 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.496 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.496 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.496 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of k in n 1544092513.496 * [misc]backup-simplify: Simplify k into k 1544092513.496 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.496 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.496 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.496 * [misc]backup-simplify: Simplify 2 into 2 1544092513.496 * [misc]taylor: Taking taylor expansion of n in n 1544092513.496 * [misc]backup-simplify: Simplify 0 into 0 1544092513.496 * [misc]backup-simplify: Simplify 1 into 1 1544092513.496 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.497 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.497 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.497 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.497 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.497 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.498 * [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))) 1544092513.498 * [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)))) 1544092513.498 * [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))))) 1544092513.498 * [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))))) 1544092513.499 * [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))))))) 1544092513.499 * [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))))))) 1544092513.500 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092513.502 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.502 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.502 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.502 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.503 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.503 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.503 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092513.505 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.505 * [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 1544092513.506 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1544092513.506 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.506 * [misc]backup-simplify: Simplify 0 into 0 1544092513.506 * [misc]backup-simplify: Simplify 0 into 0 1544092513.506 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.508 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092513.508 * [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 1544092513.509 * [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))))))) 1544092513.509 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.509 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.509 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.509 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.509 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.509 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of k in n 1544092513.509 * [misc]backup-simplify: Simplify k into k 1544092513.509 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.509 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.509 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.509 * [misc]backup-simplify: Simplify 2 into 2 1544092513.509 * [misc]taylor: Taking taylor expansion of n in n 1544092513.509 * [misc]backup-simplify: Simplify 0 into 0 1544092513.509 * [misc]backup-simplify: Simplify 1 into 1 1544092513.510 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.510 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.510 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.510 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.510 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.510 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.511 * [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))) 1544092513.511 * [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)))) 1544092513.511 * [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))))) 1544092513.512 * [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))))) 1544092513.512 * [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))))))) 1544092513.513 * [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))))))) 1544092513.514 * [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))))))))))) 1544092513.515 * [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))) 1544092513.515 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1544092513.515 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of -1 in n 1544092513.515 * [misc]backup-simplify: Simplify -1 into -1 1544092513.515 * [misc]taylor: Taking taylor expansion of k in n 1544092513.515 * [misc]backup-simplify: Simplify k into k 1544092513.515 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092513.515 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092513.515 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092513.515 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092513.515 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.515 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.516 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.516 * [misc]taylor: Taking taylor expansion of k in n 1544092513.516 * [misc]backup-simplify: Simplify k into k 1544092513.516 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.516 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.516 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.516 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.516 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.516 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.516 * [misc]backup-simplify: Simplify -2 into -2 1544092513.516 * [misc]taylor: Taking taylor expansion of n in n 1544092513.516 * [misc]backup-simplify: Simplify 0 into 0 1544092513.516 * [misc]backup-simplify: Simplify 1 into 1 1544092513.516 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.516 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.516 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.517 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.517 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.517 * [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))) 1544092513.518 * [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)))) 1544092513.518 * [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))))) 1544092513.518 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092513.518 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092513.518 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092513.518 * [misc]taylor: Taking taylor expansion of -1 in k 1544092513.518 * [misc]backup-simplify: Simplify -1 into -1 1544092513.518 * [misc]taylor: Taking taylor expansion of k in k 1544092513.518 * [misc]backup-simplify: Simplify 0 into 0 1544092513.518 * [misc]backup-simplify: Simplify 1 into 1 1544092513.518 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092513.519 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.519 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092513.519 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.519 * [misc]taylor: Taking taylor expansion of k in k 1544092513.519 * [misc]backup-simplify: Simplify 0 into 0 1544092513.519 * [misc]backup-simplify: Simplify 1 into 1 1544092513.520 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.520 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.520 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.520 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092513.520 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092513.520 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.520 * [misc]backup-simplify: Simplify -2 into -2 1544092513.520 * [misc]taylor: Taking taylor expansion of n in k 1544092513.520 * [misc]backup-simplify: Simplify n into n 1544092513.520 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092513.520 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092513.520 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.520 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.520 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092513.521 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.521 * [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))) 1544092513.521 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092513.521 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092513.521 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092513.521 * [misc]taylor: Taking taylor expansion of -1 in k 1544092513.521 * [misc]backup-simplify: Simplify -1 into -1 1544092513.521 * [misc]taylor: Taking taylor expansion of k in k 1544092513.521 * [misc]backup-simplify: Simplify 0 into 0 1544092513.521 * [misc]backup-simplify: Simplify 1 into 1 1544092513.521 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092513.521 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092513.522 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092513.522 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.522 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of k in k 1544092513.522 * [misc]backup-simplify: Simplify 0 into 0 1544092513.522 * [misc]backup-simplify: Simplify 1 into 1 1544092513.522 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.522 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.522 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.522 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092513.522 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092513.523 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.523 * [misc]backup-simplify: Simplify -2 into -2 1544092513.523 * [misc]taylor: Taking taylor expansion of n in k 1544092513.523 * [misc]backup-simplify: Simplify n into n 1544092513.523 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092513.523 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092513.523 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.523 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.523 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092513.523 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.524 * [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))) 1544092513.524 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.524 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.524 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.524 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of k in n 1544092513.524 * [misc]backup-simplify: Simplify k into k 1544092513.524 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.524 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.524 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.524 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.524 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.524 * [misc]backup-simplify: Simplify -2 into -2 1544092513.524 * [misc]taylor: Taking taylor expansion of n in n 1544092513.524 * [misc]backup-simplify: Simplify 0 into 0 1544092513.524 * [misc]backup-simplify: Simplify 1 into 1 1544092513.525 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.525 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.525 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.525 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.525 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.526 * [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))) 1544092513.526 * [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)))) 1544092513.526 * [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))))) 1544092513.527 * [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))))) 1544092513.527 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092513.528 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092513.529 * [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))))) 1544092513.529 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.529 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.529 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.529 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of k in n 1544092513.529 * [misc]backup-simplify: Simplify k into k 1544092513.529 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.529 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.529 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.529 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.529 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.529 * [misc]backup-simplify: Simplify -2 into -2 1544092513.529 * [misc]taylor: Taking taylor expansion of n in n 1544092513.529 * [misc]backup-simplify: Simplify 0 into 0 1544092513.530 * [misc]backup-simplify: Simplify 1 into 1 1544092513.530 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.530 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.530 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.530 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.530 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.531 * [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))) 1544092513.531 * [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)))) 1544092513.532 * [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))))) 1544092513.532 * [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))))) 1544092513.532 * [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))))))) 1544092513.533 * [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))))))) 1544092513.533 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092513.536 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092513.536 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.536 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.536 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.537 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.537 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092513.538 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.540 * [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 1544092513.540 * [misc]backup-simplify: Simplify 0 into 0 1544092513.540 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.541 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092513.542 * [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))))) 1544092513.542 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1544092513.542 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1544092513.542 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092513.542 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092513.542 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.543 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of k in n 1544092513.543 * [misc]backup-simplify: Simplify k into k 1544092513.543 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.543 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.543 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.543 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.543 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.543 * [misc]backup-simplify: Simplify -2 into -2 1544092513.543 * [misc]taylor: Taking taylor expansion of n in n 1544092513.543 * [misc]backup-simplify: Simplify 0 into 0 1544092513.543 * [misc]backup-simplify: Simplify 1 into 1 1544092513.543 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.544 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.544 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.544 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.544 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.544 * [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))) 1544092513.545 * [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)))) 1544092513.545 * [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))))) 1544092513.545 * [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))))) 1544092513.546 * [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))))))) 1544092513.546 * [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))))))) 1544092513.549 * [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))))))))) 1544092513.549 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1544092513.549 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1544092513.549 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1544092513.549 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.549 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.549 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.549 * [misc]taylor: Taking taylor expansion of k in k 1544092513.549 * [misc]backup-simplify: Simplify 0 into 0 1544092513.549 * [misc]backup-simplify: Simplify 1 into 1 1544092513.549 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092513.549 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.549 * [misc]backup-simplify: Simplify 2 into 2 1544092513.549 * [misc]taylor: Taking taylor expansion of n in k 1544092513.549 * [misc]backup-simplify: Simplify n into n 1544092513.549 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092513.550 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092513.550 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.550 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.550 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.550 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1544092513.550 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1544092513.550 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092513.550 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092513.550 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092513.550 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092513.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.550 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092513.550 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.550 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.550 * [misc]taylor: Taking taylor expansion of k in n 1544092513.550 * [misc]backup-simplify: Simplify k into k 1544092513.551 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.551 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.551 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.551 * [misc]backup-simplify: Simplify 2 into 2 1544092513.551 * [misc]taylor: Taking taylor expansion of n in n 1544092513.551 * [misc]backup-simplify: Simplify 0 into 0 1544092513.551 * [misc]backup-simplify: Simplify 1 into 1 1544092513.551 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.551 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.551 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.551 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092513.551 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092513.551 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092513.552 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.552 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092513.552 * [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)))) 1544092513.552 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1544092513.552 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1544092513.552 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1544092513.552 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092513.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.552 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.552 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092513.552 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.553 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.553 * [misc]taylor: Taking taylor expansion of k in n 1544092513.553 * [misc]backup-simplify: Simplify k into k 1544092513.553 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092513.553 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092513.553 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.553 * [misc]backup-simplify: Simplify 2 into 2 1544092513.553 * [misc]taylor: Taking taylor expansion of n in n 1544092513.553 * [misc]backup-simplify: Simplify 0 into 0 1544092513.553 * [misc]backup-simplify: Simplify 1 into 1 1544092513.553 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092513.553 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092513.553 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.553 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092513.553 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092513.553 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092513.554 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.554 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1544092513.554 * [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)))) 1544092513.554 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1544092513.554 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1544092513.554 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1544092513.555 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544092513.555 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.555 * [misc]backup-simplify: Simplify 2 into 2 1544092513.555 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.555 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092513.555 * [misc]taylor: Taking taylor expansion of n in k 1544092513.555 * [misc]backup-simplify: Simplify n into n 1544092513.555 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092513.555 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.555 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.555 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.555 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.555 * [misc]taylor: Taking taylor expansion of k in k 1544092513.555 * [misc]backup-simplify: Simplify 0 into 0 1544092513.555 * [misc]backup-simplify: Simplify 1 into 1 1544092513.555 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1544092513.555 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.556 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.556 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.556 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1544092513.556 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544092513.556 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1544092513.557 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.559 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.559 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1544092513.559 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.559 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.560 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.560 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544092513.561 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.561 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.561 * [misc]backup-simplify: Simplify 0 into 0 1544092513.561 * [misc]backup-simplify: Simplify 0 into 0 1544092513.561 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092513.562 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.562 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.564 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.565 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1544092513.565 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.565 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1544092513.566 * [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))))) 1544092513.567 * [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))))) 1544092513.567 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092513.571 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092513.571 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1544092513.571 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.572 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.572 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092513.572 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1544092513.574 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092513.575 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.575 * [misc]backup-simplify: Simplify 0 into 0 1544092513.575 * [misc]backup-simplify: Simplify 0 into 0 1544092513.575 * [misc]backup-simplify: Simplify 0 into 0 1544092513.575 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.575 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.575 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.580 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092513.582 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1544092513.582 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.583 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1544092513.585 * [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))))) 1544092513.587 * [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))))) 1544092513.590 * [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))))) 1544092513.590 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.590 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1544092513.590 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.590 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.590 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.590 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.590 * [misc]taylor: Taking taylor expansion of k in k 1544092513.590 * [misc]backup-simplify: Simplify 0 into 0 1544092513.591 * [misc]backup-simplify: Simplify 1 into 1 1544092513.591 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.591 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092513.591 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092513.591 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.591 * [misc]backup-simplify: Simplify 2 into 2 1544092513.591 * [misc]taylor: Taking taylor expansion of n in k 1544092513.591 * [misc]backup-simplify: Simplify n into n 1544092513.591 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092513.591 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092513.591 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.591 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.592 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.592 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092513.592 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.592 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.592 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.592 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.592 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of k in n 1544092513.592 * [misc]backup-simplify: Simplify k into k 1544092513.592 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.592 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.592 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.592 * [misc]backup-simplify: Simplify 2 into 2 1544092513.592 * [misc]taylor: Taking taylor expansion of n in n 1544092513.592 * [misc]backup-simplify: Simplify 0 into 0 1544092513.592 * [misc]backup-simplify: Simplify 1 into 1 1544092513.593 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.593 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.593 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.593 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.593 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.593 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.594 * [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))) 1544092513.594 * [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)))) 1544092513.594 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.594 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.594 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.594 * [misc]taylor: Taking taylor expansion of k in n 1544092513.594 * [misc]backup-simplify: Simplify k into k 1544092513.594 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.594 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092513.595 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092513.595 * [misc]taylor: Taking taylor expansion of 2 in n 1544092513.595 * [misc]backup-simplify: Simplify 2 into 2 1544092513.595 * [misc]taylor: Taking taylor expansion of n in n 1544092513.595 * [misc]backup-simplify: Simplify 0 into 0 1544092513.595 * [misc]backup-simplify: Simplify 1 into 1 1544092513.595 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092513.595 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.595 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.595 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092513.595 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092513.596 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.596 * [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))) 1544092513.596 * [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)))) 1544092513.596 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1544092513.596 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.597 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.597 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.597 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of k in k 1544092513.597 * [misc]backup-simplify: Simplify 0 into 0 1544092513.597 * [misc]backup-simplify: Simplify 1 into 1 1544092513.597 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.597 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of (log 2) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of 2 in k 1544092513.597 * [misc]backup-simplify: Simplify 2 into 2 1544092513.597 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092513.597 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092513.597 * [misc]taylor: Taking taylor expansion of n in k 1544092513.597 * [misc]backup-simplify: Simplify n into n 1544092513.597 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092513.598 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.598 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.598 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.598 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092513.598 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1544092513.598 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1544092513.599 * [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)))) 1544092513.599 * [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)))) 1544092513.599 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092513.602 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092513.602 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.602 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.602 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.603 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.603 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.603 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1544092513.605 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.605 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.605 * [misc]backup-simplify: Simplify 0 into 0 1544092513.605 * [misc]backup-simplify: Simplify 0 into 0 1544092513.605 * [misc]backup-simplify: Simplify 0 into 0 1544092513.605 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.609 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092513.610 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092513.610 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092513.610 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.610 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.611 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.611 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1544092513.613 * [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 1544092513.613 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.613 * [misc]backup-simplify: Simplify 0 into 0 1544092513.613 * [misc]backup-simplify: Simplify 0 into 0 1544092513.614 * [misc]backup-simplify: Simplify 0 into 0 1544092513.614 * [misc]backup-simplify: Simplify 0 into 0 1544092513.614 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.621 * [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 1544092513.621 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092513.622 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092513.622 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.622 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.622 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092513.623 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1544092513.627 * [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 1544092513.627 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.627 * [misc]backup-simplify: Simplify 0 into 0 1544092513.627 * [misc]backup-simplify: Simplify 0 into 0 1544092513.627 * [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)))) 1544092513.627 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.627 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1544092513.627 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.627 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1544092513.627 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.628 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of k in k 1544092513.628 * [misc]backup-simplify: Simplify 0 into 0 1544092513.628 * [misc]backup-simplify: Simplify 1 into 1 1544092513.628 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.628 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.628 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.628 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092513.628 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.628 * [misc]backup-simplify: Simplify -2 into -2 1544092513.628 * [misc]taylor: Taking taylor expansion of n in k 1544092513.628 * [misc]backup-simplify: Simplify n into n 1544092513.628 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092513.628 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092513.628 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.629 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.629 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092513.629 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.629 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.629 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.629 * [misc]taylor: Taking taylor expansion of k in n 1544092513.629 * [misc]backup-simplify: Simplify k into k 1544092513.629 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.629 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.629 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.629 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.630 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.630 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.630 * [misc]backup-simplify: Simplify -2 into -2 1544092513.630 * [misc]taylor: Taking taylor expansion of n in n 1544092513.630 * [misc]backup-simplify: Simplify 0 into 0 1544092513.630 * [misc]backup-simplify: Simplify 1 into 1 1544092513.630 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.630 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.630 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.630 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.631 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.631 * [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))) 1544092513.631 * [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)))) 1544092513.631 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092513.631 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1544092513.631 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1544092513.631 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092513.631 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092513.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.632 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092513.632 * [misc]taylor: Taking taylor expansion of k in n 1544092513.632 * [misc]backup-simplify: Simplify k into k 1544092513.632 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092513.632 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092513.632 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.632 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092513.632 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092513.632 * [misc]taylor: Taking taylor expansion of -2 in n 1544092513.632 * [misc]backup-simplify: Simplify -2 into -2 1544092513.632 * [misc]taylor: Taking taylor expansion of n in n 1544092513.632 * [misc]backup-simplify: Simplify 0 into 0 1544092513.632 * [misc]backup-simplify: Simplify 1 into 1 1544092513.632 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092513.632 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.632 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092513.633 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092513.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.633 * [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))) 1544092513.634 * [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)))) 1544092513.634 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1544092513.634 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1544092513.634 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.634 * [misc]taylor: Taking taylor expansion of k in k 1544092513.634 * [misc]backup-simplify: Simplify 0 into 0 1544092513.634 * [misc]backup-simplify: Simplify 1 into 1 1544092513.634 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.634 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.634 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1544092513.635 * [misc]taylor: Taking taylor expansion of (log -2) in k 1544092513.635 * [misc]taylor: Taking taylor expansion of -2 in k 1544092513.635 * [misc]backup-simplify: Simplify -2 into -2 1544092513.635 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092513.635 * [misc]taylor: Taking taylor expansion of (log n) in k 1544092513.635 * [misc]taylor: Taking taylor expansion of n in k 1544092513.635 * [misc]backup-simplify: Simplify n into n 1544092513.635 * [misc]backup-simplify: Simplify (log n) into (log n) 1544092513.635 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.635 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.635 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1544092513.636 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1544092513.636 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1544092513.636 * [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)))) 1544092513.636 * [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)))) 1544092513.637 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092513.640 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092513.640 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092513.640 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092513.640 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.641 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1544092513.642 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092513.642 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.642 * [misc]backup-simplify: Simplify 0 into 0 1544092513.642 * [misc]backup-simplify: Simplify 0 into 0 1544092513.642 * [misc]backup-simplify: Simplify 0 into 0 1544092513.643 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.647 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544092513.647 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092513.648 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092513.648 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.648 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.649 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1544092513.651 * [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 1544092513.651 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.651 * [misc]backup-simplify: Simplify 0 into 0 1544092513.651 * [misc]backup-simplify: Simplify 0 into 0 1544092513.651 * [misc]backup-simplify: Simplify 0 into 0 1544092513.651 * [misc]backup-simplify: Simplify 0 into 0 1544092513.652 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092513.659 * [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 1544092513.659 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092513.659 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1544092513.659 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.660 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092513.660 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1544092513.664 * [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 1544092513.664 * [misc]taylor: Taking taylor expansion of 0 in k 1544092513.664 * [misc]backup-simplify: Simplify 0 into 0 1544092513.664 * [misc]backup-simplify: Simplify 0 into 0 1544092513.664 * [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))))) 1544092513.664 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1) 1544092513.665 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ k 2)))) into (pow PI (- 1/2 (* 1/2 k))) 1544092513.665 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1544092513.665 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092513.665 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092513.665 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092513.665 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.665 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.665 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.665 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.665 * [misc]taylor: Taking taylor expansion of k in k 1544092513.665 * [misc]backup-simplify: Simplify 0 into 0 1544092513.665 * [misc]backup-simplify: Simplify 1 into 1 1544092513.665 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.666 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.666 * [misc]backup-simplify: Simplify PI into PI 1544092513.666 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.666 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.666 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.666 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.667 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.668 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092513.668 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.668 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.668 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.668 * [misc]taylor: Taking taylor expansion of k in k 1544092513.668 * [misc]backup-simplify: Simplify 0 into 0 1544092513.668 * [misc]backup-simplify: Simplify 1 into 1 1544092513.668 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.668 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.668 * [misc]backup-simplify: Simplify PI into PI 1544092513.668 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.668 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092513.669 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.669 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.669 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.670 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092513.670 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1544092513.673 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092513.673 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092513.673 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.673 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.674 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544092513.678 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092513.679 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092513.683 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092513.683 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092513.684 * [misc]backup-simplify: Simplify (- 0) into 0 1544092513.684 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092513.685 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544092513.691 * [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))) 1544092513.692 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1544092513.695 * [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)))) 1544092513.695 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.695 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1544092513.696 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.696 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.696 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.696 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of k in k 1544092513.696 * [misc]backup-simplify: Simplify 0 into 0 1544092513.696 * [misc]backup-simplify: Simplify 1 into 1 1544092513.696 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.696 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.696 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.696 * [misc]backup-simplify: Simplify PI into PI 1544092513.696 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.697 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.697 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.697 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.697 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092513.698 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.698 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.698 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.698 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.698 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of k in k 1544092513.698 * [misc]backup-simplify: Simplify 0 into 0 1544092513.698 * [misc]backup-simplify: Simplify 1 into 1 1544092513.698 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.698 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.698 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.698 * [misc]backup-simplify: Simplify PI into PI 1544092513.699 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.699 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.699 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092513.699 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092513.700 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092513.700 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.700 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify 0 into 0 1544092513.700 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1544092513.701 * [misc]backup-simplify: Simplify (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.701 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1544092513.701 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.701 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.701 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.701 * [misc]taylor: Taking taylor expansion of k in k 1544092513.701 * [misc]backup-simplify: Simplify 0 into 0 1544092513.701 * [misc]backup-simplify: Simplify 1 into 1 1544092513.701 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.701 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.702 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.702 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.702 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.702 * [misc]backup-simplify: Simplify PI into PI 1544092513.702 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.702 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.702 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.703 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.703 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.703 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.703 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.703 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092513.703 * [misc]taylor: Taking taylor expansion of k in k 1544092513.703 * [misc]backup-simplify: Simplify 0 into 0 1544092513.703 * [misc]backup-simplify: Simplify 1 into 1 1544092513.704 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092513.704 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092513.704 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092513.704 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092513.704 * [misc]taylor: Taking taylor expansion of PI in k 1544092513.704 * [misc]backup-simplify: Simplify PI into PI 1544092513.704 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092513.704 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092513.704 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092513.705 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092513.705 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.705 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092513.705 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify 0 into 0 1544092513.706 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1544092513.706 * * * [misc]progress: simplifying candidates 1544092513.706 * * * * [misc]progress: [ 1 / 301 ] simplifiying candidate # 1544092513.706 * * * * [misc]progress: [ 2 / 301 ] simplifiying candidate # 1544092513.706 * * * * [misc]progress: [ 3 / 301 ] simplifiying candidate # 1544092513.706 * * * * [misc]progress: [ 4 / 301 ] simplifiying candidate # 1544092513.707 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092513.707 * * [misc]simplify: iters left: 6 (16 enodes) 1544092513.713 * * [misc]simplify: iters left: 5 (31 enodes) 1544092513.725 * * [misc]simplify: iters left: 4 (70 enodes) 1544092513.759 * * [misc]simplify: iters left: 3 (225 enodes) 1544092513.945 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1544092513.945 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092513.945 * * * * [misc]progress: [ 5 / 301 ] simplifiying candidate # 1544092513.945 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1544092513.945 * * [misc]simplify: iters left: 6 (16 enodes) 1544092513.952 * * [misc]simplify: iters left: 5 (31 enodes) 1544092513.959 * * [misc]simplify: iters left: 4 (70 enodes) 1544092513.978 * * [misc]simplify: iters left: 3 (225 enodes) 1544092514.121 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))) 1544092514.121 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log PI)) (fma (log (* 2 n)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092514.121 * * * * [misc]progress: [ 6 / 301 ] simplifiying candidate # 1544092514.122 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092514.122 * * [misc]simplify: iters left: 6 (16 enodes) 1544092514.124 * * [misc]simplify: iters left: 5 (29 enodes) 1544092514.129 * * [misc]simplify: iters left: 4 (58 enodes) 1544092514.149 * * [misc]simplify: iters left: 3 (142 enodes) 1544092514.224 * * [misc]simplify: iters left: 2 (491 enodes) 1544092514.552 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))) 1544092514.552 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (+ (log (* 2 n)) (log PI)) (- (log (sqrt k)))))) 1544092514.552 * * * * [misc]progress: [ 7 / 301 ] simplifiying candidate # 1544092514.552 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092514.552 * * [misc]simplify: iters left: 6 (15 enodes) 1544092514.555 * * [misc]simplify: iters left: 5 (25 enodes) 1544092514.558 * * [misc]simplify: iters left: 4 (42 enodes) 1544092514.566 * * [misc]simplify: iters left: 3 (87 enodes) 1544092514.581 * * [misc]simplify: iters left: 2 (190 enodes) 1544092514.668 * [exit]simplify: Simplified to (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))) 1544092514.668 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log PI) (- 1/2 (/ k 2))) (fma (+ (/ k 2) -1/2) (log (* 2 n)) (log (sqrt k)))))) 1544092514.668 * * * * [misc]progress: [ 8 / 301 ] simplifiying candidate # 1544092514.668 * * * * [misc]progress: [ 9 / 301 ] simplifiying candidate # 1544092514.668 * * * * [misc]progress: [ 10 / 301 ] simplifiying candidate # 1544092514.668 * [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)))))) 1544092514.668 * * [misc]simplify: iters left: 6 (21 enodes) 1544092514.672 * * [misc]simplify: iters left: 5 (44 enodes) 1544092514.680 * * [misc]simplify: iters left: 4 (136 enodes) 1544092514.761 * [exit]simplify: Simplified to (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092514.761 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (/ (/ (* (sqrt k) k) (pow (* n 2) (- 1/2 (/ k 2)))) (* (pow (* n 2) (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544092514.761 * * * * [misc]progress: [ 11 / 301 ] simplifiying candidate # 1544092514.761 * [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)))))) 1544092514.762 * * [misc]simplify: iters left: 6 (19 enodes) 1544092514.768 * * [misc]simplify: iters left: 5 (43 enodes) 1544092514.781 * * [misc]simplify: iters left: 4 (116 enodes) 1544092514.831 * * [misc]simplify: iters left: 3 (342 enodes) 1544092515.088 * [exit]simplify: Simplified to (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3) 1544092515.088 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (pow (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt k))) 3))) 1544092515.088 * * * * [misc]progress: [ 12 / 301 ] simplifiying candidate # 1544092515.088 * * * * [misc]progress: [ 13 / 301 ] simplifiying candidate # 1544092515.088 * * * * [misc]progress: [ 14 / 301 ] simplifiying candidate # 1544092515.088 * * * * [misc]progress: [ 15 / 301 ] simplifiying candidate # 1544092515.088 * * * * [misc]progress: [ 16 / 301 ] simplifiying candidate # 1544092515.089 * [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))))))) 1544092515.089 * * [misc]simplify: iters left: 6 (17 enodes) 1544092515.093 * * [misc]simplify: iters left: 5 (26 enodes) 1544092515.100 * * [misc]simplify: iters left: 4 (31 enodes) 1544092515.107 * * [misc]simplify: iters left: 3 (33 enodes) 1544092515.115 * [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)))))) 1544092515.115 * [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)))))))) 1544092515.116 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092515.116 * * [misc]simplify: iters left: 6 (17 enodes) 1544092515.121 * * [misc]simplify: iters left: 5 (27 enodes) 1544092515.128 * * [misc]simplify: iters left: 4 (41 enodes) 1544092515.138 * * [misc]simplify: iters left: 3 (71 enodes) 1544092515.154 * * [misc]simplify: iters left: 2 (93 enodes) 1544092515.165 * * [misc]simplify: iters left: 1 (101 enodes) 1544092515.179 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092515.179 * [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)))))))) 1544092515.179 * * * * [misc]progress: [ 17 / 301 ] simplifiying candidate # 1544092515.180 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092515.180 * * [misc]simplify: iters left: 6 (16 enodes) 1544092515.182 * * [misc]simplify: iters left: 5 (23 enodes) 1544092515.185 * * [misc]simplify: iters left: 4 (28 enodes) 1544092515.190 * * [misc]simplify: iters left: 3 (30 enodes) 1544092515.194 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092515.194 * [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)))))))) 1544092515.194 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092515.195 * * [misc]simplify: iters left: 6 (17 enodes) 1544092515.197 * * [misc]simplify: iters left: 5 (27 enodes) 1544092515.203 * * [misc]simplify: iters left: 4 (41 enodes) 1544092515.215 * * [misc]simplify: iters left: 3 (71 enodes) 1544092515.232 * * [misc]simplify: iters left: 2 (93 enodes) 1544092515.252 * * [misc]simplify: iters left: 1 (101 enodes) 1544092515.275 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092515.275 * [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)))))))) 1544092515.275 * * * * [misc]progress: [ 18 / 301 ] simplifiying candidate # 1544092515.275 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092515.275 * * [misc]simplify: iters left: 6 (15 enodes) 1544092515.280 * * [misc]simplify: iters left: 5 (25 enodes) 1544092515.287 * * [misc]simplify: iters left: 4 (34 enodes) 1544092515.298 * * [misc]simplify: iters left: 3 (48 enodes) 1544092515.307 * * [misc]simplify: iters left: 2 (53 enodes) 1544092515.314 * * [misc]simplify: iters left: 1 (60 enodes) 1544092515.321 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092515.321 * [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))))))) 1544092515.322 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092515.322 * * [misc]simplify: iters left: 6 (15 enodes) 1544092515.324 * * [misc]simplify: iters left: 5 (26 enodes) 1544092515.328 * * [misc]simplify: iters left: 4 (42 enodes) 1544092515.336 * * [misc]simplify: iters left: 3 (78 enodes) 1544092515.357 * * [misc]simplify: iters left: 2 (126 enodes) 1544092515.392 * * [misc]simplify: iters left: 1 (179 enodes) 1544092515.427 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092515.428 * [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)))))) 1544092515.428 * * * * [misc]progress: [ 19 / 301 ] simplifiying candidate # 1544092515.428 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092515.428 * * [misc]simplify: iters left: 6 (15 enodes) 1544092515.430 * * [misc]simplify: iters left: 5 (25 enodes) 1544092515.434 * * [misc]simplify: iters left: 4 (34 enodes) 1544092515.439 * * [misc]simplify: iters left: 3 (48 enodes) 1544092515.445 * * [misc]simplify: iters left: 2 (53 enodes) 1544092515.452 * * [misc]simplify: iters left: 1 (60 enodes) 1544092515.460 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092515.460 * [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))))))) 1544092515.460 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092515.460 * * [misc]simplify: iters left: 6 (15 enodes) 1544092515.463 * * [misc]simplify: iters left: 5 (26 enodes) 1544092515.467 * * [misc]simplify: iters left: 4 (42 enodes) 1544092515.473 * * [misc]simplify: iters left: 3 (78 enodes) 1544092515.485 * * [misc]simplify: iters left: 2 (126 enodes) 1544092515.506 * * [misc]simplify: iters left: 1 (179 enodes) 1544092515.558 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092515.558 * [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)))))) 1544092515.558 * * * * [misc]progress: [ 20 / 301 ] simplifiying candidate # 1544092515.559 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092515.559 * * [misc]simplify: iters left: 6 (16 enodes) 1544092515.564 * * [misc]simplify: iters left: 5 (26 enodes) 1544092515.571 * * [misc]simplify: iters left: 4 (38 enodes) 1544092515.582 * * [misc]simplify: iters left: 3 (52 enodes) 1544092515.593 * * [misc]simplify: iters left: 2 (57 enodes) 1544092515.600 * * [misc]simplify: iters left: 1 (64 enodes) 1544092515.610 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092515.611 * [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))))))) 1544092515.611 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092515.611 * * [misc]simplify: iters left: 6 (15 enodes) 1544092515.613 * * [misc]simplify: iters left: 5 (26 enodes) 1544092515.617 * * [misc]simplify: iters left: 4 (43 enodes) 1544092515.628 * * [misc]simplify: iters left: 3 (79 enodes) 1544092515.649 * * [misc]simplify: iters left: 2 (127 enodes) 1544092515.685 * * [misc]simplify: iters left: 1 (180 enodes) 1544092515.739 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092515.739 * [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)))))) 1544092515.739 * * * * [misc]progress: [ 21 / 301 ] simplifiying candidate # 1544092515.740 * [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))))))) 1544092515.740 * * [misc]simplify: iters left: 6 (19 enodes) 1544092515.746 * * [misc]simplify: iters left: 5 (34 enodes) 1544092515.756 * * [misc]simplify: iters left: 4 (57 enodes) 1544092515.775 * * [misc]simplify: iters left: 3 (84 enodes) 1544092515.801 * * [misc]simplify: iters left: 2 (118 enodes) 1544092515.836 * * [misc]simplify: iters left: 1 (141 enodes) 1544092515.886 * [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)))))) 1544092515.886 * [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)))))))) 1544092515.886 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092515.886 * * [misc]simplify: iters left: 6 (18 enodes) 1544092515.892 * * [misc]simplify: iters left: 5 (30 enodes) 1544092515.900 * * [misc]simplify: iters left: 4 (47 enodes) 1544092515.913 * * [misc]simplify: iters left: 3 (83 enodes) 1544092515.935 * * [misc]simplify: iters left: 2 (131 enodes) 1544092515.972 * * [misc]simplify: iters left: 1 (184 enodes) 1544092516.029 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092516.029 * [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)))))) 1544092516.029 * * * * [misc]progress: [ 22 / 301 ] simplifiying candidate # 1544092516.030 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092516.030 * * [misc]simplify: iters left: 6 (18 enodes) 1544092516.035 * * [misc]simplify: iters left: 5 (29 enodes) 1544092516.043 * * [misc]simplify: iters left: 4 (41 enodes) 1544092516.054 * * [misc]simplify: iters left: 3 (55 enodes) 1544092516.068 * * [misc]simplify: iters left: 2 (60 enodes) 1544092516.075 * * [misc]simplify: iters left: 1 (67 enodes) 1544092516.084 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092516.084 * [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)))))))) 1544092516.084 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092516.084 * * [misc]simplify: iters left: 6 (18 enodes) 1544092516.087 * * [misc]simplify: iters left: 5 (30 enodes) 1544092516.091 * * [misc]simplify: iters left: 4 (47 enodes) 1544092516.098 * * [misc]simplify: iters left: 3 (83 enodes) 1544092516.118 * * [misc]simplify: iters left: 2 (131 enodes) 1544092516.156 * * [misc]simplify: iters left: 1 (184 enodes) 1544092516.210 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092516.210 * [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)))))) 1544092516.210 * * * * [misc]progress: [ 23 / 301 ] simplifiying candidate # 1544092516.210 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092516.210 * * [misc]simplify: iters left: 6 (12 enodes) 1544092516.214 * * [misc]simplify: iters left: 5 (22 enodes) 1544092516.221 * * [misc]simplify: iters left: 4 (35 enodes) 1544092516.231 * * [misc]simplify: iters left: 3 (57 enodes) 1544092516.248 * * [misc]simplify: iters left: 2 (124 enodes) 1544092516.283 * * [misc]simplify: iters left: 1 (186 enodes) 1544092516.298 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092516.298 * [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))))))) 1544092516.298 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092516.298 * * [misc]simplify: iters left: 6 (17 enodes) 1544092516.303 * * [misc]simplify: iters left: 5 (29 enodes) 1544092516.311 * * [misc]simplify: iters left: 4 (46 enodes) 1544092516.325 * * [misc]simplify: iters left: 3 (82 enodes) 1544092516.339 * * [misc]simplify: iters left: 2 (130 enodes) 1544092516.360 * * [misc]simplify: iters left: 1 (183 enodes) 1544092516.387 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092516.387 * [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)))))) 1544092516.387 * * * * [misc]progress: [ 24 / 301 ] simplifiying candidate # 1544092516.387 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092516.387 * * [misc]simplify: iters left: 6 (14 enodes) 1544092516.391 * * [misc]simplify: iters left: 5 (22 enodes) 1544092516.396 * * [misc]simplify: iters left: 4 (27 enodes) 1544092516.402 * * [misc]simplify: iters left: 3 (31 enodes) 1544092516.409 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092516.409 * [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))))))) 1544092516.409 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092516.410 * * [misc]simplify: iters left: 6 (15 enodes) 1544092516.414 * * [misc]simplify: iters left: 5 (26 enodes) 1544092516.420 * * [misc]simplify: iters left: 4 (42 enodes) 1544092516.431 * * [misc]simplify: iters left: 3 (78 enodes) 1544092516.450 * * [misc]simplify: iters left: 2 (126 enodes) 1544092516.487 * * [misc]simplify: iters left: 1 (179 enodes) 1544092516.540 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092516.540 * [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)))))) 1544092516.540 * * * * [misc]progress: [ 25 / 301 ] simplifiying candidate # 1544092516.540 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092516.540 * * [misc]simplify: iters left: 6 (14 enodes) 1544092516.545 * * [misc]simplify: iters left: 5 (22 enodes) 1544092516.551 * * [misc]simplify: iters left: 4 (27 enodes) 1544092516.559 * * [misc]simplify: iters left: 3 (31 enodes) 1544092516.567 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092516.567 * [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))))))) 1544092516.567 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092516.567 * * [misc]simplify: iters left: 6 (15 enodes) 1544092516.572 * * [misc]simplify: iters left: 5 (26 enodes) 1544092516.580 * * [misc]simplify: iters left: 4 (42 enodes) 1544092516.592 * * [misc]simplify: iters left: 3 (78 enodes) 1544092516.615 * * [misc]simplify: iters left: 2 (126 enodes) 1544092516.651 * * [misc]simplify: iters left: 1 (179 enodes) 1544092516.706 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092516.706 * [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)))))) 1544092516.706 * * * * [misc]progress: [ 26 / 301 ] simplifiying candidate # 1544092516.706 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092516.706 * * [misc]simplify: iters left: 6 (15 enodes) 1544092516.711 * * [misc]simplify: iters left: 5 (23 enodes) 1544092516.718 * * [misc]simplify: iters left: 4 (31 enodes) 1544092516.726 * * [misc]simplify: iters left: 3 (35 enodes) 1544092516.735 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092516.735 * [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))))))) 1544092516.735 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092516.736 * * [misc]simplify: iters left: 6 (15 enodes) 1544092516.741 * * [misc]simplify: iters left: 5 (26 enodes) 1544092516.749 * * [misc]simplify: iters left: 4 (43 enodes) 1544092516.761 * * [misc]simplify: iters left: 3 (79 enodes) 1544092516.772 * * [misc]simplify: iters left: 2 (127 enodes) 1544092516.792 * * [misc]simplify: iters left: 1 (180 enodes) 1544092516.820 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092516.820 * [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)))))) 1544092516.820 * * * * [misc]progress: [ 27 / 301 ] simplifiying candidate # 1544092516.820 * [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))))))) 1544092516.820 * * [misc]simplify: iters left: 6 (18 enodes) 1544092516.823 * * [misc]simplify: iters left: 5 (29 enodes) 1544092516.831 * * [misc]simplify: iters left: 4 (39 enodes) 1544092516.843 * * [misc]simplify: iters left: 3 (50 enodes) 1544092516.857 * * [misc]simplify: iters left: 2 (58 enodes) 1544092516.871 * * [misc]simplify: iters left: 1 (60 enodes) 1544092516.887 * [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)))))) 1544092516.887 * [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)))))))) 1544092516.887 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092516.888 * * [misc]simplify: iters left: 6 (18 enodes) 1544092516.893 * * [misc]simplify: iters left: 5 (30 enodes) 1544092516.902 * * [misc]simplify: iters left: 4 (47 enodes) 1544092516.915 * * [misc]simplify: iters left: 3 (83 enodes) 1544092516.936 * * [misc]simplify: iters left: 2 (131 enodes) 1544092516.962 * * [misc]simplify: iters left: 1 (184 enodes) 1544092517.003 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092517.003 * [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)))))) 1544092517.003 * * * * [misc]progress: [ 28 / 301 ] simplifiying candidate # 1544092517.003 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092517.004 * * [misc]simplify: iters left: 6 (17 enodes) 1544092517.009 * * [misc]simplify: iters left: 5 (26 enodes) 1544092517.016 * * [misc]simplify: iters left: 4 (34 enodes) 1544092517.025 * * [misc]simplify: iters left: 3 (38 enodes) 1544092517.035 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092517.035 * [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)))))))) 1544092517.035 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092517.036 * * [misc]simplify: iters left: 6 (18 enodes) 1544092517.041 * * [misc]simplify: iters left: 5 (30 enodes) 1544092517.050 * * [misc]simplify: iters left: 4 (47 enodes) 1544092517.064 * * [misc]simplify: iters left: 3 (83 enodes) 1544092517.085 * * [misc]simplify: iters left: 2 (131 enodes) 1544092517.125 * * [misc]simplify: iters left: 1 (184 enodes) 1544092517.176 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092517.176 * [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)))))) 1544092517.176 * * * * [misc]progress: [ 29 / 301 ] simplifiying candidate # 1544092517.176 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1544092517.176 * * [misc]simplify: iters left: 6 (11 enodes) 1544092517.178 * * [misc]simplify: iters left: 5 (19 enodes) 1544092517.181 * * [misc]simplify: iters left: 4 (28 enodes) 1544092517.185 * * [misc]simplify: iters left: 3 (32 enodes) 1544092517.188 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092517.188 * [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))))))) 1544092517.188 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092517.188 * * [misc]simplify: iters left: 6 (17 enodes) 1544092517.191 * * [misc]simplify: iters left: 5 (29 enodes) 1544092517.195 * * [misc]simplify: iters left: 4 (46 enodes) 1544092517.202 * * [misc]simplify: iters left: 3 (82 enodes) 1544092517.212 * * [misc]simplify: iters left: 2 (130 enodes) 1544092517.245 * * [misc]simplify: iters left: 1 (183 enodes) 1544092517.297 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092517.297 * [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)))))) 1544092517.297 * * * * [misc]progress: [ 30 / 301 ] simplifiying candidate # 1544092517.297 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544092517.298 * * [misc]simplify: iters left: 6 (12 enodes) 1544092517.302 * * [misc]simplify: iters left: 5 (22 enodes) 1544092517.308 * * [misc]simplify: iters left: 4 (26 enodes) 1544092517.315 * * [misc]simplify: iters left: 3 (37 enodes) 1544092517.324 * * [misc]simplify: iters left: 2 (42 enodes) 1544092517.334 * * [misc]simplify: iters left: 1 (51 enodes) 1544092517.344 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092517.344 * [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))))))) 1544092517.345 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092517.345 * * [misc]simplify: iters left: 6 (14 enodes) 1544092517.347 * * [misc]simplify: iters left: 5 (25 enodes) 1544092517.352 * * [misc]simplify: iters left: 4 (41 enodes) 1544092517.358 * * [misc]simplify: iters left: 3 (77 enodes) 1544092517.368 * * [misc]simplify: iters left: 2 (125 enodes) 1544092517.396 * * [misc]simplify: iters left: 1 (178 enodes) 1544092517.447 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092517.447 * [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))))) 1544092517.447 * * * * [misc]progress: [ 31 / 301 ] simplifiying candidate # 1544092517.448 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544092517.448 * * [misc]simplify: iters left: 6 (12 enodes) 1544092517.452 * * [misc]simplify: iters left: 5 (22 enodes) 1544092517.457 * * [misc]simplify: iters left: 4 (26 enodes) 1544092517.465 * * [misc]simplify: iters left: 3 (37 enodes) 1544092517.476 * * [misc]simplify: iters left: 2 (42 enodes) 1544092517.486 * * [misc]simplify: iters left: 1 (51 enodes) 1544092517.498 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092517.498 * [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))))))) 1544092517.498 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092517.498 * * [misc]simplify: iters left: 6 (14 enodes) 1544092517.503 * * [misc]simplify: iters left: 5 (25 enodes) 1544092517.510 * * [misc]simplify: iters left: 4 (41 enodes) 1544092517.522 * * [misc]simplify: iters left: 3 (77 enodes) 1544092517.532 * * [misc]simplify: iters left: 2 (125 enodes) 1544092517.550 * * [misc]simplify: iters left: 1 (178 enodes) 1544092517.587 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092517.587 * [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))))) 1544092517.587 * * * * [misc]progress: [ 32 / 301 ] simplifiying candidate # 1544092517.587 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092517.587 * * [misc]simplify: iters left: 6 (14 enodes) 1544092517.592 * * [misc]simplify: iters left: 5 (24 enodes) 1544092517.598 * * [misc]simplify: iters left: 4 (31 enodes) 1544092517.606 * * [misc]simplify: iters left: 3 (42 enodes) 1544092517.615 * * [misc]simplify: iters left: 2 (47 enodes) 1544092517.625 * * [misc]simplify: iters left: 1 (57 enodes) 1544092517.632 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544092517.632 * [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))))))) 1544092517.632 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092517.632 * * [misc]simplify: iters left: 6 (14 enodes) 1544092517.635 * * [misc]simplify: iters left: 5 (25 enodes) 1544092517.638 * * [misc]simplify: iters left: 4 (42 enodes) 1544092517.644 * * [misc]simplify: iters left: 3 (78 enodes) 1544092517.654 * * [misc]simplify: iters left: 2 (126 enodes) 1544092517.679 * * [misc]simplify: iters left: 1 (179 enodes) 1544092517.731 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1544092517.731 * [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)))))) 1544092517.731 * * * * [misc]progress: [ 33 / 301 ] simplifiying candidate # 1544092517.731 * [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))))))) 1544092517.731 * * [misc]simplify: iters left: 6 (17 enodes) 1544092517.736 * * [misc]simplify: iters left: 5 (30 enodes) 1544092517.745 * * [misc]simplify: iters left: 4 (39 enodes) 1544092517.756 * * [misc]simplify: iters left: 3 (56 enodes) 1544092517.771 * * [misc]simplify: iters left: 2 (73 enodes) 1544092517.791 * * [misc]simplify: iters left: 1 (94 enodes) 1544092517.823 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1544092517.823 * [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)))))))) 1544092517.824 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092517.824 * * [misc]simplify: iters left: 6 (17 enodes) 1544092517.830 * * [misc]simplify: iters left: 5 (29 enodes) 1544092517.838 * * [misc]simplify: iters left: 4 (46 enodes) 1544092517.860 * * [misc]simplify: iters left: 3 (82 enodes) 1544092517.884 * * [misc]simplify: iters left: 2 (130 enodes) 1544092517.908 * * [misc]simplify: iters left: 1 (183 enodes) 1544092517.942 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092517.942 * [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))))) 1544092517.942 * * * * [misc]progress: [ 34 / 301 ] simplifiying candidate # 1544092517.942 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092517.942 * * [misc]simplify: iters left: 6 (16 enodes) 1544092517.945 * * [misc]simplify: iters left: 5 (27 enodes) 1544092517.949 * * [misc]simplify: iters left: 4 (34 enodes) 1544092517.953 * * [misc]simplify: iters left: 3 (45 enodes) 1544092517.959 * * [misc]simplify: iters left: 2 (50 enodes) 1544092517.965 * * [misc]simplify: iters left: 1 (60 enodes) 1544092517.978 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092517.978 * [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)))))))) 1544092517.978 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092517.978 * * [misc]simplify: iters left: 6 (17 enodes) 1544092517.983 * * [misc]simplify: iters left: 5 (29 enodes) 1544092517.992 * * [misc]simplify: iters left: 4 (46 enodes) 1544092518.000 * * [misc]simplify: iters left: 3 (82 enodes) 1544092518.011 * * [misc]simplify: iters left: 2 (130 enodes) 1544092518.035 * * [misc]simplify: iters left: 1 (183 enodes) 1544092518.080 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092518.080 * [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))))) 1544092518.080 * * * * [misc]progress: [ 35 / 301 ] simplifiying candidate # 1544092518.081 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1544092518.081 * * [misc]simplify: iters left: 6 (8 enodes) 1544092518.082 * * [misc]simplify: iters left: 5 (14 enodes) 1544092518.084 * * [misc]simplify: iters left: 4 (16 enodes) 1544092518.086 * * [misc]simplify: iters left: 3 (18 enodes) 1544092518.088 * [exit]simplify: Simplified to (sqrt PI) 1544092518.088 * [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))))))) 1544092518.088 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092518.088 * * [misc]simplify: iters left: 6 (16 enodes) 1544092518.091 * * [misc]simplify: iters left: 5 (28 enodes) 1544092518.095 * * [misc]simplify: iters left: 4 (45 enodes) 1544092518.103 * * [misc]simplify: iters left: 3 (81 enodes) 1544092518.123 * * [misc]simplify: iters left: 2 (129 enodes) 1544092518.149 * * [misc]simplify: iters left: 1 (181 enodes) 1544092518.189 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092518.189 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092518.189 * * * * [misc]progress: [ 36 / 301 ] simplifiying candidate # 1544092518.189 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1544092518.189 * * [misc]simplify: iters left: 6 (7 enodes) 1544092518.190 * * [misc]simplify: iters left: 5 (13 enodes) 1544092518.192 * * [misc]simplify: iters left: 4 (19 enodes) 1544092518.194 * [exit]simplify: Simplified to (sqrt PI) 1544092518.194 * [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))))))) 1544092518.194 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092518.195 * * [misc]simplify: iters left: 6 (16 enodes) 1544092518.197 * * [misc]simplify: iters left: 5 (28 enodes) 1544092518.201 * * [misc]simplify: iters left: 4 (45 enodes) 1544092518.208 * * [misc]simplify: iters left: 3 (81 enodes) 1544092518.226 * * [misc]simplify: iters left: 2 (129 enodes) 1544092518.265 * * [misc]simplify: iters left: 1 (181 enodes) 1544092518.294 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092518.294 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092518.294 * * * * [misc]progress: [ 37 / 301 ] simplifiying candidate # 1544092518.294 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1544092518.294 * * [misc]simplify: iters left: 6 (8 enodes) 1544092518.296 * * [misc]simplify: iters left: 5 (12 enodes) 1544092518.297 * * [misc]simplify: iters left: 4 (14 enodes) 1544092518.299 * * [misc]simplify: iters left: 3 (16 enodes) 1544092518.301 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092518.301 * [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))))))) 1544092518.301 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092518.301 * * [misc]simplify: iters left: 6 (16 enodes) 1544092518.305 * * [misc]simplify: iters left: 5 (30 enodes) 1544092518.313 * * [misc]simplify: iters left: 4 (45 enodes) 1544092518.327 * * [misc]simplify: iters left: 3 (88 enodes) 1544092518.343 * * [misc]simplify: iters left: 2 (130 enodes) 1544092518.363 * * [misc]simplify: iters left: 1 (185 enodes) 1544092518.399 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1544092518.399 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1544092518.399 * * * * [misc]progress: [ 38 / 301 ] simplifiying candidate # 1544092518.399 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092518.399 * * [misc]simplify: iters left: 6 (13 enodes) 1544092518.401 * * [misc]simplify: iters left: 5 (21 enodes) 1544092518.404 * * [misc]simplify: iters left: 4 (26 enodes) 1544092518.410 * * [misc]simplify: iters left: 3 (30 enodes) 1544092518.417 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1544092518.417 * [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))))) 1544092518.417 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092518.418 * * [misc]simplify: iters left: 6 (12 enodes) 1544092518.421 * * [misc]simplify: iters left: 5 (21 enodes) 1544092518.427 * * [misc]simplify: iters left: 4 (34 enodes) 1544092518.437 * * [misc]simplify: iters left: 3 (64 enodes) 1544092518.455 * * [misc]simplify: iters left: 2 (86 enodes) 1544092518.465 * * [misc]simplify: iters left: 1 (94 enodes) 1544092518.475 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544092518.475 * [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))))) 1544092518.475 * * * * [misc]progress: [ 39 / 301 ] simplifiying candidate # 1544092518.475 * [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))))))) 1544092518.475 * * [misc]simplify: iters left: 6 (17 enodes) 1544092518.478 * * [misc]simplify: iters left: 5 (26 enodes) 1544092518.481 * * [misc]simplify: iters left: 4 (31 enodes) 1544092518.486 * * [misc]simplify: iters left: 3 (33 enodes) 1544092518.490 * [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)))))) 1544092518.490 * [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)))))))) 1544092518.490 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092518.490 * * [misc]simplify: iters left: 6 (17 enodes) 1544092518.495 * * [misc]simplify: iters left: 5 (27 enodes) 1544092518.502 * * [misc]simplify: iters left: 4 (41 enodes) 1544092518.514 * * [misc]simplify: iters left: 3 (71 enodes) 1544092518.531 * * [misc]simplify: iters left: 2 (93 enodes) 1544092518.552 * * [misc]simplify: iters left: 1 (101 enodes) 1544092518.576 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092518.576 * [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)))))))) 1544092518.576 * * * * [misc]progress: [ 40 / 301 ] simplifiying candidate # 1544092518.577 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092518.577 * * [misc]simplify: iters left: 6 (16 enodes) 1544092518.582 * * [misc]simplify: iters left: 5 (23 enodes) 1544092518.588 * * [misc]simplify: iters left: 4 (28 enodes) 1544092518.595 * * [misc]simplify: iters left: 3 (30 enodes) 1544092518.603 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092518.603 * [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)))))))) 1544092518.603 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092518.604 * * [misc]simplify: iters left: 6 (17 enodes) 1544092518.609 * * [misc]simplify: iters left: 5 (27 enodes) 1544092518.617 * * [misc]simplify: iters left: 4 (41 enodes) 1544092518.628 * * [misc]simplify: iters left: 3 (71 enodes) 1544092518.645 * * [misc]simplify: iters left: 2 (93 enodes) 1544092518.666 * * [misc]simplify: iters left: 1 (101 enodes) 1544092518.688 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092518.688 * [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)))))))) 1544092518.688 * * * * [misc]progress: [ 41 / 301 ] simplifiying candidate # 1544092518.689 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092518.689 * * [misc]simplify: iters left: 6 (15 enodes) 1544092518.694 * * [misc]simplify: iters left: 5 (25 enodes) 1544092518.701 * * [misc]simplify: iters left: 4 (34 enodes) 1544092518.711 * * [misc]simplify: iters left: 3 (48 enodes) 1544092518.724 * * [misc]simplify: iters left: 2 (53 enodes) 1544092518.734 * * [misc]simplify: iters left: 1 (60 enodes) 1544092518.742 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092518.742 * [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))))))) 1544092518.742 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092518.742 * * [misc]simplify: iters left: 6 (15 enodes) 1544092518.744 * * [misc]simplify: iters left: 5 (26 enodes) 1544092518.748 * * [misc]simplify: iters left: 4 (42 enodes) 1544092518.754 * * [misc]simplify: iters left: 3 (78 enodes) 1544092518.764 * * [misc]simplify: iters left: 2 (126 enodes) 1544092518.795 * * [misc]simplify: iters left: 1 (179 enodes) 1544092518.848 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092518.848 * [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)))))) 1544092518.849 * * * * [misc]progress: [ 42 / 301 ] simplifiying candidate # 1544092518.849 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092518.849 * * [misc]simplify: iters left: 6 (15 enodes) 1544092518.854 * * [misc]simplify: iters left: 5 (25 enodes) 1544092518.860 * * [misc]simplify: iters left: 4 (34 enodes) 1544092518.870 * * [misc]simplify: iters left: 3 (48 enodes) 1544092518.882 * * [misc]simplify: iters left: 2 (53 enodes) 1544092518.894 * * [misc]simplify: iters left: 1 (60 enodes) 1544092518.909 * [exit]simplify: Simplified to (/ (* (sqrt PI) (sqrt (* n 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092518.909 * [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))))))) 1544092518.909 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092518.910 * * [misc]simplify: iters left: 6 (15 enodes) 1544092518.914 * * [misc]simplify: iters left: 5 (26 enodes) 1544092518.921 * * [misc]simplify: iters left: 4 (42 enodes) 1544092518.933 * * [misc]simplify: iters left: 3 (78 enodes) 1544092518.953 * * [misc]simplify: iters left: 2 (126 enodes) 1544092518.991 * * [misc]simplify: iters left: 1 (179 enodes) 1544092519.043 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092519.043 * [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)))))) 1544092519.043 * * * * [misc]progress: [ 43 / 301 ] simplifiying candidate # 1544092519.044 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092519.044 * * [misc]simplify: iters left: 6 (16 enodes) 1544092519.049 * * [misc]simplify: iters left: 5 (26 enodes) 1544092519.056 * * [misc]simplify: iters left: 4 (38 enodes) 1544092519.067 * * [misc]simplify: iters left: 3 (52 enodes) 1544092519.081 * * [misc]simplify: iters left: 2 (57 enodes) 1544092519.095 * * [misc]simplify: iters left: 1 (64 enodes) 1544092519.113 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092519.113 * [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))))))) 1544092519.113 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092519.113 * * [misc]simplify: iters left: 6 (15 enodes) 1544092519.118 * * [misc]simplify: iters left: 5 (26 enodes) 1544092519.126 * * [misc]simplify: iters left: 4 (43 enodes) 1544092519.139 * * [misc]simplify: iters left: 3 (79 enodes) 1544092519.160 * * [misc]simplify: iters left: 2 (127 enodes) 1544092519.196 * * [misc]simplify: iters left: 1 (180 enodes) 1544092519.249 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092519.249 * [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)))))) 1544092519.249 * * * * [misc]progress: [ 44 / 301 ] simplifiying candidate # 1544092519.249 * [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))))))) 1544092519.249 * * [misc]simplify: iters left: 6 (19 enodes) 1544092519.257 * * [misc]simplify: iters left: 5 (34 enodes) 1544092519.263 * * [misc]simplify: iters left: 4 (57 enodes) 1544092519.272 * * [misc]simplify: iters left: 3 (84 enodes) 1544092519.285 * * [misc]simplify: iters left: 2 (118 enodes) 1544092519.314 * * [misc]simplify: iters left: 1 (141 enodes) 1544092519.361 * [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)))))) 1544092519.361 * [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)))))))) 1544092519.362 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092519.362 * * [misc]simplify: iters left: 6 (18 enodes) 1544092519.367 * * [misc]simplify: iters left: 5 (30 enodes) 1544092519.376 * * [misc]simplify: iters left: 4 (47 enodes) 1544092519.389 * * [misc]simplify: iters left: 3 (83 enodes) 1544092519.410 * * [misc]simplify: iters left: 2 (131 enodes) 1544092519.446 * * [misc]simplify: iters left: 1 (184 enodes) 1544092519.504 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092519.504 * [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)))))) 1544092519.504 * * * * [misc]progress: [ 45 / 301 ] simplifiying candidate # 1544092519.504 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092519.504 * * [misc]simplify: iters left: 6 (18 enodes) 1544092519.510 * * [misc]simplify: iters left: 5 (29 enodes) 1544092519.519 * * [misc]simplify: iters left: 4 (41 enodes) 1544092519.530 * * [misc]simplify: iters left: 3 (55 enodes) 1544092519.545 * * [misc]simplify: iters left: 2 (60 enodes) 1544092519.560 * * [misc]simplify: iters left: 1 (67 enodes) 1544092519.577 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092519.577 * [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)))))))) 1544092519.577 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092519.577 * * [misc]simplify: iters left: 6 (18 enodes) 1544092519.583 * * [misc]simplify: iters left: 5 (30 enodes) 1544092519.592 * * [misc]simplify: iters left: 4 (47 enodes) 1544092519.605 * * [misc]simplify: iters left: 3 (83 enodes) 1544092519.626 * * [misc]simplify: iters left: 2 (131 enodes) 1544092519.665 * * [misc]simplify: iters left: 1 (184 enodes) 1544092519.718 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092519.718 * [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)))))) 1544092519.718 * * * * [misc]progress: [ 46 / 301 ] simplifiying candidate # 1544092519.718 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092519.718 * * [misc]simplify: iters left: 6 (12 enodes) 1544092519.722 * * [misc]simplify: iters left: 5 (22 enodes) 1544092519.726 * * [misc]simplify: iters left: 4 (35 enodes) 1544092519.731 * * [misc]simplify: iters left: 3 (57 enodes) 1544092519.739 * * [misc]simplify: iters left: 2 (124 enodes) 1544092519.793 * * [misc]simplify: iters left: 1 (186 enodes) 1544092519.808 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092519.808 * [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))))))) 1544092519.808 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092519.809 * * [misc]simplify: iters left: 6 (17 enodes) 1544092519.811 * * [misc]simplify: iters left: 5 (29 enodes) 1544092519.815 * * [misc]simplify: iters left: 4 (46 enodes) 1544092519.824 * * [misc]simplify: iters left: 3 (82 enodes) 1544092519.838 * * [misc]simplify: iters left: 2 (130 enodes) 1544092519.864 * * [misc]simplify: iters left: 1 (183 enodes) 1544092519.916 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (cbrt (sqrt k)))) 1544092519.916 * [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)))))) 1544092519.916 * * * * [misc]progress: [ 47 / 301 ] simplifiying candidate # 1544092519.917 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092519.917 * * [misc]simplify: iters left: 6 (14 enodes) 1544092519.921 * * [misc]simplify: iters left: 5 (22 enodes) 1544092519.927 * * [misc]simplify: iters left: 4 (27 enodes) 1544092519.934 * * [misc]simplify: iters left: 3 (31 enodes) 1544092519.941 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092519.941 * [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))))))) 1544092519.942 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092519.942 * * [misc]simplify: iters left: 6 (15 enodes) 1544092519.946 * * [misc]simplify: iters left: 5 (26 enodes) 1544092519.954 * * [misc]simplify: iters left: 4 (42 enodes) 1544092519.966 * * [misc]simplify: iters left: 3 (78 enodes) 1544092519.986 * * [misc]simplify: iters left: 2 (126 enodes) 1544092520.024 * * [misc]simplify: iters left: 1 (179 enodes) 1544092520.050 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.050 * [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)))))) 1544092520.050 * * * * [misc]progress: [ 48 / 301 ] simplifiying candidate # 1544092520.051 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092520.051 * * [misc]simplify: iters left: 6 (14 enodes) 1544092520.053 * * [misc]simplify: iters left: 5 (22 enodes) 1544092520.056 * * [misc]simplify: iters left: 4 (27 enodes) 1544092520.060 * * [misc]simplify: iters left: 3 (31 enodes) 1544092520.067 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092520.067 * [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))))))) 1544092520.068 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092520.068 * * [misc]simplify: iters left: 6 (15 enodes) 1544092520.073 * * [misc]simplify: iters left: 5 (26 enodes) 1544092520.081 * * [misc]simplify: iters left: 4 (42 enodes) 1544092520.093 * * [misc]simplify: iters left: 3 (78 enodes) 1544092520.116 * * [misc]simplify: iters left: 2 (126 enodes) 1544092520.149 * * [misc]simplify: iters left: 1 (179 enodes) 1544092520.193 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.193 * [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)))))) 1544092520.193 * * * * [misc]progress: [ 49 / 301 ] simplifiying candidate # 1544092520.193 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092520.193 * * [misc]simplify: iters left: 6 (15 enodes) 1544092520.198 * * [misc]simplify: iters left: 5 (23 enodes) 1544092520.202 * * [misc]simplify: iters left: 4 (31 enodes) 1544092520.206 * * [misc]simplify: iters left: 3 (35 enodes) 1544092520.210 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092520.210 * [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))))))) 1544092520.210 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092520.210 * * [misc]simplify: iters left: 6 (15 enodes) 1544092520.213 * * [misc]simplify: iters left: 5 (26 enodes) 1544092520.217 * * [misc]simplify: iters left: 4 (43 enodes) 1544092520.231 * * [misc]simplify: iters left: 3 (79 enodes) 1544092520.252 * * [misc]simplify: iters left: 2 (127 enodes) 1544092520.287 * * [misc]simplify: iters left: 1 (180 enodes) 1544092520.326 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.326 * [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)))))) 1544092520.326 * * * * [misc]progress: [ 50 / 301 ] simplifiying candidate # 1544092520.327 * [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))))))) 1544092520.327 * * [misc]simplify: iters left: 6 (18 enodes) 1544092520.330 * * [misc]simplify: iters left: 5 (29 enodes) 1544092520.334 * * [misc]simplify: iters left: 4 (39 enodes) 1544092520.344 * * [misc]simplify: iters left: 3 (50 enodes) 1544092520.360 * * [misc]simplify: iters left: 2 (58 enodes) 1544092520.367 * * [misc]simplify: iters left: 1 (60 enodes) 1544092520.376 * [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)))))) 1544092520.376 * [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)))))))) 1544092520.376 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092520.376 * * [misc]simplify: iters left: 6 (18 enodes) 1544092520.379 * * [misc]simplify: iters left: 5 (30 enodes) 1544092520.383 * * [misc]simplify: iters left: 4 (47 enodes) 1544092520.390 * * [misc]simplify: iters left: 3 (83 enodes) 1544092520.401 * * [misc]simplify: iters left: 2 (131 enodes) 1544092520.427 * * [misc]simplify: iters left: 1 (184 enodes) 1544092520.466 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.466 * [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)))))) 1544092520.466 * * * * [misc]progress: [ 51 / 301 ] simplifiying candidate # 1544092520.466 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092520.466 * * [misc]simplify: iters left: 6 (17 enodes) 1544092520.469 * * [misc]simplify: iters left: 5 (26 enodes) 1544092520.473 * * [misc]simplify: iters left: 4 (34 enodes) 1544092520.479 * * [misc]simplify: iters left: 3 (38 enodes) 1544092520.489 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt (sqrt k))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092520.489 * [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)))))))) 1544092520.489 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092520.489 * * [misc]simplify: iters left: 6 (18 enodes) 1544092520.495 * * [misc]simplify: iters left: 5 (30 enodes) 1544092520.504 * * [misc]simplify: iters left: 4 (47 enodes) 1544092520.515 * * [misc]simplify: iters left: 3 (83 enodes) 1544092520.525 * * [misc]simplify: iters left: 2 (131 enodes) 1544092520.551 * * [misc]simplify: iters left: 1 (184 enodes) 1544092520.586 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.586 * [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)))))) 1544092520.586 * * * * [misc]progress: [ 52 / 301 ] simplifiying candidate # 1544092520.586 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) 1)) 1544092520.586 * * [misc]simplify: iters left: 6 (11 enodes) 1544092520.588 * * [misc]simplify: iters left: 5 (19 enodes) 1544092520.591 * * [misc]simplify: iters left: 4 (28 enodes) 1544092520.594 * * [misc]simplify: iters left: 3 (32 enodes) 1544092520.600 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092520.600 * [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))))))) 1544092520.600 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092520.600 * * [misc]simplify: iters left: 6 (17 enodes) 1544092520.606 * * [misc]simplify: iters left: 5 (29 enodes) 1544092520.613 * * [misc]simplify: iters left: 4 (46 enodes) 1544092520.626 * * [misc]simplify: iters left: 3 (82 enodes) 1544092520.647 * * [misc]simplify: iters left: 2 (130 enodes) 1544092520.680 * * [misc]simplify: iters left: 1 (183 enodes) 1544092520.709 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092520.709 * [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)))))) 1544092520.709 * * * * [misc]progress: [ 53 / 301 ] simplifiying candidate # 1544092520.710 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544092520.710 * * [misc]simplify: iters left: 6 (12 enodes) 1544092520.714 * * [misc]simplify: iters left: 5 (22 enodes) 1544092520.719 * * [misc]simplify: iters left: 4 (26 enodes) 1544092520.726 * * [misc]simplify: iters left: 3 (37 enodes) 1544092520.734 * * [misc]simplify: iters left: 2 (42 enodes) 1544092520.739 * * [misc]simplify: iters left: 1 (51 enodes) 1544092520.745 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092520.745 * [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))))))) 1544092520.745 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092520.746 * * [misc]simplify: iters left: 6 (14 enodes) 1544092520.748 * * [misc]simplify: iters left: 5 (25 enodes) 1544092520.751 * * [misc]simplify: iters left: 4 (41 enodes) 1544092520.759 * * [misc]simplify: iters left: 3 (77 enodes) 1544092520.772 * * [misc]simplify: iters left: 2 (125 enodes) 1544092520.798 * * [misc]simplify: iters left: 1 (178 enodes) 1544092520.833 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092520.833 * [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))))) 1544092520.833 * * * * [misc]progress: [ 54 / 301 ] simplifiying candidate # 1544092520.834 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow (* n 2) 1/2))) 1544092520.834 * * [misc]simplify: iters left: 6 (12 enodes) 1544092520.836 * * [misc]simplify: iters left: 5 (22 enodes) 1544092520.838 * * [misc]simplify: iters left: 4 (26 enodes) 1544092520.843 * * [misc]simplify: iters left: 3 (37 enodes) 1544092520.847 * * [misc]simplify: iters left: 2 (42 enodes) 1544092520.854 * * [misc]simplify: iters left: 1 (51 enodes) 1544092520.860 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092520.860 * [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))))))) 1544092520.861 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092520.861 * * [misc]simplify: iters left: 6 (14 enodes) 1544092520.863 * * [misc]simplify: iters left: 5 (25 enodes) 1544092520.867 * * [misc]simplify: iters left: 4 (41 enodes) 1544092520.873 * * [misc]simplify: iters left: 3 (77 enodes) 1544092520.882 * * [misc]simplify: iters left: 2 (125 enodes) 1544092520.908 * * [misc]simplify: iters left: 1 (178 enodes) 1544092520.939 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092520.939 * [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))))) 1544092520.939 * * * * [misc]progress: [ 55 / 301 ] simplifiying candidate # 1544092520.939 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092520.939 * * [misc]simplify: iters left: 6 (14 enodes) 1544092520.941 * * [misc]simplify: iters left: 5 (24 enodes) 1544092520.945 * * [misc]simplify: iters left: 4 (31 enodes) 1544092520.949 * * [misc]simplify: iters left: 3 (42 enodes) 1544092520.955 * * [misc]simplify: iters left: 2 (47 enodes) 1544092520.961 * * [misc]simplify: iters left: 1 (57 enodes) 1544092520.968 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544092520.968 * [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))))))) 1544092520.968 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092520.968 * * [misc]simplify: iters left: 6 (14 enodes) 1544092520.970 * * [misc]simplify: iters left: 5 (25 enodes) 1544092520.974 * * [misc]simplify: iters left: 4 (42 enodes) 1544092520.980 * * [misc]simplify: iters left: 3 (78 enodes) 1544092520.990 * * [misc]simplify: iters left: 2 (126 enodes) 1544092521.008 * * [misc]simplify: iters left: 1 (179 enodes) 1544092521.042 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt k) (sqrt (pow PI k)))) 1544092521.042 * [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)))))) 1544092521.042 * * * * [misc]progress: [ 56 / 301 ] simplifiying candidate # 1544092521.043 * [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))))))) 1544092521.043 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.045 * * [misc]simplify: iters left: 5 (30 enodes) 1544092521.050 * * [misc]simplify: iters left: 4 (39 enodes) 1544092521.055 * * [misc]simplify: iters left: 3 (56 enodes) 1544092521.063 * * [misc]simplify: iters left: 2 (73 enodes) 1544092521.074 * * [misc]simplify: iters left: 1 (94 enodes) 1544092521.089 * [exit]simplify: Simplified to (* (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt PI)) 1544092521.089 * [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)))))))) 1544092521.089 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.089 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.093 * * [misc]simplify: iters left: 5 (29 enodes) 1544092521.098 * * [misc]simplify: iters left: 4 (46 enodes) 1544092521.108 * * [misc]simplify: iters left: 3 (82 enodes) 1544092521.118 * * [misc]simplify: iters left: 2 (130 enodes) 1544092521.138 * * [misc]simplify: iters left: 1 (183 enodes) 1544092521.191 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092521.191 * [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))))) 1544092521.191 * * * * [misc]progress: [ 57 / 301 ] simplifiying candidate # 1544092521.191 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.191 * * [misc]simplify: iters left: 6 (16 enodes) 1544092521.196 * * [misc]simplify: iters left: 5 (27 enodes) 1544092521.203 * * [misc]simplify: iters left: 4 (34 enodes) 1544092521.207 * * [misc]simplify: iters left: 3 (45 enodes) 1544092521.213 * * [misc]simplify: iters left: 2 (50 enodes) 1544092521.219 * * [misc]simplify: iters left: 1 (60 enodes) 1544092521.226 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092521.226 * [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)))))))) 1544092521.227 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.227 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.229 * * [misc]simplify: iters left: 5 (29 enodes) 1544092521.233 * * [misc]simplify: iters left: 4 (46 enodes) 1544092521.240 * * [misc]simplify: iters left: 3 (82 enodes) 1544092521.251 * * [misc]simplify: iters left: 2 (130 enodes) 1544092521.282 * * [misc]simplify: iters left: 1 (183 enodes) 1544092521.325 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092521.325 * [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))))) 1544092521.325 * * * * [misc]progress: [ 58 / 301 ] simplifiying candidate # 1544092521.325 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ 1 1)) 1544092521.325 * * [misc]simplify: iters left: 6 (8 enodes) 1544092521.326 * * [misc]simplify: iters left: 5 (14 enodes) 1544092521.328 * * [misc]simplify: iters left: 4 (16 enodes) 1544092521.330 * * [misc]simplify: iters left: 3 (18 enodes) 1544092521.332 * [exit]simplify: Simplified to (sqrt PI) 1544092521.332 * [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))))))) 1544092521.332 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092521.332 * * [misc]simplify: iters left: 6 (16 enodes) 1544092521.335 * * [misc]simplify: iters left: 5 (28 enodes) 1544092521.339 * * [misc]simplify: iters left: 4 (45 enodes) 1544092521.353 * * [misc]simplify: iters left: 3 (81 enodes) 1544092521.364 * * [misc]simplify: iters left: 2 (129 enodes) 1544092521.383 * * [misc]simplify: iters left: 1 (181 enodes) 1544092521.427 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092521.428 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092521.428 * * * * [misc]progress: [ 59 / 301 ] simplifiying candidate # 1544092521.428 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) 1) 1544092521.428 * * [misc]simplify: iters left: 6 (7 enodes) 1544092521.429 * * [misc]simplify: iters left: 5 (13 enodes) 1544092521.432 * * [misc]simplify: iters left: 4 (19 enodes) 1544092521.434 * [exit]simplify: Simplified to (sqrt PI) 1544092521.434 * [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))))))) 1544092521.434 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092521.434 * * [misc]simplify: iters left: 6 (16 enodes) 1544092521.437 * * [misc]simplify: iters left: 5 (28 enodes) 1544092521.441 * * [misc]simplify: iters left: 4 (45 enodes) 1544092521.448 * * [misc]simplify: iters left: 3 (81 enodes) 1544092521.468 * * [misc]simplify: iters left: 2 (129 enodes) 1544092521.492 * * [misc]simplify: iters left: 1 (181 enodes) 1544092521.526 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092521.526 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092521.526 * * * * [misc]progress: [ 60 / 301 ] simplifiying candidate # 1544092521.526 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (sqrt k)) 1544092521.526 * * [misc]simplify: iters left: 6 (8 enodes) 1544092521.527 * * [misc]simplify: iters left: 5 (12 enodes) 1544092521.529 * * [misc]simplify: iters left: 4 (14 enodes) 1544092521.531 * * [misc]simplify: iters left: 3 (16 enodes) 1544092521.533 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092521.533 * [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))))))) 1544092521.533 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092521.533 * * [misc]simplify: iters left: 6 (16 enodes) 1544092521.536 * * [misc]simplify: iters left: 5 (30 enodes) 1544092521.540 * * [misc]simplify: iters left: 4 (45 enodes) 1544092521.547 * * [misc]simplify: iters left: 3 (88 enodes) 1544092521.570 * * [misc]simplify: iters left: 2 (130 enodes) 1544092521.609 * * [misc]simplify: iters left: 1 (185 enodes) 1544092521.668 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)) 1544092521.668 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (pow (sqrt PI) k)))) 1544092521.668 * * * * [misc]progress: [ 61 / 301 ] simplifiying candidate # 1544092521.668 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092521.669 * * [misc]simplify: iters left: 6 (13 enodes) 1544092521.673 * * [misc]simplify: iters left: 5 (21 enodes) 1544092521.679 * * [misc]simplify: iters left: 4 (26 enodes) 1544092521.685 * * [misc]simplify: iters left: 3 (30 enodes) 1544092521.692 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (/ (sqrt PI) (sqrt k))) 1544092521.692 * [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))))) 1544092521.692 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092521.692 * * [misc]simplify: iters left: 6 (12 enodes) 1544092521.694 * * [misc]simplify: iters left: 5 (21 enodes) 1544092521.697 * * [misc]simplify: iters left: 4 (34 enodes) 1544092521.702 * * [misc]simplify: iters left: 3 (64 enodes) 1544092521.716 * * [misc]simplify: iters left: 2 (86 enodes) 1544092521.737 * * [misc]simplify: iters left: 1 (94 enodes) 1544092521.758 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544092521.758 * [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))))) 1544092521.758 * * * * [misc]progress: [ 62 / 301 ] simplifiying candidate # 1544092521.759 * [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))))))) 1544092521.759 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.764 * * [misc]simplify: iters left: 5 (25 enodes) 1544092521.772 * * [misc]simplify: iters left: 4 (29 enodes) 1544092521.780 * * [misc]simplify: iters left: 3 (32 enodes) 1544092521.789 * * [misc]simplify: iters left: 2 (33 enodes) 1544092521.798 * [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))))))) 1544092521.798 * [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)))))))) 1544092521.798 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.798 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.801 * * [misc]simplify: iters left: 5 (26 enodes) 1544092521.805 * * [misc]simplify: iters left: 4 (45 enodes) 1544092521.811 * * [misc]simplify: iters left: 3 (74 enodes) 1544092521.820 * * [misc]simplify: iters left: 2 (90 enodes) 1544092521.830 * * [misc]simplify: iters left: 1 (100 enodes) 1544092521.849 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092521.849 * [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)))))))) 1544092521.849 * * * * [misc]progress: [ 63 / 301 ] simplifiying candidate # 1544092521.849 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.849 * * [misc]simplify: iters left: 6 (16 enodes) 1544092521.853 * * [misc]simplify: iters left: 5 (22 enodes) 1544092521.856 * * [misc]simplify: iters left: 4 (26 enodes) 1544092521.860 * * [misc]simplify: iters left: 3 (29 enodes) 1544092521.864 * * [misc]simplify: iters left: 2 (30 enodes) 1544092521.868 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.868 * [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)))))))) 1544092521.868 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092521.868 * * [misc]simplify: iters left: 6 (17 enodes) 1544092521.871 * * [misc]simplify: iters left: 5 (26 enodes) 1544092521.874 * * [misc]simplify: iters left: 4 (45 enodes) 1544092521.881 * * [misc]simplify: iters left: 3 (74 enodes) 1544092521.890 * * [misc]simplify: iters left: 2 (90 enodes) 1544092521.899 * * [misc]simplify: iters left: 1 (100 enodes) 1544092521.910 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092521.910 * [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)))))))) 1544092521.910 * * * * [misc]progress: [ 64 / 301 ] simplifiying candidate # 1544092521.911 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092521.911 * * [misc]simplify: iters left: 6 (15 enodes) 1544092521.913 * * [misc]simplify: iters left: 5 (24 enodes) 1544092521.917 * * [misc]simplify: iters left: 4 (32 enodes) 1544092521.923 * * [misc]simplify: iters left: 3 (47 enodes) 1544092521.932 * * [misc]simplify: iters left: 2 (53 enodes) 1544092521.944 * * [misc]simplify: iters left: 1 (60 enodes) 1544092521.958 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544092521.958 * [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))))))) 1544092521.958 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092521.958 * * [misc]simplify: iters left: 6 (15 enodes) 1544092521.962 * * [misc]simplify: iters left: 5 (25 enodes) 1544092521.969 * * [misc]simplify: iters left: 4 (46 enodes) 1544092521.982 * * [misc]simplify: iters left: 3 (81 enodes) 1544092522.001 * * [misc]simplify: iters left: 2 (123 enodes) 1544092522.023 * * [misc]simplify: iters left: 1 (177 enodes) 1544092522.050 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.050 * [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)))))) 1544092522.050 * * * * [misc]progress: [ 65 / 301 ] simplifiying candidate # 1544092522.050 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092522.050 * * [misc]simplify: iters left: 6 (15 enodes) 1544092522.053 * * [misc]simplify: iters left: 5 (24 enodes) 1544092522.056 * * [misc]simplify: iters left: 4 (32 enodes) 1544092522.061 * * [misc]simplify: iters left: 3 (47 enodes) 1544092522.072 * * [misc]simplify: iters left: 2 (53 enodes) 1544092522.085 * * [misc]simplify: iters left: 1 (60 enodes) 1544092522.096 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544092522.096 * [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))))))) 1544092522.096 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092522.096 * * [misc]simplify: iters left: 6 (15 enodes) 1544092522.099 * * [misc]simplify: iters left: 5 (25 enodes) 1544092522.102 * * [misc]simplify: iters left: 4 (46 enodes) 1544092522.109 * * [misc]simplify: iters left: 3 (81 enodes) 1544092522.119 * * [misc]simplify: iters left: 2 (123 enodes) 1544092522.140 * * [misc]simplify: iters left: 1 (177 enodes) 1544092522.184 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.184 * [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)))))) 1544092522.184 * * * * [misc]progress: [ 66 / 301 ] simplifiying candidate # 1544092522.184 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092522.185 * * [misc]simplify: iters left: 6 (16 enodes) 1544092522.187 * * [misc]simplify: iters left: 5 (25 enodes) 1544092522.191 * * [misc]simplify: iters left: 4 (36 enodes) 1544092522.197 * * [misc]simplify: iters left: 3 (51 enodes) 1544092522.204 * * [misc]simplify: iters left: 2 (57 enodes) 1544092522.211 * * [misc]simplify: iters left: 1 (64 enodes) 1544092522.226 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1544092522.226 * [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))))))) 1544092522.226 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092522.226 * * [misc]simplify: iters left: 6 (15 enodes) 1544092522.231 * * [misc]simplify: iters left: 5 (25 enodes) 1544092522.239 * * [misc]simplify: iters left: 4 (47 enodes) 1544092522.253 * * [misc]simplify: iters left: 3 (82 enodes) 1544092522.273 * * [misc]simplify: iters left: 2 (124 enodes) 1544092522.305 * * [misc]simplify: iters left: 1 (178 enodes) 1544092522.333 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.333 * [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)))))) 1544092522.333 * * * * [misc]progress: [ 67 / 301 ] simplifiying candidate # 1544092522.334 * [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))))))) 1544092522.334 * * [misc]simplify: iters left: 6 (19 enodes) 1544092522.337 * * [misc]simplify: iters left: 5 (33 enodes) 1544092522.343 * * [misc]simplify: iters left: 4 (55 enodes) 1544092522.352 * * [misc]simplify: iters left: 3 (83 enodes) 1544092522.365 * * [misc]simplify: iters left: 2 (118 enodes) 1544092522.382 * * [misc]simplify: iters left: 1 (141 enodes) 1544092522.407 * [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)))))) 1544092522.407 * [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)))))))) 1544092522.407 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092522.407 * * [misc]simplify: iters left: 6 (18 enodes) 1544092522.410 * * [misc]simplify: iters left: 5 (29 enodes) 1544092522.417 * * [misc]simplify: iters left: 4 (51 enodes) 1544092522.431 * * [misc]simplify: iters left: 3 (86 enodes) 1544092522.453 * * [misc]simplify: iters left: 2 (128 enodes) 1544092522.472 * * [misc]simplify: iters left: 1 (183 enodes) 1544092522.511 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.511 * [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)))))) 1544092522.511 * * * * [misc]progress: [ 68 / 301 ] simplifiying candidate # 1544092522.511 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092522.511 * * [misc]simplify: iters left: 6 (18 enodes) 1544092522.518 * * [misc]simplify: iters left: 5 (28 enodes) 1544092522.526 * * [misc]simplify: iters left: 4 (39 enodes) 1544092522.538 * * [misc]simplify: iters left: 3 (54 enodes) 1544092522.550 * * [misc]simplify: iters left: 2 (60 enodes) 1544092522.558 * * [misc]simplify: iters left: 1 (67 enodes) 1544092522.567 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1544092522.567 * [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)))))))) 1544092522.567 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092522.567 * * [misc]simplify: iters left: 6 (18 enodes) 1544092522.573 * * [misc]simplify: iters left: 5 (29 enodes) 1544092522.581 * * [misc]simplify: iters left: 4 (51 enodes) 1544092522.596 * * [misc]simplify: iters left: 3 (86 enodes) 1544092522.615 * * [misc]simplify: iters left: 2 (128 enodes) 1544092522.634 * * [misc]simplify: iters left: 1 (183 enodes) 1544092522.669 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.669 * [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)))))) 1544092522.669 * * * * [misc]progress: [ 69 / 301 ] simplifiying candidate # 1544092522.669 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092522.669 * * [misc]simplify: iters left: 6 (12 enodes) 1544092522.672 * * [misc]simplify: iters left: 5 (21 enodes) 1544092522.675 * * [misc]simplify: iters left: 4 (33 enodes) 1544092522.680 * * [misc]simplify: iters left: 3 (56 enodes) 1544092522.690 * * [misc]simplify: iters left: 2 (119 enodes) 1544092522.734 * * [misc]simplify: iters left: 1 (173 enodes) 1544092522.748 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092522.748 * [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))))))) 1544092522.748 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092522.748 * * [misc]simplify: iters left: 6 (17 enodes) 1544092522.751 * * [misc]simplify: iters left: 5 (28 enodes) 1544092522.755 * * [misc]simplify: iters left: 4 (50 enodes) 1544092522.769 * * [misc]simplify: iters left: 3 (85 enodes) 1544092522.791 * * [misc]simplify: iters left: 2 (127 enodes) 1544092522.819 * * [misc]simplify: iters left: 1 (181 enodes) 1544092522.855 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.855 * [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)))))) 1544092522.855 * * * * [misc]progress: [ 70 / 301 ] simplifiying candidate # 1544092522.855 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092522.855 * * [misc]simplify: iters left: 6 (14 enodes) 1544092522.860 * * [misc]simplify: iters left: 5 (21 enodes) 1544092522.867 * * [misc]simplify: iters left: 4 (25 enodes) 1544092522.871 * * [misc]simplify: iters left: 3 (30 enodes) 1544092522.874 * * [misc]simplify: iters left: 2 (31 enodes) 1544092522.878 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092522.878 * [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))))))) 1544092522.878 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092522.878 * * [misc]simplify: iters left: 6 (15 enodes) 1544092522.881 * * [misc]simplify: iters left: 5 (25 enodes) 1544092522.884 * * [misc]simplify: iters left: 4 (46 enodes) 1544092522.891 * * [misc]simplify: iters left: 3 (81 enodes) 1544092522.901 * * [misc]simplify: iters left: 2 (123 enodes) 1544092522.927 * * [misc]simplify: iters left: 1 (177 enodes) 1544092522.969 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092522.969 * [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)))))) 1544092522.969 * * * * [misc]progress: [ 71 / 301 ] simplifiying candidate # 1544092522.969 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092522.969 * * [misc]simplify: iters left: 6 (14 enodes) 1544092522.972 * * [misc]simplify: iters left: 5 (21 enodes) 1544092522.975 * * [misc]simplify: iters left: 4 (25 enodes) 1544092522.978 * * [misc]simplify: iters left: 3 (30 enodes) 1544092522.982 * * [misc]simplify: iters left: 2 (31 enodes) 1544092522.986 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092522.986 * [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))))))) 1544092522.987 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092522.987 * * [misc]simplify: iters left: 6 (15 enodes) 1544092522.991 * * [misc]simplify: iters left: 5 (25 enodes) 1544092522.999 * * [misc]simplify: iters left: 4 (46 enodes) 1544092523.010 * * [misc]simplify: iters left: 3 (81 enodes) 1544092523.022 * * [misc]simplify: iters left: 2 (123 enodes) 1544092523.040 * * [misc]simplify: iters left: 1 (177 enodes) 1544092523.090 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092523.090 * [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)))))) 1544092523.090 * * * * [misc]progress: [ 72 / 301 ] simplifiying candidate # 1544092523.090 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092523.090 * * [misc]simplify: iters left: 6 (15 enodes) 1544092523.096 * * [misc]simplify: iters left: 5 (22 enodes) 1544092523.103 * * [misc]simplify: iters left: 4 (29 enodes) 1544092523.111 * * [misc]simplify: iters left: 3 (34 enodes) 1544092523.119 * * [misc]simplify: iters left: 2 (35 enodes) 1544092523.126 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092523.126 * [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))))))) 1544092523.126 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092523.126 * * [misc]simplify: iters left: 6 (15 enodes) 1544092523.128 * * [misc]simplify: iters left: 5 (25 enodes) 1544092523.132 * * [misc]simplify: iters left: 4 (47 enodes) 1544092523.141 * * [misc]simplify: iters left: 3 (82 enodes) 1544092523.151 * * [misc]simplify: iters left: 2 (124 enodes) 1544092523.168 * * [misc]simplify: iters left: 1 (178 enodes) 1544092523.212 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092523.212 * [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)))))) 1544092523.212 * * * * [misc]progress: [ 73 / 301 ] simplifiying candidate # 1544092523.212 * [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))))))) 1544092523.213 * * [misc]simplify: iters left: 6 (18 enodes) 1544092523.218 * * [misc]simplify: iters left: 5 (28 enodes) 1544092523.227 * * [misc]simplify: iters left: 4 (37 enodes) 1544092523.236 * * [misc]simplify: iters left: 3 (49 enodes) 1544092523.252 * * [misc]simplify: iters left: 2 (58 enodes) 1544092523.265 * * [misc]simplify: iters left: 1 (60 enodes) 1544092523.281 * [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))) 1544092523.281 * [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)))))))) 1544092523.281 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092523.281 * * [misc]simplify: iters left: 6 (18 enodes) 1544092523.287 * * [misc]simplify: iters left: 5 (29 enodes) 1544092523.296 * * [misc]simplify: iters left: 4 (51 enodes) 1544092523.310 * * [misc]simplify: iters left: 3 (86 enodes) 1544092523.322 * * [misc]simplify: iters left: 2 (128 enodes) 1544092523.340 * * [misc]simplify: iters left: 1 (183 enodes) 1544092523.385 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092523.385 * [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)))))) 1544092523.385 * * * * [misc]progress: [ 74 / 301 ] simplifiying candidate # 1544092523.385 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092523.385 * * [misc]simplify: iters left: 6 (17 enodes) 1544092523.389 * * [misc]simplify: iters left: 5 (25 enodes) 1544092523.392 * * [misc]simplify: iters left: 4 (32 enodes) 1544092523.397 * * [misc]simplify: iters left: 3 (37 enodes) 1544092523.402 * * [misc]simplify: iters left: 2 (38 enodes) 1544092523.407 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092523.407 * [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)))))))) 1544092523.407 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092523.407 * * [misc]simplify: iters left: 6 (18 enodes) 1544092523.410 * * [misc]simplify: iters left: 5 (29 enodes) 1544092523.417 * * [misc]simplify: iters left: 4 (51 enodes) 1544092523.432 * * [misc]simplify: iters left: 3 (86 enodes) 1544092523.454 * * [misc]simplify: iters left: 2 (128 enodes) 1544092523.491 * * [misc]simplify: iters left: 1 (183 enodes) 1544092523.523 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092523.523 * [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)))))) 1544092523.523 * * * * [misc]progress: [ 75 / 301 ] simplifiying candidate # 1544092523.524 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1544092523.524 * * [misc]simplify: iters left: 6 (11 enodes) 1544092523.526 * * [misc]simplify: iters left: 5 (18 enodes) 1544092523.529 * * [misc]simplify: iters left: 4 (26 enodes) 1544092523.532 * * [misc]simplify: iters left: 3 (31 enodes) 1544092523.535 * * [misc]simplify: iters left: 2 (32 enodes) 1544092523.538 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092523.538 * [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))))))) 1544092523.538 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092523.538 * * [misc]simplify: iters left: 6 (17 enodes) 1544092523.543 * * [misc]simplify: iters left: 5 (28 enodes) 1544092523.551 * * [misc]simplify: iters left: 4 (50 enodes) 1544092523.566 * * [misc]simplify: iters left: 3 (85 enodes) 1544092523.582 * * [misc]simplify: iters left: 2 (127 enodes) 1544092523.599 * * [misc]simplify: iters left: 1 (181 enodes) 1544092523.629 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092523.629 * [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)))))) 1544092523.630 * * * * [misc]progress: [ 76 / 301 ] simplifiying candidate # 1544092523.630 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544092523.630 * * [misc]simplify: iters left: 6 (12 enodes) 1544092523.633 * * [misc]simplify: iters left: 5 (21 enodes) 1544092523.637 * * [misc]simplify: iters left: 4 (24 enodes) 1544092523.644 * * [misc]simplify: iters left: 3 (36 enodes) 1544092523.654 * * [misc]simplify: iters left: 2 (42 enodes) 1544092523.664 * * [misc]simplify: iters left: 1 (51 enodes) 1544092523.674 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092523.674 * [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))))))) 1544092523.674 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092523.674 * * [misc]simplify: iters left: 6 (14 enodes) 1544092523.678 * * [misc]simplify: iters left: 5 (24 enodes) 1544092523.682 * * [misc]simplify: iters left: 4 (45 enodes) 1544092523.688 * * [misc]simplify: iters left: 3 (80 enodes) 1544092523.699 * * [misc]simplify: iters left: 2 (122 enodes) 1544092523.733 * * [misc]simplify: iters left: 1 (177 enodes) 1544092523.786 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544092523.786 * [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))))) 1544092523.786 * * * * [misc]progress: [ 77 / 301 ] simplifiying candidate # 1544092523.786 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544092523.786 * * [misc]simplify: iters left: 6 (12 enodes) 1544092523.791 * * [misc]simplify: iters left: 5 (21 enodes) 1544092523.797 * * [misc]simplify: iters left: 4 (24 enodes) 1544092523.805 * * [misc]simplify: iters left: 3 (36 enodes) 1544092523.810 * * [misc]simplify: iters left: 2 (42 enodes) 1544092523.816 * * [misc]simplify: iters left: 1 (51 enodes) 1544092523.822 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092523.822 * [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))))))) 1544092523.822 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092523.822 * * [misc]simplify: iters left: 6 (14 enodes) 1544092523.824 * * [misc]simplify: iters left: 5 (24 enodes) 1544092523.828 * * [misc]simplify: iters left: 4 (45 enodes) 1544092523.837 * * [misc]simplify: iters left: 3 (80 enodes) 1544092523.853 * * [misc]simplify: iters left: 2 (122 enodes) 1544092523.870 * * [misc]simplify: iters left: 1 (177 enodes) 1544092523.916 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544092523.916 * [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))))) 1544092523.916 * * * * [misc]progress: [ 78 / 301 ] simplifiying candidate # 1544092523.916 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092523.916 * * [misc]simplify: iters left: 6 (14 enodes) 1544092523.919 * * [misc]simplify: iters left: 5 (23 enodes) 1544092523.922 * * [misc]simplify: iters left: 4 (29 enodes) 1544092523.926 * * [misc]simplify: iters left: 3 (41 enodes) 1544092523.932 * * [misc]simplify: iters left: 2 (47 enodes) 1544092523.938 * * [misc]simplify: iters left: 1 (57 enodes) 1544092523.950 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544092523.950 * [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))))))) 1544092523.950 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092523.951 * * [misc]simplify: iters left: 6 (14 enodes) 1544092523.955 * * [misc]simplify: iters left: 5 (24 enodes) 1544092523.963 * * [misc]simplify: iters left: 4 (46 enodes) 1544092523.976 * * [misc]simplify: iters left: 3 (81 enodes) 1544092523.986 * * [misc]simplify: iters left: 2 (123 enodes) 1544092524.008 * * [misc]simplify: iters left: 1 (178 enodes) 1544092524.060 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092524.060 * [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))))) 1544092524.060 * * * * [misc]progress: [ 79 / 301 ] simplifiying candidate # 1544092524.060 * [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))))))) 1544092524.060 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.066 * * [misc]simplify: iters left: 5 (29 enodes) 1544092524.075 * * [misc]simplify: iters left: 4 (37 enodes) 1544092524.086 * * [misc]simplify: iters left: 3 (55 enodes) 1544092524.095 * * [misc]simplify: iters left: 2 (74 enodes) 1544092524.105 * * [misc]simplify: iters left: 1 (95 enodes) 1544092524.134 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1544092524.134 * [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)))))))) 1544092524.135 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.135 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.139 * * [misc]simplify: iters left: 5 (28 enodes) 1544092524.147 * * [misc]simplify: iters left: 4 (50 enodes) 1544092524.160 * * [misc]simplify: iters left: 3 (85 enodes) 1544092524.179 * * [misc]simplify: iters left: 2 (127 enodes) 1544092524.211 * * [misc]simplify: iters left: 1 (181 enodes) 1544092524.261 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092524.261 * [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))))) 1544092524.261 * * * * [misc]progress: [ 80 / 301 ] simplifiying candidate # 1544092524.262 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.262 * * [misc]simplify: iters left: 6 (16 enodes) 1544092524.267 * * [misc]simplify: iters left: 5 (26 enodes) 1544092524.273 * * [misc]simplify: iters left: 4 (32 enodes) 1544092524.278 * * [misc]simplify: iters left: 3 (44 enodes) 1544092524.284 * * [misc]simplify: iters left: 2 (50 enodes) 1544092524.290 * * [misc]simplify: iters left: 1 (60 enodes) 1544092524.298 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092524.298 * [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)))))))) 1544092524.299 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.299 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.303 * * [misc]simplify: iters left: 5 (28 enodes) 1544092524.312 * * [misc]simplify: iters left: 4 (50 enodes) 1544092524.321 * * [misc]simplify: iters left: 3 (85 enodes) 1544092524.332 * * [misc]simplify: iters left: 2 (127 enodes) 1544092524.358 * * [misc]simplify: iters left: 1 (181 enodes) 1544092524.406 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092524.406 * [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))))) 1544092524.406 * * * * [misc]progress: [ 81 / 301 ] simplifiying candidate # 1544092524.406 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1544092524.406 * * [misc]simplify: iters left: 6 (8 enodes) 1544092524.409 * * [misc]simplify: iters left: 5 (13 enodes) 1544092524.413 * * [misc]simplify: iters left: 4 (14 enodes) 1544092524.416 * * [misc]simplify: iters left: 3 (17 enodes) 1544092524.421 * * [misc]simplify: iters left: 2 (18 enodes) 1544092524.425 * * [misc]simplify: iters left: 1 (20 enodes) 1544092524.428 * [exit]simplify: Simplified to (sqrt PI) 1544092524.428 * [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))))))) 1544092524.429 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092524.429 * * [misc]simplify: iters left: 6 (16 enodes) 1544092524.433 * * [misc]simplify: iters left: 5 (27 enodes) 1544092524.441 * * [misc]simplify: iters left: 4 (49 enodes) 1544092524.453 * * [misc]simplify: iters left: 3 (84 enodes) 1544092524.472 * * [misc]simplify: iters left: 2 (126 enodes) 1544092524.507 * * [misc]simplify: iters left: 1 (181 enodes) 1544092524.555 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092524.555 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092524.555 * * * * [misc]progress: [ 82 / 301 ] simplifiying candidate # 1544092524.556 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1544092524.556 * * [misc]simplify: iters left: 6 (7 enodes) 1544092524.558 * * [misc]simplify: iters left: 5 (12 enodes) 1544092524.562 * * [misc]simplify: iters left: 4 (17 enodes) 1544092524.566 * * [misc]simplify: iters left: 3 (19 enodes) 1544092524.569 * [exit]simplify: Simplified to (sqrt PI) 1544092524.569 * [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))))))) 1544092524.569 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092524.569 * * [misc]simplify: iters left: 6 (16 enodes) 1544092524.574 * * [misc]simplify: iters left: 5 (27 enodes) 1544092524.578 * * [misc]simplify: iters left: 4 (49 enodes) 1544092524.586 * * [misc]simplify: iters left: 3 (84 enodes) 1544092524.598 * * [misc]simplify: iters left: 2 (126 enodes) 1544092524.628 * * [misc]simplify: iters left: 1 (181 enodes) 1544092524.658 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092524.658 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092524.658 * * * * [misc]progress: [ 83 / 301 ] simplifiying candidate # 1544092524.658 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1544092524.658 * * [misc]simplify: iters left: 6 (8 enodes) 1544092524.660 * * [misc]simplify: iters left: 5 (11 enodes) 1544092524.662 * * [misc]simplify: iters left: 4 (12 enodes) 1544092524.663 * * [misc]simplify: iters left: 3 (15 enodes) 1544092524.668 * * [misc]simplify: iters left: 2 (16 enodes) 1544092524.672 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092524.672 * [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))))))) 1544092524.672 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092524.672 * * [misc]simplify: iters left: 6 (16 enodes) 1544092524.677 * * [misc]simplify: iters left: 5 (29 enodes) 1544092524.686 * * [misc]simplify: iters left: 4 (49 enodes) 1544092524.694 * * [misc]simplify: iters left: 3 (91 enodes) 1544092524.708 * * [misc]simplify: iters left: 2 (126 enodes) 1544092524.734 * * [misc]simplify: iters left: 1 (183 enodes) 1544092524.770 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1544092524.770 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1544092524.770 * * * * [misc]progress: [ 84 / 301 ] simplifiying candidate # 1544092524.770 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092524.770 * * [misc]simplify: iters left: 6 (13 enodes) 1544092524.773 * * [misc]simplify: iters left: 5 (20 enodes) 1544092524.776 * * [misc]simplify: iters left: 4 (24 enodes) 1544092524.783 * * [misc]simplify: iters left: 3 (29 enodes) 1544092524.791 * * [misc]simplify: iters left: 2 (30 enodes) 1544092524.801 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544092524.801 * [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))))) 1544092524.801 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1544092524.801 * * [misc]simplify: iters left: 6 (12 enodes) 1544092524.805 * * [misc]simplify: iters left: 5 (20 enodes) 1544092524.811 * * [misc]simplify: iters left: 4 (38 enodes) 1544092524.822 * * [misc]simplify: iters left: 3 (67 enodes) 1544092524.834 * * [misc]simplify: iters left: 2 (83 enodes) 1544092524.843 * * [misc]simplify: iters left: 1 (93 enodes) 1544092524.858 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544092524.858 * [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))))) 1544092524.858 * * * * [misc]progress: [ 85 / 301 ] simplifiying candidate # 1544092524.859 * [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))))))) 1544092524.859 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.864 * * [misc]simplify: iters left: 5 (25 enodes) 1544092524.872 * * [misc]simplify: iters left: 4 (29 enodes) 1544092524.880 * * [misc]simplify: iters left: 3 (32 enodes) 1544092524.888 * * [misc]simplify: iters left: 2 (33 enodes) 1544092524.897 * [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))))))) 1544092524.897 * [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)))))))) 1544092524.897 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.898 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.903 * * [misc]simplify: iters left: 5 (26 enodes) 1544092524.910 * * [misc]simplify: iters left: 4 (45 enodes) 1544092524.923 * * [misc]simplify: iters left: 3 (74 enodes) 1544092524.941 * * [misc]simplify: iters left: 2 (90 enodes) 1544092524.950 * * [misc]simplify: iters left: 1 (100 enodes) 1544092524.961 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092524.961 * [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)))))))) 1544092524.961 * * * * [misc]progress: [ 86 / 301 ] simplifiying candidate # 1544092524.962 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.962 * * [misc]simplify: iters left: 6 (16 enodes) 1544092524.965 * * [misc]simplify: iters left: 5 (22 enodes) 1544092524.969 * * [misc]simplify: iters left: 4 (26 enodes) 1544092524.977 * * [misc]simplify: iters left: 3 (29 enodes) 1544092524.984 * * [misc]simplify: iters left: 2 (30 enodes) 1544092524.992 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.992 * [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)))))))) 1544092524.992 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092524.992 * * [misc]simplify: iters left: 6 (17 enodes) 1544092524.997 * * [misc]simplify: iters left: 5 (26 enodes) 1544092525.004 * * [misc]simplify: iters left: 4 (45 enodes) 1544092525.016 * * [misc]simplify: iters left: 3 (74 enodes) 1544092525.033 * * [misc]simplify: iters left: 2 (90 enodes) 1544092525.049 * * [misc]simplify: iters left: 1 (100 enodes) 1544092525.061 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092525.061 * [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)))))))) 1544092525.061 * * * * [misc]progress: [ 87 / 301 ] simplifiying candidate # 1544092525.061 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092525.061 * * [misc]simplify: iters left: 6 (15 enodes) 1544092525.064 * * [misc]simplify: iters left: 5 (24 enodes) 1544092525.068 * * [misc]simplify: iters left: 4 (32 enodes) 1544092525.074 * * [misc]simplify: iters left: 3 (47 enodes) 1544092525.088 * * [misc]simplify: iters left: 2 (53 enodes) 1544092525.102 * * [misc]simplify: iters left: 1 (60 enodes) 1544092525.115 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544092525.115 * [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))))))) 1544092525.115 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092525.115 * * [misc]simplify: iters left: 6 (15 enodes) 1544092525.117 * * [misc]simplify: iters left: 5 (25 enodes) 1544092525.121 * * [misc]simplify: iters left: 4 (46 enodes) 1544092525.128 * * [misc]simplify: iters left: 3 (81 enodes) 1544092525.138 * * [misc]simplify: iters left: 2 (123 enodes) 1544092525.172 * * [misc]simplify: iters left: 1 (177 enodes) 1544092525.222 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092525.222 * [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)))))) 1544092525.222 * * * * [misc]progress: [ 88 / 301 ] simplifiying candidate # 1544092525.223 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092525.223 * * [misc]simplify: iters left: 6 (15 enodes) 1544092525.226 * * [misc]simplify: iters left: 5 (24 enodes) 1544092525.230 * * [misc]simplify: iters left: 4 (32 enodes) 1544092525.235 * * [misc]simplify: iters left: 3 (47 enodes) 1544092525.242 * * [misc]simplify: iters left: 2 (53 enodes) 1544092525.248 * * [misc]simplify: iters left: 1 (60 enodes) 1544092525.260 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (sqrt (* n 2)))) 1544092525.260 * [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))))))) 1544092525.261 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092525.261 * * [misc]simplify: iters left: 6 (15 enodes) 1544092525.266 * * [misc]simplify: iters left: 5 (25 enodes) 1544092525.269 * * [misc]simplify: iters left: 4 (46 enodes) 1544092525.276 * * [misc]simplify: iters left: 3 (81 enodes) 1544092525.286 * * [misc]simplify: iters left: 2 (123 enodes) 1544092525.315 * * [misc]simplify: iters left: 1 (177 enodes) 1544092525.345 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092525.345 * [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)))))) 1544092525.345 * * * * [misc]progress: [ 89 / 301 ] simplifiying candidate # 1544092525.345 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092525.345 * * [misc]simplify: iters left: 6 (16 enodes) 1544092525.348 * * [misc]simplify: iters left: 5 (25 enodes) 1544092525.355 * * [misc]simplify: iters left: 4 (36 enodes) 1544092525.367 * * [misc]simplify: iters left: 3 (51 enodes) 1544092525.381 * * [misc]simplify: iters left: 2 (57 enodes) 1544092525.395 * * [misc]simplify: iters left: 1 (64 enodes) 1544092525.412 * [exit]simplify: Simplified to (/ (/ (pow n (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (sqrt PI))) (cbrt (sqrt k))) 1544092525.412 * [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))))))) 1544092525.412 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092525.412 * * [misc]simplify: iters left: 6 (15 enodes) 1544092525.417 * * [misc]simplify: iters left: 5 (25 enodes) 1544092525.425 * * [misc]simplify: iters left: 4 (47 enodes) 1544092525.438 * * [misc]simplify: iters left: 3 (82 enodes) 1544092525.457 * * [misc]simplify: iters left: 2 (124 enodes) 1544092525.475 * * [misc]simplify: iters left: 1 (178 enodes) 1544092525.510 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092525.511 * [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)))))) 1544092525.511 * * * * [misc]progress: [ 90 / 301 ] simplifiying candidate # 1544092525.511 * [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))))))) 1544092525.511 * * [misc]simplify: iters left: 6 (19 enodes) 1544092525.514 * * [misc]simplify: iters left: 5 (33 enodes) 1544092525.520 * * [misc]simplify: iters left: 4 (55 enodes) 1544092525.529 * * [misc]simplify: iters left: 3 (83 enodes) 1544092525.555 * * [misc]simplify: iters left: 2 (118 enodes) 1544092525.591 * * [misc]simplify: iters left: 1 (141 enodes) 1544092525.639 * [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)))))) 1544092525.639 * [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)))))))) 1544092525.639 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092525.639 * * [misc]simplify: iters left: 6 (18 enodes) 1544092525.645 * * [misc]simplify: iters left: 5 (29 enodes) 1544092525.653 * * [misc]simplify: iters left: 4 (51 enodes) 1544092525.668 * * [misc]simplify: iters left: 3 (86 enodes) 1544092525.683 * * [misc]simplify: iters left: 2 (128 enodes) 1544092525.701 * * [misc]simplify: iters left: 1 (183 enodes) 1544092525.742 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092525.742 * [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)))))) 1544092525.742 * * * * [misc]progress: [ 91 / 301 ] simplifiying candidate # 1544092525.742 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092525.742 * * [misc]simplify: iters left: 6 (18 enodes) 1544092525.746 * * [misc]simplify: iters left: 5 (28 enodes) 1544092525.750 * * [misc]simplify: iters left: 4 (39 enodes) 1544092525.756 * * [misc]simplify: iters left: 3 (54 enodes) 1544092525.769 * * [misc]simplify: iters left: 2 (60 enodes) 1544092525.784 * * [misc]simplify: iters left: 1 (67 enodes) 1544092525.801 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt PI)) (cbrt (sqrt k)))) 1544092525.801 * [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)))))))) 1544092525.801 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092525.801 * * [misc]simplify: iters left: 6 (18 enodes) 1544092525.806 * * [misc]simplify: iters left: 5 (29 enodes) 1544092525.815 * * [misc]simplify: iters left: 4 (51 enodes) 1544092525.832 * * [misc]simplify: iters left: 3 (86 enodes) 1544092525.854 * * [misc]simplify: iters left: 2 (128 enodes) 1544092525.888 * * [misc]simplify: iters left: 1 (183 enodes) 1544092525.917 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092525.917 * [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)))))) 1544092525.917 * * * * [misc]progress: [ 92 / 301 ] simplifiying candidate # 1544092525.918 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092525.918 * * [misc]simplify: iters left: 6 (12 enodes) 1544092525.923 * * [misc]simplify: iters left: 5 (21 enodes) 1544092525.930 * * [misc]simplify: iters left: 4 (33 enodes) 1544092525.940 * * [misc]simplify: iters left: 3 (56 enodes) 1544092525.958 * * [misc]simplify: iters left: 2 (119 enodes) 1544092525.990 * * [misc]simplify: iters left: 1 (173 enodes) 1544092526.018 * [exit]simplify: Simplified to (/ (/ (sqrt PI) (cbrt (sqrt k))) (cbrt (sqrt k))) 1544092526.018 * [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))))))) 1544092526.019 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092526.019 * * [misc]simplify: iters left: 6 (17 enodes) 1544092526.022 * * [misc]simplify: iters left: 5 (28 enodes) 1544092526.026 * * [misc]simplify: iters left: 4 (50 enodes) 1544092526.033 * * [misc]simplify: iters left: 3 (85 enodes) 1544092526.046 * * [misc]simplify: iters left: 2 (127 enodes) 1544092526.067 * * [misc]simplify: iters left: 1 (181 enodes) 1544092526.101 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.101 * [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)))))) 1544092526.101 * * * * [misc]progress: [ 93 / 301 ] simplifiying candidate # 1544092526.101 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092526.101 * * [misc]simplify: iters left: 6 (14 enodes) 1544092526.104 * * [misc]simplify: iters left: 5 (21 enodes) 1544092526.107 * * [misc]simplify: iters left: 4 (25 enodes) 1544092526.110 * * [misc]simplify: iters left: 3 (30 enodes) 1544092526.114 * * [misc]simplify: iters left: 2 (31 enodes) 1544092526.118 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092526.118 * [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))))))) 1544092526.118 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092526.118 * * [misc]simplify: iters left: 6 (15 enodes) 1544092526.120 * * [misc]simplify: iters left: 5 (25 enodes) 1544092526.124 * * [misc]simplify: iters left: 4 (46 enodes) 1544092526.134 * * [misc]simplify: iters left: 3 (81 enodes) 1544092526.154 * * [misc]simplify: iters left: 2 (123 enodes) 1544092526.178 * * [misc]simplify: iters left: 1 (177 enodes) 1544092526.211 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.211 * [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)))))) 1544092526.211 * * * * [misc]progress: [ 94 / 301 ] simplifiying candidate # 1544092526.211 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092526.211 * * [misc]simplify: iters left: 6 (14 enodes) 1544092526.216 * * [misc]simplify: iters left: 5 (21 enodes) 1544092526.222 * * [misc]simplify: iters left: 4 (25 enodes) 1544092526.229 * * [misc]simplify: iters left: 3 (30 enodes) 1544092526.237 * * [misc]simplify: iters left: 2 (31 enodes) 1544092526.245 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092526.245 * [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))))))) 1544092526.245 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092526.245 * * [misc]simplify: iters left: 6 (15 enodes) 1544092526.252 * * [misc]simplify: iters left: 5 (25 enodes) 1544092526.260 * * [misc]simplify: iters left: 4 (46 enodes) 1544092526.274 * * [misc]simplify: iters left: 3 (81 enodes) 1544092526.289 * * [misc]simplify: iters left: 2 (123 enodes) 1544092526.306 * * [misc]simplify: iters left: 1 (177 enodes) 1544092526.349 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.349 * [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)))))) 1544092526.349 * * * * [misc]progress: [ 95 / 301 ] simplifiying candidate # 1544092526.350 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092526.350 * * [misc]simplify: iters left: 6 (15 enodes) 1544092526.355 * * [misc]simplify: iters left: 5 (22 enodes) 1544092526.363 * * [misc]simplify: iters left: 4 (29 enodes) 1544092526.371 * * [misc]simplify: iters left: 3 (34 enodes) 1544092526.380 * * [misc]simplify: iters left: 2 (35 enodes) 1544092526.388 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092526.388 * [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))))))) 1544092526.388 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092526.389 * * [misc]simplify: iters left: 6 (15 enodes) 1544092526.393 * * [misc]simplify: iters left: 5 (25 enodes) 1544092526.400 * * [misc]simplify: iters left: 4 (47 enodes) 1544092526.415 * * [misc]simplify: iters left: 3 (82 enodes) 1544092526.432 * * [misc]simplify: iters left: 2 (124 enodes) 1544092526.449 * * [misc]simplify: iters left: 1 (178 enodes) 1544092526.489 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.489 * [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)))))) 1544092526.489 * * * * [misc]progress: [ 96 / 301 ] simplifiying candidate # 1544092526.489 * [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))))))) 1544092526.489 * * [misc]simplify: iters left: 6 (18 enodes) 1544092526.492 * * [misc]simplify: iters left: 5 (28 enodes) 1544092526.497 * * [misc]simplify: iters left: 4 (37 enodes) 1544092526.503 * * [misc]simplify: iters left: 3 (49 enodes) 1544092526.510 * * [misc]simplify: iters left: 2 (58 enodes) 1544092526.518 * * [misc]simplify: iters left: 1 (60 enodes) 1544092526.526 * [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))) 1544092526.526 * [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)))))))) 1544092526.526 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092526.526 * * [misc]simplify: iters left: 6 (18 enodes) 1544092526.531 * * [misc]simplify: iters left: 5 (29 enodes) 1544092526.539 * * [misc]simplify: iters left: 4 (51 enodes) 1544092526.546 * * [misc]simplify: iters left: 3 (86 enodes) 1544092526.557 * * [misc]simplify: iters left: 2 (128 enodes) 1544092526.577 * * [misc]simplify: iters left: 1 (183 enodes) 1544092526.603 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.603 * [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)))))) 1544092526.603 * * * * [misc]progress: [ 97 / 301 ] simplifiying candidate # 1544092526.604 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092526.604 * * [misc]simplify: iters left: 6 (17 enodes) 1544092526.607 * * [misc]simplify: iters left: 5 (25 enodes) 1544092526.611 * * [misc]simplify: iters left: 4 (32 enodes) 1544092526.619 * * [misc]simplify: iters left: 3 (37 enodes) 1544092526.629 * * [misc]simplify: iters left: 2 (38 enodes) 1544092526.639 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092526.639 * [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)))))))) 1544092526.640 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092526.640 * * [misc]simplify: iters left: 6 (18 enodes) 1544092526.646 * * [misc]simplify: iters left: 5 (29 enodes) 1544092526.655 * * [misc]simplify: iters left: 4 (51 enodes) 1544092526.673 * * [misc]simplify: iters left: 3 (86 enodes) 1544092526.695 * * [misc]simplify: iters left: 2 (128 enodes) 1544092526.730 * * [misc]simplify: iters left: 1 (183 enodes) 1544092526.781 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.781 * [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)))))) 1544092526.781 * * * * [misc]progress: [ 98 / 301 ] simplifiying candidate # 1544092526.781 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) 1)) 1544092526.781 * * [misc]simplify: iters left: 6 (11 enodes) 1544092526.783 * * [misc]simplify: iters left: 5 (18 enodes) 1544092526.786 * * [misc]simplify: iters left: 4 (26 enodes) 1544092526.790 * * [misc]simplify: iters left: 3 (31 enodes) 1544092526.793 * * [misc]simplify: iters left: 2 (32 enodes) 1544092526.798 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt (sqrt k))) 1544092526.798 * [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))))))) 1544092526.798 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092526.798 * * [misc]simplify: iters left: 6 (17 enodes) 1544092526.803 * * [misc]simplify: iters left: 5 (28 enodes) 1544092526.811 * * [misc]simplify: iters left: 4 (50 enodes) 1544092526.825 * * [misc]simplify: iters left: 3 (85 enodes) 1544092526.846 * * [misc]simplify: iters left: 2 (127 enodes) 1544092526.880 * * [misc]simplify: iters left: 1 (181 enodes) 1544092526.908 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092526.908 * [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)))))) 1544092526.908 * * * * [misc]progress: [ 99 / 301 ] simplifiying candidate # 1544092526.908 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544092526.908 * * [misc]simplify: iters left: 6 (12 enodes) 1544092526.911 * * [misc]simplify: iters left: 5 (21 enodes) 1544092526.914 * * [misc]simplify: iters left: 4 (24 enodes) 1544092526.921 * * [misc]simplify: iters left: 3 (36 enodes) 1544092526.930 * * [misc]simplify: iters left: 2 (42 enodes) 1544092526.941 * * [misc]simplify: iters left: 1 (51 enodes) 1544092526.952 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092526.952 * [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))))))) 1544092526.953 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092526.953 * * [misc]simplify: iters left: 6 (14 enodes) 1544092526.957 * * [misc]simplify: iters left: 5 (24 enodes) 1544092526.964 * * [misc]simplify: iters left: 4 (45 enodes) 1544092526.977 * * [misc]simplify: iters left: 3 (80 enodes) 1544092526.998 * * [misc]simplify: iters left: 2 (122 enodes) 1544092527.029 * * [misc]simplify: iters left: 1 (177 enodes) 1544092527.083 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.084 * [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))))) 1544092527.084 * * * * [misc]progress: [ 100 / 301 ] simplifiying candidate # 1544092527.084 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow (* n 2) 1/2))) 1544092527.084 * * [misc]simplify: iters left: 6 (12 enodes) 1544092527.089 * * [misc]simplify: iters left: 5 (21 enodes) 1544092527.095 * * [misc]simplify: iters left: 4 (24 enodes) 1544092527.102 * * [misc]simplify: iters left: 3 (36 enodes) 1544092527.112 * * [misc]simplify: iters left: 2 (42 enodes) 1544092527.119 * * [misc]simplify: iters left: 1 (51 enodes) 1544092527.125 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (* 2 n))) 1544092527.125 * [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))))))) 1544092527.125 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092527.125 * * [misc]simplify: iters left: 6 (14 enodes) 1544092527.127 * * [misc]simplify: iters left: 5 (24 enodes) 1544092527.131 * * [misc]simplify: iters left: 4 (45 enodes) 1544092527.138 * * [misc]simplify: iters left: 3 (80 enodes) 1544092527.152 * * [misc]simplify: iters left: 2 (122 enodes) 1544092527.188 * * [misc]simplify: iters left: 1 (177 enodes) 1544092527.220 * [exit]simplify: Simplified to (/ (pow (* 2 n) (/ (- k) 2)) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.220 * [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))))) 1544092527.220 * * * * [misc]progress: [ 101 / 301 ] simplifiying candidate # 1544092527.220 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092527.220 * * [misc]simplify: iters left: 6 (14 enodes) 1544092527.222 * * [misc]simplify: iters left: 5 (23 enodes) 1544092527.226 * * [misc]simplify: iters left: 4 (29 enodes) 1544092527.233 * * [misc]simplify: iters left: 3 (41 enodes) 1544092527.243 * * [misc]simplify: iters left: 2 (47 enodes) 1544092527.254 * * [misc]simplify: iters left: 1 (57 enodes) 1544092527.268 * [exit]simplify: Simplified to (* (sqrt PI) (pow n (- 1/2 (/ k 2)))) 1544092527.268 * [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))))))) 1544092527.268 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092527.268 * * [misc]simplify: iters left: 6 (14 enodes) 1544092527.273 * * [misc]simplify: iters left: 5 (24 enodes) 1544092527.281 * * [misc]simplify: iters left: 4 (46 enodes) 1544092527.294 * * [misc]simplify: iters left: 3 (81 enodes) 1544092527.304 * * [misc]simplify: iters left: 2 (123 enodes) 1544092527.323 * * [misc]simplify: iters left: 1 (178 enodes) 1544092527.349 * [exit]simplify: Simplified to (/ (pow 2 (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.349 * [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))))) 1544092527.349 * * * * [misc]progress: [ 102 / 301 ] simplifiying candidate # 1544092527.350 * [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))))))) 1544092527.350 * * [misc]simplify: iters left: 6 (17 enodes) 1544092527.353 * * [misc]simplify: iters left: 5 (29 enodes) 1544092527.360 * * [misc]simplify: iters left: 4 (37 enodes) 1544092527.371 * * [misc]simplify: iters left: 3 (55 enodes) 1544092527.390 * * [misc]simplify: iters left: 2 (74 enodes) 1544092527.411 * * [misc]simplify: iters left: 1 (95 enodes) 1544092527.441 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (sqrt PI))) 1544092527.441 * [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)))))))) 1544092527.442 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092527.442 * * [misc]simplify: iters left: 6 (17 enodes) 1544092527.447 * * [misc]simplify: iters left: 5 (28 enodes) 1544092527.454 * * [misc]simplify: iters left: 4 (50 enodes) 1544092527.466 * * [misc]simplify: iters left: 3 (85 enodes) 1544092527.487 * * [misc]simplify: iters left: 2 (127 enodes) 1544092527.524 * * [misc]simplify: iters left: 1 (181 enodes) 1544092527.564 * [exit]simplify: Simplified to (/ (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.565 * [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))))) 1544092527.565 * * * * [misc]progress: [ 103 / 301 ] simplifiying candidate # 1544092527.565 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092527.565 * * [misc]simplify: iters left: 6 (16 enodes) 1544092527.568 * * [misc]simplify: iters left: 5 (26 enodes) 1544092527.572 * * [misc]simplify: iters left: 4 (32 enodes) 1544092527.577 * * [misc]simplify: iters left: 3 (44 enodes) 1544092527.587 * * [misc]simplify: iters left: 2 (50 enodes) 1544092527.599 * * [misc]simplify: iters left: 1 (60 enodes) 1544092527.614 * [exit]simplify: Simplified to (* (sqrt PI) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092527.614 * [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)))))))) 1544092527.615 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092527.615 * * [misc]simplify: iters left: 6 (17 enodes) 1544092527.620 * * [misc]simplify: iters left: 5 (28 enodes) 1544092527.629 * * [misc]simplify: iters left: 4 (50 enodes) 1544092527.646 * * [misc]simplify: iters left: 3 (85 enodes) 1544092527.666 * * [misc]simplify: iters left: 2 (127 enodes) 1544092527.684 * * [misc]simplify: iters left: 1 (181 enodes) 1544092527.730 * [exit]simplify: Simplified to (/ (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.730 * [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))))) 1544092527.730 * * * * [misc]progress: [ 104 / 301 ] simplifiying candidate # 1544092527.731 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ 1 1)) 1544092527.731 * * [misc]simplify: iters left: 6 (8 enodes) 1544092527.734 * * [misc]simplify: iters left: 5 (13 enodes) 1544092527.738 * * [misc]simplify: iters left: 4 (14 enodes) 1544092527.741 * * [misc]simplify: iters left: 3 (17 enodes) 1544092527.746 * * [misc]simplify: iters left: 2 (18 enodes) 1544092527.750 * * [misc]simplify: iters left: 1 (20 enodes) 1544092527.754 * [exit]simplify: Simplified to (sqrt PI) 1544092527.754 * [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))))))) 1544092527.754 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092527.754 * * [misc]simplify: iters left: 6 (16 enodes) 1544092527.759 * * [misc]simplify: iters left: 5 (27 enodes) 1544092527.770 * * [misc]simplify: iters left: 4 (49 enodes) 1544092527.784 * * [misc]simplify: iters left: 3 (84 enodes) 1544092527.804 * * [misc]simplify: iters left: 2 (126 enodes) 1544092527.821 * * [misc]simplify: iters left: 1 (181 enodes) 1544092527.864 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092527.864 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092527.864 * * * * [misc]progress: [ 105 / 301 ] simplifiying candidate # 1544092527.864 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) 1) 1544092527.865 * * [misc]simplify: iters left: 6 (7 enodes) 1544092527.867 * * [misc]simplify: iters left: 5 (12 enodes) 1544092527.871 * * [misc]simplify: iters left: 4 (17 enodes) 1544092527.876 * * [misc]simplify: iters left: 3 (19 enodes) 1544092527.880 * [exit]simplify: Simplified to (sqrt PI) 1544092527.880 * [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))))))) 1544092527.880 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092527.880 * * [misc]simplify: iters left: 6 (16 enodes) 1544092527.888 * * [misc]simplify: iters left: 5 (27 enodes) 1544092527.896 * * [misc]simplify: iters left: 4 (49 enodes) 1544092527.910 * * [misc]simplify: iters left: 3 (84 enodes) 1544092527.932 * * [misc]simplify: iters left: 2 (126 enodes) 1544092527.966 * * [misc]simplify: iters left: 1 (181 enodes) 1544092528.018 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))) 1544092528.018 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt PI) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (* (sqrt (pow PI k)) (sqrt k))))) 1544092528.018 * * * * [misc]progress: [ 106 / 301 ] simplifiying candidate # 1544092528.018 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (sqrt k)) 1544092528.018 * * [misc]simplify: iters left: 6 (8 enodes) 1544092528.021 * * [misc]simplify: iters left: 5 (11 enodes) 1544092528.025 * * [misc]simplify: iters left: 4 (12 enodes) 1544092528.031 * * [misc]simplify: iters left: 3 (15 enodes) 1544092528.035 * * [misc]simplify: iters left: 2 (16 enodes) 1544092528.039 * [exit]simplify: Simplified to (/ (sqrt PI) (sqrt k)) 1544092528.039 * [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))))))) 1544092528.040 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092528.040 * * [misc]simplify: iters left: 6 (16 enodes) 1544092528.045 * * [misc]simplify: iters left: 5 (29 enodes) 1544092528.053 * * [misc]simplify: iters left: 4 (49 enodes) 1544092528.068 * * [misc]simplify: iters left: 3 (91 enodes) 1544092528.092 * * [misc]simplify: iters left: 2 (126 enodes) 1544092528.123 * * [misc]simplify: iters left: 1 (183 enodes) 1544092528.182 * [exit]simplify: Simplified to (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))) 1544092528.182 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (sqrt PI) (sqrt k)) (/ (pow (* 2 n) (- 1/2 (/ k 2))) (sqrt (pow PI k))))) 1544092528.182 * * * * [misc]progress: [ 107 / 301 ] simplifiying candidate # 1544092528.183 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092528.183 * * [misc]simplify: iters left: 6 (13 enodes) 1544092528.187 * * [misc]simplify: iters left: 5 (20 enodes) 1544092528.193 * * [misc]simplify: iters left: 4 (24 enodes) 1544092528.200 * * [misc]simplify: iters left: 3 (29 enodes) 1544092528.207 * * [misc]simplify: iters left: 2 (30 enodes) 1544092528.214 * [exit]simplify: Simplified to (* (/ (sqrt PI) (sqrt k)) (sqrt (* n 2))) 1544092528.214 * [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))))) 1544092528.215 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (pow (* n 2) (/ k 2))) 1544092528.215 * * [misc]simplify: iters left: 6 (12 enodes) 1544092528.218 * * [misc]simplify: iters left: 5 (20 enodes) 1544092528.224 * * [misc]simplify: iters left: 4 (38 enodes) 1544092528.235 * * [misc]simplify: iters left: 3 (67 enodes) 1544092528.251 * * [misc]simplify: iters left: 2 (83 enodes) 1544092528.266 * * [misc]simplify: iters left: 1 (93 enodes) 1544092528.277 * [exit]simplify: Simplified to (/ (pow (/ 1 PI) (/ k 2)) (pow (* n 2) (/ k 2))) 1544092528.277 * [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))))) 1544092528.277 * * * * [misc]progress: [ 108 / 301 ] simplifiying candidate # 1544092528.277 * [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))))))) 1544092528.277 * * [misc]simplify: iters left: 6 (19 enodes) 1544092528.280 * * [misc]simplify: iters left: 5 (32 enodes) 1544092528.285 * * [misc]simplify: iters left: 4 (50 enodes) 1544092528.297 * * [misc]simplify: iters left: 3 (71 enodes) 1544092528.313 * * [misc]simplify: iters left: 2 (115 enodes) 1544092528.329 * * [misc]simplify: iters left: 1 (155 enodes) 1544092528.354 * [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))))))) 1544092528.354 * [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)))))))) 1544092528.354 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092528.354 * * [misc]simplify: iters left: 6 (17 enodes) 1544092528.357 * * [misc]simplify: iters left: 5 (24 enodes) 1544092528.360 * * [misc]simplify: iters left: 4 (33 enodes) 1544092528.365 * * [misc]simplify: iters left: 3 (51 enodes) 1544092528.373 * * [misc]simplify: iters left: 2 (92 enodes) 1544092528.394 * * [misc]simplify: iters left: 1 (132 enodes) 1544092528.423 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092528.423 * [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)))))))) 1544092528.423 * * * * [misc]progress: [ 109 / 301 ] simplifiying candidate # 1544092528.423 * [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)))))) 1544092528.423 * * [misc]simplify: iters left: 6 (18 enodes) 1544092528.428 * * [misc]simplify: iters left: 5 (27 enodes) 1544092528.432 * * [misc]simplify: iters left: 4 (38 enodes) 1544092528.438 * * [misc]simplify: iters left: 3 (57 enodes) 1544092528.447 * * [misc]simplify: iters left: 2 (98 enodes) 1544092528.467 * * [misc]simplify: iters left: 1 (138 enodes) 1544092528.490 * [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)))))) 1544092528.490 * [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)))))))) 1544092528.491 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092528.491 * * [misc]simplify: iters left: 6 (17 enodes) 1544092528.493 * * [misc]simplify: iters left: 5 (24 enodes) 1544092528.498 * * [misc]simplify: iters left: 4 (33 enodes) 1544092528.503 * * [misc]simplify: iters left: 3 (51 enodes) 1544092528.510 * * [misc]simplify: iters left: 2 (92 enodes) 1544092528.535 * * [misc]simplify: iters left: 1 (132 enodes) 1544092528.563 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092528.564 * [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)))))))) 1544092528.564 * * * * [misc]progress: [ 110 / 301 ] simplifiying candidate # 1544092528.564 * [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))) 1544092528.564 * * [misc]simplify: iters left: 6 (19 enodes) 1544092528.570 * * [misc]simplify: iters left: 5 (33 enodes) 1544092528.580 * * [misc]simplify: iters left: 4 (57 enodes) 1544092528.594 * * [misc]simplify: iters left: 3 (116 enodes) 1544092528.617 * * [misc]simplify: iters left: 2 (210 enodes) 1544092528.688 * * [misc]simplify: iters left: 1 (279 enodes) 1544092528.747 * [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)))))) 1544092528.747 * [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))))))) 1544092528.748 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092528.748 * * [misc]simplify: iters left: 6 (18 enodes) 1544092528.753 * * [misc]simplify: iters left: 5 (28 enodes) 1544092528.761 * * [misc]simplify: iters left: 4 (38 enodes) 1544092528.772 * * [misc]simplify: iters left: 3 (58 enodes) 1544092528.786 * * [misc]simplify: iters left: 2 (99 enodes) 1544092528.801 * * [misc]simplify: iters left: 1 (139 enodes) 1544092528.820 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092528.820 * [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)))))) 1544092528.820 * * * * [misc]progress: [ 111 / 301 ] simplifiying candidate # 1544092528.820 * [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))) 1544092528.821 * * [misc]simplify: iters left: 6 (19 enodes) 1544092528.829 * * [misc]simplify: iters left: 5 (33 enodes) 1544092528.838 * * [misc]simplify: iters left: 4 (57 enodes) 1544092528.854 * * [misc]simplify: iters left: 3 (116 enodes) 1544092528.875 * * [misc]simplify: iters left: 2 (210 enodes) 1544092528.912 * * [misc]simplify: iters left: 1 (279 enodes) 1544092528.954 * [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)))))) 1544092528.954 * [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))))))) 1544092528.954 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092528.954 * * [misc]simplify: iters left: 6 (18 enodes) 1544092528.957 * * [misc]simplify: iters left: 5 (28 enodes) 1544092528.961 * * [misc]simplify: iters left: 4 (38 enodes) 1544092528.966 * * [misc]simplify: iters left: 3 (58 enodes) 1544092528.978 * * [misc]simplify: iters left: 2 (99 enodes) 1544092529.007 * * [misc]simplify: iters left: 1 (139 enodes) 1544092529.026 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092529.026 * [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)))))) 1544092529.026 * * * * [misc]progress: [ 112 / 301 ] simplifiying candidate # 1544092529.026 * [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))))) 1544092529.026 * * [misc]simplify: iters left: 6 (18 enodes) 1544092529.029 * * [misc]simplify: iters left: 5 (30 enodes) 1544092529.034 * * [misc]simplify: iters left: 4 (54 enodes) 1544092529.043 * * [misc]simplify: iters left: 3 (113 enodes) 1544092529.075 * * [misc]simplify: iters left: 2 (209 enodes) 1544092529.138 * * [misc]simplify: iters left: 1 (278 enodes) 1544092529.205 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092529.205 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1544092529.205 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092529.205 * * [misc]simplify: iters left: 6 (15 enodes) 1544092529.210 * * [misc]simplify: iters left: 5 (23 enodes) 1544092529.217 * * [misc]simplify: iters left: 4 (35 enodes) 1544092529.228 * * [misc]simplify: iters left: 3 (55 enodes) 1544092529.243 * * [misc]simplify: iters left: 2 (96 enodes) 1544092529.270 * * [misc]simplify: iters left: 1 (136 enodes) 1544092529.285 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092529.285 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2)))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1544092529.285 * * * * [misc]progress: [ 113 / 301 ] simplifiying candidate # 1544092529.285 * [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))))))) 1544092529.285 * * [misc]simplify: iters left: 6 (21 enodes) 1544092529.288 * * [misc]simplify: iters left: 5 (38 enodes) 1544092529.294 * * [misc]simplify: iters left: 4 (78 enodes) 1544092529.324 * * [misc]simplify: iters left: 3 (167 enodes) 1544092529.394 * * [misc]simplify: iters left: 2 (334 enodes) 1544092529.547 * * [misc]simplify: iters left: 1 (485 enodes) 1544092529.771 * [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)))))) 1544092529.771 * [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)))))))) 1544092529.771 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092529.771 * * [misc]simplify: iters left: 6 (18 enodes) 1544092529.777 * * [misc]simplify: iters left: 5 (27 enodes) 1544092529.785 * * [misc]simplify: iters left: 4 (39 enodes) 1544092529.796 * * [misc]simplify: iters left: 3 (59 enodes) 1544092529.812 * * [misc]simplify: iters left: 2 (100 enodes) 1544092529.839 * * [misc]simplify: iters left: 1 (140 enodes) 1544092529.871 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092529.871 * [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))))) 1544092529.872 * * * * [misc]progress: [ 114 / 301 ] simplifiying candidate # 1544092529.872 * [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)))))) 1544092529.872 * * [misc]simplify: iters left: 6 (20 enodes) 1544092529.879 * * [misc]simplify: iters left: 5 (33 enodes) 1544092529.889 * * [misc]simplify: iters left: 4 (57 enodes) 1544092529.907 * * [misc]simplify: iters left: 3 (116 enodes) 1544092529.948 * * [misc]simplify: iters left: 2 (212 enodes) 1544092530.022 * * [misc]simplify: iters left: 1 (281 enodes) 1544092530.106 * [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)))))) 1544092530.106 * [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)))))))) 1544092530.106 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092530.106 * * [misc]simplify: iters left: 6 (18 enodes) 1544092530.112 * * [misc]simplify: iters left: 5 (27 enodes) 1544092530.119 * * [misc]simplify: iters left: 4 (39 enodes) 1544092530.133 * * [misc]simplify: iters left: 3 (59 enodes) 1544092530.149 * * [misc]simplify: iters left: 2 (100 enodes) 1544092530.176 * * [misc]simplify: iters left: 1 (140 enodes) 1544092530.206 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092530.207 * [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))))) 1544092530.207 * * * * [misc]progress: [ 115 / 301 ] simplifiying candidate # 1544092530.207 * [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)) 1544092530.207 * * [misc]simplify: iters left: 6 (17 enodes) 1544092530.213 * * [misc]simplify: iters left: 5 (31 enodes) 1544092530.223 * * [misc]simplify: iters left: 4 (58 enodes) 1544092530.236 * * [misc]simplify: iters left: 3 (100 enodes) 1544092530.252 * * [misc]simplify: iters left: 2 (209 enodes) 1544092530.321 * * [misc]simplify: iters left: 1 (326 enodes) 1544092530.375 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (sqrt k)))) 1544092530.375 * [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))))))) 1544092530.376 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092530.376 * * [misc]simplify: iters left: 6 (17 enodes) 1544092530.381 * * [misc]simplify: iters left: 5 (26 enodes) 1544092530.389 * * [misc]simplify: iters left: 4 (38 enodes) 1544092530.399 * * [misc]simplify: iters left: 3 (58 enodes) 1544092530.415 * * [misc]simplify: iters left: 2 (99 enodes) 1544092530.431 * * [misc]simplify: iters left: 1 (139 enodes) 1544092530.447 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092530.447 * [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))))))) 1544092530.448 * * * * [misc]progress: [ 116 / 301 ] simplifiying candidate # 1544092530.448 * [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))) 1544092530.448 * * [misc]simplify: iters left: 6 (18 enodes) 1544092530.451 * * [misc]simplify: iters left: 5 (30 enodes) 1544092530.455 * * [misc]simplify: iters left: 4 (46 enodes) 1544092530.462 * * [misc]simplify: iters left: 3 (76 enodes) 1544092530.473 * * [misc]simplify: iters left: 2 (129 enodes) 1544092530.491 * * [misc]simplify: iters left: 1 (175 enodes) 1544092530.523 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092530.523 * [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))))))) 1544092530.523 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092530.523 * * [misc]simplify: iters left: 6 (18 enodes) 1544092530.531 * * [misc]simplify: iters left: 5 (28 enodes) 1544092530.539 * * [misc]simplify: iters left: 4 (38 enodes) 1544092530.550 * * [misc]simplify: iters left: 3 (58 enodes) 1544092530.559 * * [misc]simplify: iters left: 2 (99 enodes) 1544092530.573 * * [misc]simplify: iters left: 1 (139 enodes) 1544092530.588 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092530.588 * [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)))))) 1544092530.588 * * * * [misc]progress: [ 117 / 301 ] simplifiying candidate # 1544092530.589 * [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))) 1544092530.589 * * [misc]simplify: iters left: 6 (18 enodes) 1544092530.594 * * [misc]simplify: iters left: 5 (30 enodes) 1544092530.603 * * [misc]simplify: iters left: 4 (46 enodes) 1544092530.616 * * [misc]simplify: iters left: 3 (76 enodes) 1544092530.638 * * [misc]simplify: iters left: 2 (129 enodes) 1544092530.676 * * [misc]simplify: iters left: 1 (175 enodes) 1544092530.704 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092530.704 * [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))))))) 1544092530.705 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092530.705 * * [misc]simplify: iters left: 6 (18 enodes) 1544092530.707 * * [misc]simplify: iters left: 5 (28 enodes) 1544092530.711 * * [misc]simplify: iters left: 4 (38 enodes) 1544092530.717 * * [misc]simplify: iters left: 3 (58 enodes) 1544092530.730 * * [misc]simplify: iters left: 2 (99 enodes) 1544092530.756 * * [misc]simplify: iters left: 1 (139 enodes) 1544092530.778 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092530.779 * [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)))))) 1544092530.779 * * * * [misc]progress: [ 118 / 301 ] simplifiying candidate # 1544092530.779 * [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))))) 1544092530.779 * * [misc]simplify: iters left: 6 (17 enodes) 1544092530.782 * * [misc]simplify: iters left: 5 (27 enodes) 1544092530.786 * * [misc]simplify: iters left: 4 (43 enodes) 1544092530.797 * * [misc]simplify: iters left: 3 (73 enodes) 1544092530.819 * * [misc]simplify: iters left: 2 (126 enodes) 1544092530.854 * * [misc]simplify: iters left: 1 (172 enodes) 1544092530.896 * [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)))))) 1544092530.896 * [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))))))) 1544092530.897 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092530.897 * * [misc]simplify: iters left: 6 (15 enodes) 1544092530.902 * * [misc]simplify: iters left: 5 (23 enodes) 1544092530.908 * * [misc]simplify: iters left: 4 (35 enodes) 1544092530.919 * * [misc]simplify: iters left: 3 (55 enodes) 1544092530.933 * * [misc]simplify: iters left: 2 (96 enodes) 1544092530.946 * * [misc]simplify: iters left: 1 (136 enodes) 1544092530.961 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092530.961 * [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))))))) 1544092530.961 * * * * [misc]progress: [ 119 / 301 ] simplifiying candidate # 1544092530.962 * [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))))))) 1544092530.965 * * [misc]simplify: iters left: 6 (20 enodes) 1544092530.971 * * [misc]simplify: iters left: 5 (33 enodes) 1544092530.981 * * [misc]simplify: iters left: 4 (53 enodes) 1544092530.998 * * [misc]simplify: iters left: 3 (97 enodes) 1544092531.018 * * [misc]simplify: iters left: 2 (177 enodes) 1544092531.048 * * [misc]simplify: iters left: 1 (248 enodes) 1544092531.084 * [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))) 1544092531.084 * [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)))))))) 1544092531.085 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092531.085 * * [misc]simplify: iters left: 6 (18 enodes) 1544092531.088 * * [misc]simplify: iters left: 5 (27 enodes) 1544092531.095 * * [misc]simplify: iters left: 4 (39 enodes) 1544092531.107 * * [misc]simplify: iters left: 3 (59 enodes) 1544092531.123 * * [misc]simplify: iters left: 2 (100 enodes) 1544092531.149 * * [misc]simplify: iters left: 1 (140 enodes) 1544092531.178 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092531.178 * [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))))) 1544092531.178 * * * * [misc]progress: [ 120 / 301 ] simplifiying candidate # 1544092531.179 * [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)))))) 1544092531.179 * * [misc]simplify: iters left: 6 (19 enodes) 1544092531.184 * * [misc]simplify: iters left: 5 (30 enodes) 1544092531.192 * * [misc]simplify: iters left: 4 (46 enodes) 1544092531.206 * * [misc]simplify: iters left: 3 (76 enodes) 1544092531.228 * * [misc]simplify: iters left: 2 (129 enodes) 1544092531.254 * * [misc]simplify: iters left: 1 (175 enodes) 1544092531.274 * [exit]simplify: Simplified to (* (/ (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)))))) 1544092531.274 * [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)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544092531.274 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092531.275 * * [misc]simplify: iters left: 6 (18 enodes) 1544092531.277 * * [misc]simplify: iters left: 5 (27 enodes) 1544092531.283 * * [misc]simplify: iters left: 4 (39 enodes) 1544092531.294 * * [misc]simplify: iters left: 3 (59 enodes) 1544092531.310 * * [misc]simplify: iters left: 2 (100 enodes) 1544092531.338 * * [misc]simplify: iters left: 1 (140 enodes) 1544092531.367 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092531.367 * [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)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))))) (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))))) 1544092531.367 * * * * [misc]progress: [ 121 / 301 ] simplifiying candidate # 1544092531.367 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) 1)) 1544092531.367 * * [misc]simplify: iters left: 6 (16 enodes) 1544092531.373 * * [misc]simplify: iters left: 5 (28 enodes) 1544092531.381 * * [misc]simplify: iters left: 4 (45 enodes) 1544092531.393 * * [misc]simplify: iters left: 3 (74 enodes) 1544092531.413 * * [misc]simplify: iters left: 2 (115 enodes) 1544092531.440 * * [misc]simplify: iters left: 1 (159 enodes) 1544092531.475 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092531.475 * [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 (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092531.475 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092531.476 * * [misc]simplify: iters left: 6 (17 enodes) 1544092531.481 * * [misc]simplify: iters left: 5 (26 enodes) 1544092531.488 * * [misc]simplify: iters left: 4 (38 enodes) 1544092531.499 * * [misc]simplify: iters left: 3 (58 enodes) 1544092531.515 * * [misc]simplify: iters left: 2 (99 enodes) 1544092531.541 * * [misc]simplify: iters left: 1 (139 enodes) 1544092531.563 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092531.563 * [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 (* 2 n) (- 1/2 (/ k 2))))))) 1544092531.563 * * * * [misc]progress: [ 122 / 301 ] simplifiying candidate # 1544092531.564 * [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))) 1544092531.564 * * [misc]simplify: iters left: 6 (17 enodes) 1544092531.566 * * [misc]simplify: iters left: 5 (31 enodes) 1544092531.571 * * [misc]simplify: iters left: 4 (47 enodes) 1544092531.578 * * [misc]simplify: iters left: 3 (80 enodes) 1544092531.598 * * [misc]simplify: iters left: 2 (143 enodes) 1544092531.621 * * [misc]simplify: iters left: 1 (242 enodes) 1544092531.675 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092531.675 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 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) (- (/ k 2))))))) 1544092531.675 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092531.676 * * [misc]simplify: iters left: 6 (17 enodes) 1544092531.680 * * [misc]simplify: iters left: 5 (27 enodes) 1544092531.684 * * [misc]simplify: iters left: 4 (37 enodes) 1544092531.689 * * [misc]simplify: iters left: 3 (57 enodes) 1544092531.697 * * [misc]simplify: iters left: 2 (98 enodes) 1544092531.715 * * [misc]simplify: iters left: 1 (138 enodes) 1544092531.744 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544092531.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 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) (/ (- k) 2)))))) 1544092531.744 * * * * [misc]progress: [ 123 / 301 ] simplifiying candidate # 1544092531.744 * [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))) 1544092531.744 * * [misc]simplify: iters left: 6 (17 enodes) 1544092531.750 * * [misc]simplify: iters left: 5 (31 enodes) 1544092531.758 * * [misc]simplify: iters left: 4 (47 enodes) 1544092531.770 * * [misc]simplify: iters left: 3 (80 enodes) 1544092531.784 * * [misc]simplify: iters left: 2 (143 enodes) 1544092531.824 * * [misc]simplify: iters left: 1 (242 enodes) 1544092531.875 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092531.875 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (sqrt (* 2 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) (- (/ k 2))))))) 1544092531.875 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092531.875 * * [misc]simplify: iters left: 6 (17 enodes) 1544092531.880 * * [misc]simplify: iters left: 5 (27 enodes) 1544092531.889 * * [misc]simplify: iters left: 4 (37 enodes) 1544092531.900 * * [misc]simplify: iters left: 3 (57 enodes) 1544092531.915 * * [misc]simplify: iters left: 2 (98 enodes) 1544092531.940 * * [misc]simplify: iters left: 1 (138 enodes) 1544092531.970 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544092531.970 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (sqrt (* 2 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) (/ (- k) 2)))))) 1544092531.971 * * * * [misc]progress: [ 124 / 301 ] simplifiying candidate # 1544092531.972 * [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))))) 1544092531.972 * * [misc]simplify: iters left: 6 (16 enodes) 1544092531.977 * * [misc]simplify: iters left: 5 (28 enodes) 1544092531.986 * * [misc]simplify: iters left: 4 (44 enodes) 1544092531.998 * * [misc]simplify: iters left: 3 (77 enodes) 1544092532.010 * * [misc]simplify: iters left: 2 (165 enodes) 1544092532.063 * * [misc]simplify: iters left: 1 (333 enodes) 1544092532.200 * [exit]simplify: Simplified to (* (pow n (- 1/2 (/ k 2))) (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2)))))) 1544092532.201 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (pow n (- 1/2 (/ k 2))) (* (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 2 (- 1/2 (/ k 2))))))) 1544092532.201 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092532.201 * * [misc]simplify: iters left: 6 (14 enodes) 1544092532.205 * * [misc]simplify: iters left: 5 (22 enodes) 1544092532.211 * * [misc]simplify: iters left: 4 (34 enodes) 1544092532.221 * * [misc]simplify: iters left: 3 (54 enodes) 1544092532.236 * * [misc]simplify: iters left: 2 (95 enodes) 1544092532.253 * * [misc]simplify: iters left: 1 (135 enodes) 1544092532.269 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092532.269 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (pow n (- 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) (pow 2 (- 1/2 (/ k 2))))))) 1544092532.269 * * * * [misc]progress: [ 125 / 301 ] simplifiying candidate # 1544092532.270 * [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))))))) 1544092532.270 * * [misc]simplify: iters left: 6 (19 enodes) 1544092532.273 * * [misc]simplify: iters left: 5 (34 enodes) 1544092532.278 * * [misc]simplify: iters left: 4 (54 enodes) 1544092532.286 * * [misc]simplify: iters left: 3 (99 enodes) 1544092532.309 * * [misc]simplify: iters left: 2 (208 enodes) 1544092532.399 * * [misc]simplify: iters left: 1 (492 enodes) 1544092532.664 * [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)))))) 1544092532.664 * [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)))))))) 1544092532.665 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092532.665 * * [misc]simplify: iters left: 6 (17 enodes) 1544092532.670 * * [misc]simplify: iters left: 5 (26 enodes) 1544092532.677 * * [misc]simplify: iters left: 4 (38 enodes) 1544092532.689 * * [misc]simplify: iters left: 3 (58 enodes) 1544092532.700 * * [misc]simplify: iters left: 2 (99 enodes) 1544092532.714 * * [misc]simplify: iters left: 1 (139 enodes) 1544092532.734 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092532.734 * [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))))))) 1544092532.734 * * * * [misc]progress: [ 126 / 301 ] simplifiying candidate # 1544092532.735 * [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)))))) 1544092532.735 * * [misc]simplify: iters left: 6 (18 enodes) 1544092532.741 * * [misc]simplify: iters left: 5 (31 enodes) 1544092532.749 * * [misc]simplify: iters left: 4 (47 enodes) 1544092532.763 * * [misc]simplify: iters left: 3 (80 enodes) 1544092532.775 * * [misc]simplify: iters left: 2 (143 enodes) 1544092532.800 * * [misc]simplify: iters left: 1 (241 enodes) 1544092532.877 * [exit]simplify: Simplified to (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092532.877 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1544092532.877 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092532.878 * * [misc]simplify: iters left: 6 (17 enodes) 1544092532.881 * * [misc]simplify: iters left: 5 (26 enodes) 1544092532.885 * * [misc]simplify: iters left: 4 (38 enodes) 1544092532.890 * * [misc]simplify: iters left: 3 (58 enodes) 1544092532.898 * * [misc]simplify: iters left: 2 (99 enodes) 1544092532.912 * * [misc]simplify: iters left: 1 (139 enodes) 1544092532.938 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092532.938 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092532.938 * * * * [misc]progress: [ 127 / 301 ] simplifiying candidate # 1544092532.939 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ 1 1)) 1544092532.939 * * [misc]simplify: iters left: 6 (14 enodes) 1544092532.943 * * [misc]simplify: iters left: 5 (24 enodes) 1544092532.950 * * [misc]simplify: iters left: 4 (33 enodes) 1544092532.960 * * [misc]simplify: iters left: 3 (59 enodes) 1544092532.979 * * [misc]simplify: iters left: 2 (111 enodes) 1544092533.010 * * [misc]simplify: iters left: 1 (177 enodes) 1544092533.051 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092533.051 * [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))))))) 1544092533.051 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092533.052 * * [misc]simplify: iters left: 6 (16 enodes) 1544092533.057 * * [misc]simplify: iters left: 5 (25 enodes) 1544092533.063 * * [misc]simplify: iters left: 4 (37 enodes) 1544092533.074 * * [misc]simplify: iters left: 3 (57 enodes) 1544092533.090 * * [misc]simplify: iters left: 2 (98 enodes) 1544092533.115 * * [misc]simplify: iters left: 1 (138 enodes) 1544092533.146 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092533.146 * [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))))))) 1544092533.146 * * * * [misc]progress: [ 128 / 301 ] simplifiying candidate # 1544092533.146 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1) 1544092533.147 * * [misc]simplify: iters left: 6 (13 enodes) 1544092533.151 * * [misc]simplify: iters left: 5 (23 enodes) 1544092533.157 * * [misc]simplify: iters left: 4 (38 enodes) 1544092533.168 * * [misc]simplify: iters left: 3 (58 enodes) 1544092533.183 * * [misc]simplify: iters left: 2 (103 enodes) 1544092533.210 * * [misc]simplify: iters left: 1 (141 enodes) 1544092533.237 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092533.237 * [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))))))) 1544092533.237 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092533.237 * * [misc]simplify: iters left: 6 (16 enodes) 1544092533.242 * * [misc]simplify: iters left: 5 (25 enodes) 1544092533.249 * * [misc]simplify: iters left: 4 (37 enodes) 1544092533.260 * * [misc]simplify: iters left: 3 (57 enodes) 1544092533.277 * * [misc]simplify: iters left: 2 (98 enodes) 1544092533.303 * * [misc]simplify: iters left: 1 (138 enodes) 1544092533.331 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092533.331 * [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))))))) 1544092533.331 * * * * [misc]progress: [ 129 / 301 ] simplifiying candidate # 1544092533.331 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (sqrt k)) 1544092533.332 * * [misc]simplify: iters left: 6 (13 enodes) 1544092533.336 * * [misc]simplify: iters left: 5 (21 enodes) 1544092533.342 * * [misc]simplify: iters left: 4 (32 enodes) 1544092533.351 * * [misc]simplify: iters left: 3 (51 enodes) 1544092533.365 * * [misc]simplify: iters left: 2 (92 enodes) 1544092533.390 * * [misc]simplify: iters left: 1 (132 enodes) 1544092533.420 * [exit]simplify: Simplified to (* (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092533.420 * [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))))))) 1544092533.420 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092533.420 * * [misc]simplify: iters left: 6 (16 enodes) 1544092533.425 * * [misc]simplify: iters left: 5 (27 enodes) 1544092533.433 * * [misc]simplify: iters left: 4 (39 enodes) 1544092533.445 * * [misc]simplify: iters left: 3 (67 enodes) 1544092533.463 * * [misc]simplify: iters left: 2 (109 enodes) 1544092533.489 * * [misc]simplify: iters left: 1 (152 enodes) 1544092533.519 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092533.519 * [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))))))) 1544092533.519 * * * * [misc]progress: [ 130 / 301 ] simplifiying candidate # 1544092533.520 * [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))) 1544092533.520 * * [misc]simplify: iters left: 6 (17 enodes) 1544092533.525 * * [misc]simplify: iters left: 5 (29 enodes) 1544092533.533 * * [misc]simplify: iters left: 4 (45 enodes) 1544092533.548 * * [misc]simplify: iters left: 3 (75 enodes) 1544092533.561 * * [misc]simplify: iters left: 2 (128 enodes) 1544092533.578 * * [misc]simplify: iters left: 1 (174 enodes) 1544092533.607 * [exit]simplify: Simplified to (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) 1544092533.607 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))))) 1544092533.607 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1544092533.607 * * [misc]simplify: iters left: 6 (14 enodes) 1544092533.609 * * [misc]simplify: iters left: 5 (21 enodes) 1544092533.612 * * [misc]simplify: iters left: 4 (30 enodes) 1544092533.617 * * [misc]simplify: iters left: 3 (48 enodes) 1544092533.624 * * [misc]simplify: iters left: 2 (89 enodes) 1544092533.645 * * [misc]simplify: iters left: 1 (129 enodes) 1544092533.659 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1544092533.659 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (* (* (sqrt (* 2 n)) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (sqrt k))) (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))))) 1544092533.659 * * * * [misc]progress: [ 131 / 301 ] simplifiying candidate # 1544092533.659 * [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))))))) 1544092533.659 * * [misc]simplify: iters left: 6 (18 enodes) 1544092533.662 * * [misc]simplify: iters left: 5 (27 enodes) 1544092533.666 * * [misc]simplify: iters left: 4 (36 enodes) 1544092533.675 * * [misc]simplify: iters left: 3 (54 enodes) 1544092533.683 * * [misc]simplify: iters left: 2 (95 enodes) 1544092533.696 * * [misc]simplify: iters left: 1 (135 enodes) 1544092533.711 * [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))))))) 1544092533.711 * [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)))))))) 1544092533.711 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.711 * * [misc]simplify: iters left: 6 (17 enodes) 1544092533.714 * * [misc]simplify: iters left: 5 (24 enodes) 1544092533.719 * * [misc]simplify: iters left: 4 (33 enodes) 1544092533.723 * * [misc]simplify: iters left: 3 (51 enodes) 1544092533.731 * * [misc]simplify: iters left: 2 (92 enodes) 1544092533.752 * * [misc]simplify: iters left: 1 (132 enodes) 1544092533.779 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.779 * [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)))))))) 1544092533.780 * * * * [misc]progress: [ 132 / 301 ] simplifiying candidate # 1544092533.780 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.780 * * [misc]simplify: iters left: 6 (17 enodes) 1544092533.785 * * [misc]simplify: iters left: 5 (24 enodes) 1544092533.792 * * [misc]simplify: iters left: 4 (33 enodes) 1544092533.801 * * [misc]simplify: iters left: 3 (51 enodes) 1544092533.816 * * [misc]simplify: iters left: 2 (92 enodes) 1544092533.844 * * [misc]simplify: iters left: 1 (132 enodes) 1544092533.871 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.871 * [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)))))))) 1544092533.871 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.872 * * [misc]simplify: iters left: 6 (17 enodes) 1544092533.876 * * [misc]simplify: iters left: 5 (24 enodes) 1544092533.881 * * [misc]simplify: iters left: 4 (33 enodes) 1544092533.886 * * [misc]simplify: iters left: 3 (51 enodes) 1544092533.895 * * [misc]simplify: iters left: 2 (92 enodes) 1544092533.921 * * [misc]simplify: iters left: 1 (132 enodes) 1544092533.946 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092533.946 * [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)))))))) 1544092533.946 * * * * [misc]progress: [ 133 / 301 ] simplifiying candidate # 1544092533.946 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092533.946 * * [misc]simplify: iters left: 6 (18 enodes) 1544092533.949 * * [misc]simplify: iters left: 5 (30 enodes) 1544092533.953 * * [misc]simplify: iters left: 4 (46 enodes) 1544092533.962 * * [misc]simplify: iters left: 3 (76 enodes) 1544092533.974 * * [misc]simplify: iters left: 2 (122 enodes) 1544092534.005 * * [misc]simplify: iters left: 1 (169 enodes) 1544092534.024 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1544092534.024 * [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))))))) 1544092534.024 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092534.024 * * [misc]simplify: iters left: 6 (18 enodes) 1544092534.027 * * [misc]simplify: iters left: 5 (28 enodes) 1544092534.031 * * [misc]simplify: iters left: 4 (38 enodes) 1544092534.036 * * [misc]simplify: iters left: 3 (58 enodes) 1544092534.044 * * [misc]simplify: iters left: 2 (99 enodes) 1544092534.068 * * [misc]simplify: iters left: 1 (139 enodes) 1544092534.095 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092534.095 * [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)))))) 1544092534.095 * * * * [misc]progress: [ 134 / 301 ] simplifiying candidate # 1544092534.095 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092534.095 * * [misc]simplify: iters left: 6 (18 enodes) 1544092534.098 * * [misc]simplify: iters left: 5 (30 enodes) 1544092534.102 * * [misc]simplify: iters left: 4 (46 enodes) 1544092534.116 * * [misc]simplify: iters left: 3 (76 enodes) 1544092534.134 * * [misc]simplify: iters left: 2 (122 enodes) 1544092534.151 * * [misc]simplify: iters left: 1 (169 enodes) 1544092534.179 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt k)) (sqrt (* 2 n))) (cbrt (sqrt k)))) 1544092534.179 * [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))))))) 1544092534.179 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092534.179 * * [misc]simplify: iters left: 6 (18 enodes) 1544092534.182 * * [misc]simplify: iters left: 5 (28 enodes) 1544092534.186 * * [misc]simplify: iters left: 4 (38 enodes) 1544092534.192 * * [misc]simplify: iters left: 3 (58 enodes) 1544092534.200 * * [misc]simplify: iters left: 2 (99 enodes) 1544092534.217 * * [misc]simplify: iters left: 1 (139 enodes) 1544092534.232 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092534.232 * [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)))))) 1544092534.232 * * * * [misc]progress: [ 135 / 301 ] simplifiying candidate # 1544092534.233 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092534.233 * * [misc]simplify: iters left: 6 (17 enodes) 1544092534.235 * * [misc]simplify: iters left: 5 (27 enodes) 1544092534.239 * * [misc]simplify: iters left: 4 (43 enodes) 1544092534.250 * * [misc]simplify: iters left: 3 (73 enodes) 1544092534.270 * * [misc]simplify: iters left: 2 (119 enodes) 1544092534.293 * * [misc]simplify: iters left: 1 (166 enodes) 1544092534.311 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092534.311 * [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))))))) 1544092534.311 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092534.311 * * [misc]simplify: iters left: 6 (15 enodes) 1544092534.316 * * [misc]simplify: iters left: 5 (23 enodes) 1544092534.323 * * [misc]simplify: iters left: 4 (35 enodes) 1544092534.333 * * [misc]simplify: iters left: 3 (55 enodes) 1544092534.349 * * [misc]simplify: iters left: 2 (96 enodes) 1544092534.372 * * [misc]simplify: iters left: 1 (136 enodes) 1544092534.387 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092534.387 * [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))))))) 1544092534.387 * * * * [misc]progress: [ 136 / 301 ] simplifiying candidate # 1544092534.387 * [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))))))) 1544092534.387 * * [misc]simplify: iters left: 6 (20 enodes) 1544092534.390 * * [misc]simplify: iters left: 5 (35 enodes) 1544092534.396 * * [misc]simplify: iters left: 4 (62 enodes) 1544092534.411 * * [misc]simplify: iters left: 3 (105 enodes) 1544092534.438 * * [misc]simplify: iters left: 2 (180 enodes) 1544092534.470 * * [misc]simplify: iters left: 1 (243 enodes) 1544092534.517 * [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)))))) 1544092534.517 * [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)))))))) 1544092534.518 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092534.518 * * [misc]simplify: iters left: 6 (18 enodes) 1544092534.523 * * [misc]simplify: iters left: 5 (27 enodes) 1544092534.531 * * [misc]simplify: iters left: 4 (39 enodes) 1544092534.543 * * [misc]simplify: iters left: 3 (59 enodes) 1544092534.560 * * [misc]simplify: iters left: 2 (100 enodes) 1544092534.579 * * [misc]simplify: iters left: 1 (140 enodes) 1544092534.594 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092534.595 * [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))))) 1544092534.595 * * * * [misc]progress: [ 137 / 301 ] simplifiying candidate # 1544092534.595 * [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)))))) 1544092534.595 * * [misc]simplify: iters left: 6 (19 enodes) 1544092534.598 * * [misc]simplify: iters left: 5 (30 enodes) 1544092534.602 * * [misc]simplify: iters left: 4 (46 enodes) 1544092534.615 * * [misc]simplify: iters left: 3 (76 enodes) 1544092534.637 * * [misc]simplify: iters left: 2 (122 enodes) 1544092534.668 * * [misc]simplify: iters left: 1 (169 enodes) 1544092534.708 * [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)))))) 1544092534.708 * [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)))))))) 1544092534.709 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092534.709 * * [misc]simplify: iters left: 6 (18 enodes) 1544092534.714 * * [misc]simplify: iters left: 5 (27 enodes) 1544092534.722 * * [misc]simplify: iters left: 4 (39 enodes) 1544092534.734 * * [misc]simplify: iters left: 3 (59 enodes) 1544092534.751 * * [misc]simplify: iters left: 2 (100 enodes) 1544092534.777 * * [misc]simplify: iters left: 1 (140 enodes) 1544092534.793 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (sqrt k))) 1544092534.793 * [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))))) 1544092534.793 * * * * [misc]progress: [ 138 / 301 ] simplifiying candidate # 1544092534.793 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092534.793 * * [misc]simplify: iters left: 6 (16 enodes) 1544092534.796 * * [misc]simplify: iters left: 5 (28 enodes) 1544092534.801 * * [misc]simplify: iters left: 4 (48 enodes) 1544092534.809 * * [misc]simplify: iters left: 3 (87 enodes) 1544092534.826 * * [misc]simplify: iters left: 2 (192 enodes) 1544092534.898 * * [misc]simplify: iters left: 1 (283 enodes) 1544092534.950 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092534.950 * [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))))))) 1544092534.950 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092534.950 * * [misc]simplify: iters left: 6 (17 enodes) 1544092534.953 * * [misc]simplify: iters left: 5 (26 enodes) 1544092534.956 * * [misc]simplify: iters left: 4 (38 enodes) 1544092534.962 * * [misc]simplify: iters left: 3 (58 enodes) 1544092534.971 * * [misc]simplify: iters left: 2 (99 enodes) 1544092534.994 * * [misc]simplify: iters left: 1 (139 enodes) 1544092535.010 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092535.010 * [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))))))) 1544092535.010 * * * * [misc]progress: [ 139 / 301 ] simplifiying candidate # 1544092535.010 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092535.010 * * [misc]simplify: iters left: 6 (17 enodes) 1544092535.013 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.016 * * [misc]simplify: iters left: 4 (39 enodes) 1544092535.025 * * [misc]simplify: iters left: 3 (59 enodes) 1544092535.042 * * [misc]simplify: iters left: 2 (100 enodes) 1544092535.069 * * [misc]simplify: iters left: 1 (140 enodes) 1544092535.094 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092535.094 * [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))))))) 1544092535.094 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092535.094 * * [misc]simplify: iters left: 6 (18 enodes) 1544092535.097 * * [misc]simplify: iters left: 5 (28 enodes) 1544092535.101 * * [misc]simplify: iters left: 4 (38 enodes) 1544092535.106 * * [misc]simplify: iters left: 3 (58 enodes) 1544092535.115 * * [misc]simplify: iters left: 2 (99 enodes) 1544092535.142 * * [misc]simplify: iters left: 1 (139 enodes) 1544092535.157 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092535.157 * [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)))))) 1544092535.157 * * * * [misc]progress: [ 140 / 301 ] simplifiying candidate # 1544092535.157 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092535.157 * * [misc]simplify: iters left: 6 (17 enodes) 1544092535.160 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.163 * * [misc]simplify: iters left: 4 (39 enodes) 1544092535.170 * * [misc]simplify: iters left: 3 (59 enodes) 1544092535.187 * * [misc]simplify: iters left: 2 (100 enodes) 1544092535.214 * * [misc]simplify: iters left: 1 (140 enodes) 1544092535.241 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092535.241 * [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))))))) 1544092535.242 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092535.242 * * [misc]simplify: iters left: 6 (18 enodes) 1544092535.247 * * [misc]simplify: iters left: 5 (28 enodes) 1544092535.253 * * [misc]simplify: iters left: 4 (38 enodes) 1544092535.260 * * [misc]simplify: iters left: 3 (58 enodes) 1544092535.268 * * [misc]simplify: iters left: 2 (99 enodes) 1544092535.282 * * [misc]simplify: iters left: 1 (139 enodes) 1544092535.306 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092535.306 * [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)))))) 1544092535.306 * * * * [misc]progress: [ 141 / 301 ] simplifiying candidate # 1544092535.306 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092535.307 * * [misc]simplify: iters left: 6 (16 enodes) 1544092535.309 * * [misc]simplify: iters left: 5 (24 enodes) 1544092535.313 * * [misc]simplify: iters left: 4 (36 enodes) 1544092535.318 * * [misc]simplify: iters left: 3 (56 enodes) 1544092535.326 * * [misc]simplify: iters left: 2 (97 enodes) 1544092535.345 * * [misc]simplify: iters left: 1 (137 enodes) 1544092535.371 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092535.371 * [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))))))) 1544092535.371 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092535.371 * * [misc]simplify: iters left: 6 (15 enodes) 1544092535.374 * * [misc]simplify: iters left: 5 (23 enodes) 1544092535.377 * * [misc]simplify: iters left: 4 (35 enodes) 1544092535.382 * * [misc]simplify: iters left: 3 (55 enodes) 1544092535.390 * * [misc]simplify: iters left: 2 (96 enodes) 1544092535.411 * * [misc]simplify: iters left: 1 (136 enodes) 1544092535.438 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092535.438 * [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))))))) 1544092535.438 * * * * [misc]progress: [ 142 / 301 ] simplifiying candidate # 1544092535.438 * [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))))))) 1544092535.439 * * [misc]simplify: iters left: 6 (19 enodes) 1544092535.444 * * [misc]simplify: iters left: 5 (30 enodes) 1544092535.452 * * [misc]simplify: iters left: 4 (44 enodes) 1544092535.467 * * [misc]simplify: iters left: 3 (71 enodes) 1544092535.487 * * [misc]simplify: iters left: 2 (120 enodes) 1544092535.516 * * [misc]simplify: iters left: 1 (162 enodes) 1544092535.538 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092535.538 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (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)))))))) 1544092535.538 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092535.538 * * [misc]simplify: iters left: 6 (18 enodes) 1544092535.541 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.545 * * [misc]simplify: iters left: 4 (39 enodes) 1544092535.557 * * [misc]simplify: iters left: 3 (59 enodes) 1544092535.571 * * [misc]simplify: iters left: 2 (100 enodes) 1544092535.586 * * [misc]simplify: iters left: 1 (140 enodes) 1544092535.607 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092535.607 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (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))))) 1544092535.607 * * * * [misc]progress: [ 143 / 301 ] simplifiying candidate # 1544092535.608 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092535.608 * * [misc]simplify: iters left: 6 (18 enodes) 1544092535.613 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.621 * * [misc]simplify: iters left: 4 (39 enodes) 1544092535.633 * * [misc]simplify: iters left: 3 (59 enodes) 1544092535.650 * * [misc]simplify: iters left: 2 (100 enodes) 1544092535.677 * * [misc]simplify: iters left: 1 (140 enodes) 1544092535.698 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092535.698 * [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)))))))) 1544092535.699 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092535.699 * * [misc]simplify: iters left: 6 (18 enodes) 1544092535.702 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.706 * * [misc]simplify: iters left: 4 (39 enodes) 1544092535.712 * * [misc]simplify: iters left: 3 (59 enodes) 1544092535.720 * * [misc]simplify: iters left: 2 (100 enodes) 1544092535.735 * * [misc]simplify: iters left: 1 (140 enodes) 1544092535.750 * [exit]simplify: Simplified to (/ (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1544092535.750 * [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))))) 1544092535.750 * * * * [misc]progress: [ 144 / 301 ] simplifiying candidate # 1544092535.750 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) 1)) 1544092535.750 * * [misc]simplify: iters left: 6 (15 enodes) 1544092535.752 * * [misc]simplify: iters left: 5 (25 enodes) 1544092535.756 * * [misc]simplify: iters left: 4 (41 enodes) 1544092535.762 * * [misc]simplify: iters left: 3 (63 enodes) 1544092535.772 * * [misc]simplify: iters left: 2 (103 enodes) 1544092535.798 * * [misc]simplify: iters left: 1 (141 enodes) 1544092535.824 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092535.824 * [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))))))) 1544092535.824 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092535.824 * * [misc]simplify: iters left: 6 (17 enodes) 1544092535.829 * * [misc]simplify: iters left: 5 (26 enodes) 1544092535.836 * * [misc]simplify: iters left: 4 (38 enodes) 1544092535.846 * * [misc]simplify: iters left: 3 (58 enodes) 1544092535.861 * * [misc]simplify: iters left: 2 (99 enodes) 1544092535.884 * * [misc]simplify: iters left: 1 (139 enodes) 1544092535.900 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092535.900 * [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))))))) 1544092535.900 * * * * [misc]progress: [ 145 / 301 ] simplifiying candidate # 1544092535.900 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544092535.900 * * [misc]simplify: iters left: 6 (16 enodes) 1544092535.903 * * [misc]simplify: iters left: 5 (28 enodes) 1544092535.906 * * [misc]simplify: iters left: 4 (40 enodes) 1544092535.913 * * [misc]simplify: iters left: 3 (68 enodes) 1544092535.924 * * [misc]simplify: iters left: 2 (110 enodes) 1544092535.948 * * [misc]simplify: iters left: 1 (153 enodes) 1544092535.965 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1544092535.965 * [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))))))) 1544092535.965 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092535.966 * * [misc]simplify: iters left: 6 (17 enodes) 1544092535.968 * * [misc]simplify: iters left: 5 (27 enodes) 1544092535.972 * * [misc]simplify: iters left: 4 (37 enodes) 1544092535.977 * * [misc]simplify: iters left: 3 (57 enodes) 1544092535.987 * * [misc]simplify: iters left: 2 (98 enodes) 1544092536.000 * * [misc]simplify: iters left: 1 (138 enodes) 1544092536.015 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544092536.015 * [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)))))) 1544092536.015 * * * * [misc]progress: [ 146 / 301 ] simplifiying candidate # 1544092536.015 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) 1/2))) 1544092536.015 * * [misc]simplify: iters left: 6 (16 enodes) 1544092536.017 * * [misc]simplify: iters left: 5 (28 enodes) 1544092536.021 * * [misc]simplify: iters left: 4 (40 enodes) 1544092536.027 * * [misc]simplify: iters left: 3 (68 enodes) 1544092536.037 * * [misc]simplify: iters left: 2 (110 enodes) 1544092536.051 * * [misc]simplify: iters left: 1 (153 enodes) 1544092536.073 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt (* n 2))) 1544092536.073 * [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))))))) 1544092536.074 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092536.074 * * [misc]simplify: iters left: 6 (17 enodes) 1544092536.079 * * [misc]simplify: iters left: 5 (27 enodes) 1544092536.086 * * [misc]simplify: iters left: 4 (37 enodes) 1544092536.096 * * [misc]simplify: iters left: 3 (57 enodes) 1544092536.112 * * [misc]simplify: iters left: 2 (98 enodes) 1544092536.138 * * [misc]simplify: iters left: 1 (138 enodes) 1544092536.167 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))) 1544092536.167 * [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)))))) 1544092536.167 * * * * [misc]progress: [ 147 / 301 ] simplifiying candidate # 1544092536.167 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092536.167 * * [misc]simplify: iters left: 6 (15 enodes) 1544092536.172 * * [misc]simplify: iters left: 5 (25 enodes) 1544092536.178 * * [misc]simplify: iters left: 4 (37 enodes) 1544092536.189 * * [misc]simplify: iters left: 3 (65 enodes) 1544092536.212 * * [misc]simplify: iters left: 2 (107 enodes) 1544092536.239 * * [misc]simplify: iters left: 1 (150 enodes) 1544092536.269 * [exit]simplify: Simplified to (* (sqrt (pow PI (- 1/2 (/ k 2)))) (pow n (- 1/2 (/ k 2)))) 1544092536.269 * [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))))))) 1544092536.270 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092536.270 * * [misc]simplify: iters left: 6 (14 enodes) 1544092536.274 * * [misc]simplify: iters left: 5 (22 enodes) 1544092536.280 * * [misc]simplify: iters left: 4 (34 enodes) 1544092536.290 * * [misc]simplify: iters left: 3 (54 enodes) 1544092536.305 * * [misc]simplify: iters left: 2 (95 enodes) 1544092536.331 * * [misc]simplify: iters left: 1 (135 enodes) 1544092536.351 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092536.351 * [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))))))) 1544092536.351 * * * * [misc]progress: [ 148 / 301 ] simplifiying candidate # 1544092536.351 * [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))))))) 1544092536.351 * * [misc]simplify: iters left: 6 (18 enodes) 1544092536.354 * * [misc]simplify: iters left: 5 (31 enodes) 1544092536.359 * * [misc]simplify: iters left: 4 (45 enodes) 1544092536.366 * * [misc]simplify: iters left: 3 (77 enodes) 1544092536.382 * * [misc]simplify: iters left: 2 (124 enodes) 1544092536.408 * * [misc]simplify: iters left: 1 (167 enodes) 1544092536.427 * [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))))) 1544092536.427 * [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)))))))) 1544092536.427 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092536.427 * * [misc]simplify: iters left: 6 (17 enodes) 1544092536.430 * * [misc]simplify: iters left: 5 (26 enodes) 1544092536.435 * * [misc]simplify: iters left: 4 (38 enodes) 1544092536.446 * * [misc]simplify: iters left: 3 (58 enodes) 1544092536.463 * * [misc]simplify: iters left: 2 (99 enodes) 1544092536.479 * * [misc]simplify: iters left: 1 (139 enodes) 1544092536.495 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.495 * [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))))))) 1544092536.495 * * * * [misc]progress: [ 149 / 301 ] simplifiying candidate # 1544092536.495 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092536.496 * * [misc]simplify: iters left: 6 (17 enodes) 1544092536.498 * * [misc]simplify: iters left: 5 (28 enodes) 1544092536.505 * * [misc]simplify: iters left: 4 (40 enodes) 1544092536.516 * * [misc]simplify: iters left: 3 (68 enodes) 1544092536.536 * * [misc]simplify: iters left: 2 (110 enodes) 1544092536.565 * * [misc]simplify: iters left: 1 (153 enodes) 1544092536.597 * [exit]simplify: Simplified to (* (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092536.597 * [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)))))))) 1544092536.598 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092536.598 * * [misc]simplify: iters left: 6 (17 enodes) 1544092536.603 * * [misc]simplify: iters left: 5 (26 enodes) 1544092536.611 * * [misc]simplify: iters left: 4 (38 enodes) 1544092536.621 * * [misc]simplify: iters left: 3 (58 enodes) 1544092536.638 * * [misc]simplify: iters left: 2 (99 enodes) 1544092536.665 * * [misc]simplify: iters left: 1 (139 enodes) 1544092536.693 * [exit]simplify: Simplified to (* (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.693 * [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))))))) 1544092536.694 * * * * [misc]progress: [ 150 / 301 ] simplifiying candidate # 1544092536.694 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 1)) 1544092536.696 * * [misc]simplify: iters left: 6 (13 enodes) 1544092536.700 * * [misc]simplify: iters left: 5 (21 enodes) 1544092536.706 * * [misc]simplify: iters left: 4 (30 enodes) 1544092536.715 * * [misc]simplify: iters left: 3 (50 enodes) 1544092536.729 * * [misc]simplify: iters left: 2 (90 enodes) 1544092536.754 * * [misc]simplify: iters left: 1 (128 enodes) 1544092536.778 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092536.778 * [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))))))) 1544092536.779 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.779 * * [misc]simplify: iters left: 6 (16 enodes) 1544092536.784 * * [misc]simplify: iters left: 5 (25 enodes) 1544092536.790 * * [misc]simplify: iters left: 4 (37 enodes) 1544092536.801 * * [misc]simplify: iters left: 3 (57 enodes) 1544092536.816 * * [misc]simplify: iters left: 2 (98 enodes) 1544092536.845 * * [misc]simplify: iters left: 1 (138 enodes) 1544092536.873 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.874 * [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))))))) 1544092536.874 * * * * [misc]progress: [ 151 / 301 ] simplifiying candidate # 1544092536.874 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1) 1544092536.874 * * [misc]simplify: iters left: 6 (12 enodes) 1544092536.878 * * [misc]simplify: iters left: 5 (20 enodes) 1544092536.884 * * [misc]simplify: iters left: 4 (31 enodes) 1544092536.892 * * [misc]simplify: iters left: 3 (49 enodes) 1544092536.905 * * [misc]simplify: iters left: 2 (89 enodes) 1544092536.928 * * [misc]simplify: iters left: 1 (127 enodes) 1544092536.941 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092536.941 * [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))))))) 1544092536.941 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.941 * * [misc]simplify: iters left: 6 (16 enodes) 1544092536.944 * * [misc]simplify: iters left: 5 (25 enodes) 1544092536.947 * * [misc]simplify: iters left: 4 (37 enodes) 1544092536.952 * * [misc]simplify: iters left: 3 (57 enodes) 1544092536.962 * * [misc]simplify: iters left: 2 (98 enodes) 1544092536.976 * * [misc]simplify: iters left: 1 (138 enodes) 1544092536.997 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092536.997 * [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))))))) 1544092536.997 * * * * [misc]progress: [ 152 / 301 ] simplifiying candidate # 1544092536.997 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (sqrt k)) 1544092536.997 * * [misc]simplify: iters left: 6 (12 enodes) 1544092537.001 * * [misc]simplify: iters left: 5 (18 enodes) 1544092537.006 * * [misc]simplify: iters left: 4 (27 enodes) 1544092537.014 * * [misc]simplify: iters left: 3 (45 enodes) 1544092537.027 * * [misc]simplify: iters left: 2 (86 enodes) 1544092537.050 * * [misc]simplify: iters left: 1 (126 enodes) 1544092537.074 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (sqrt k)) 1544092537.074 * [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))))))) 1544092537.076 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092537.077 * * [misc]simplify: iters left: 6 (16 enodes) 1544092537.081 * * [misc]simplify: iters left: 5 (27 enodes) 1544092537.089 * * [misc]simplify: iters left: 4 (39 enodes) 1544092537.100 * * [misc]simplify: iters left: 3 (67 enodes) 1544092537.119 * * [misc]simplify: iters left: 2 (109 enodes) 1544092537.147 * * [misc]simplify: iters left: 1 (152 enodes) 1544092537.179 * [exit]simplify: Simplified to (* (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (pow PI (- 1/2 (/ k 2))))) 1544092537.179 * [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))))))) 1544092537.179 * * * * [misc]progress: [ 153 / 301 ] simplifiying candidate # 1544092537.179 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) 1/2))) 1544092537.179 * * [misc]simplify: iters left: 6 (16 enodes) 1544092537.185 * * [misc]simplify: iters left: 5 (26 enodes) 1544092537.192 * * [misc]simplify: iters left: 4 (38 enodes) 1544092537.204 * * [misc]simplify: iters left: 3 (58 enodes) 1544092537.221 * * [misc]simplify: iters left: 2 (99 enodes) 1544092537.250 * * [misc]simplify: iters left: 1 (139 enodes) 1544092537.279 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (* n 2)))) 1544092537.279 * [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))))) 1544092537.279 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (pow (* n 2) (/ k 2))) 1544092537.280 * * [misc]simplify: iters left: 6 (14 enodes) 1544092537.284 * * [misc]simplify: iters left: 5 (21 enodes) 1544092537.290 * * [misc]simplify: iters left: 4 (30 enodes) 1544092537.299 * * [misc]simplify: iters left: 3 (48 enodes) 1544092537.306 * * [misc]simplify: iters left: 2 (89 enodes) 1544092537.319 * * [misc]simplify: iters left: 1 (129 enodes) 1544092537.335 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (pow (* 2 n) (/ k 2))) 1544092537.335 * [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))))) 1544092537.335 * * * * [misc]progress: [ 154 / 301 ] simplifiying candidate # 1544092537.335 * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092537.336 * * [misc]simplify: iters left: 6 (14 enodes) 1544092537.340 * * [misc]simplify: iters left: 5 (21 enodes) 1544092537.347 * * [misc]simplify: iters left: 4 (24 enodes) 1544092537.354 * [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)))))) 1544092537.354 * [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)))))))) 1544092537.354 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092537.355 * * [misc]simplify: iters left: 6 (16 enodes) 1544092537.359 * * [misc]simplify: iters left: 5 (23 enodes) 1544092537.366 * * [misc]simplify: iters left: 4 (32 enodes) 1544092537.375 * * [misc]simplify: iters left: 3 (50 enodes) 1544092537.390 * * [misc]simplify: iters left: 2 (93 enodes) 1544092537.403 * * [misc]simplify: iters left: 1 (137 enodes) 1544092537.419 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (cbrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092537.419 * [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)))))))) 1544092537.419 * * * * [misc]progress: [ 155 / 301 ] simplifiying candidate # 1544092537.419 * [enter]simplify: Simplifying (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092537.420 * * [misc]simplify: iters left: 6 (13 enodes) 1544092537.421 * * [misc]simplify: iters left: 5 (18 enodes) 1544092537.424 * * [misc]simplify: iters left: 4 (21 enodes) 1544092537.427 * [exit]simplify: Simplified to (/ 1 (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092537.427 * [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)))))))) 1544092537.427 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092537.427 * * [misc]simplify: iters left: 6 (16 enodes) 1544092537.432 * * [misc]simplify: iters left: 5 (23 enodes) 1544092537.438 * * [misc]simplify: iters left: 4 (32 enodes) 1544092537.448 * * [misc]simplify: iters left: 3 (50 enodes) 1544092537.465 * * [misc]simplify: iters left: 2 (93 enodes) 1544092537.491 * * [misc]simplify: iters left: 1 (137 enodes) 1544092537.522 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (/ (sqrt k) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1544092537.522 * [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)))))))) 1544092537.522 * * * * [misc]progress: [ 156 / 301 ] simplifiying candidate # 1544092537.523 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092537.523 * * [misc]simplify: iters left: 6 (12 enodes) 1544092537.527 * * [misc]simplify: iters left: 5 (20 enodes) 1544092537.533 * * [misc]simplify: iters left: 4 (27 enodes) 1544092537.541 * * [misc]simplify: iters left: 3 (37 enodes) 1544092537.554 * * [misc]simplify: iters left: 2 (64 enodes) 1544092537.576 * * [misc]simplify: iters left: 1 (93 enodes) 1544092537.609 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092537.609 * [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))))))) 1544092537.610 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092537.610 * * [misc]simplify: iters left: 6 (17 enodes) 1544092537.615 * * [misc]simplify: iters left: 5 (27 enodes) 1544092537.619 * * [misc]simplify: iters left: 4 (37 enodes) 1544092537.624 * * [misc]simplify: iters left: 3 (57 enodes) 1544092537.633 * * [misc]simplify: iters left: 2 (104 enodes) 1544092537.648 * * [misc]simplify: iters left: 1 (157 enodes) 1544092537.687 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544092537.687 * [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)))))) 1544092537.687 * * * * [misc]progress: [ 157 / 301 ] simplifiying candidate # 1544092537.687 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2))) 1544092537.687 * * [misc]simplify: iters left: 6 (12 enodes) 1544092537.691 * * [misc]simplify: iters left: 5 (20 enodes) 1544092537.696 * * [misc]simplify: iters left: 4 (27 enodes) 1544092537.704 * * [misc]simplify: iters left: 3 (37 enodes) 1544092537.720 * * [misc]simplify: iters left: 2 (64 enodes) 1544092537.732 * * [misc]simplify: iters left: 1 (93 enodes) 1544092537.747 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092537.747 * [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))))))) 1544092537.748 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092537.748 * * [misc]simplify: iters left: 6 (17 enodes) 1544092537.750 * * [misc]simplify: iters left: 5 (27 enodes) 1544092537.754 * * [misc]simplify: iters left: 4 (37 enodes) 1544092537.759 * * [misc]simplify: iters left: 3 (57 enodes) 1544092537.767 * * [misc]simplify: iters left: 2 (104 enodes) 1544092537.796 * * [misc]simplify: iters left: 1 (157 enodes) 1544092537.825 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544092537.825 * [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)))))) 1544092537.825 * * * * [misc]progress: [ 158 / 301 ] simplifiying candidate # 1544092537.825 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2))))) 1544092537.825 * * [misc]simplify: iters left: 6 (13 enodes) 1544092537.828 * * [misc]simplify: iters left: 5 (21 enodes) 1544092537.830 * * [misc]simplify: iters left: 4 (31 enodes) 1544092537.835 * * [misc]simplify: iters left: 3 (51 enodes) 1544092537.844 * * [misc]simplify: iters left: 2 (90 enodes) 1544092537.868 * * [misc]simplify: iters left: 1 (181 enodes) 1544092537.958 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092537.958 * [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))))))) 1544092537.959 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092537.959 * * [misc]simplify: iters left: 6 (14 enodes) 1544092537.963 * * [misc]simplify: iters left: 5 (22 enodes) 1544092537.970 * * [misc]simplify: iters left: 4 (34 enodes) 1544092537.980 * * [misc]simplify: iters left: 3 (54 enodes) 1544092537.996 * * [misc]simplify: iters left: 2 (101 enodes) 1544092538.025 * * [misc]simplify: iters left: 1 (153 enodes) 1544092538.049 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k)))) 1544092538.049 * [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)))))) 1544092538.049 * * * * [misc]progress: [ 159 / 301 ] simplifiying candidate # 1544092538.049 * [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))))))) 1544092538.049 * * [misc]simplify: iters left: 6 (16 enodes) 1544092538.052 * * [misc]simplify: iters left: 5 (29 enodes) 1544092538.056 * * [misc]simplify: iters left: 4 (50 enodes) 1544092538.065 * * [misc]simplify: iters left: 3 (70 enodes) 1544092538.088 * * [misc]simplify: iters left: 2 (169 enodes) 1544092538.150 * [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)))) 1544092538.150 * [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)))))))) 1544092538.150 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092538.151 * * [misc]simplify: iters left: 6 (17 enodes) 1544092538.155 * * [misc]simplify: iters left: 5 (26 enodes) 1544092538.162 * * [misc]simplify: iters left: 4 (38 enodes) 1544092538.173 * * [misc]simplify: iters left: 3 (58 enodes) 1544092538.183 * * [misc]simplify: iters left: 2 (105 enodes) 1544092538.197 * * [misc]simplify: iters left: 1 (158 enodes) 1544092538.228 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092538.228 * [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))))))) 1544092538.228 * * * * [misc]progress: [ 160 / 301 ] simplifiying candidate # 1544092538.229 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092538.229 * * [misc]simplify: iters left: 6 (15 enodes) 1544092538.232 * * [misc]simplify: iters left: 5 (24 enodes) 1544092538.236 * * [misc]simplify: iters left: 4 (34 enodes) 1544092538.241 * * [misc]simplify: iters left: 3 (54 enodes) 1544092538.250 * * [misc]simplify: iters left: 2 (93 enodes) 1544092538.266 * * [misc]simplify: iters left: 1 (182 enodes) 1544092538.353 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092538.353 * [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)))))))) 1544092538.353 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092538.353 * * [misc]simplify: iters left: 6 (17 enodes) 1544092538.356 * * [misc]simplify: iters left: 5 (26 enodes) 1544092538.360 * * [misc]simplify: iters left: 4 (38 enodes) 1544092538.365 * * [misc]simplify: iters left: 3 (58 enodes) 1544092538.373 * * [misc]simplify: iters left: 2 (105 enodes) 1544092538.394 * * [misc]simplify: iters left: 1 (158 enodes) 1544092538.433 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092538.433 * [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))))))) 1544092538.433 * * * * [misc]progress: [ 161 / 301 ] simplifiying candidate # 1544092538.434 * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) 1544092538.434 * * [misc]simplify: iters left: 6 (7 enodes) 1544092538.436 * * [misc]simplify: iters left: 5 (13 enodes) 1544092538.442 * * [misc]simplify: iters left: 4 (22 enodes) 1544092538.447 * * [misc]simplify: iters left: 3 (24 enodes) 1544092538.452 * * [misc]simplify: iters left: 2 (29 enodes) 1544092538.458 * [exit]simplify: Simplified to (* (/ 1 (cbrt (sqrt k))) (/ 1 (cbrt (sqrt k)))) 1544092538.458 * [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))))))) 1544092538.458 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092538.458 * * [misc]simplify: iters left: 6 (16 enodes) 1544092538.463 * * [misc]simplify: iters left: 5 (25 enodes) 1544092538.470 * * [misc]simplify: iters left: 4 (37 enodes) 1544092538.480 * * [misc]simplify: iters left: 3 (57 enodes) 1544092538.496 * * [misc]simplify: iters left: 2 (104 enodes) 1544092538.524 * * [misc]simplify: iters left: 1 (157 enodes) 1544092538.562 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092538.562 * [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))))))) 1544092538.562 * * * * [misc]progress: [ 162 / 301 ] simplifiying candidate # 1544092538.562 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092538.562 * * [misc]simplify: iters left: 6 (11 enodes) 1544092538.565 * * [misc]simplify: iters left: 5 (17 enodes) 1544092538.569 * * [misc]simplify: iters left: 4 (20 enodes) 1544092538.574 * * [misc]simplify: iters left: 3 (22 enodes) 1544092538.582 * * [misc]simplify: iters left: 2 (34 enodes) 1544092538.589 * * [misc]simplify: iters left: 1 (42 enodes) 1544092538.593 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544092538.593 * [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))))))) 1544092538.594 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092538.594 * * [misc]simplify: iters left: 6 (17 enodes) 1544092538.596 * * [misc]simplify: iters left: 5 (27 enodes) 1544092538.600 * * [misc]simplify: iters left: 4 (37 enodes) 1544092538.606 * * [misc]simplify: iters left: 3 (57 enodes) 1544092538.614 * * [misc]simplify: iters left: 2 (104 enodes) 1544092538.629 * * [misc]simplify: iters left: 1 (157 enodes) 1544092538.668 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544092538.668 * [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)))))) 1544092538.668 * * * * [misc]progress: [ 163 / 301 ] simplifiying candidate # 1544092538.669 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) 1544092538.669 * * [misc]simplify: iters left: 6 (11 enodes) 1544092538.672 * * [misc]simplify: iters left: 5 (17 enodes) 1544092538.676 * * [misc]simplify: iters left: 4 (20 enodes) 1544092538.681 * * [misc]simplify: iters left: 3 (22 enodes) 1544092538.689 * * [misc]simplify: iters left: 2 (34 enodes) 1544092538.698 * * [misc]simplify: iters left: 1 (42 enodes) 1544092538.707 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544092538.707 * [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))))))) 1544092538.707 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092538.707 * * [misc]simplify: iters left: 6 (17 enodes) 1544092538.712 * * [misc]simplify: iters left: 5 (27 enodes) 1544092538.720 * * [misc]simplify: iters left: 4 (37 enodes) 1544092538.731 * * [misc]simplify: iters left: 3 (57 enodes) 1544092538.747 * * [misc]simplify: iters left: 2 (104 enodes) 1544092538.768 * * [misc]simplify: iters left: 1 (157 enodes) 1544092538.790 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544092538.790 * [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)))))) 1544092538.790 * * * * [misc]progress: [ 164 / 301 ] simplifiying candidate # 1544092538.790 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) 1544092538.790 * * [misc]simplify: iters left: 6 (12 enodes) 1544092538.794 * * [misc]simplify: iters left: 5 (18 enodes) 1544092538.799 * * [misc]simplify: iters left: 4 (24 enodes) 1544092538.807 * * [misc]simplify: iters left: 3 (32 enodes) 1544092538.817 * * [misc]simplify: iters left: 2 (41 enodes) 1544092538.827 * * [misc]simplify: iters left: 1 (51 enodes) 1544092538.840 * [exit]simplify: Simplified to (/ (pow n (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1544092538.840 * [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))))))) 1544092538.840 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))) 1544092538.840 * * [misc]simplify: iters left: 6 (14 enodes) 1544092538.844 * * [misc]simplify: iters left: 5 (22 enodes) 1544092538.850 * * [misc]simplify: iters left: 4 (34 enodes) 1544092538.859 * * [misc]simplify: iters left: 3 (54 enodes) 1544092538.868 * * [misc]simplify: iters left: 2 (101 enodes) 1544092538.882 * * [misc]simplify: iters left: 1 (153 enodes) 1544092538.911 * [exit]simplify: Simplified to (* (pow 2 (- 1/2 (/ k 2))) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544092538.911 * [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)))))) 1544092538.911 * * * * [misc]progress: [ 165 / 301 ] simplifiying candidate # 1544092538.911 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092538.912 * * [misc]simplify: iters left: 6 (15 enodes) 1544092538.916 * * [misc]simplify: iters left: 5 (24 enodes) 1544092538.924 * * [misc]simplify: iters left: 4 (32 enodes) 1544092538.933 * * [misc]simplify: iters left: 3 (43 enodes) 1544092538.941 * * [misc]simplify: iters left: 2 (69 enodes) 1544092538.952 * * [misc]simplify: iters left: 1 (119 enodes) 1544092538.994 * [exit]simplify: Simplified to (/ (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092538.994 * [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)))))))) 1544092538.994 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092538.995 * * [misc]simplify: iters left: 6 (17 enodes) 1544092539.000 * * [misc]simplify: iters left: 5 (26 enodes) 1544092539.003 * * [misc]simplify: iters left: 4 (38 enodes) 1544092539.009 * * [misc]simplify: iters left: 3 (58 enodes) 1544092539.020 * * [misc]simplify: iters left: 2 (105 enodes) 1544092539.047 * * [misc]simplify: iters left: 1 (158 enodes) 1544092539.084 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.084 * [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))))))) 1544092539.085 * * * * [misc]progress: [ 166 / 301 ] simplifiying candidate # 1544092539.085 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092539.085 * * [misc]simplify: iters left: 6 (14 enodes) 1544092539.089 * * [misc]simplify: iters left: 5 (21 enodes) 1544092539.094 * * [misc]simplify: iters left: 4 (27 enodes) 1544092539.101 * * [misc]simplify: iters left: 3 (35 enodes) 1544092539.111 * * [misc]simplify: iters left: 2 (43 enodes) 1544092539.116 * * [misc]simplify: iters left: 1 (56 enodes) 1544092539.123 * [exit]simplify: Simplified to (/ (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1544092539.123 * [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)))))))) 1544092539.123 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092539.123 * * [misc]simplify: iters left: 6 (17 enodes) 1544092539.126 * * [misc]simplify: iters left: 5 (26 enodes) 1544092539.129 * * [misc]simplify: iters left: 4 (38 enodes) 1544092539.137 * * [misc]simplify: iters left: 3 (58 enodes) 1544092539.145 * * [misc]simplify: iters left: 2 (105 enodes) 1544092539.167 * * [misc]simplify: iters left: 1 (158 enodes) 1544092539.205 * [exit]simplify: Simplified to (* (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.205 * [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))))))) 1544092539.205 * * * * [misc]progress: [ 167 / 301 ] simplifiying candidate # 1544092539.206 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) 1)) 1544092539.206 * * [misc]simplify: iters left: 6 (6 enodes) 1544092539.208 * * [misc]simplify: iters left: 5 (10 enodes) 1544092539.211 * * [misc]simplify: iters left: 4 (16 enodes) 1544092539.214 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1544092539.215 * [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))))))) 1544092539.215 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.215 * * [misc]simplify: iters left: 6 (16 enodes) 1544092539.220 * * [misc]simplify: iters left: 5 (25 enodes) 1544092539.227 * * [misc]simplify: iters left: 4 (37 enodes) 1544092539.236 * * [misc]simplify: iters left: 3 (57 enodes) 1544092539.244 * * [misc]simplify: iters left: 2 (104 enodes) 1544092539.261 * * [misc]simplify: iters left: 1 (157 enodes) 1544092539.293 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.293 * [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))))))) 1544092539.293 * * * * [misc]progress: [ 168 / 301 ] simplifiying candidate # 1544092539.293 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544092539.293 * * [misc]simplify: iters left: 6 (8 enodes) 1544092539.296 * * [misc]simplify: iters left: 5 (14 enodes) 1544092539.300 * * [misc]simplify: iters left: 4 (15 enodes) 1544092539.304 * * [misc]simplify: iters left: 3 (19 enodes) 1544092539.308 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544092539.308 * [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))))))) 1544092539.308 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092539.308 * * [misc]simplify: iters left: 6 (16 enodes) 1544092539.313 * * [misc]simplify: iters left: 5 (26 enodes) 1544092539.320 * * [misc]simplify: iters left: 4 (36 enodes) 1544092539.325 * * [misc]simplify: iters left: 3 (56 enodes) 1544092539.334 * * [misc]simplify: iters left: 2 (103 enodes) 1544092539.352 * * [misc]simplify: iters left: 1 (155 enodes) 1544092539.372 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544092539.372 * [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)))))) 1544092539.372 * * * * [misc]progress: [ 169 / 301 ] simplifiying candidate # 1544092539.373 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow (* n 2) 1/2))) 1544092539.373 * * [misc]simplify: iters left: 6 (8 enodes) 1544092539.376 * * [misc]simplify: iters left: 5 (14 enodes) 1544092539.379 * * [misc]simplify: iters left: 4 (15 enodes) 1544092539.383 * * [misc]simplify: iters left: 3 (19 enodes) 1544092539.387 * [exit]simplify: Simplified to (sqrt (* 2 n)) 1544092539.387 * [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))))))) 1544092539.387 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) 1544092539.388 * * [misc]simplify: iters left: 6 (16 enodes) 1544092539.393 * * [misc]simplify: iters left: 5 (26 enodes) 1544092539.400 * * [misc]simplify: iters left: 4 (36 enodes) 1544092539.410 * * [misc]simplify: iters left: 3 (56 enodes) 1544092539.426 * * [misc]simplify: iters left: 2 (103 enodes) 1544092539.454 * * [misc]simplify: iters left: 1 (155 enodes) 1544092539.496 * [exit]simplify: Simplified to (* (pow (* 2 n) (/ (- k) 2)) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544092539.496 * [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)))))) 1544092539.496 * * * * [misc]progress: [ 170 / 301 ] simplifiying candidate # 1544092539.496 * [enter]simplify: Simplifying (/ 1 (/ 1 (pow n (- 1/2 (/ k 2))))) 1544092539.496 * * [misc]simplify: iters left: 6 (10 enodes) 1544092539.500 * * [misc]simplify: iters left: 5 (16 enodes) 1544092539.504 * * [misc]simplify: iters left: 4 (20 enodes) 1544092539.510 * * [misc]simplify: iters left: 3 (24 enodes) 1544092539.515 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544092539.515 * [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))))))) 1544092539.515 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))) 1544092539.516 * * [misc]simplify: iters left: 6 (13 enodes) 1544092539.518 * * [misc]simplify: iters left: 5 (21 enodes) 1544092539.521 * * [misc]simplify: iters left: 4 (33 enodes) 1544092539.526 * * [misc]simplify: iters left: 3 (53 enodes) 1544092539.534 * * [misc]simplify: iters left: 2 (100 enodes) 1544092539.552 * * [misc]simplify: iters left: 1 (152 enodes) 1544092539.586 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow 2 (- 1/2 (/ k 2)))) 1544092539.586 * [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)))))) 1544092539.586 * * * * [misc]progress: [ 171 / 301 ] simplifiying candidate # 1544092539.586 * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))))) 1544092539.586 * * [misc]simplify: iters left: 6 (13 enodes) 1544092539.590 * * [misc]simplify: iters left: 5 (22 enodes) 1544092539.593 * * [misc]simplify: iters left: 4 (26 enodes) 1544092539.597 * * [misc]simplify: iters left: 3 (32 enodes) 1544092539.601 * * [misc]simplify: iters left: 2 (34 enodes) 1544092539.605 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092539.605 * [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)))))))) 1544092539.605 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092539.605 * * [misc]simplify: iters left: 6 (16 enodes) 1544092539.608 * * [misc]simplify: iters left: 5 (25 enodes) 1544092539.611 * * [misc]simplify: iters left: 4 (37 enodes) 1544092539.622 * * [misc]simplify: iters left: 3 (57 enodes) 1544092539.633 * * [misc]simplify: iters left: 2 (104 enodes) 1544092539.648 * * [misc]simplify: iters left: 1 (157 enodes) 1544092539.680 * [exit]simplify: Simplified to (* (cbrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544092539.680 * [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)))))) 1544092539.680 * * * * [misc]progress: [ 172 / 301 ] simplifiying candidate # 1544092539.680 * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092539.680 * * [misc]simplify: iters left: 6 (12 enodes) 1544092539.684 * * [misc]simplify: iters left: 5 (19 enodes) 1544092539.687 * * [misc]simplify: iters left: 4 (23 enodes) 1544092539.691 * * [misc]simplify: iters left: 3 (27 enodes) 1544092539.694 * [exit]simplify: Simplified to (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092539.694 * [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)))))))) 1544092539.694 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092539.694 * * [misc]simplify: iters left: 6 (16 enodes) 1544092539.697 * * [misc]simplify: iters left: 5 (25 enodes) 1544092539.700 * * [misc]simplify: iters left: 4 (37 enodes) 1544092539.706 * * [misc]simplify: iters left: 3 (57 enodes) 1544092539.714 * * [misc]simplify: iters left: 2 (104 enodes) 1544092539.738 * * [misc]simplify: iters left: 1 (157 enodes) 1544092539.766 * [exit]simplify: Simplified to (* (sqrt (pow (* 2 n) (- 1/2 (/ k 2)))) (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k)))) 1544092539.766 * [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)))))) 1544092539.767 * * * * [misc]progress: [ 173 / 301 ] simplifiying candidate # 1544092539.767 * [enter]simplify: Simplifying (/ 1 (/ 1 1)) 1544092539.767 * * [misc]simplify: iters left: 4 (3 enodes) 1544092539.767 * * [misc]simplify: iters left: 3 (5 enodes) 1544092539.768 * [exit]simplify: Simplified to 1 1544092539.768 * [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))))))) 1544092539.768 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.768 * * [misc]simplify: iters left: 6 (15 enodes) 1544092539.770 * * [misc]simplify: iters left: 5 (24 enodes) 1544092539.774 * * [misc]simplify: iters left: 4 (36 enodes) 1544092539.781 * * [misc]simplify: iters left: 3 (56 enodes) 1544092539.790 * * [misc]simplify: iters left: 2 (103 enodes) 1544092539.807 * * [misc]simplify: iters left: 1 (155 enodes) 1544092539.831 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092539.831 * [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)))))) 1544092539.831 * * * * [misc]progress: [ 174 / 301 ] simplifiying candidate # 1544092539.831 * [enter]simplify: Simplifying (/ 1 1) 1544092539.831 * * [misc]simplify: iters left: 2 (2 enodes) 1544092539.832 * * [misc]simplify: iters left: 1 (4 enodes) 1544092539.833 * [exit]simplify: Simplified to 1 1544092539.833 * [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))))))) 1544092539.833 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.833 * * [misc]simplify: iters left: 6 (15 enodes) 1544092539.838 * * [misc]simplify: iters left: 5 (24 enodes) 1544092539.845 * * [misc]simplify: iters left: 4 (36 enodes) 1544092539.855 * * [misc]simplify: iters left: 3 (56 enodes) 1544092539.871 * * [misc]simplify: iters left: 2 (103 enodes) 1544092539.903 * * [misc]simplify: iters left: 1 (155 enodes) 1544092539.941 * [exit]simplify: Simplified to (* (/ (/ (sqrt PI) (sqrt k)) (sqrt (pow PI k))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092539.941 * [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)))))) 1544092539.941 * * * * [misc]progress: [ 175 / 301 ] simplifiying candidate # 1544092539.942 * [enter]simplify: Simplifying (/ 1 (sqrt k)) 1544092539.942 * * [misc]simplify: iters left: 3 (4 enodes) 1544092539.943 * * [misc]simplify: iters left: 2 (6 enodes) 1544092539.944 * [exit]simplify: Simplified to (/ 1 (sqrt k)) 1544092539.944 * [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))))))) 1544092539.945 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) (- 1/2 (/ k 2))))) 1544092539.945 * * [misc]simplify: iters left: 6 (15 enodes) 1544092539.949 * * [misc]simplify: iters left: 5 (26 enodes) 1544092539.956 * * [misc]simplify: iters left: 4 (37 enodes) 1544092539.968 * * [misc]simplify: iters left: 3 (66 enodes) 1544092539.988 * * [misc]simplify: iters left: 2 (129 enodes) 1544092540.015 * * [misc]simplify: iters left: 1 (200 enodes) 1544092540.049 * [exit]simplify: Simplified to (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092540.049 * [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)))))) 1544092540.049 * * * * [misc]progress: [ 176 / 301 ] simplifiying candidate # 1544092540.049 * [enter]simplify: Simplifying (/ 1 (/ (sqrt k) (pow (* n 2) 1/2))) 1544092540.049 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.051 * * [misc]simplify: iters left: 5 (16 enodes) 1544092540.053 * * [misc]simplify: iters left: 4 (19 enodes) 1544092540.055 * * [misc]simplify: iters left: 3 (21 enodes) 1544092540.058 * * [misc]simplify: iters left: 2 (33 enodes) 1544092540.062 * * [misc]simplify: iters left: 1 (41 enodes) 1544092540.067 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt k)) 1544092540.067 * [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))))) 1544092540.067 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (pow (* n 2) (/ k 2))) 1544092540.067 * * [misc]simplify: iters left: 6 (13 enodes) 1544092540.070 * * [misc]simplify: iters left: 5 (20 enodes) 1544092540.076 * * [misc]simplify: iters left: 4 (29 enodes) 1544092540.084 * * [misc]simplify: iters left: 3 (47 enodes) 1544092540.098 * * [misc]simplify: iters left: 2 (90 enodes) 1544092540.125 * * [misc]simplify: iters left: 1 (134 enodes) 1544092540.146 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (/ k 2))) 1544092540.146 * [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))))) 1544092540.146 * * * * [misc]progress: [ 177 / 301 ] simplifiying candidate # 1544092540.146 * * * * [misc]progress: [ 178 / 301 ] simplifiying candidate # 1544092540.146 * * * * [misc]progress: [ 179 / 301 ] simplifiying candidate # 1544092540.146 * * * * [misc]progress: [ 180 / 301 ] simplifiying candidate # 1544092540.146 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.146 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.148 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.150 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.152 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.152 * [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))))))) 1544092540.152 * * * * [misc]progress: [ 181 / 301 ] simplifiying candidate # 1544092540.153 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.153 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.154 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.157 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.162 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.162 * [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))))))) 1544092540.162 * * * * [misc]progress: [ 182 / 301 ] simplifiying candidate # 1544092540.163 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092540.163 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.166 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.168 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092540.168 * [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))))) 1544092540.168 * * * * [misc]progress: [ 183 / 301 ] simplifiying candidate # 1544092540.169 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092540.169 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.170 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.172 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092540.172 * [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))))) 1544092540.172 * * * * [misc]progress: [ 184 / 301 ] simplifiying candidate # 1544092540.172 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092540.172 * * [misc]simplify: iters left: 6 (9 enodes) 1544092540.173 * * [misc]simplify: iters left: 5 (11 enodes) 1544092540.175 * * [misc]simplify: iters left: 4 (14 enodes) 1544092540.177 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092540.177 * [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)))))) 1544092540.177 * * * * [misc]progress: [ 185 / 301 ] simplifiying candidate # 1544092540.177 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.177 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.179 * * [misc]simplify: iters left: 5 (15 enodes) 1544092540.181 * * [misc]simplify: iters left: 4 (18 enodes) 1544092540.184 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.184 * [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))))))) 1544092540.184 * * * * [misc]progress: [ 186 / 301 ] simplifiying candidate # 1544092540.184 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.184 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.186 * * [misc]simplify: iters left: 5 (15 enodes) 1544092540.188 * * [misc]simplify: iters left: 4 (18 enodes) 1544092540.190 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.190 * [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))))))) 1544092540.190 * * * * [misc]progress: [ 187 / 301 ] simplifiying candidate # 1544092540.190 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.190 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.192 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.194 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.196 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.196 * [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)))))) 1544092540.196 * * * * [misc]progress: [ 188 / 301 ] simplifiying candidate # 1544092540.196 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092540.196 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.198 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.200 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092540.200 * [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))))) 1544092540.200 * * * * [misc]progress: [ 189 / 301 ] simplifiying candidate # 1544092540.200 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092540.201 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.203 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.207 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092540.207 * [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))))) 1544092540.207 * * * * [misc]progress: [ 190 / 301 ] simplifiying candidate # 1544092540.207 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092540.207 * * [misc]simplify: iters left: 6 (9 enodes) 1544092540.210 * * [misc]simplify: iters left: 5 (11 enodes) 1544092540.215 * * [misc]simplify: iters left: 4 (14 enodes) 1544092540.217 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092540.217 * [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)))))) 1544092540.217 * * * * [misc]progress: [ 191 / 301 ] simplifiying candidate # 1544092540.217 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.217 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.219 * * [misc]simplify: iters left: 5 (15 enodes) 1544092540.221 * * [misc]simplify: iters left: 4 (18 enodes) 1544092540.225 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.225 * [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))))))) 1544092540.225 * * * * [misc]progress: [ 192 / 301 ] simplifiying candidate # 1544092540.226 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.226 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.229 * * [misc]simplify: iters left: 5 (15 enodes) 1544092540.234 * * [misc]simplify: iters left: 4 (18 enodes) 1544092540.239 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.239 * [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))))))) 1544092540.239 * * * * [misc]progress: [ 193 / 301 ] simplifiying candidate # 1544092540.239 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.240 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.243 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.247 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.252 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.252 * [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)))))) 1544092540.252 * * * * [misc]progress: [ 194 / 301 ] simplifiying candidate # 1544092540.252 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092540.253 * * [misc]simplify: iters left: 6 (9 enodes) 1544092540.255 * * [misc]simplify: iters left: 5 (12 enodes) 1544092540.258 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092540.259 * [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))))) 1544092540.259 * * * * [misc]progress: [ 195 / 301 ] simplifiying candidate # 1544092540.259 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092540.259 * * [misc]simplify: iters left: 6 (9 enodes) 1544092540.262 * * [misc]simplify: iters left: 5 (12 enodes) 1544092540.264 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092540.265 * [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))))) 1544092540.265 * * * * [misc]progress: [ 196 / 301 ] simplifiying candidate # 1544092540.265 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092540.265 * * [misc]simplify: iters left: 6 (8 enodes) 1544092540.266 * * [misc]simplify: iters left: 5 (10 enodes) 1544092540.268 * * [misc]simplify: iters left: 4 (13 enodes) 1544092540.269 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092540.269 * [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)))))) 1544092540.269 * * * * [misc]progress: [ 197 / 301 ] simplifiying candidate # 1544092540.270 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.270 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.271 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.273 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.276 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.276 * [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))))))) 1544092540.276 * * * * [misc]progress: [ 198 / 301 ] simplifiying candidate # 1544092540.276 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.276 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.278 * * [misc]simplify: iters left: 5 (14 enodes) 1544092540.280 * * [misc]simplify: iters left: 4 (17 enodes) 1544092540.282 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092540.282 * [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))))))) 1544092540.282 * * * * [misc]progress: [ 199 / 301 ] simplifiying candidate # 1544092540.282 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.283 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.284 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.286 * * [misc]simplify: iters left: 4 (16 enodes) 1544092540.288 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.288 * [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)))))) 1544092540.288 * * * * [misc]progress: [ 200 / 301 ] simplifiying candidate # 1544092540.289 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.289 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.290 * * [misc]simplify: iters left: 5 (13 enodes) 1544092540.292 * * [misc]simplify: iters left: 4 (16 enodes) 1544092540.294 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.294 * [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)))))) 1544092540.295 * * * * [misc]progress: [ 201 / 301 ] simplifiying candidate # 1544092540.295 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1544092540.295 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.296 * * [misc]simplify: iters left: 5 (15 enodes) 1544092540.298 * * [misc]simplify: iters left: 4 (18 enodes) 1544092540.301 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1544092540.301 * [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)))))) 1544092540.301 * * * * [misc]progress: [ 202 / 301 ] simplifiying candidate # 1544092540.301 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092540.301 * * [misc]simplify: iters left: 3 (6 enodes) 1544092540.302 * * [misc]simplify: iters left: 2 (7 enodes) 1544092540.303 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092540.303 * [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)))) 1544092540.303 * * * * [misc]progress: [ 203 / 301 ] simplifiying candidate # 1544092540.303 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092540.303 * * [misc]simplify: iters left: 4 (5 enodes) 1544092540.304 * * [misc]simplify: iters left: 3 (9 enodes) 1544092540.305 * * [misc]simplify: iters left: 2 (11 enodes) 1544092540.307 * * [misc]simplify: iters left: 1 (13 enodes) 1544092540.309 * [exit]simplify: Simplified to (sqrt PI) 1544092540.309 * [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))))))) 1544092540.309 * * * * [misc]progress: [ 204 / 301 ] simplifiying candidate # 1544092540.309 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092540.309 * * [misc]simplify: iters left: 4 (5 enodes) 1544092540.311 * * [misc]simplify: iters left: 3 (9 enodes) 1544092540.313 * * [misc]simplify: iters left: 2 (11 enodes) 1544092540.318 * * [misc]simplify: iters left: 1 (13 enodes) 1544092540.321 * [exit]simplify: Simplified to (sqrt PI) 1544092540.321 * [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))))))) 1544092540.321 * * * * [misc]progress: [ 205 / 301 ] simplifiying candidate # 1544092540.321 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092540.321 * * [misc]simplify: iters left: 4 (5 enodes) 1544092540.323 * * [misc]simplify: iters left: 3 (8 enodes) 1544092540.326 * * [misc]simplify: iters left: 2 (9 enodes) 1544092540.328 * * [misc]simplify: iters left: 1 (12 enodes) 1544092540.332 * [exit]simplify: Simplified to (sqrt PI) 1544092540.332 * [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)))))) 1544092540.332 * * * * [misc]progress: [ 206 / 301 ] simplifiying candidate # 1544092540.332 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092540.332 * * [misc]simplify: iters left: 4 (5 enodes) 1544092540.334 * * [misc]simplify: iters left: 3 (8 enodes) 1544092540.337 * * [misc]simplify: iters left: 2 (9 enodes) 1544092540.340 * * [misc]simplify: iters left: 1 (12 enodes) 1544092540.343 * [exit]simplify: Simplified to (sqrt PI) 1544092540.343 * [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)))))) 1544092540.343 * * * * [misc]progress: [ 207 / 301 ] simplifiying candidate # 1544092540.344 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1544092540.344 * * [misc]simplify: iters left: 6 (11 enodes) 1544092540.347 * * [misc]simplify: iters left: 5 (17 enodes) 1544092540.352 * * [misc]simplify: iters left: 4 (26 enodes) 1544092540.360 * * [misc]simplify: iters left: 3 (44 enodes) 1544092540.373 * * [misc]simplify: iters left: 2 (85 enodes) 1544092540.396 * * [misc]simplify: iters left: 1 (125 enodes) 1544092540.421 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092540.421 * [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)))))))) 1544092540.421 * * * * [misc]progress: [ 208 / 301 ] simplifiying candidate # 1544092540.422 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1544092540.422 * * [misc]simplify: iters left: 6 (10 enodes) 1544092540.425 * * [misc]simplify: iters left: 5 (16 enodes) 1544092540.429 * * [misc]simplify: iters left: 4 (25 enodes) 1544092540.436 * * [misc]simplify: iters left: 3 (43 enodes) 1544092540.449 * * [misc]simplify: iters left: 2 (84 enodes) 1544092540.473 * * [misc]simplify: iters left: 1 (124 enodes) 1544092540.498 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092540.498 * [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)))))))) 1544092540.498 * * * * [misc]progress: [ 209 / 301 ] simplifiying candidate # 1544092540.498 * * * * [misc]progress: [ 210 / 301 ] simplifiying candidate # 1544092540.499 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544092540.499 * * [misc]simplify: iters left: 5 (8 enodes) 1544092540.501 * * [misc]simplify: iters left: 4 (11 enodes) 1544092540.504 * * [misc]simplify: iters left: 3 (14 enodes) 1544092540.508 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544092540.508 * [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))))) 1544092540.508 * * * * [misc]progress: [ 211 / 301 ] simplifiying candidate # 1544092540.508 * * * * [misc]progress: [ 212 / 301 ] simplifiying candidate # 1544092540.508 * * * * [misc]progress: [ 213 / 301 ] simplifiying candidate # 1544092540.509 * * * * [misc]progress: [ 214 / 301 ] simplifiying candidate # 1544092540.509 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544092540.509 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.513 * * [misc]simplify: iters left: 5 (21 enodes) 1544092540.520 * * [misc]simplify: iters left: 4 (44 enodes) 1544092540.538 * * [misc]simplify: iters left: 3 (133 enodes) 1544092540.598 * * [misc]simplify: iters left: 2 (379 enodes) 1544092540.774 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1544092540.774 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092540.774 * * * * [misc]progress: [ 215 / 301 ] simplifiying candidate # 1544092540.774 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1544092540.774 * * [misc]simplify: iters left: 6 (12 enodes) 1544092540.779 * * [misc]simplify: iters left: 5 (21 enodes) 1544092540.786 * * [misc]simplify: iters left: 4 (44 enodes) 1544092540.804 * * [misc]simplify: iters left: 3 (133 enodes) 1544092540.877 * * [misc]simplify: iters left: 2 (379 enodes) 1544092541.037 * [exit]simplify: Simplified to (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k))) 1544092541.037 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (+ -1/2 (/ k 2)) (log (* n 2)) (log (sqrt k)))))) 1544092541.037 * * * * [misc]progress: [ 216 / 301 ] simplifiying candidate # 1544092541.037 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.037 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.039 * * [misc]simplify: iters left: 5 (19 enodes) 1544092541.042 * * [misc]simplify: iters left: 4 (32 enodes) 1544092541.048 * * [misc]simplify: iters left: 3 (69 enodes) 1544092541.063 * * [misc]simplify: iters left: 2 (208 enodes) 1544092541.165 * [exit]simplify: Simplified to (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k))) 1544092541.165 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (fma (log (* n 2)) (+ -1/2 (/ k 2)) (log (sqrt k)))))) 1544092541.165 * * * * [misc]progress: [ 217 / 301 ] simplifiying candidate # 1544092541.165 * * * * [misc]progress: [ 218 / 301 ] simplifiying candidate # 1544092541.165 * * * * [misc]progress: [ 219 / 301 ] simplifiying candidate # 1544092541.165 * [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))))) 1544092541.165 * * [misc]simplify: iters left: 6 (14 enodes) 1544092541.167 * * [misc]simplify: iters left: 5 (26 enodes) 1544092541.172 * * [misc]simplify: iters left: 4 (58 enodes) 1544092541.188 * * [misc]simplify: iters left: 3 (117 enodes) 1544092541.233 * * [misc]simplify: iters left: 2 (193 enodes) 1544092541.308 * * [misc]simplify: iters left: 1 (263 enodes) 1544092541.389 * [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))))) 1544092541.389 * [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)))))))) 1544092541.389 * * * * [misc]progress: [ 220 / 301 ] simplifiying candidate # 1544092541.389 * * * * [misc]progress: [ 221 / 301 ] simplifiying candidate # 1544092541.389 * * * * [misc]progress: [ 222 / 301 ] simplifiying candidate # 1544092541.389 * * * * [misc]progress: [ 223 / 301 ] simplifiying candidate # 1544092541.389 * * * * [misc]progress: [ 224 / 301 ] simplifiying candidate # 1544092541.389 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544092541.389 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.391 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.394 * * [misc]simplify: iters left: 4 (16 enodes) 1544092541.398 * * [misc]simplify: iters left: 3 (17 enodes) 1544092541.403 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544092541.403 * [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))))))) 1544092541.404 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092541.404 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.407 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.410 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092541.410 * [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)))))) 1544092541.410 * * * * [misc]progress: [ 225 / 301 ] simplifiying candidate # 1544092541.411 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1544092541.411 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.414 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.417 * * [misc]simplify: iters left: 4 (16 enodes) 1544092541.421 * * [misc]simplify: iters left: 3 (17 enodes) 1544092541.425 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1544092541.425 * [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))))))) 1544092541.425 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092541.425 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.426 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.428 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092541.428 * [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)))))) 1544092541.428 * * * * [misc]progress: [ 226 / 301 ] simplifiying candidate # 1544092541.428 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092541.428 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.430 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.432 * * [misc]simplify: iters left: 4 (20 enodes) 1544092541.435 * * [misc]simplify: iters left: 3 (21 enodes) 1544092541.438 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1544092541.438 * [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))))))) 1544092541.438 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092541.438 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.439 * * [misc]simplify: iters left: 5 (11 enodes) 1544092541.441 * * [misc]simplify: iters left: 4 (14 enodes) 1544092541.443 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092541.443 * [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))))))) 1544092541.443 * * * * [misc]progress: [ 227 / 301 ] simplifiying candidate # 1544092541.443 * [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)))))) 1544092541.443 * * [misc]simplify: iters left: 6 (14 enodes) 1544092541.445 * * [misc]simplify: iters left: 5 (23 enodes) 1544092541.448 * * [misc]simplify: iters left: 4 (35 enodes) 1544092541.454 * * [misc]simplify: iters left: 3 (38 enodes) 1544092541.462 * * [misc]simplify: iters left: 2 (41 enodes) 1544092541.473 * [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)))))) 1544092541.473 * [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)))))))) 1544092541.474 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.474 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.477 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.481 * * [misc]simplify: iters left: 4 (18 enodes) 1544092541.486 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.486 * [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)))))))) 1544092541.486 * * * * [misc]progress: [ 228 / 301 ] simplifiying candidate # 1544092541.487 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.487 * * [misc]simplify: iters left: 6 (13 enodes) 1544092541.491 * * [misc]simplify: iters left: 5 (18 enodes) 1544092541.496 * * [misc]simplify: iters left: 4 (23 enodes) 1544092541.503 * * [misc]simplify: iters left: 3 (24 enodes) 1544092541.509 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.509 * [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)))))))) 1544092541.510 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.510 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.513 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.517 * * [misc]simplify: iters left: 4 (18 enodes) 1544092541.522 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.522 * [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)))))))) 1544092541.522 * * * * [misc]progress: [ 229 / 301 ] simplifiying candidate # 1544092541.522 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1544092541.523 * * [misc]simplify: iters left: 6 (6 enodes) 1544092541.524 * * [misc]simplify: iters left: 5 (10 enodes) 1544092541.528 * * [misc]simplify: iters left: 4 (16 enodes) 1544092541.531 * * [misc]simplify: iters left: 3 (18 enodes) 1544092541.535 * * [misc]simplify: iters left: 2 (23 enodes) 1544092541.540 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092541.540 * [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))))))) 1544092541.540 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.541 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.544 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.548 * * [misc]simplify: iters left: 4 (17 enodes) 1544092541.552 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.552 * [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))))))) 1544092541.552 * * * * [misc]progress: [ 230 / 301 ] simplifiying candidate # 1544092541.553 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544092541.553 * * [misc]simplify: iters left: 5 (9 enodes) 1544092541.555 * * [misc]simplify: iters left: 4 (11 enodes) 1544092541.558 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092541.558 * [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))))))) 1544092541.559 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092541.559 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.562 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.565 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092541.565 * [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)))))) 1544092541.565 * * * * [misc]progress: [ 231 / 301 ] simplifiying candidate # 1544092541.566 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1544092541.566 * * [misc]simplify: iters left: 5 (9 enodes) 1544092541.568 * * [misc]simplify: iters left: 4 (11 enodes) 1544092541.571 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092541.571 * [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))))))) 1544092541.571 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092541.572 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.574 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.578 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092541.578 * [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)))))) 1544092541.578 * * * * [misc]progress: [ 232 / 301 ] simplifiying candidate # 1544092541.578 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544092541.578 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.581 * * [misc]simplify: iters left: 5 (12 enodes) 1544092541.584 * * [misc]simplify: iters left: 4 (15 enodes) 1544092541.588 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1544092541.588 * [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))))))) 1544092541.589 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092541.589 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.591 * * [misc]simplify: iters left: 5 (11 enodes) 1544092541.594 * * [misc]simplify: iters left: 4 (14 enodes) 1544092541.598 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1544092541.598 * [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))))))) 1544092541.598 * * * * [misc]progress: [ 233 / 301 ] simplifiying candidate # 1544092541.598 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092541.599 * * [misc]simplify: iters left: 6 (13 enodes) 1544092541.603 * * [misc]simplify: iters left: 5 (18 enodes) 1544092541.608 * * [misc]simplify: iters left: 4 (21 enodes) 1544092541.614 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092541.614 * [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)))))))) 1544092541.614 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.614 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.619 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.623 * * [misc]simplify: iters left: 4 (18 enodes) 1544092541.628 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.628 * [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)))))))) 1544092541.629 * * * * [misc]progress: [ 234 / 301 ] simplifiying candidate # 1544092541.629 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.629 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.633 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.637 * * [misc]simplify: iters left: 4 (18 enodes) 1544092541.642 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.642 * [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)))))))) 1544092541.642 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.642 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.646 * * [misc]simplify: iters left: 5 (15 enodes) 1544092541.650 * * [misc]simplify: iters left: 4 (18 enodes) 1544092541.655 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.655 * [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)))))))) 1544092541.655 * * * * [misc]progress: [ 235 / 301 ] simplifiying candidate # 1544092541.655 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1544092541.655 * * [misc]simplify: iters left: 4 (5 enodes) 1544092541.657 * * [misc]simplify: iters left: 3 (7 enodes) 1544092541.659 * * [misc]simplify: iters left: 2 (9 enodes) 1544092541.661 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092541.661 * [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))))))) 1544092541.661 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.661 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.665 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.669 * * [misc]simplify: iters left: 4 (17 enodes) 1544092541.673 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.673 * [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))))))) 1544092541.674 * * * * [misc]progress: [ 236 / 301 ] simplifiying candidate # 1544092541.674 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544092541.674 * * [misc]simplify: iters left: 5 (7 enodes) 1544092541.676 * * [misc]simplify: iters left: 4 (11 enodes) 1544092541.679 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544092541.679 * [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))))))) 1544092541.679 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092541.679 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.682 * * [misc]simplify: iters left: 5 (12 enodes) 1544092541.685 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092541.685 * [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)))))) 1544092541.685 * * * * [misc]progress: [ 237 / 301 ] simplifiying candidate # 1544092541.686 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1544092541.686 * * [misc]simplify: iters left: 5 (7 enodes) 1544092541.688 * * [misc]simplify: iters left: 4 (11 enodes) 1544092541.691 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1544092541.691 * [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))))))) 1544092541.691 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092541.691 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.694 * * [misc]simplify: iters left: 5 (12 enodes) 1544092541.697 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1544092541.697 * [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)))))) 1544092541.697 * * * * [misc]progress: [ 238 / 301 ] simplifiying candidate # 1544092541.697 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1544092541.698 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.700 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.704 * * [misc]simplify: iters left: 4 (16 enodes) 1544092541.708 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1544092541.708 * [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))))))) 1544092541.708 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092541.708 * * [misc]simplify: iters left: 6 (8 enodes) 1544092541.711 * * [misc]simplify: iters left: 5 (10 enodes) 1544092541.714 * * [misc]simplify: iters left: 4 (13 enodes) 1544092541.717 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1544092541.717 * [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))))))) 1544092541.717 * * * * [misc]progress: [ 239 / 301 ] simplifiying candidate # 1544092541.717 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092541.717 * * [misc]simplify: iters left: 6 (12 enodes) 1544092541.721 * * [misc]simplify: iters left: 5 (19 enodes) 1544092541.726 * * [misc]simplify: iters left: 4 (22 enodes) 1544092541.732 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092541.732 * [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)))))))) 1544092541.732 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.733 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.736 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.740 * * [misc]simplify: iters left: 4 (17 enodes) 1544092541.744 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.744 * [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)))))))) 1544092541.744 * * * * [misc]progress: [ 240 / 301 ] simplifiying candidate # 1544092541.745 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.745 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.748 * * [misc]simplify: iters left: 5 (16 enodes) 1544092541.752 * * [misc]simplify: iters left: 4 (19 enodes) 1544092541.757 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1544092541.757 * [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)))))))) 1544092541.758 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.758 * * [misc]simplify: iters left: 6 (11 enodes) 1544092541.761 * * [misc]simplify: iters left: 5 (14 enodes) 1544092541.765 * * [misc]simplify: iters left: 4 (17 enodes) 1544092541.773 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1544092541.773 * [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)))))))) 1544092541.773 * * * * [misc]progress: [ 241 / 301 ] simplifiying candidate # 1544092541.773 * [enter]simplify: Simplifying (/ 1 1) 1544092541.773 * * [misc]simplify: iters left: 2 (2 enodes) 1544092541.774 * * [misc]simplify: iters left: 1 (4 enodes) 1544092541.775 * [exit]simplify: Simplified to 1 1544092541.775 * [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))))))) 1544092541.775 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.775 * * [misc]simplify: iters left: 6 (10 enodes) 1544092541.778 * * [misc]simplify: iters left: 5 (13 enodes) 1544092541.781 * * [misc]simplify: iters left: 4 (16 enodes) 1544092541.786 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.786 * [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))))))) 1544092541.786 * * * * [misc]progress: [ 242 / 301 ] simplifiying candidate # 1544092541.786 * * * * [misc]progress: [ 243 / 301 ] simplifiying candidate # 1544092541.786 * * * * [misc]progress: [ 244 / 301 ] simplifiying candidate # 1544092541.786 * * * * [misc]progress: [ 245 / 301 ] simplifiying candidate # 1544092541.786 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092541.786 * * [misc]simplify: iters left: 5 (7 enodes) 1544092541.788 * * [misc]simplify: iters left: 4 (10 enodes) 1544092541.791 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092541.791 * [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)))))) 1544092541.791 * * * * [misc]progress: [ 246 / 301 ] simplifiying candidate # 1544092541.791 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092541.792 * * [misc]simplify: iters left: 5 (7 enodes) 1544092541.794 * * [misc]simplify: iters left: 4 (10 enodes) 1544092541.796 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092541.796 * [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)))))) 1544092541.796 * * * * [misc]progress: [ 247 / 301 ] simplifiying candidate # 1544092541.797 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1544092541.797 * * [misc]simplify: iters left: 5 (6 enodes) 1544092541.799 * * [misc]simplify: iters left: 4 (8 enodes) 1544092541.801 * * [misc]simplify: iters left: 3 (11 enodes) 1544092541.804 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1544092541.804 * [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)))))) 1544092541.804 * * * * [misc]progress: [ 248 / 301 ] simplifiying candidate # 1544092541.804 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.805 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.807 * * [misc]simplify: iters left: 5 (12 enodes) 1544092541.810 * * [misc]simplify: iters left: 4 (15 enodes) 1544092541.814 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.814 * [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))))))) 1544092541.815 * * * * [misc]progress: [ 249 / 301 ] simplifiying candidate # 1544092541.815 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.815 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.817 * * [misc]simplify: iters left: 5 (12 enodes) 1544092541.821 * * [misc]simplify: iters left: 4 (15 enodes) 1544092541.825 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1544092541.825 * [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))))))) 1544092541.825 * * * * [misc]progress: [ 250 / 301 ] simplifiying candidate # 1544092541.825 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1544092541.825 * * [misc]simplify: iters left: 5 (8 enodes) 1544092541.828 * * [misc]simplify: iters left: 4 (11 enodes) 1544092541.831 * * [misc]simplify: iters left: 3 (14 enodes) 1544092541.834 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1544092541.834 * [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)))))) 1544092541.834 * * * * [misc]progress: [ 251 / 301 ] simplifiying candidate # 1544092541.835 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092541.835 * * [misc]simplify: iters left: 4 (4 enodes) 1544092541.836 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1544092541.836 * [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)))))) 1544092541.836 * * * * [misc]progress: [ 252 / 301 ] simplifiying candidate # 1544092541.836 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544092541.836 * * [misc]simplify: iters left: 2 (3 enodes) 1544092541.837 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092541.837 * [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)))))) 1544092541.837 * * * * [misc]progress: [ 253 / 301 ] simplifiying candidate # 1544092541.837 * * * * [misc]progress: [ 254 / 301 ] simplifiying candidate # 1544092541.837 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092541.837 * * [misc]simplify: iters left: 3 (6 enodes) 1544092541.839 * * [misc]simplify: iters left: 2 (7 enodes) 1544092541.841 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092541.841 * [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))))) 1544092541.841 * * * * [misc]progress: [ 255 / 301 ] simplifiying candidate # 1544092541.841 * * * * [misc]progress: [ 256 / 301 ] simplifiying candidate # 1544092541.841 * * * * [misc]progress: [ 257 / 301 ] simplifiying candidate # 1544092541.842 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1544092541.842 * * [misc]simplify: iters left: 6 (9 enodes) 1544092541.845 * * [misc]simplify: iters left: 5 (16 enodes) 1544092541.850 * * [misc]simplify: iters left: 4 (32 enodes) 1544092541.862 * * [misc]simplify: iters left: 3 (72 enodes) 1544092541.889 * * [misc]simplify: iters left: 2 (195 enodes) 1544092541.960 * * [misc]simplify: iters left: 1 (418 enodes) 1544092542.107 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1544092542.107 * [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))))))) 1544092542.107 * * * * [misc]progress: [ 258 / 301 ] simplifiying candidate # 1544092542.107 * * * * [misc]progress: [ 259 / 301 ] simplifiying candidate # 1544092542.107 * [enter]simplify: Simplifying (* n 2) 1544092542.107 * * [misc]simplify: iters left: 2 (3 enodes) 1544092542.108 * * [misc]simplify: iters left: 1 (4 enodes) 1544092542.108 * [exit]simplify: Simplified to (* n 2) 1544092542.108 * [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))))))) 1544092542.108 * * * * [misc]progress: [ 260 / 301 ] simplifiying candidate # 1544092542.108 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092542.108 * * [misc]simplify: iters left: 3 (6 enodes) 1544092542.109 * * [misc]simplify: iters left: 2 (7 enodes) 1544092542.110 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092542.111 * [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)))))) 1544092542.111 * * * * [misc]progress: [ 261 / 301 ] simplifiying candidate # 1544092542.111 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1544092542.111 * * [misc]simplify: iters left: 5 (6 enodes) 1544092542.112 * * [misc]simplify: iters left: 4 (8 enodes) 1544092542.113 * * [misc]simplify: iters left: 3 (11 enodes) 1544092542.114 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1544092542.114 * [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))))))) 1544092542.114 * * * * [misc]progress: [ 262 / 301 ] simplifiying candidate # 1544092542.115 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1544092542.115 * * [misc]simplify: iters left: 5 (6 enodes) 1544092542.116 * * [misc]simplify: iters left: 4 (8 enodes) 1544092542.117 * * [misc]simplify: iters left: 3 (11 enodes) 1544092542.118 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1544092542.118 * [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))))))) 1544092542.119 * * * * [misc]progress: [ 263 / 301 ] simplifiying candidate # 1544092542.119 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1544092542.119 * * [misc]simplify: iters left: 4 (5 enodes) 1544092542.119 * * [misc]simplify: iters left: 3 (7 enodes) 1544092542.121 * * [misc]simplify: iters left: 2 (10 enodes) 1544092542.122 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1544092542.122 * [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)))))) 1544092542.122 * * * * [misc]progress: [ 264 / 301 ] simplifiying candidate # 1544092542.122 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092542.122 * * [misc]simplify: iters left: 5 (7 enodes) 1544092542.123 * * [misc]simplify: iters left: 4 (10 enodes) 1544092542.127 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092542.127 * [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))))))) 1544092542.127 * * * * [misc]progress: [ 265 / 301 ] simplifiying candidate # 1544092542.127 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092542.127 * * [misc]simplify: iters left: 5 (7 enodes) 1544092542.128 * * [misc]simplify: iters left: 4 (10 enodes) 1544092542.130 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092542.130 * [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))))))) 1544092542.130 * * * * [misc]progress: [ 266 / 301 ] simplifiying candidate # 1544092542.130 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1544092542.130 * * [misc]simplify: iters left: 5 (7 enodes) 1544092542.131 * * [misc]simplify: iters left: 4 (9 enodes) 1544092542.132 * * [misc]simplify: iters left: 3 (12 enodes) 1544092542.134 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1544092542.134 * [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))))))) 1544092542.134 * * * * [misc]progress: [ 267 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 268 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 269 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 270 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 271 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 272 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 273 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 274 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 275 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 276 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 277 / 301 ] simplifiying candidate # 1544092542.134 * * * * [misc]progress: [ 278 / 301 ] simplifiying candidate # 1544092542.135 * [enter]simplify: Simplifying (exp (log PI)) 1544092542.135 * * [misc]simplify: iters left: 2 (3 enodes) 1544092542.135 * [exit]simplify: Simplified to PI 1544092542.135 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.135 * * * * [misc]progress: [ 279 / 301 ] simplifiying candidate # 1544092542.135 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092542.135 * * [misc]simplify: iters left: 4 (5 enodes) 1544092542.136 * * [misc]simplify: iters left: 3 (9 enodes) 1544092542.137 * * [misc]simplify: iters left: 2 (11 enodes) 1544092542.139 * * [misc]simplify: iters left: 1 (13 enodes) 1544092542.141 * [exit]simplify: Simplified to (sqrt PI) 1544092542.141 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (log PI) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.141 * * * * [misc]progress: [ 280 / 301 ] simplifiying candidate # 1544092542.141 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092542.141 * * [misc]simplify: iters left: 4 (5 enodes) 1544092542.142 * * [misc]simplify: iters left: 3 (9 enodes) 1544092542.143 * * [misc]simplify: iters left: 2 (11 enodes) 1544092542.146 * * [misc]simplify: iters left: 1 (13 enodes) 1544092542.148 * [exit]simplify: Simplified to (sqrt PI) 1544092542.149 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (log PI) (- (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.149 * * * * [misc]progress: [ 281 / 301 ] simplifiying candidate # 1544092542.149 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092542.149 * * [misc]simplify: iters left: 4 (5 enodes) 1544092542.151 * * [misc]simplify: iters left: 3 (8 enodes) 1544092542.153 * * [misc]simplify: iters left: 2 (9 enodes) 1544092542.156 * * [misc]simplify: iters left: 1 (12 enodes) 1544092542.158 * [exit]simplify: Simplified to (sqrt PI) 1544092542.158 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.158 * * * * [misc]progress: [ 282 / 301 ] simplifiying candidate # 1544092542.158 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092542.158 * * [misc]simplify: iters left: 4 (5 enodes) 1544092542.159 * * [misc]simplify: iters left: 3 (8 enodes) 1544092542.160 * * [misc]simplify: iters left: 2 (9 enodes) 1544092542.162 * * [misc]simplify: iters left: 1 (12 enodes) 1544092542.164 * [exit]simplify: Simplified to (sqrt PI) 1544092542.164 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (* (sqrt PI) (exp (* (- (/ k 2)) (log PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.164 * * * * [misc]progress: [ 283 / 301 ] simplifiying candidate # 1544092542.164 * [enter]simplify: Simplifying (* (log PI) (- 1/2 (/ k 2))) 1544092542.164 * * [misc]simplify: iters left: 6 (8 enodes) 1544092542.165 * * [misc]simplify: iters left: 5 (11 enodes) 1544092542.167 * * [misc]simplify: iters left: 4 (20 enodes) 1544092542.170 * * [misc]simplify: iters left: 3 (32 enodes) 1544092542.175 * * [misc]simplify: iters left: 2 (49 enodes) 1544092542.182 * * [misc]simplify: iters left: 1 (59 enodes) 1544092542.188 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log PI)) 1544092542.188 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092542.188 * * * * [misc]progress: [ 284 / 301 ] simplifiying candidate # 1544092542.188 * * * * [misc]progress: [ 285 / 301 ] simplifiying candidate # 1544092542.189 * * * * [misc]progress: [ 286 / 301 ] simplifiying candidate # 1544092542.189 * * * * [misc]progress: [ 287 / 301 ] simplifiying candidate # 1544092542.189 * * * * [misc]progress: [ 288 / 301 ] simplifiying candidate # 1544092542.189 * * * * [misc]progress: [ 289 / 301 ] simplifiying candidate # 1544092542.189 * * * * [misc]progress: [ 290 / 301 ] simplifiying candidate # 1544092542.189 * [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))))))))))))))) 1544092542.189 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092542.189 * * * * [misc]progress: [ 291 / 301 ] simplifiying candidate # 1544092542.189 * [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)))))))) 1544092542.189 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092542.189 * * * * [misc]progress: [ 292 / 301 ] simplifiying candidate # 1544092542.189 * [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)))))))) 1544092542.189 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092542.189 * * * * [misc]progress: [ 293 / 301 ] simplifiying candidate # 1544092542.190 * [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)))))))))))) 1544092542.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092542.190 * * * * [misc]progress: [ 294 / 301 ] simplifiying candidate # 1544092542.190 * [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))))))))))) 1544092542.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092542.190 * * * * [misc]progress: [ 295 / 301 ] simplifiying candidate # 1544092542.190 * [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))))))))) 1544092542.190 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092542.190 * * * * [misc]progress: [ 296 / 301 ] simplifiying candidate # 1544092542.190 * [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))))) 1544092542.190 * * [misc]simplify: iters left: 6 (35 enodes) 1544092542.198 * * [misc]simplify: iters left: 5 (102 enodes) 1544092542.221 * * [misc]simplify: iters left: 4 (321 enodes) 1544092542.399 * [exit]simplify: Simplified to (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n)))))) 1544092542.399 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (fma (log 2) (* 1/4 (* (* (pow 2 1/2) (pow n 1/2)) (* (* k k) (log n)))) (* (* (* (log 2) (log 2)) 1/8) (* (* k k) (* (pow 2 1/2) (pow n 1/2))))) (- (fma (* (pow 2 1/2) (pow n 1/2)) (* (* k (* k 1/8)) (* (log n) (log n))) (* (pow 2 1/2) (pow n 1/2))) (* (* 1/2 k) (* (* (pow 2 1/2) (pow n 1/2)) (+ (log 2) (log n))))))))) 1544092542.399 * * * * [misc]progress: [ 297 / 301 ] simplifiying candidate # 1544092542.400 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1544092542.400 * * [misc]simplify: iters left: 6 (13 enodes) 1544092542.405 * * [misc]simplify: iters left: 5 (27 enodes) 1544092542.414 * * [misc]simplify: iters left: 4 (53 enodes) 1544092542.426 * * [misc]simplify: iters left: 3 (124 enodes) 1544092542.477 * * [misc]simplify: iters left: 2 (394 enodes) 1544092542.940 * [exit]simplify: Simplified to (pow (* n 2) (fma -1/2 k 1/2)) 1544092542.940 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (fma -1/2 k 1/2))))) 1544092542.940 * * * * [misc]progress: [ 298 / 301 ] simplifiying candidate # 1544092542.940 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1544092542.941 * * [misc]simplify: iters left: 6 (13 enodes) 1544092542.945 * * [misc]simplify: iters left: 5 (24 enodes) 1544092542.949 * * [misc]simplify: iters left: 4 (54 enodes) 1544092542.960 * * [misc]simplify: iters left: 3 (151 enodes) 1544092543.043 * [exit]simplify: Simplified to (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n)))) 1544092543.043 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (fma (fma -1/2 k 1/2) (- (log -2) (log -1)) (* (fma -1/2 k 1/2) (log n))))))) 1544092543.043 * * * * [misc]progress: [ 299 / 301 ] simplifiying candidate # 1544092543.043 * [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)))) 1544092543.044 * * [misc]simplify: iters left: 6 (18 enodes) 1544092543.047 * * [misc]simplify: iters left: 5 (39 enodes) 1544092543.056 * * [misc]simplify: iters left: 4 (110 enodes) 1544092543.096 * * [misc]simplify: iters left: 3 (321 enodes) 1544092543.321 * [exit]simplify: Simplified to (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) 1544092543.321 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (fma (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8) (fma (* k (log PI)) (* -1/2 (sqrt PI)) (sqrt PI))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092543.321 * * * * [misc]progress: [ 300 / 301 ] simplifiying candidate # 1544092543.322 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544092543.322 * * [misc]simplify: iters left: 5 (6 enodes) 1544092543.324 * * [misc]simplify: iters left: 4 (9 enodes) 1544092543.327 * * [misc]simplify: iters left: 3 (17 enodes) 1544092543.332 * * [misc]simplify: iters left: 2 (24 enodes) 1544092543.337 * * [misc]simplify: iters left: 1 (28 enodes) 1544092543.349 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544092543.349 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092543.349 * * * * [misc]progress: [ 301 / 301 ] simplifiying candidate # 1544092543.350 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1544092543.350 * * [misc]simplify: iters left: 5 (6 enodes) 1544092543.352 * * [misc]simplify: iters left: 4 (9 enodes) 1544092543.355 * * [misc]simplify: iters left: 3 (17 enodes) 1544092543.359 * * [misc]simplify: iters left: 2 (24 enodes) 1544092543.365 * * [misc]simplify: iters left: 1 (28 enodes) 1544092543.372 * [exit]simplify: Simplified to (pow PI (fma k -1/2 1/2)) 1544092543.372 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (fma k -1/2 1/2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1544092543.372 * * * [misc]progress: adding candidates to table 1544092547.770 * * [misc]progress: iteration 4 / 4 1544092547.770 * * * [misc]progress: picking best candidate 1544092547.800 * * * * [misc]pick: Picked # 1544092547.800 * * * [misc]progress: localizing error 1544092547.832 * * * [misc]progress: generating rewritten candidates 1544092547.832 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) 1544092547.843 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1544092547.863 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2) 1544092547.894 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 2 1) 1544092547.895 * * * [misc]progress: generating series expansions 1544092547.895 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) 1544092547.895 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt k)) (sqrt (* n 2))) into (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) 1544092547.895 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in (k n) around 0 1544092547.895 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in n 1544092547.895 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544092547.895 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092547.895 * [misc]taylor: Taking taylor expansion of 2 in n 1544092547.895 * [misc]backup-simplify: Simplify 2 into 2 1544092547.895 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.896 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.896 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.896 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of n in n 1544092547.896 * [misc]backup-simplify: Simplify 0 into 0 1544092547.896 * [misc]backup-simplify: Simplify 1 into 1 1544092547.896 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092547.896 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092547.896 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092547.896 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544092547.896 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544092547.897 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.897 * [misc]taylor: Taking taylor expansion of (log k) in n 1544092547.897 * [misc]taylor: Taking taylor expansion of k in n 1544092547.897 * [misc]backup-simplify: Simplify k into k 1544092547.897 * [misc]backup-simplify: Simplify (log k) into (log k) 1544092547.897 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092547.897 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092547.897 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of 2 in k 1544092547.897 * [misc]backup-simplify: Simplify 2 into 2 1544092547.897 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.897 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.897 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544092547.897 * [misc]taylor: Taking taylor expansion of n in k 1544092547.897 * [misc]backup-simplify: Simplify n into n 1544092547.897 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092547.897 * [misc]backup-simplify: Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n)) 1544092547.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1544092547.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0 1544092547.898 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092547.898 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.898 * [misc]taylor: Taking taylor expansion of (log k) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of k in k 1544092547.898 * [misc]backup-simplify: Simplify 0 into 0 1544092547.898 * [misc]backup-simplify: Simplify 1 into 1 1544092547.898 * [misc]backup-simplify: Simplify (log 1) into 0 1544092547.898 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092547.898 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092547.898 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092547.898 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092547.898 * [misc]taylor: Taking taylor expansion of 2 in k 1544092547.898 * [misc]backup-simplify: Simplify 2 into 2 1544092547.898 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.898 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.899 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.899 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of (/ 1 n) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of n in k 1544092547.899 * [misc]backup-simplify: Simplify n into n 1544092547.899 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092547.899 * [misc]backup-simplify: Simplify (sqrt (/ 1 n)) into (sqrt (/ 1 n)) 1544092547.899 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)))) into 0 1544092547.899 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 n)))) into 0 1544092547.899 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092547.899 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.899 * [misc]taylor: Taking taylor expansion of (log k) in k 1544092547.899 * [misc]taylor: Taking taylor expansion of k in k 1544092547.899 * [misc]backup-simplify: Simplify 0 into 0 1544092547.899 * [misc]backup-simplify: Simplify 1 into 1 1544092547.899 * [misc]backup-simplify: Simplify (log 1) into 0 1544092547.899 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092547.899 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092547.899 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092547.900 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 n)) (pow k 1/4)) into (* (sqrt (/ 1 n)) (pow k 1/4)) 1544092547.900 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) into (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) 1544092547.900 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt (/ 1 n)) (pow k 1/4))) in n 1544092547.900 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544092547.900 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092547.900 * [misc]taylor: Taking taylor expansion of 2 in n 1544092547.900 * [misc]backup-simplify: Simplify 2 into 2 1544092547.900 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.901 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.901 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.901 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (pow k 1/4)) in n 1544092547.901 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1544092547.901 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1544092547.901 * [misc]taylor: Taking taylor expansion of n in n 1544092547.901 * [misc]backup-simplify: Simplify 0 into 0 1544092547.901 * [misc]backup-simplify: Simplify 1 into 1 1544092547.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092547.901 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092547.902 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092547.902 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in n 1544092547.902 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in n 1544092547.902 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in n 1544092547.902 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544092547.902 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.902 * [misc]taylor: Taking taylor expansion of (log k) in n 1544092547.902 * [misc]taylor: Taking taylor expansion of k in n 1544092547.902 * [misc]backup-simplify: Simplify k into k 1544092547.902 * [misc]backup-simplify: Simplify (log k) into (log k) 1544092547.902 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092547.902 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092547.902 * [misc]backup-simplify: Simplify (* 0 (pow k 1/4)) into 0 1544092547.902 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544092547.903 * [misc]backup-simplify: Simplify 0 into 0 1544092547.905 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544092547.905 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092547.905 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544092547.906 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092547.906 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (* 0 (pow k 1/4))) into 0 1544092547.907 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092547.907 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4)))) into 0 1544092547.907 * [misc]taylor: Taking taylor expansion of 0 in n 1544092547.907 * [misc]backup-simplify: Simplify 0 into 0 1544092547.908 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow k 1)))) 1) into 0 1544092547.908 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544092547.909 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092547.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow k 1/4))) into (- (* +nan.0 (pow k 1/4))) 1544092547.910 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092547.910 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.911 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.919 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544092547.919 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092547.919 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544092547.921 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092547.921 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544092547.922 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 n)))) into 0 1544092547.922 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (* 0 (pow k 1/4)))) into 0 1544092547.924 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092547.924 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.925 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4))))) into 0 1544092547.925 * [misc]taylor: Taking taylor expansion of 0 in n 1544092547.925 * [misc]backup-simplify: Simplify 0 into 0 1544092547.925 * [misc]backup-simplify: Simplify 0 into 0 1544092547.926 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow k 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow k 1)))) 2) into 0 1544092547.927 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544092547.928 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092547.929 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092547.930 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092547.930 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow k 1/4)))) into (- (* +nan.0 (pow k 1/4))) 1544092547.931 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092547.932 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.932 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.933 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.939 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544092547.940 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092547.940 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544092547.943 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092547.944 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544092547.944 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 n)))) into 0 1544092547.944 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 n)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k 1/4))))) into 0 1544092547.945 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092547.945 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.946 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 n)) (pow k 1/4)))))) into 0 1544092547.946 * [misc]taylor: Taking taylor expansion of 0 in n 1544092547.946 * [misc]backup-simplify: Simplify 0 into 0 1544092547.946 * [misc]backup-simplify: Simplify 0 into 0 1544092547.946 * [misc]backup-simplify: Simplify 0 into 0 1544092547.949 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow k 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow k 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow k 1)))) 6) into 0 1544092547.949 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544092547.952 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092547.952 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092547.953 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092547.954 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow k 1/4))))) into (- (* +nan.0 (pow k 1/4))) 1544092547.954 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092547.955 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.956 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (+ (* 0 (- (* +nan.0 (pow k 1/4)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.956 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) 1544092547.958 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) (pow (* n 1) 2)) (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))) (* n 1)) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))) into (- (+ (* +nan.0 (* (/ (pow n 2) (sqrt 2)) (pow k 1/4))) (- (+ (* +nan.0 (* (/ n (sqrt 2)) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))))) 1544092547.958 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) into (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) 1544092547.958 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in (k n) around 0 1544092547.958 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in n 1544092547.958 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544092547.958 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092547.958 * [misc]taylor: Taking taylor expansion of 2 in n 1544092547.958 * [misc]backup-simplify: Simplify 2 into 2 1544092547.959 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.959 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.959 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.959 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in n 1544092547.959 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1544092547.959 * [misc]taylor: Taking taylor expansion of n in n 1544092547.959 * [misc]backup-simplify: Simplify 0 into 0 1544092547.959 * [misc]backup-simplify: Simplify 1 into 1 1544092547.959 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092547.960 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092547.960 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544092547.960 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544092547.960 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544092547.960 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544092547.960 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.960 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544092547.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092547.960 * [misc]taylor: Taking taylor expansion of k in n 1544092547.960 * [misc]backup-simplify: Simplify k into k 1544092547.960 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092547.960 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544092547.960 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544092547.961 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544092547.961 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in k 1544092547.961 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544092547.961 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092547.961 * [misc]taylor: Taking taylor expansion of 2 in k 1544092547.961 * [misc]backup-simplify: Simplify 2 into 2 1544092547.961 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.961 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.961 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.961 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in k 1544092547.961 * [misc]taylor: Taking taylor expansion of (sqrt n) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of n in k 1544092547.962 * [misc]backup-simplify: Simplify n into n 1544092547.962 * [misc]backup-simplify: Simplify (sqrt n) into (sqrt n) 1544092547.962 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt n))) into 0 1544092547.962 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092547.962 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.962 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092547.962 * [misc]taylor: Taking taylor expansion of k in k 1544092547.962 * [misc]backup-simplify: Simplify 0 into 0 1544092547.962 * [misc]backup-simplify: Simplify 1 into 1 1544092547.962 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092547.962 * [misc]backup-simplify: Simplify (log 1) into 0 1544092547.962 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092547.963 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544092547.963 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544092547.963 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in k 1544092547.963 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in k 1544092547.963 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092547.963 * [misc]taylor: Taking taylor expansion of 2 in k 1544092547.963 * [misc]backup-simplify: Simplify 2 into 2 1544092547.963 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.963 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.963 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.963 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of (sqrt n) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of n in k 1544092547.964 * [misc]backup-simplify: Simplify n into n 1544092547.964 * [misc]backup-simplify: Simplify (sqrt n) into (sqrt n) 1544092547.964 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt n))) into 0 1544092547.964 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092547.964 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.964 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092547.964 * [misc]taylor: Taking taylor expansion of k in k 1544092547.964 * [misc]backup-simplify: Simplify 0 into 0 1544092547.964 * [misc]backup-simplify: Simplify 1 into 1 1544092547.964 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092547.964 * [misc]backup-simplify: Simplify (log 1) into 0 1544092547.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092547.965 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544092547.965 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544092547.965 * [misc]backup-simplify: Simplify (* (sqrt n) (pow k -1/4)) into (* (sqrt n) (pow (/ 1 k) 1/4)) 1544092547.965 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) into (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) 1544092547.965 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (* (sqrt n) (pow (/ 1 k) 1/4))) in n 1544092547.965 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1544092547.965 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092547.965 * [misc]taylor: Taking taylor expansion of 2 in n 1544092547.965 * [misc]backup-simplify: Simplify 2 into 2 1544092547.966 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092547.966 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092547.966 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092547.966 * [misc]taylor: Taking taylor expansion of (* (sqrt n) (pow (/ 1 k) 1/4)) in n 1544092547.966 * [misc]taylor: Taking taylor expansion of (sqrt n) in n 1544092547.966 * [misc]taylor: Taking taylor expansion of n in n 1544092547.966 * [misc]backup-simplify: Simplify 0 into 0 1544092547.966 * [misc]backup-simplify: Simplify 1 into 1 1544092547.966 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092547.967 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1544092547.967 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in n 1544092547.967 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in n 1544092547.967 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in n 1544092547.967 * [misc]taylor: Taking taylor expansion of 1/4 in n 1544092547.967 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092547.967 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in n 1544092547.967 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092547.967 * [misc]taylor: Taking taylor expansion of k in n 1544092547.968 * [misc]backup-simplify: Simplify k into k 1544092547.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092547.968 * [misc]backup-simplify: Simplify (log (/ 1 k)) into (log (/ 1 k)) 1544092547.968 * [misc]backup-simplify: Simplify (* 1/4 (log (/ 1 k))) into (* 1/4 (log (/ 1 k))) 1544092547.968 * [misc]backup-simplify: Simplify (exp (* 1/4 (log (/ 1 k)))) into (pow (/ 1 k) 1/4) 1544092547.968 * [misc]backup-simplify: Simplify (* 0 (pow (/ 1 k) 1/4)) into 0 1544092547.968 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544092547.969 * [misc]backup-simplify: Simplify 0 into 0 1544092547.969 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092547.971 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544092547.971 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092547.972 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1544092547.973 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092547.973 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (* 0 (pow k -1/4))) into 0 1544092547.973 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092547.974 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4)))) into 0 1544092547.974 * [misc]taylor: Taking taylor expansion of 0 in n 1544092547.974 * [misc]backup-simplify: Simplify 0 into 0 1544092547.974 * [misc]backup-simplify: Simplify 0 into 0 1544092547.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092547.975 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 k) 1)))) 1) into 0 1544092547.975 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log (/ 1 k)))) into 0 1544092547.976 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092547.976 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (/ 1 k) 1/4))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544092547.977 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092547.977 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092547.978 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092547.978 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092547.982 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544092547.983 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092547.983 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1544092547.985 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092547.985 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt n))) into 0 1544092547.986 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (+ (* 0 0) (* 0 (pow k -1/4)))) into 0 1544092547.987 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092547.987 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.988 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4))))) into 0 1544092547.988 * [misc]taylor: Taking taylor expansion of 0 in n 1544092547.988 * [misc]backup-simplify: Simplify 0 into 0 1544092547.988 * [misc]backup-simplify: Simplify 0 into 0 1544092547.988 * [misc]backup-simplify: Simplify 0 into 0 1544092547.988 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092547.990 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 k) 1)))) 2) into 0 1544092547.990 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log (/ 1 k))))) into 0 1544092547.992 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092547.993 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092547.993 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544092547.994 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092547.995 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092547.996 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092547.996 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092547.997 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.003 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544092548.003 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.004 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1544092548.005 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.006 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt n))) into 0 1544092548.006 * [misc]backup-simplify: Simplify (+ (* (sqrt n) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow k -1/4))))) into 0 1544092548.006 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.006 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092548.007 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* (sqrt n) (pow (/ 1 k) 1/4)))))) into 0 1544092548.007 * [misc]taylor: Taking taylor expansion of 0 in n 1544092548.007 * [misc]backup-simplify: Simplify 0 into 0 1544092548.007 * [misc]backup-simplify: Simplify 0 into 0 1544092548.007 * [misc]backup-simplify: Simplify 0 into 0 1544092548.007 * [misc]backup-simplify: Simplify 0 into 0 1544092548.007 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.009 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 k) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 k) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 k) 1)))) 6) into 0 1544092548.009 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 k)))))) into 0 1544092548.011 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log (/ 1 k)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.012 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092548.012 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (/ 1 k) 1/4))))) into (- (* +nan.0 (pow (/ 1 k) 1/4))) 1544092548.012 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.012 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092548.013 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (+ (* 0 (- (* +nan.0 (pow (/ 1 k) 1/4)))) (* 0 0)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092548.013 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 k) 1/4)))) 1544092548.015 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (pow (* (/ 1 n) 1) 3)) (+ (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (pow (* (/ 1 n) 1) 2)) (* (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow (/ 1 (/ 1 k)) 1/4)))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 3))) (pow k 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 2))) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (* (sqrt 2) n)) (pow k 1/4)))))))) 1544092548.015 * [misc]backup-simplify: Simplify (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) into (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) 1544092548.015 * [misc]approximate: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in (k n) around 0 1544092548.015 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in n 1544092548.015 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in n 1544092548.015 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.015 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.015 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.015 * [misc]backup-simplify: Simplify -2 into -2 1544092548.015 * [misc]taylor: Taking taylor expansion of n in n 1544092548.015 * [misc]backup-simplify: Simplify 0 into 0 1544092548.015 * [misc]backup-simplify: Simplify 1 into 1 1544092548.015 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.015 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.016 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.016 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 1544092548.016 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in n 1544092548.016 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092548.016 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092548.016 * [misc]taylor: Taking taylor expansion of -1 in n 1544092548.016 * [misc]backup-simplify: Simplify -1 into -1 1544092548.016 * [misc]taylor: Taking taylor expansion of k in n 1544092548.016 * [misc]backup-simplify: Simplify k into k 1544092548.016 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092548.016 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092548.016 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092548.016 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092548.016 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ -1 k))) into (sqrt (sqrt (/ -1 k))) 1544092548.016 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (sqrt (/ -1 k))))) into 0 1544092548.016 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in k 1544092548.016 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in k 1544092548.016 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.016 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.016 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.016 * [misc]backup-simplify: Simplify -2 into -2 1544092548.016 * [misc]taylor: Taking taylor expansion of n in k 1544092548.016 * [misc]backup-simplify: Simplify n into n 1544092548.016 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.016 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.016 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.017 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.017 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -2 n))) into (/ 1 (sqrt (/ -2 n))) 1544092548.017 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544092548.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.017 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.017 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.017 * [misc]backup-simplify: Simplify -1 into -1 1544092548.017 * [misc]taylor: Taking taylor expansion of k in k 1544092548.017 * [misc]backup-simplify: Simplify 0 into 0 1544092548.017 * [misc]backup-simplify: Simplify 1 into 1 1544092548.017 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.017 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.017 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.017 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.017 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.018 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.018 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.018 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt (/ -2 n))) (sqrt (sqrt (/ -1 k)))) in k 1544092548.018 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt (/ -2 n))) in k 1544092548.018 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.018 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.018 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.019 * [misc]backup-simplify: Simplify -2 into -2 1544092548.019 * [misc]taylor: Taking taylor expansion of n in k 1544092548.019 * [misc]backup-simplify: Simplify n into n 1544092548.019 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.019 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.019 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.019 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.019 * [misc]backup-simplify: Simplify (/ 1 (sqrt (/ -2 n))) into (/ 1 (sqrt (/ -2 n))) 1544092548.019 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544092548.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.019 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.019 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.019 * [misc]backup-simplify: Simplify -1 into -1 1544092548.019 * [misc]taylor: Taking taylor expansion of k in k 1544092548.019 * [misc]backup-simplify: Simplify 0 into 0 1544092548.019 * [misc]backup-simplify: Simplify 1 into 1 1544092548.019 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.019 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.019 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.020 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.020 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.020 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.021 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.021 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt (/ -2 n))) (sqrt +nan.0)) into (/ (sqrt +nan.0) (sqrt (/ -2 n))) 1544092548.021 * [misc]taylor: Taking taylor expansion of (/ (sqrt +nan.0) (sqrt (/ -2 n))) in n 1544092548.021 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1544092548.021 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.021 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.021 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.021 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1544092548.021 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.021 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.021 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.021 * [misc]backup-simplify: Simplify -2 into -2 1544092548.021 * [misc]taylor: Taking taylor expansion of n in n 1544092548.021 * [misc]backup-simplify: Simplify 0 into 0 1544092548.021 * [misc]backup-simplify: Simplify 1 into 1 1544092548.021 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.021 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.022 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.022 * [misc]backup-simplify: Simplify (/ (sqrt +nan.0) +nan.0) into (* +nan.0 (sqrt +nan.0)) 1544092548.022 * [misc]backup-simplify: Simplify (* +nan.0 (sqrt +nan.0)) into (* +nan.0 (sqrt +nan.0)) 1544092548.022 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt (/ -2 n))) (/ 0 (sqrt (/ -2 n)))))) into 0 1544092548.023 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt (/ -2 n))) (/ +nan.0 (sqrt +nan.0))) (* 0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))))) 1544092548.023 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))))) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0)))) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.023 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.023 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -2 n)) (sqrt +nan.0))) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (sqrt +nan.0)) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.023 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.023 * [misc]backup-simplify: Simplify -2 into -2 1544092548.023 * [misc]taylor: Taking taylor expansion of n in n 1544092548.023 * [misc]backup-simplify: Simplify 0 into 0 1544092548.023 * [misc]backup-simplify: Simplify 1 into 1 1544092548.023 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.023 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.024 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.024 * [misc]taylor: Taking taylor expansion of (sqrt +nan.0) in n 1544092548.024 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.024 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.024 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.024 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt +nan.0))) into 0 1544092548.024 * [misc]backup-simplify: Simplify (* 0 (sqrt +nan.0)) into 0 1544092548.025 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0))) 1544092548.025 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (sqrt +nan.0)))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.025 * [misc]backup-simplify: Simplify (* +nan.0 (/ +nan.0 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.026 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 1544092548.026 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt +nan.0)))) into (- (* +nan.0 (/ 1 (sqrt +nan.0)))) 1544092548.026 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.027 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.028 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (sqrt +nan.0)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (sqrt +nan.0))) 1544092548.028 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt +nan.0))) into (- (* +nan.0 (sqrt +nan.0))) 1544092548.029 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (sqrt +nan.0))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (sqrt +nan.0)))) (* 1 (/ 1 (- k)))) (* +nan.0 (sqrt +nan.0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) n))))))) 1544092548.029 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1544092548.029 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) into (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) 1544092548.029 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in (k n) around 0 1544092548.029 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in n 1544092548.029 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in n 1544092548.029 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in n 1544092548.029 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.029 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.029 * [misc]backup-simplify: Simplify 2 into 2 1544092548.029 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.030 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.030 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.030 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.030 * [misc]taylor: Taking taylor expansion of k in n 1544092548.030 * [misc]backup-simplify: Simplify k into k 1544092548.030 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.030 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.030 * [misc]backup-simplify: Simplify 2 into 2 1544092548.030 * [misc]taylor: Taking taylor expansion of n in n 1544092548.030 * [misc]backup-simplify: Simplify 0 into 0 1544092548.030 * [misc]backup-simplify: Simplify 1 into 1 1544092548.030 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.030 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.030 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.030 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092548.030 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092548.031 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.031 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1544092548.031 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1544092548.031 * [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)))) 1544092548.031 * [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))))) 1544092548.031 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1544092548.031 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1544092548.031 * [misc]taylor: Taking taylor expansion of k in n 1544092548.031 * [misc]backup-simplify: Simplify k into k 1544092548.032 * [misc]taylor: Taking taylor expansion of n in n 1544092548.032 * [misc]backup-simplify: Simplify 0 into 0 1544092548.032 * [misc]backup-simplify: Simplify 1 into 1 1544092548.032 * [misc]backup-simplify: Simplify (/ k 1) into k 1544092548.032 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.032 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1544092548.032 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.032 * [misc]backup-simplify: Simplify 2 into 2 1544092548.032 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.032 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.032 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.032 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.032 * [misc]taylor: Taking taylor expansion of k in k 1544092548.032 * [misc]backup-simplify: Simplify 0 into 0 1544092548.032 * [misc]backup-simplify: Simplify 1 into 1 1544092548.032 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092548.032 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.032 * [misc]backup-simplify: Simplify 2 into 2 1544092548.032 * [misc]taylor: Taking taylor expansion of n in k 1544092548.032 * [misc]backup-simplify: Simplify n into n 1544092548.032 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092548.032 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092548.033 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.033 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.033 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544092548.033 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.033 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092548.034 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092548.034 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092548.034 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.034 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092548.034 * [misc]backup-simplify: Simplify (exp 0) into 1 1544092548.034 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544092548.034 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092548.034 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544092548.034 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544092548.034 * [misc]taylor: Taking taylor expansion of k in k 1544092548.035 * [misc]backup-simplify: Simplify 0 into 0 1544092548.035 * [misc]backup-simplify: Simplify 1 into 1 1544092548.035 * [misc]taylor: Taking taylor expansion of n in k 1544092548.035 * [misc]backup-simplify: Simplify n into n 1544092548.035 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092548.035 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.035 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544092548.035 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) (sqrt (/ k n))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k))))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (* 2 n) (- (* 1/2 k)))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.035 * [misc]backup-simplify: Simplify 2 into 2 1544092548.035 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.035 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.035 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.035 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.035 * [misc]taylor: Taking taylor expansion of k in k 1544092548.035 * [misc]backup-simplify: Simplify 0 into 0 1544092548.035 * [misc]backup-simplify: Simplify 1 into 1 1544092548.035 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092548.035 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.035 * [misc]backup-simplify: Simplify 2 into 2 1544092548.035 * [misc]taylor: Taking taylor expansion of n in k 1544092548.035 * [misc]backup-simplify: Simplify n into n 1544092548.035 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092548.036 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092548.036 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.036 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.036 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544092548.036 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.036 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092548.037 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092548.037 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092548.037 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.037 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092548.037 * [misc]backup-simplify: Simplify (exp 0) into 1 1544092548.037 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544092548.037 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092548.037 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544092548.037 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544092548.037 * [misc]taylor: Taking taylor expansion of k in k 1544092548.037 * [misc]backup-simplify: Simplify 0 into 0 1544092548.038 * [misc]backup-simplify: Simplify 1 into 1 1544092548.038 * [misc]taylor: Taking taylor expansion of n in k 1544092548.038 * [misc]backup-simplify: Simplify n into n 1544092548.038 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092548.038 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.038 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544092548.038 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1544092548.038 * [misc]taylor: Taking taylor expansion of 0 in n 1544092548.038 * [misc]backup-simplify: Simplify 0 into 0 1544092548.038 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1544092548.038 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/2 (log (* 2 n)))) (* 0 1)) into (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) 1544092548.039 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/2 (/ (log (* 2 n)) (sqrt 2))) 1544092548.039 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 n)) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) 1544092548.039 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt 2) n)))) in n 1544092548.039 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) n))) in n 1544092548.039 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.039 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.039 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) n)) in n 1544092548.039 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544092548.039 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.039 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.040 * [misc]backup-simplify: Simplify 2 into 2 1544092548.040 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.040 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.040 * [misc]taylor: Taking taylor expansion of n in n 1544092548.040 * [misc]backup-simplify: Simplify 0 into 0 1544092548.040 * [misc]backup-simplify: Simplify 1 into 1 1544092548.040 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.040 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544092548.040 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092548.041 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (sqrt 2))) into (/ +nan.0 (sqrt 2)) 1544092548.041 * [misc]backup-simplify: Simplify (- (/ +nan.0 (sqrt 2))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1544092548.042 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (sqrt 2)))) into (- (* +nan.0 (/ 1 (sqrt 2)))) 1544092548.042 * [misc]backup-simplify: Simplify 0 into 0 1544092548.042 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1544092548.042 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1544092548.042 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.042 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092548.043 * [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 1544092548.043 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.044 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.044 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.044 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092548.045 * [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)) 1544092548.046 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.046 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* 1/8 (pow (log (* 2 n)) 2))) (+ (* 0 (* -1/2 (log (* 2 n)))) (* 0 1))) into (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) 1544092548.047 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) 1544092548.048 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 2))) (+ (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ +nan.0 n)) (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) 0))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))))) 1544092548.048 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))))) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n))))) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 2)))) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.048 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.048 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 2))) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.048 * [misc]backup-simplify: Simplify 2 into 2 1544092548.048 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.048 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.048 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.048 * [misc]taylor: Taking taylor expansion of n in n 1544092548.049 * [misc]backup-simplify: Simplify 0 into 0 1544092548.049 * [misc]backup-simplify: Simplify 1 into 1 1544092548.049 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.049 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544092548.049 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092548.049 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n)))) in n 1544092548.049 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) n))) in n 1544092548.049 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.049 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.049 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (* (sqrt 2) n)) in n 1544092548.049 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.049 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.049 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.049 * [misc]backup-simplify: Simplify 2 into 2 1544092548.049 * [misc]taylor: Taking taylor expansion of n in n 1544092548.049 * [misc]backup-simplify: Simplify 0 into 0 1544092548.049 * [misc]backup-simplify: Simplify 1 into 1 1544092548.049 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.049 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.050 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.050 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544092548.050 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.050 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.050 * [misc]backup-simplify: Simplify 2 into 2 1544092548.050 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.050 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.050 * [misc]taylor: Taking taylor expansion of n in n 1544092548.050 * [misc]backup-simplify: Simplify 0 into 0 1544092548.050 * [misc]backup-simplify: Simplify 1 into 1 1544092548.050 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.050 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.051 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544092548.051 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.051 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1544092548.051 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.051 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544092548.052 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092548.052 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1544092548.052 * [misc]backup-simplify: Simplify (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2))) into (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2))) 1544092548.052 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (+ (log 2) (log n)) (sqrt 2)))) into (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) 1544092548.053 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +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)))))) 1544092548.053 * [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)))))) 1544092548.054 * [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)))))) 1544092548.055 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.055 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.055 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092548.056 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (sqrt 2)))) into 0 1544092548.056 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.056 * [misc]backup-simplify: Simplify 0 into 0 1544092548.056 * [misc]backup-simplify: Simplify 0 into 0 1544092548.056 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544092548.056 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1544092548.056 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.057 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544092548.058 * [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 1544092548.058 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.058 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.059 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092548.059 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544092548.060 * [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)) 1544092548.060 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.061 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* -1/48 (pow (log (* 2 n)) 3))) (+ (* 0 (* 1/8 (pow (log (* 2 n)) 2))) (+ (* 0 (* -1/2 (log (* 2 n)))) (* 0 1)))) into (- (* 1/48 (* (sqrt 2) (pow (log (* 2 n)) 3)))) 1544092548.062 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ (- (* 1/48 (* (sqrt 2) (pow (log (* 2 n)) 3)))) (sqrt 2))) (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ (* 1/8 (* (sqrt 2) (pow (log (* 2 n)) 2))) (sqrt 2))) (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) (/ (- (* 1/2 (* (sqrt 2) (log (* 2 n))))) (sqrt 2))))) into (* 1/48 (/ (pow (log (* 2 n)) 3) (sqrt 2))) 1544092548.063 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow n 3))) (+ (* (* 1/2 (/ (log (* 2 n)) (sqrt 2))) (/ +nan.0 (pow n 2))) (+ (* (* 1/8 (/ (pow (log (* 2 n)) 2) (sqrt 2))) (/ +nan.0 n)) (* (* 1/48 (/ (pow (log (* 2 n)) 3) (sqrt 2))) 0)))) into (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))))) 1544092548.063 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))))) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))))))) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt 2) (pow n 3)))) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.063 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.063 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow n 3))) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.063 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.063 * [misc]backup-simplify: Simplify 2 into 2 1544092548.063 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.064 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.064 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.064 * [misc]taylor: Taking taylor expansion of n in n 1544092548.064 * [misc]backup-simplify: Simplify 0 into 0 1544092548.064 * [misc]backup-simplify: Simplify 1 into 1 1544092548.064 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.064 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.064 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544092548.065 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1544092548.065 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))))) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))))) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n))) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.065 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.065 * [misc]taylor: Taking taylor expansion of (/ (pow (log (* 2 n)) 2) (* (sqrt 2) n)) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.065 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.065 * [misc]backup-simplify: Simplify 2 into 2 1544092548.065 * [misc]taylor: Taking taylor expansion of n in n 1544092548.065 * [misc]backup-simplify: Simplify 0 into 0 1544092548.065 * [misc]backup-simplify: Simplify 1 into 1 1544092548.065 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.066 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.066 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.066 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.066 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544092548.066 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.066 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.066 * [misc]backup-simplify: Simplify 2 into 2 1544092548.066 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.067 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.067 * [misc]taylor: Taking taylor expansion of n in n 1544092548.067 * [misc]backup-simplify: Simplify 0 into 0 1544092548.067 * [misc]backup-simplify: Simplify 1 into 1 1544092548.067 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.067 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.068 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092548.068 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.069 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544092548.069 * [misc]backup-simplify: Simplify (/ (pow (+ (log 2) (log n)) 2) (sqrt 2)) into (/ (pow (+ (log 2) (log n)) 2) (sqrt 2)) 1544092548.069 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))))) in n 1544092548.069 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (log (* 2 n)) (* (sqrt 2) (pow n 2)))) in n 1544092548.069 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.069 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.069 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (* (sqrt 2) (pow n 2))) in n 1544092548.069 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.069 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.069 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.069 * [misc]backup-simplify: Simplify 2 into 2 1544092548.069 * [misc]taylor: Taking taylor expansion of n in n 1544092548.069 * [misc]backup-simplify: Simplify 0 into 0 1544092548.069 * [misc]backup-simplify: Simplify 1 into 1 1544092548.070 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.070 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.070 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.070 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544092548.070 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.070 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.070 * [misc]backup-simplify: Simplify 2 into 2 1544092548.070 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.070 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.070 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.070 * [misc]taylor: Taking taylor expansion of n in n 1544092548.070 * [misc]backup-simplify: Simplify 0 into 0 1544092548.070 * [misc]backup-simplify: Simplify 1 into 1 1544092548.071 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.071 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.071 * [misc]backup-simplify: Simplify (* (sqrt 2) 1) into (sqrt 2) 1544092548.072 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.072 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1544092548.072 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.073 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.073 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.073 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.075 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.075 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.076 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544092548.076 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092548.076 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1544092548.077 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (sqrt 2))))) into 0 1544092548.077 * [misc]backup-simplify: Simplify (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) into (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) 1544092548.078 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.080 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.080 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.081 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 1)) into 0 1544092548.081 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1544092548.082 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ (+ (log 2) (log n)) (sqrt 2)))) into 0 1544092548.082 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.083 * [misc]backup-simplify: Simplify (+ (* +nan.0 (/ (pow (+ (log 2) (log n)) 2) (sqrt 2))) 0) into (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544092548.085 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544092548.088 * [misc]backup-simplify: Simplify (+ 0 (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544092548.090 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2))))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544092548.093 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) into (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) 1544092548.097 * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (/ (pow (log 2) 2) (sqrt 2))) (- (+ (* +nan.0 (/ (pow (log n) 2) (sqrt 2))) (- (* +nan.0 (/ (* (log 2) (log n)) (sqrt 2)))))))) (* (/ 1 n) (pow k 3))) (+ (* (- (+ (* +nan.0 (/ (log 2) (sqrt 2))) (- (* +nan.0 (/ (log n) (sqrt 2)))))) (* (/ 1 n) (pow k 2))) (* (- (* +nan.0 (/ 1 (sqrt 2)))) (* (/ 1 n) k)))) into (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (* (log n) (pow k 3))) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log 2) 2) (pow k 3)) (* (sqrt 2) n))) (- (* +nan.0 (/ k (* (sqrt 2) n)))))))))))))) 1544092548.097 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) (/ (sqrt (sqrt (/ 1 k))) (pow (* (/ 1 n) 2) (- (/ (/ 1 k) 2))))) into (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) 1544092548.097 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in (k n) around 0 1544092548.097 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in n 1544092548.097 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in n 1544092548.097 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in n 1544092548.097 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.097 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.097 * [misc]backup-simplify: Simplify 2 into 2 1544092548.098 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.098 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.098 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.098 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.098 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of k in n 1544092548.098 * [misc]backup-simplify: Simplify k into k 1544092548.098 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.098 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.098 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.098 * [misc]backup-simplify: Simplify 2 into 2 1544092548.098 * [misc]taylor: Taking taylor expansion of n in n 1544092548.098 * [misc]backup-simplify: Simplify 0 into 0 1544092548.098 * [misc]backup-simplify: Simplify 1 into 1 1544092548.098 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.098 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.098 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.098 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.099 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.099 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.099 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.099 * [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)))) 1544092548.099 * [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))))) 1544092548.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1544092548.099 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1544092548.100 * [misc]taylor: Taking taylor expansion of n in n 1544092548.100 * [misc]backup-simplify: Simplify 0 into 0 1544092548.100 * [misc]backup-simplify: Simplify 1 into 1 1544092548.100 * [misc]taylor: Taking taylor expansion of k in n 1544092548.100 * [misc]backup-simplify: Simplify k into k 1544092548.100 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.100 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.100 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1544092548.100 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.100 * [misc]backup-simplify: Simplify 2 into 2 1544092548.100 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.100 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.100 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.100 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.100 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.100 * [misc]taylor: Taking taylor expansion of k in k 1544092548.100 * [misc]backup-simplify: Simplify 0 into 0 1544092548.100 * [misc]backup-simplify: Simplify 1 into 1 1544092548.100 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.101 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092548.101 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092548.101 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.101 * [misc]backup-simplify: Simplify 2 into 2 1544092548.101 * [misc]taylor: Taking taylor expansion of n in k 1544092548.101 * [misc]backup-simplify: Simplify n into n 1544092548.101 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092548.101 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092548.101 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.101 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.101 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092548.101 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544092548.101 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1544092548.101 * [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))) 1544092548.101 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544092548.101 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544092548.101 * [misc]taylor: Taking taylor expansion of n in k 1544092548.101 * [misc]backup-simplify: Simplify n into n 1544092548.101 * [misc]taylor: Taking taylor expansion of k in k 1544092548.101 * [misc]backup-simplify: Simplify 0 into 0 1544092548.102 * [misc]backup-simplify: Simplify 1 into 1 1544092548.102 * [misc]backup-simplify: Simplify (/ n 1) into n 1544092548.102 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.102 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544092548.102 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) (sqrt (/ n k))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k)))))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (/ 2 n) (- (* 1/2 (/ 1 k))))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.102 * [misc]backup-simplify: Simplify 2 into 2 1544092548.102 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.102 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.102 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.102 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.102 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of k in k 1544092548.102 * [misc]backup-simplify: Simplify 0 into 0 1544092548.102 * [misc]backup-simplify: Simplify 1 into 1 1544092548.102 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.102 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092548.102 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.102 * [misc]backup-simplify: Simplify 2 into 2 1544092548.102 * [misc]taylor: Taking taylor expansion of n in k 1544092548.103 * [misc]backup-simplify: Simplify n into n 1544092548.103 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092548.103 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092548.103 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.103 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.103 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092548.103 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544092548.103 * [misc]backup-simplify: Simplify (* (sqrt 2) (exp (* -1/2 (/ (log (/ 2 n)) k)))) into (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) 1544092548.103 * [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))) 1544092548.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544092548.103 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544092548.103 * [misc]taylor: Taking taylor expansion of n in k 1544092548.103 * [misc]backup-simplify: Simplify n into n 1544092548.103 * [misc]taylor: Taking taylor expansion of k in k 1544092548.103 * [misc]backup-simplify: Simplify 0 into 0 1544092548.103 * [misc]backup-simplify: Simplify 1 into 1 1544092548.103 * [misc]backup-simplify: Simplify (/ n 1) into n 1544092548.104 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.104 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544092548.104 * [misc]backup-simplify: Simplify (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) 0) into 0 1544092548.104 * [misc]taylor: Taking taylor expansion of 0 in n 1544092548.104 * [misc]backup-simplify: Simplify 0 into 0 1544092548.104 * [misc]backup-simplify: Simplify 0 into 0 1544092548.104 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))) into 0 1544092548.105 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.105 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 n)) (* 0 0)) into (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.105 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.105 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.105 * [misc]taylor: Taking taylor expansion of (/ n (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of n in n 1544092548.105 * [misc]backup-simplify: Simplify 0 into 0 1544092548.105 * [misc]backup-simplify: Simplify 1 into 1 1544092548.105 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.105 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.105 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.105 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.105 * [misc]backup-simplify: Simplify 2 into 2 1544092548.105 * [misc]taylor: Taking taylor expansion of n in n 1544092548.105 * [misc]backup-simplify: Simplify 0 into 0 1544092548.105 * [misc]backup-simplify: Simplify 1 into 1 1544092548.105 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.106 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.106 * [misc]taylor: Taking taylor expansion of k in n 1544092548.106 * [misc]backup-simplify: Simplify k into k 1544092548.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.106 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.106 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.106 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.106 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.106 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.107 * [misc]backup-simplify: Simplify 2 into 2 1544092548.107 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.107 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.107 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.107 * [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))))) 1544092548.107 * [misc]backup-simplify: Simplify 0 into 0 1544092548.108 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1544092548.108 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1544092548.109 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.109 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))) into 0 1544092548.110 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.110 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))) into (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.110 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.110 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.110 * [misc]taylor: Taking taylor expansion of (/ (pow n 2) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of n in n 1544092548.110 * [misc]backup-simplify: Simplify 0 into 0 1544092548.110 * [misc]backup-simplify: Simplify 1 into 1 1544092548.110 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.110 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.110 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.110 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.110 * [misc]backup-simplify: Simplify 2 into 2 1544092548.110 * [misc]taylor: Taking taylor expansion of n in n 1544092548.110 * [misc]backup-simplify: Simplify 0 into 0 1544092548.110 * [misc]backup-simplify: Simplify 1 into 1 1544092548.110 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.111 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.111 * [misc]taylor: Taking taylor expansion of k in n 1544092548.111 * [misc]backup-simplify: Simplify k into k 1544092548.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.111 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.111 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.111 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.111 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.111 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.111 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.112 * [misc]backup-simplify: Simplify 2 into 2 1544092548.112 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.112 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.112 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.112 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.112 * [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))))) 1544092548.113 * [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))))) 1544092548.113 * [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))))))) 1544092548.113 * [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))))))) 1544092548.113 * [misc]backup-simplify: Simplify 0 into 0 1544092548.114 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.114 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1544092548.114 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.114 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))))) into 0 1544092548.115 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.116 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))) into (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.116 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.116 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.116 * [misc]taylor: Taking taylor expansion of (/ (pow n 3) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of n in n 1544092548.116 * [misc]backup-simplify: Simplify 0 into 0 1544092548.116 * [misc]backup-simplify: Simplify 1 into 1 1544092548.116 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.116 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.116 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.116 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.116 * [misc]backup-simplify: Simplify 2 into 2 1544092548.116 * [misc]taylor: Taking taylor expansion of n in n 1544092548.116 * [misc]backup-simplify: Simplify 0 into 0 1544092548.116 * [misc]backup-simplify: Simplify 1 into 1 1544092548.116 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.116 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.116 * [misc]taylor: Taking taylor expansion of k in n 1544092548.116 * [misc]backup-simplify: Simplify k into k 1544092548.116 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.117 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.117 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.117 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.117 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.117 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.117 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.117 * [misc]backup-simplify: Simplify 2 into 2 1544092548.117 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.117 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.118 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.118 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.118 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.118 * [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))))) 1544092548.118 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092548.120 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.120 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544092548.120 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544092548.121 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.121 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (sqrt 2))) into 0 1544092548.122 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544092548.122 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1544092548.123 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.123 * [misc]backup-simplify: Simplify 0 into 0 1544092548.123 * [misc]backup-simplify: Simplify 0 into 0 1544092548.123 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.123 * [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)) 1544092548.124 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.125 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))))) into 0 1544092548.126 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.126 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))) into (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.126 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.126 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.126 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.126 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.127 * [misc]taylor: Taking taylor expansion of (/ (pow n 4) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of n in n 1544092548.127 * [misc]backup-simplify: Simplify 0 into 0 1544092548.127 * [misc]backup-simplify: Simplify 1 into 1 1544092548.127 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.127 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.127 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.127 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.127 * [misc]backup-simplify: Simplify 2 into 2 1544092548.127 * [misc]taylor: Taking taylor expansion of n in n 1544092548.127 * [misc]backup-simplify: Simplify 0 into 0 1544092548.127 * [misc]backup-simplify: Simplify 1 into 1 1544092548.127 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.127 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.127 * [misc]taylor: Taking taylor expansion of k in n 1544092548.127 * [misc]backup-simplify: Simplify k into k 1544092548.127 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.127 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.128 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.128 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.128 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.128 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.128 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.128 * [misc]backup-simplify: Simplify 2 into 2 1544092548.128 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.128 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.128 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.128 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.129 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.129 * [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))))) 1544092548.129 * [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))))) 1544092548.130 * [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))))))) 1544092548.130 * [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))))))) 1544092548.131 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.131 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.135 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092548.135 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.136 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544092548.138 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.138 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 1544092548.140 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 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 1544092548.141 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544092548.141 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.141 * [misc]backup-simplify: Simplify 0 into 0 1544092548.141 * [misc]backup-simplify: Simplify 0 into 0 1544092548.142 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.142 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 4)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 3)))))) (* 2 0)) into (* +nan.0 (pow n 5)) 1544092548.143 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.143 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k))))))))) into 0 1544092548.145 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.146 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0)))))) into (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.146 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.146 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.146 * [misc]taylor: Taking taylor expansion of (/ (pow n 5) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of (pow n 5) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of n in n 1544092548.146 * [misc]backup-simplify: Simplify 0 into 0 1544092548.146 * [misc]backup-simplify: Simplify 1 into 1 1544092548.146 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.146 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.147 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.147 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.147 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.147 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.147 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.147 * [misc]backup-simplify: Simplify 2 into 2 1544092548.147 * [misc]taylor: Taking taylor expansion of n in n 1544092548.147 * [misc]backup-simplify: Simplify 0 into 0 1544092548.147 * [misc]backup-simplify: Simplify 1 into 1 1544092548.147 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.147 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.147 * [misc]taylor: Taking taylor expansion of k in n 1544092548.147 * [misc]backup-simplify: Simplify k into k 1544092548.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.148 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.148 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.148 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.148 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.149 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.149 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.149 * [misc]backup-simplify: Simplify 2 into 2 1544092548.149 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.149 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.149 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.149 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.149 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.150 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.150 * [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))))) 1544092548.151 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092548.153 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.154 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544092548.154 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544092548.155 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.155 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (* 0 (sqrt 2))) into 0 1544092548.156 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))))))) into 0 1544092548.157 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))) into 0 1544092548.157 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.157 * [misc]backup-simplify: Simplify 0 into 0 1544092548.157 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.157 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.162 * [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 1544092548.162 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.163 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k))))) into 0 1544092548.165 * [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 1544092548.165 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2))))) into 0 1544092548.166 * [misc]backup-simplify: Simplify (- (/ 0 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))) (+ (* (/ 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 1544092548.167 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k))))))))) into 0 1544092548.167 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.167 * [misc]backup-simplify: Simplify 0 into 0 1544092548.167 * [misc]backup-simplify: Simplify 0 into 0 1544092548.168 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.168 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 (pow n 3)) 2) (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 5)))) (* 2 (* (* +nan.0 (pow n 2)) (* +nan.0 (pow n 4)))))) (* 2 0)) into (* +nan.0 (pow n 6)) 1544092548.169 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.170 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* -1/2 (/ (log (/ 2 n)) k)))))))))) into 0 1544092548.171 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) (* 0 (/ 0 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))))) into 0 1544092548.172 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) (* +nan.0 (pow n 6))) (+ (* 0 (* +nan.0 (pow n 5))) (+ (* 0 (* +nan.0 (pow n 4))) (+ (* 0 (* +nan.0 (pow n 3))) (+ (* 0 (* +nan.0 (pow n 2))) (+ (* 0 (* +nan.0 n)) (* 0 0))))))) into (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) 1544092548.172 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))))) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)))) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.172 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.172 * [misc]taylor: Taking taylor expansion of (/ (pow n 6) (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2))) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (pow n 6) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of n in n 1544092548.172 * [misc]backup-simplify: Simplify 0 into 0 1544092548.172 * [misc]backup-simplify: Simplify 1 into 1 1544092548.172 * [misc]taylor: Taking taylor expansion of (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (sqrt 2)) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.172 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.172 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.172 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.172 * [misc]backup-simplify: Simplify 2 into 2 1544092548.172 * [misc]taylor: Taking taylor expansion of n in n 1544092548.172 * [misc]backup-simplify: Simplify 0 into 0 1544092548.172 * [misc]backup-simplify: Simplify 1 into 1 1544092548.172 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.172 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.172 * [misc]taylor: Taking taylor expansion of k in n 1544092548.172 * [misc]backup-simplify: Simplify k into k 1544092548.172 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.173 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.173 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.173 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.173 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.173 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.173 * [misc]backup-simplify: Simplify 2 into 2 1544092548.173 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.173 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.174 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.174 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.174 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.174 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (sqrt 2)) into (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log n)) k)))) 1544092548.174 * [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))))) 1544092548.175 * [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))))) 1544092548.175 * [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))))))) 1544092548.175 * [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))))))) 1544092548.177 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (pow (/ 1 n) 3) (pow (/ 1 k) 2))) (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (pow (/ 1 n) 2) (/ 1 k))) (* (- (* +nan.0 (/ 1 (* (sqrt 2) (exp (* -1/2 (/ (- (log 2) (log (/ 1 n))) (/ 1 k)))))))) (* (/ 1 n) 1)))) into (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow k 2)))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) k))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n))))))))) 1544092548.177 * [misc]backup-simplify: Simplify (* (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) (/ (sqrt (sqrt (/ 1 (- k)))) (pow (* (/ 1 (- n)) 2) (- (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) 1544092548.177 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in (k n) around 0 1544092548.177 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in n 1544092548.177 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092548.177 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092548.177 * [misc]taylor: Taking taylor expansion of -1 in n 1544092548.177 * [misc]backup-simplify: Simplify -1 into -1 1544092548.177 * [misc]taylor: Taking taylor expansion of k in n 1544092548.177 * [misc]backup-simplify: Simplify k into k 1544092548.177 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092548.177 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092548.177 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092548.178 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092548.178 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.178 * [misc]backup-simplify: Simplify -2 into -2 1544092548.178 * [misc]taylor: Taking taylor expansion of n in n 1544092548.178 * [misc]backup-simplify: Simplify 0 into 0 1544092548.178 * [misc]backup-simplify: Simplify 1 into 1 1544092548.178 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.178 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.178 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.178 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.178 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.178 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of k in n 1544092548.178 * [misc]backup-simplify: Simplify k into k 1544092548.178 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.178 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.178 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.178 * [misc]backup-simplify: Simplify -2 into -2 1544092548.179 * [misc]taylor: Taking taylor expansion of n in n 1544092548.179 * [misc]backup-simplify: Simplify 0 into 0 1544092548.179 * [misc]backup-simplify: Simplify 1 into 1 1544092548.179 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.179 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.179 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.179 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.179 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.179 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.180 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544092548.180 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.181 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.181 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.181 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.182 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.182 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1544092548.182 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.183 * [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))))) 1544092548.183 * [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))))) 1544092548.183 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1544092548.183 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.183 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.183 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.183 * [misc]backup-simplify: Simplify -1 into -1 1544092548.183 * [misc]taylor: Taking taylor expansion of k in k 1544092548.183 * [misc]backup-simplify: Simplify 0 into 0 1544092548.183 * [misc]backup-simplify: Simplify 1 into 1 1544092548.183 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.183 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.184 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.184 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1544092548.184 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.184 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.184 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.184 * [misc]backup-simplify: Simplify -2 into -2 1544092548.184 * [misc]taylor: Taking taylor expansion of n in k 1544092548.184 * [misc]backup-simplify: Simplify n into n 1544092548.184 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.184 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.184 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.184 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.184 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544092548.184 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544092548.184 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544092548.185 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.185 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.185 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.185 * [misc]taylor: Taking taylor expansion of k in k 1544092548.185 * [misc]backup-simplify: Simplify 0 into 0 1544092548.185 * [misc]backup-simplify: Simplify 1 into 1 1544092548.185 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.185 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092548.185 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.185 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.185 * [misc]backup-simplify: Simplify -2 into -2 1544092548.185 * [misc]taylor: Taking taylor expansion of n in k 1544092548.185 * [misc]backup-simplify: Simplify n into n 1544092548.185 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.185 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092548.185 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.185 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092548.186 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544092548.186 * [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)))) 1544092548.186 * [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))))) 1544092548.186 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k))))) in k 1544092548.186 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.186 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.186 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.186 * [misc]backup-simplify: Simplify -1 into -1 1544092548.186 * [misc]taylor: Taking taylor expansion of k in k 1544092548.186 * [misc]backup-simplify: Simplify 0 into 0 1544092548.186 * [misc]backup-simplify: Simplify 1 into 1 1544092548.186 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.187 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.187 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.187 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (pow (/ -2 n) (* 1/2 (/ 1 k)))) in k 1544092548.187 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.187 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.187 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.187 * [misc]backup-simplify: Simplify -2 into -2 1544092548.187 * [misc]taylor: Taking taylor expansion of n in k 1544092548.187 * [misc]backup-simplify: Simplify n into n 1544092548.187 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.187 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.188 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.188 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.188 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.188 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.188 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of k in k 1544092548.188 * [misc]backup-simplify: Simplify 0 into 0 1544092548.188 * [misc]backup-simplify: Simplify 1 into 1 1544092548.188 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.188 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.188 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.188 * [misc]backup-simplify: Simplify -2 into -2 1544092548.188 * [misc]taylor: Taking taylor expansion of n in k 1544092548.188 * [misc]backup-simplify: Simplify n into n 1544092548.188 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.188 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092548.189 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.189 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092548.189 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544092548.189 * [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)))) 1544092548.189 * [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))))) 1544092548.189 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) in n 1544092548.189 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.189 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.190 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) in n 1544092548.190 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.190 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.190 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.190 * [misc]backup-simplify: Simplify -2 into -2 1544092548.190 * [misc]taylor: Taking taylor expansion of n in n 1544092548.190 * [misc]backup-simplify: Simplify 0 into 0 1544092548.190 * [misc]backup-simplify: Simplify 1 into 1 1544092548.190 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.190 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.190 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.191 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544092548.191 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544092548.191 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.191 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.191 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544092548.191 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.191 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.191 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.191 * [misc]backup-simplify: Simplify -2 into -2 1544092548.191 * [misc]taylor: Taking taylor expansion of n in n 1544092548.191 * [misc]backup-simplify: Simplify 0 into 0 1544092548.191 * [misc]backup-simplify: Simplify 1 into 1 1544092548.191 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.191 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.191 * [misc]taylor: Taking taylor expansion of k in n 1544092548.191 * [misc]backup-simplify: Simplify k into k 1544092548.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.192 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.192 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544092548.192 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.193 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.193 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544092548.193 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.196 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.196 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544092548.196 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544092548.198 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.198 * [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))))) 1544092548.198 * [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)))) 1544092548.199 * [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)))) 1544092548.199 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.200 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.200 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ -2 n)) 0) (* 0 (exp (* 1/2 (/ (log (/ -2 n)) k))))) into 0 1544092548.201 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) (+ (* (/ +nan.0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) (/ 0 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))))))) into (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))))) 1544092548.201 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))))) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))))) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.201 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.201 * [misc]taylor: Taking taylor expansion of (/ 1 (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k))))) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ -2 n)) (exp (* 1/2 (/ (log (/ -2 n)) k)))) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.201 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.201 * [misc]backup-simplify: Simplify -2 into -2 1544092548.201 * [misc]taylor: Taking taylor expansion of n in n 1544092548.201 * [misc]backup-simplify: Simplify 0 into 0 1544092548.201 * [misc]backup-simplify: Simplify 1 into 1 1544092548.201 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.202 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.202 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.202 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544092548.202 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544092548.202 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.202 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.202 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544092548.202 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.202 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.202 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.202 * [misc]backup-simplify: Simplify -2 into -2 1544092548.202 * [misc]taylor: Taking taylor expansion of n in n 1544092548.202 * [misc]backup-simplify: Simplify 0 into 0 1544092548.202 * [misc]backup-simplify: Simplify 1 into 1 1544092548.202 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.203 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.203 * [misc]taylor: Taking taylor expansion of k in n 1544092548.203 * [misc]backup-simplify: Simplify k into k 1544092548.203 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.203 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.204 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544092548.204 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.204 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.205 * [misc]backup-simplify: Simplify (* 0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) into 0 1544092548.205 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.207 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.208 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544092548.208 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544092548.209 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.209 * [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))))) 1544092548.209 * [misc]backup-simplify: Simplify (/ 1 (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) into (/ +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k)))) 1544092548.209 * [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)))) 1544092548.209 * [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)))))) 1544092548.210 * [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)))))) 1544092548.210 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.212 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544092548.213 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.213 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1544092548.214 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.214 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.215 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.215 * [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))))) 1544092548.216 * [misc]backup-simplify: Simplify (- (/ 0 (- (* +nan.0 (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))))) (- (* +nan.0 (exp (* 1/2 (/ (- (log -2) (log n)) k))))))))) into (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log n)) k)))))) 1544092548.216 * [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)))))) 1544092548.217 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* (/ 1 (- n)) 1)) (+ (* (- (* +nan.0 (/ 1 (exp (* 1/2 (/ (- (log -2) (log (/ 1 (- n)))) (/ 1 (- k)))))))) (* 1 (/ 1 (- k)))) (/ +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)))))))))) 1544092548.217 * * * * [misc]progress: [ 3 / 4 ] generating series at (2) 1544092548.218 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (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))) 1544092548.218 * [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 1544092548.218 * [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 1544092548.218 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.218 * [misc]backup-simplify: Simplify 2 into 2 1544092548.218 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.218 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.218 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.218 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.218 * [misc]taylor: Taking taylor expansion of k in n 1544092548.218 * [misc]backup-simplify: Simplify k into k 1544092548.218 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.218 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.218 * [misc]backup-simplify: Simplify 2 into 2 1544092548.218 * [misc]taylor: Taking taylor expansion of n in n 1544092548.218 * [misc]backup-simplify: Simplify 0 into 0 1544092548.218 * [misc]backup-simplify: Simplify 1 into 1 1544092548.218 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.219 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.219 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.219 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092548.219 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092548.219 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.219 * [misc]backup-simplify: Simplify (* (- (* 1/2 k)) (+ (log 2) (log n))) into (* -1/2 (* (+ (log 2) (log n)) k)) 1544092548.219 * [misc]backup-simplify: Simplify (exp (* -1/2 (* (+ (log 2) (log n)) k))) into (exp (* -1/2 (* (+ (log 2) (log n)) k))) 1544092548.219 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1544092548.219 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1544092548.219 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1544092548.219 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1544092548.219 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.219 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1544092548.219 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.219 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.219 * [misc]taylor: Taking taylor expansion of k in n 1544092548.220 * [misc]backup-simplify: Simplify k into k 1544092548.220 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.220 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.220 * [misc]backup-simplify: Simplify PI into PI 1544092548.220 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.220 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1544092548.220 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1544092548.220 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1544092548.220 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1544092548.220 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1544092548.220 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in n 1544092548.220 * [misc]taylor: Taking taylor expansion of (/ n k) in n 1544092548.220 * [misc]taylor: Taking taylor expansion of n in n 1544092548.220 * [misc]backup-simplify: Simplify 0 into 0 1544092548.220 * [misc]backup-simplify: Simplify 1 into 1 1544092548.220 * [misc]taylor: Taking taylor expansion of k in n 1544092548.220 * [misc]backup-simplify: Simplify k into k 1544092548.220 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.221 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.221 * [misc]backup-simplify: Simplify (/ (/ 1 k) (* 2 (sqrt 0))) into (/ +nan.0 k) 1544092548.221 * [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 1544092548.221 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.221 * [misc]backup-simplify: Simplify 2 into 2 1544092548.221 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.221 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.221 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.221 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.221 * [misc]taylor: Taking taylor expansion of k in k 1544092548.221 * [misc]backup-simplify: Simplify 0 into 0 1544092548.221 * [misc]backup-simplify: Simplify 1 into 1 1544092548.221 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092548.221 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.221 * [misc]backup-simplify: Simplify 2 into 2 1544092548.221 * [misc]taylor: Taking taylor expansion of n in k 1544092548.221 * [misc]backup-simplify: Simplify n into n 1544092548.221 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092548.221 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092548.221 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.222 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.222 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544092548.222 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.222 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092548.222 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092548.222 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092548.223 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.223 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092548.223 * [misc]backup-simplify: Simplify (exp 0) into 1 1544092548.223 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.223 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.223 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.223 * [misc]taylor: Taking taylor expansion of k in k 1544092548.223 * [misc]backup-simplify: Simplify 0 into 0 1544092548.223 * [misc]backup-simplify: Simplify 1 into 1 1544092548.223 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.223 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.223 * [misc]backup-simplify: Simplify PI into PI 1544092548.223 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.223 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.223 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.223 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092548.224 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092548.224 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092548.224 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544092548.224 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544092548.224 * [misc]taylor: Taking taylor expansion of n in k 1544092548.224 * [misc]backup-simplify: Simplify n into n 1544092548.224 * [misc]taylor: Taking taylor expansion of k in k 1544092548.224 * [misc]backup-simplify: Simplify 0 into 0 1544092548.224 * [misc]backup-simplify: Simplify 1 into 1 1544092548.224 * [misc]backup-simplify: Simplify (/ n 1) into n 1544092548.224 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.225 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544092548.225 * [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 1544092548.225 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.225 * [misc]backup-simplify: Simplify 2 into 2 1544092548.225 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.225 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.225 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- (* 1/2 k))) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 k)) (log (* 2 n)))) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 k)) (log (* 2 n))) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (- (* 1/2 k)) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.225 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.225 * [misc]taylor: Taking taylor expansion of k in k 1544092548.225 * [misc]backup-simplify: Simplify 0 into 0 1544092548.225 * [misc]backup-simplify: Simplify 1 into 1 1544092548.225 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1544092548.225 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.225 * [misc]backup-simplify: Simplify 2 into 2 1544092548.225 * [misc]taylor: Taking taylor expansion of n in k 1544092548.225 * [misc]backup-simplify: Simplify n into n 1544092548.225 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1544092548.225 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1544092548.225 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.225 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.226 * [misc]backup-simplify: Simplify (* 0 (log (* 2 n))) into 0 1544092548.226 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.226 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1544092548.226 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1544092548.226 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092548.227 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.227 * [misc]backup-simplify: Simplify (+ (* 0 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1544092548.227 * [misc]backup-simplify: Simplify (exp 0) into 1 1544092548.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.227 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.227 * [misc]taylor: Taking taylor expansion of k in k 1544092548.227 * [misc]backup-simplify: Simplify 0 into 0 1544092548.227 * [misc]backup-simplify: Simplify 1 into 1 1544092548.227 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.227 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.227 * [misc]backup-simplify: Simplify PI into PI 1544092548.227 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.227 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1544092548.227 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.227 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092548.228 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092548.228 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1544092548.228 * [misc]taylor: Taking taylor expansion of (sqrt (/ n k)) in k 1544092548.228 * [misc]taylor: Taking taylor expansion of (/ n k) in k 1544092548.228 * [misc]taylor: Taking taylor expansion of n in k 1544092548.228 * [misc]backup-simplify: Simplify n into n 1544092548.228 * [misc]taylor: Taking taylor expansion of k in k 1544092548.228 * [misc]backup-simplify: Simplify 0 into 0 1544092548.228 * [misc]backup-simplify: Simplify 1 into 1 1544092548.228 * [misc]backup-simplify: Simplify (/ n 1) into n 1544092548.228 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.229 * [misc]backup-simplify: Simplify (/ n (* 2 (sqrt 0))) into (* +nan.0 n) 1544092548.229 * [misc]backup-simplify: Simplify (* 1 (pow PI 1/2)) into (sqrt PI) 1544092548.229 * [misc]backup-simplify: Simplify (* (sqrt 2) (sqrt PI)) into (* (sqrt 2) (sqrt PI)) 1544092548.230 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (sqrt PI)) 0) into 0 1544092548.230 * [misc]taylor: Taking taylor expansion of 0 in n 1544092548.230 * [misc]backup-simplify: Simplify 0 into 0 1544092548.230 * [misc]backup-simplify: Simplify 0 into 0 1544092548.231 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.232 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1544092548.232 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.232 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092548.232 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1544092548.234 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1544092548.234 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow (- (* 1/2 (log (* 2 n)))) 1) 1)))) into (* -1/2 (log (* 2 n))) 1544092548.235 * [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))))) 1544092548.238 * [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))))) 1544092548.240 * [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)))) 1544092548.241 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) n) (sqrt PI)))) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) n) (sqrt PI))) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.241 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.241 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) n) (sqrt PI)) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) n) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.241 * [misc]backup-simplify: Simplify 2 into 2 1544092548.241 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.241 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.241 * [misc]taylor: Taking taylor expansion of n in n 1544092548.241 * [misc]backup-simplify: Simplify 0 into 0 1544092548.241 * [misc]backup-simplify: Simplify 1 into 1 1544092548.241 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.241 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.241 * [misc]backup-simplify: Simplify PI into PI 1544092548.242 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.242 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.242 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.243 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.243 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.243 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.243 * [misc]backup-simplify: Simplify 0 into 0 1544092548.243 * [misc]backup-simplify: Simplify 0 into 0 1544092548.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)))) into 0 1544092548.244 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 n) 2) (+)) (* 2 0)) into (* +nan.0 (pow n 2)) 1544092548.246 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092548.247 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.247 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.247 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.248 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1544092548.250 * [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))) 1544092548.250 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1544092548.251 * [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 1544092548.251 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.251 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.252 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.252 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1544092548.252 * [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)) 1544092548.254 * [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)))))) 1544092548.255 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.258 * [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))))) 1544092548.262 * [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)))))))) 1544092548.262 * [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 1544092548.262 * [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 1544092548.262 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 2)) (sqrt PI))) in n 1544092548.262 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.262 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.262 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 2)) (sqrt PI)) in n 1544092548.262 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 2)) in n 1544092548.262 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.262 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.262 * [misc]backup-simplify: Simplify 2 into 2 1544092548.262 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.262 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.262 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.262 * [misc]taylor: Taking taylor expansion of n in n 1544092548.262 * [misc]backup-simplify: Simplify 0 into 0 1544092548.262 * [misc]backup-simplify: Simplify 1 into 1 1544092548.262 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.263 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.263 * [misc]backup-simplify: Simplify PI into PI 1544092548.263 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.263 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.263 * [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 1544092548.263 * [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 1544092548.263 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) n)) (sqrt PI))) in n 1544092548.263 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.263 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.263 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) n)) (sqrt PI)) in n 1544092548.263 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) n)) in n 1544092548.263 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.263 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.263 * [misc]backup-simplify: Simplify 2 into 2 1544092548.263 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.264 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.264 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544092548.264 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.264 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.264 * [misc]backup-simplify: Simplify PI into PI 1544092548.264 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.264 * [misc]taylor: Taking taylor expansion of n in n 1544092548.264 * [misc]backup-simplify: Simplify 0 into 0 1544092548.264 * [misc]backup-simplify: Simplify 1 into 1 1544092548.264 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.264 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.264 * [misc]backup-simplify: Simplify PI into PI 1544092548.264 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.264 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.265 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)))) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI))) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.265 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.265 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) n)) (sqrt PI)) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) n)) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.265 * [misc]backup-simplify: Simplify 2 into 2 1544092548.265 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.265 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.265 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) n) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.265 * [misc]backup-simplify: Simplify 2 into 2 1544092548.265 * [misc]taylor: Taking taylor expansion of n in n 1544092548.265 * [misc]backup-simplify: Simplify 0 into 0 1544092548.265 * [misc]backup-simplify: Simplify 1 into 1 1544092548.265 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.265 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.265 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.265 * [misc]taylor: Taking taylor expansion of n in n 1544092548.265 * [misc]backup-simplify: Simplify 0 into 0 1544092548.265 * [misc]backup-simplify: Simplify 1 into 1 1544092548.265 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.265 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.265 * [misc]backup-simplify: Simplify PI into PI 1544092548.266 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.266 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.266 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544092548.266 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.267 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.267 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.267 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.267 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544092548.267 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.268 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.268 * [misc]backup-simplify: Simplify 0 into 0 1544092548.270 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 1) (* 0 0)) into (sqrt 2) 1544092548.270 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (sqrt 2) (sqrt PI))) into (* (sqrt 2) (sqrt PI)) 1544092548.271 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (sqrt 2) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544092548.273 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (sqrt PI))))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544092548.274 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) into (- (* +nan.0 (* (sqrt 2) (sqrt PI)))) 1544092548.274 * [misc]backup-simplify: Simplify 0 into 0 1544092548.274 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.275 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 n) (* +nan.0 (pow n 2)))))) (* 2 0)) into (* +nan.0 (pow n 3)) 1544092548.281 * [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 1544092548.282 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092548.282 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.282 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log PI))))) into 0 1544092548.291 * [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))) 1544092548.292 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.292 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 n)))) into 0 1544092548.294 * [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 1544092548.295 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.295 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.295 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1544092548.295 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.296 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 n)))))) into 0 1544092548.298 * [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)) 1544092548.303 * [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))))))) 1544092548.303 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.311 * [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))))))) 1544092548.324 * [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)))))))))))))) 1544092548.324 * [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 1544092548.324 * [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 1544092548.324 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 3)) (sqrt PI))) in n 1544092548.324 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.324 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.324 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 3)) (sqrt PI)) in n 1544092548.324 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 3)) in n 1544092548.324 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.324 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.324 * [misc]backup-simplify: Simplify 2 into 2 1544092548.324 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.325 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.325 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.325 * [misc]taylor: Taking taylor expansion of n in n 1544092548.325 * [misc]backup-simplify: Simplify 0 into 0 1544092548.325 * [misc]backup-simplify: Simplify 1 into 1 1544092548.325 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.325 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.325 * [misc]backup-simplify: Simplify PI into PI 1544092548.325 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.326 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.326 * [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 1544092548.326 * [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 1544092548.326 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI))) in n 1544092548.326 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.326 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.326 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 2))) (sqrt PI)) in n 1544092548.326 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 2))) in n 1544092548.326 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.326 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.326 * [misc]backup-simplify: Simplify 2 into 2 1544092548.327 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.327 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.327 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1544092548.327 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.327 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.327 * [misc]backup-simplify: Simplify PI into PI 1544092548.327 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.327 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.327 * [misc]taylor: Taking taylor expansion of n in n 1544092548.327 * [misc]backup-simplify: Simplify 0 into 0 1544092548.327 * [misc]backup-simplify: Simplify 1 into 1 1544092548.327 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.327 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.327 * [misc]backup-simplify: Simplify PI into PI 1544092548.328 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.328 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.329 * [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 1544092548.329 * [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 1544092548.329 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI))) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.329 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.329 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) (sqrt PI)) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) n))) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.329 * [misc]backup-simplify: Simplify 2 into 2 1544092548.329 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.329 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.329 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) n)) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.329 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.329 * [misc]backup-simplify: Simplify 2 into 2 1544092548.329 * [misc]taylor: Taking taylor expansion of n in n 1544092548.329 * [misc]backup-simplify: Simplify 0 into 0 1544092548.330 * [misc]backup-simplify: Simplify 1 into 1 1544092548.330 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.330 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.330 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.330 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544092548.330 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.330 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.330 * [misc]backup-simplify: Simplify PI into PI 1544092548.330 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.330 * [misc]taylor: Taking taylor expansion of n in n 1544092548.331 * [misc]backup-simplify: Simplify 0 into 0 1544092548.331 * [misc]backup-simplify: Simplify 1 into 1 1544092548.331 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.331 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.331 * [misc]backup-simplify: Simplify PI into PI 1544092548.331 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.332 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.332 * [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 1544092548.332 * [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 1544092548.332 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI))) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.332 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.332 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) n)) (sqrt PI)) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) n)) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.332 * [misc]backup-simplify: Simplify 2 into 2 1544092548.332 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.332 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.332 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.332 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.333 * [misc]backup-simplify: Simplify PI into PI 1544092548.333 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.333 * [misc]taylor: Taking taylor expansion of n in n 1544092548.333 * [misc]backup-simplify: Simplify 0 into 0 1544092548.333 * [misc]backup-simplify: Simplify 1 into 1 1544092548.333 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.333 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.333 * [misc]backup-simplify: Simplify PI into PI 1544092548.333 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.334 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.334 * [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 1544092548.334 * [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 1544092548.334 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI))) in n 1544092548.334 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.334 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.334 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) (sqrt PI)) in n 1544092548.334 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 2))) in n 1544092548.334 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.334 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.334 * [misc]backup-simplify: Simplify 2 into 2 1544092548.334 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.335 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.335 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 2)) in n 1544092548.335 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.335 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.335 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.335 * [misc]backup-simplify: Simplify 2 into 2 1544092548.335 * [misc]taylor: Taking taylor expansion of n in n 1544092548.335 * [misc]backup-simplify: Simplify 0 into 0 1544092548.335 * [misc]backup-simplify: Simplify 1 into 1 1544092548.335 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.335 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.335 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.335 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.335 * [misc]taylor: Taking taylor expansion of n in n 1544092548.335 * [misc]backup-simplify: Simplify 0 into 0 1544092548.335 * [misc]backup-simplify: Simplify 1 into 1 1544092548.335 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.335 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.336 * [misc]backup-simplify: Simplify PI into PI 1544092548.336 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.336 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.337 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)))) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI))) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.337 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.337 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) (sqrt PI)) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) n)) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.337 * [misc]backup-simplify: Simplify 2 into 2 1544092548.337 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.337 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.337 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) n) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.337 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.337 * [misc]backup-simplify: Simplify 2 into 2 1544092548.337 * [misc]taylor: Taking taylor expansion of n in n 1544092548.337 * [misc]backup-simplify: Simplify 0 into 0 1544092548.337 * [misc]backup-simplify: Simplify 1 into 1 1544092548.338 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.338 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.338 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.338 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.338 * [misc]taylor: Taking taylor expansion of n in n 1544092548.338 * [misc]backup-simplify: Simplify 0 into 0 1544092548.338 * [misc]backup-simplify: Simplify 1 into 1 1544092548.338 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.338 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.339 * [misc]backup-simplify: Simplify PI into PI 1544092548.339 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.340 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.340 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.341 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544092548.341 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544092548.341 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.341 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.342 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.342 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544092548.343 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1544092548.343 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.344 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.344 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.344 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.345 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.345 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092548.345 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1544092548.345 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.346 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.346 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.346 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.346 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.347 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.347 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.347 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.347 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.348 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.348 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.348 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.348 * [misc]backup-simplify: Simplify 0 into 0 1544092548.351 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.352 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1544092548.353 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (log PI)) (* 0 0)) into (* (sqrt 2) (log PI)) 1544092548.354 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (log PI)) (sqrt PI))) into (* (* (sqrt 2) (log PI)) (sqrt PI)) 1544092548.356 * [misc]backup-simplify: Simplify (+ (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI))) (* 0 0)) into (- (* +nan.0 (* (* (sqrt 2) (log PI)) (sqrt PI)))) 1544092548.356 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.357 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.359 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.359 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 1) (* 0 0)) into (+ (log 2) (log n)) 1544092548.360 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (+ (log 2) (log n))) (* 0 0)) into (+ (* (log 2) (sqrt 2)) (* (sqrt 2) (log n))) 1544092548.361 * [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))) 1544092548.362 * [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)))))) 1544092548.365 * [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)))))) 1544092548.369 * [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)))))))) 1544092548.372 * [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)))))))) 1544092548.377 * [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)))))))) 1544092548.381 * [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)))))))) 1544092548.385 * [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)))))))) 1544092548.387 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt PI))) into 0 1544092548.388 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.388 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.390 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (sqrt 2) 0) (* 0 (sqrt PI)))) into 0 1544092548.392 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (+ (* 0 (* (sqrt 2) (sqrt PI))) (* 0 0))) into 0 1544092548.392 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.392 * [misc]backup-simplify: Simplify 0 into 0 1544092548.392 * [misc]backup-simplify: Simplify 0 into 0 1544092548.393 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* n (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.393 * [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)) 1544092548.406 * [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 1544092548.406 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544092548.406 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.406 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.409 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log PI)))))) into 0 1544092548.419 * [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))) 1544092548.419 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.421 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 n))))) into 0 1544092548.426 * [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 1544092548.426 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.426 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.426 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.427 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1544092548.427 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.427 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* -1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* 2 n))))))) into 0 1544092548.430 * [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)) 1544092548.438 * [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)))))))) 1544092548.439 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.452 * [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))))))) 1544092548.471 * [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)))))))))))))))))))))) 1544092548.471 * [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 1544092548.472 * [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 1544092548.472 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))))) in n 1544092548.472 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.472 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.472 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n)))) in n 1544092548.472 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.472 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.472 * [misc]backup-simplify: Simplify PI into PI 1544092548.472 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.473 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (* (log PI) n))) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.473 * [misc]backup-simplify: Simplify 2 into 2 1544092548.473 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.473 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.473 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (* (log PI) n)) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.473 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.474 * [misc]backup-simplify: Simplify 2 into 2 1544092548.474 * [misc]taylor: Taking taylor expansion of n in n 1544092548.474 * [misc]backup-simplify: Simplify 0 into 0 1544092548.474 * [misc]backup-simplify: Simplify 1 into 1 1544092548.474 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.474 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.474 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.474 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.474 * [misc]taylor: Taking taylor expansion of (* (log PI) n) in n 1544092548.474 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.474 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.474 * [misc]backup-simplify: Simplify PI into PI 1544092548.475 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.475 * [misc]taylor: Taking taylor expansion of n in n 1544092548.475 * [misc]backup-simplify: Simplify 0 into 0 1544092548.475 * [misc]backup-simplify: Simplify 1 into 1 1544092548.475 * [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 1544092548.475 * [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 1544092548.475 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI))) in n 1544092548.475 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.475 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.475 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) (sqrt PI)) in n 1544092548.475 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 3) n)) in n 1544092548.475 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.475 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.475 * [misc]backup-simplify: Simplify 2 into 2 1544092548.475 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.476 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.476 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 3) n) in n 1544092548.476 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 3) in n 1544092548.476 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.476 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.476 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.476 * [misc]backup-simplify: Simplify 2 into 2 1544092548.476 * [misc]taylor: Taking taylor expansion of n in n 1544092548.476 * [misc]backup-simplify: Simplify 0 into 0 1544092548.476 * [misc]backup-simplify: Simplify 1 into 1 1544092548.476 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.476 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.476 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.477 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.477 * [misc]taylor: Taking taylor expansion of n in n 1544092548.477 * [misc]backup-simplify: Simplify 0 into 0 1544092548.477 * [misc]backup-simplify: Simplify 1 into 1 1544092548.477 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.477 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.477 * [misc]backup-simplify: Simplify PI into PI 1544092548.477 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.478 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.478 * [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 1544092548.478 * [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 1544092548.478 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow n 4)) (sqrt PI))) in n 1544092548.478 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.478 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.478 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow n 4)) (sqrt PI)) in n 1544092548.478 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow n 4)) in n 1544092548.478 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.478 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.478 * [misc]backup-simplify: Simplify 2 into 2 1544092548.478 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.478 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.478 * [misc]taylor: Taking taylor expansion of (pow n 4) in n 1544092548.478 * [misc]taylor: Taking taylor expansion of n in n 1544092548.478 * [misc]backup-simplify: Simplify 0 into 0 1544092548.478 * [misc]backup-simplify: Simplify 1 into 1 1544092548.479 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.479 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.479 * [misc]backup-simplify: Simplify PI into PI 1544092548.479 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.479 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.479 * [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 1544092548.480 * [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 1544092548.480 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI))) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.480 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.480 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) (sqrt PI)) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (log PI) (pow n 2)))) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.480 * [misc]backup-simplify: Simplify 2 into 2 1544092548.480 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.480 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.480 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (log PI) (pow n 2))) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.480 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.480 * [misc]backup-simplify: Simplify 2 into 2 1544092548.480 * [misc]taylor: Taking taylor expansion of n in n 1544092548.480 * [misc]backup-simplify: Simplify 0 into 0 1544092548.480 * [misc]backup-simplify: Simplify 1 into 1 1544092548.481 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.481 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.481 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.481 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 2)) in n 1544092548.481 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.481 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.481 * [misc]backup-simplify: Simplify PI into PI 1544092548.481 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.481 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.481 * [misc]taylor: Taking taylor expansion of n in n 1544092548.481 * [misc]backup-simplify: Simplify 0 into 0 1544092548.481 * [misc]backup-simplify: Simplify 1 into 1 1544092548.481 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.481 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.481 * [misc]backup-simplify: Simplify PI into PI 1544092548.482 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.482 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.482 * [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 1544092548.482 * [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 1544092548.482 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI))) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.483 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.483 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) (sqrt PI)) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log (* 2 n)) 2) (pow n 2))) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.483 * [misc]backup-simplify: Simplify 2 into 2 1544092548.483 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.483 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.483 * [misc]taylor: Taking taylor expansion of (* (pow (log (* 2 n)) 2) (pow n 2)) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 n)) 2) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.483 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.483 * [misc]backup-simplify: Simplify 2 into 2 1544092548.483 * [misc]taylor: Taking taylor expansion of n in n 1544092548.483 * [misc]backup-simplify: Simplify 0 into 0 1544092548.483 * [misc]backup-simplify: Simplify 1 into 1 1544092548.483 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.483 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.484 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.484 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.484 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.484 * [misc]taylor: Taking taylor expansion of n in n 1544092548.484 * [misc]backup-simplify: Simplify 0 into 0 1544092548.484 * [misc]backup-simplify: Simplify 1 into 1 1544092548.484 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.484 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.484 * [misc]backup-simplify: Simplify PI into PI 1544092548.484 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.485 * [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 1544092548.485 * [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 1544092548.485 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI))) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.485 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.485 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) (sqrt PI)) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 2) (pow n 2))) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.485 * [misc]backup-simplify: Simplify 2 into 2 1544092548.485 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.485 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.485 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) (pow n 2)) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.485 * [misc]backup-simplify: Simplify PI into PI 1544092548.485 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.485 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of n in n 1544092548.485 * [misc]backup-simplify: Simplify 0 into 0 1544092548.485 * [misc]backup-simplify: Simplify 1 into 1 1544092548.485 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.485 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.485 * [misc]backup-simplify: Simplify PI into PI 1544092548.486 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.486 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.486 * [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 1544092548.486 * [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 1544092548.486 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI))) in n 1544092548.486 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.486 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.486 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (pow (log PI) 3) n)) (sqrt PI)) in n 1544092548.486 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (pow (log PI) 3) n)) in n 1544092548.486 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.486 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.486 * [misc]backup-simplify: Simplify 2 into 2 1544092548.486 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.486 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.486 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 3) n) in n 1544092548.487 * [misc]taylor: Taking taylor expansion of (pow (log PI) 3) in n 1544092548.487 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.487 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.487 * [misc]backup-simplify: Simplify PI into PI 1544092548.487 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.487 * [misc]taylor: Taking taylor expansion of n in n 1544092548.487 * [misc]backup-simplify: Simplify 0 into 0 1544092548.487 * [misc]backup-simplify: Simplify 1 into 1 1544092548.487 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.487 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.487 * [misc]backup-simplify: Simplify PI into PI 1544092548.487 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.487 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.487 * [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 1544092548.487 * [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 1544092548.488 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))))) in n 1544092548.488 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.488 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.488 * [misc]taylor: Taking taylor expansion of (* (sqrt PI) (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n)))) in n 1544092548.488 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.488 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.488 * [misc]backup-simplify: Simplify PI into PI 1544092548.488 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.488 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.488 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (* (pow (log PI) 2) n))) in n 1544092548.488 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.488 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.488 * [misc]backup-simplify: Simplify 2 into 2 1544092548.488 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.489 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.489 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (* (pow (log PI) 2) n)) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.489 * [misc]backup-simplify: Simplify 2 into 2 1544092548.489 * [misc]taylor: Taking taylor expansion of n in n 1544092548.489 * [misc]backup-simplify: Simplify 0 into 0 1544092548.489 * [misc]backup-simplify: Simplify 1 into 1 1544092548.489 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.489 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.489 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.489 * [misc]taylor: Taking taylor expansion of (* (pow (log PI) 2) n) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (pow (log PI) 2) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.489 * [misc]backup-simplify: Simplify PI into PI 1544092548.489 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.489 * [misc]taylor: Taking taylor expansion of n in n 1544092548.489 * [misc]backup-simplify: Simplify 0 into 0 1544092548.489 * [misc]backup-simplify: Simplify 1 into 1 1544092548.489 * [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 1544092548.489 * [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 1544092548.489 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI))) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.489 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.489 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log PI) (pow n 3))) (sqrt PI)) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log PI) (pow n 3))) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.489 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.490 * [misc]backup-simplify: Simplify 2 into 2 1544092548.490 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.490 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.490 * [misc]taylor: Taking taylor expansion of (* (log PI) (pow n 3)) in n 1544092548.490 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.490 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.490 * [misc]backup-simplify: Simplify PI into PI 1544092548.490 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.490 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.490 * [misc]taylor: Taking taylor expansion of n in n 1544092548.490 * [misc]backup-simplify: Simplify 0 into 0 1544092548.490 * [misc]backup-simplify: Simplify 1 into 1 1544092548.490 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.490 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.490 * [misc]backup-simplify: Simplify PI into PI 1544092548.490 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.491 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.491 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)))) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI))) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.491 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.491 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) (sqrt PI)) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow n 3))) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.491 * [misc]backup-simplify: Simplify 2 into 2 1544092548.491 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.491 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.491 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow n 3)) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1544092548.491 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.491 * [misc]backup-simplify: Simplify 2 into 2 1544092548.491 * [misc]taylor: Taking taylor expansion of n in n 1544092548.491 * [misc]backup-simplify: Simplify 0 into 0 1544092548.491 * [misc]backup-simplify: Simplify 1 into 1 1544092548.491 * [misc]backup-simplify: Simplify (* 2 0) into 0 1544092548.492 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1544092548.492 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.492 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.492 * [misc]taylor: Taking taylor expansion of n in n 1544092548.492 * [misc]backup-simplify: Simplify 0 into 0 1544092548.492 * [misc]backup-simplify: Simplify 1 into 1 1544092548.492 * [misc]taylor: Taking taylor expansion of (sqrt PI) in n 1544092548.492 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.492 * [misc]backup-simplify: Simplify PI into PI 1544092548.492 * [misc]backup-simplify: Simplify (sqrt PI) into (sqrt PI) 1544092548.492 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt PI))) into 0 1544092548.493 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.493 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.493 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092548.494 * [misc]backup-simplify: Simplify (* (log PI) 0) into 0 1544092548.494 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 2) 0) into 0 1544092548.494 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.494 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1544092548.494 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.495 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.496 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (+ (log 2) (log n))) into (pow (+ (log 2) (log n)) 2) 1544092548.496 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (+ (log 2) (log n)) 2)) into (pow (+ (log 2) (log n)) 3) 1544092548.496 * [misc]backup-simplify: Simplify (* (pow (+ (log 2) (log n)) 3) 0) into 0 1544092548.496 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.497 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.497 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.498 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544092548.499 * [misc]backup-simplify: Simplify (* (log PI) (pow (log PI) 2)) into (pow (log PI) 3) 1544092548.500 * [misc]backup-simplify: Simplify (* (pow (log PI) 3) 0) into 0 1544092548.500 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.500 * [misc]backup-simplify: Simplify (* 0 (sqrt PI)) into 0 1544092548.501 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.501 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.502 * [misc]backup-simplify: Simplify (* (log PI) (log PI)) into (pow (log PI) 2) 1544092548.502 * [misc]backup-simplify: Simplify (* (pow (log PI) 2) 0) into 0 1544092548.503 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 0) into 0 1544092548.503 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1544092548.503 * [misc]backup-simplify: Simplify (* (sqrt PI) 0) into 0 1544092548.503 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.504 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.505 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.506 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.506 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.506 * [misc]backup-simplify: Simplify 0 into 0 1544092548.506 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.509 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.510 * [misc]backup-simplify: Simplify (+ (* (log PI) 1) (* 0 0)) into (log PI) 1544092548.510 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.512 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.513 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) (log PI)) (* 0 0)) into (+ (* (log 2) (log PI)) (* (log PI) (log n))) 1544092548.514 * [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)))) 1544092548.516 * [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))) 1544092548.518 * [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)))))) 1544092548.521 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.522 * [misc]backup-simplify: Simplify (+ (* (log PI) 0) (* 0 (log PI))) into 0 1544092548.523 * [misc]backup-simplify: Simplify (+ (* (pow (log PI) 2) 1) (* 0 0)) into (pow (log PI) 2) 1544092548.525 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (pow (log PI) 2)) (* 0 0)) into (* (sqrt 2) (pow (log PI) 2)) 1544092548.527 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI))) into (* (* (sqrt 2) (pow (log PI) 2)) (sqrt PI)) 1544092548.529 * [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)))) 1544092548.530 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.530 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1544092548.532 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.533 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1544092548.533 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (+ (log 2) (log n)))) into 0 1544092548.534 * [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))) 1544092548.535 * [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)))))) 1544092548.537 * [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))))) 1544092548.540 * [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)))))))) 1544092548.543 * [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)))))))) 1544092548.546 * [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)))))))) 1544092548.548 * [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)))))))) 1544092548.552 * [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)))))))))) 1544092548.557 * [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)))))))))) 1544092548.563 * [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)))))))))))))) 1544092548.573 * [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)))))))))))))) 1544092548.579 * [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)))))))))))))) 1544092548.585 * [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)))))))))))))) 1544092548.592 * [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)))))))))))))) 1544092548.598 * [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)))))))))))))) 1544092548.605 * [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)))))))))))))) 1544092548.617 * [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)))))))))))))))))))))) 1544092548.618 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 k) 2)))) (* (/ (sqrt (sqrt (/ 1 k))) (sqrt (* (/ 1 n) 2))) (/ (sqrt (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))) 1544092548.618 * [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 1544092548.618 * [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 1544092548.618 * [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 1544092548.618 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.618 * [misc]backup-simplify: Simplify 2 into 2 1544092548.618 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.618 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.618 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.618 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.618 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of k in n 1544092548.618 * [misc]backup-simplify: Simplify k into k 1544092548.618 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.618 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.618 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.618 * [misc]backup-simplify: Simplify 2 into 2 1544092548.619 * [misc]taylor: Taking taylor expansion of n in n 1544092548.619 * [misc]backup-simplify: Simplify 0 into 0 1544092548.619 * [misc]backup-simplify: Simplify 1 into 1 1544092548.619 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.619 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.619 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.619 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.619 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.619 * [misc]backup-simplify: Simplify (* (- (* 1/2 (/ 1 k))) (- (log 2) (log n))) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.620 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.620 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.620 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.620 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.620 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of k in n 1544092548.620 * [misc]backup-simplify: Simplify k into k 1544092548.620 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.620 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.620 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.620 * [misc]backup-simplify: Simplify PI into PI 1544092548.620 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.620 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.620 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.620 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092548.621 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092548.621 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.621 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in n 1544092548.621 * [misc]taylor: Taking taylor expansion of (/ k n) in n 1544092548.621 * [misc]taylor: Taking taylor expansion of k in n 1544092548.621 * [misc]backup-simplify: Simplify k into k 1544092548.621 * [misc]taylor: Taking taylor expansion of n in n 1544092548.621 * [misc]backup-simplify: Simplify 0 into 0 1544092548.621 * [misc]backup-simplify: Simplify 1 into 1 1544092548.621 * [misc]backup-simplify: Simplify (/ k 1) into k 1544092548.621 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.621 * [misc]backup-simplify: Simplify (/ k (* 2 (sqrt 0))) into (* +nan.0 k) 1544092548.621 * [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 1544092548.621 * [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 1544092548.622 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.622 * [misc]backup-simplify: Simplify 2 into 2 1544092548.622 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.622 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.622 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.622 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.622 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of k in k 1544092548.622 * [misc]backup-simplify: Simplify 0 into 0 1544092548.622 * [misc]backup-simplify: Simplify 1 into 1 1544092548.622 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.622 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092548.622 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.622 * [misc]backup-simplify: Simplify 2 into 2 1544092548.622 * [misc]taylor: Taking taylor expansion of n in k 1544092548.622 * [misc]backup-simplify: Simplify n into n 1544092548.622 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092548.622 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092548.623 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.623 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.623 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092548.623 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544092548.623 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.623 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.623 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.623 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of k in k 1544092548.623 * [misc]backup-simplify: Simplify 0 into 0 1544092548.623 * [misc]backup-simplify: Simplify 1 into 1 1544092548.623 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.623 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.623 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.623 * [misc]backup-simplify: Simplify PI into PI 1544092548.624 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.624 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.624 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.624 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092548.624 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092548.625 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.625 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of k in k 1544092548.625 * [misc]backup-simplify: Simplify 0 into 0 1544092548.625 * [misc]backup-simplify: Simplify 1 into 1 1544092548.625 * [misc]taylor: Taking taylor expansion of n in k 1544092548.625 * [misc]backup-simplify: Simplify n into n 1544092548.625 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092548.625 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.625 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544092548.625 * [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 1544092548.625 * [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 1544092548.625 * [misc]taylor: Taking taylor expansion of (sqrt 2) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.625 * [misc]backup-simplify: Simplify 2 into 2 1544092548.625 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.625 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.625 * [misc]taylor: Taking taylor expansion of (* (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- (* 1/2 (/ 1 k)))) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1544092548.625 * [misc]taylor: Taking taylor expansion of (* (- (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (- (* 1/2 (/ 1 k))) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of k in k 1544092548.626 * [misc]backup-simplify: Simplify 0 into 0 1544092548.626 * [misc]backup-simplify: Simplify 1 into 1 1544092548.626 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.626 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of 2 in k 1544092548.626 * [misc]backup-simplify: Simplify 2 into 2 1544092548.626 * [misc]taylor: Taking taylor expansion of n in k 1544092548.626 * [misc]backup-simplify: Simplify n into n 1544092548.626 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1544092548.626 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1544092548.626 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.626 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.626 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1544092548.626 * [misc]backup-simplify: Simplify (exp (* (- (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (exp (* -1/2 (/ (log (/ 2 n)) k))) 1544092548.626 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.626 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.626 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.626 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.626 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.627 * [misc]taylor: Taking taylor expansion of k in k 1544092548.627 * [misc]backup-simplify: Simplify 0 into 0 1544092548.627 * [misc]backup-simplify: Simplify 1 into 1 1544092548.627 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.627 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.627 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.627 * [misc]backup-simplify: Simplify PI into PI 1544092548.627 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.627 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.627 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1544092548.627 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1544092548.628 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1544092548.628 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.628 * [misc]taylor: Taking taylor expansion of (sqrt (/ k n)) in k 1544092548.628 * [misc]taylor: Taking taylor expansion of (/ k n) in k 1544092548.628 * [misc]taylor: Taking taylor expansion of k in k 1544092548.628 * [misc]backup-simplify: Simplify 0 into 0 1544092548.628 * [misc]backup-simplify: Simplify 1 into 1 1544092548.628 * [misc]taylor: Taking taylor expansion of n in k 1544092548.628 * [misc]backup-simplify: Simplify n into n 1544092548.628 * [misc]backup-simplify: Simplify (/ 1 n) into (/ 1 n) 1544092548.628 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.628 * [misc]backup-simplify: Simplify (/ (/ 1 n) (* 2 (sqrt 0))) into (/ +nan.0 n) 1544092548.630 * [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))))) 1544092548.631 * [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)))))) 1544092548.631 * [misc]backup-simplify: Simplify (* (* (exp (* -1/2 (/ (log (/ 2 n)) k))) (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1544092548.631 * [misc]taylor: Taking taylor expansion of 0 in n 1544092548.631 * [misc]backup-simplify: Simplify 0 into 0 1544092548.631 * [misc]backup-simplify: Simplify (+ (* (exp (* -1/2 (/ (log (/ 2 n)) k))) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544092548.631 * [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 1544092548.632 * [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))) 1544092548.632 * [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 1544092548.632 * [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 1544092548.632 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.632 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.632 * [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 1544092548.632 * [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 1544092548.632 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.632 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.632 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.632 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.632 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.632 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.632 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.632 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.632 * [misc]backup-simplify: Simplify 2 into 2 1544092548.632 * [misc]taylor: Taking taylor expansion of n in n 1544092548.632 * [misc]backup-simplify: Simplify 0 into 0 1544092548.632 * [misc]backup-simplify: Simplify 1 into 1 1544092548.632 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.632 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.632 * [misc]taylor: Taking taylor expansion of k in n 1544092548.632 * [misc]backup-simplify: Simplify k into k 1544092548.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.633 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.633 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.634 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.634 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.634 * [misc]backup-simplify: Simplify 2 into 2 1544092548.634 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.634 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.634 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.634 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.634 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.634 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of k in n 1544092548.634 * [misc]backup-simplify: Simplify k into k 1544092548.634 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.634 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.634 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.634 * [misc]backup-simplify: Simplify PI into PI 1544092548.634 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.634 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.634 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.635 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092548.635 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092548.635 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.635 * [misc]taylor: Taking taylor expansion of n in n 1544092548.635 * [misc]backup-simplify: Simplify 0 into 0 1544092548.635 * [misc]backup-simplify: Simplify 1 into 1 1544092548.635 * [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))))) 1544092548.636 * [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)))))) 1544092548.636 * [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))))) 1544092548.636 * [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)))))) 1544092548.637 * [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))))))) 1544092548.637 * [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))))))) 1544092548.637 * [misc]backup-simplify: Simplify 0 into 0 1544092548.637 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)))) into 0 1544092548.638 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 n) 2) (+)) (* 2 0)) into (/ +nan.0 (pow n 2)) 1544092548.638 * [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 1544092548.639 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.639 * [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 1544092548.640 * [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)))) 1544092548.640 * [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 1544092548.640 * [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 1544092548.640 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.640 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.640 * [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 1544092548.640 * [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 1544092548.640 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.640 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.640 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.640 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.640 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.640 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.640 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.640 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.640 * [misc]backup-simplify: Simplify 2 into 2 1544092548.640 * [misc]taylor: Taking taylor expansion of n in n 1544092548.640 * [misc]backup-simplify: Simplify 0 into 0 1544092548.640 * [misc]backup-simplify: Simplify 1 into 1 1544092548.640 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.640 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.640 * [misc]taylor: Taking taylor expansion of k in n 1544092548.640 * [misc]backup-simplify: Simplify k into k 1544092548.640 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.641 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.641 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.641 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.641 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.641 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.641 * [misc]backup-simplify: Simplify 2 into 2 1544092548.641 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.641 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.641 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092548.641 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.642 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.642 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.642 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.642 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.642 * [misc]taylor: Taking taylor expansion of k in n 1544092548.642 * [misc]backup-simplify: Simplify k into k 1544092548.642 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.642 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.642 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.642 * [misc]backup-simplify: Simplify PI into PI 1544092548.642 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.642 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.642 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.642 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092548.642 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092548.642 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.642 * [misc]taylor: Taking taylor expansion of (pow n 2) in n 1544092548.643 * [misc]taylor: Taking taylor expansion of n in n 1544092548.643 * [misc]backup-simplify: Simplify 0 into 0 1544092548.643 * [misc]backup-simplify: Simplify 1 into 1 1544092548.643 * [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))))) 1544092548.643 * [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)))))) 1544092548.643 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.644 * [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))))) 1544092548.645 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.645 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.645 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.645 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.645 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.646 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544092548.648 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.648 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544092548.648 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092548.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.650 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544092548.650 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544092548.651 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.651 * [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 1544092548.652 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.652 * [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 1544092548.653 * [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 1544092548.653 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.653 * [misc]backup-simplify: Simplify 0 into 0 1544092548.654 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.654 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.655 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.655 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.655 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.655 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544092548.656 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.657 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544092548.657 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092548.659 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.660 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544092548.660 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544092548.661 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.662 * [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 1544092548.662 * [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 1544092548.663 * [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 1544092548.663 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.663 * [misc]backup-simplify: Simplify 0 into 0 1544092548.663 * [misc]backup-simplify: Simplify 0 into 0 1544092548.664 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ 1 n) (/ 0 n)) (* 0 (/ 0 n)))) into 0 1544092548.664 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* (/ +nan.0 n) (/ +nan.0 (pow n 2)))))) (* 2 0)) into (/ +nan.0 (pow n 3)) 1544092548.664 * [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 1544092548.665 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 1544092548.665 * [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 1544092548.666 * [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)))) 1544092548.666 * [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 1544092548.666 * [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 1544092548.666 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.666 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.666 * [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 1544092548.667 * [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 1544092548.667 * [misc]taylor: Taking taylor expansion of (exp (* -1/2 (/ (log (/ 2 n)) k))) in n 1544092548.667 * [misc]taylor: Taking taylor expansion of (* -1/2 (/ (log (/ 2 n)) k)) in n 1544092548.667 * [misc]taylor: Taking taylor expansion of -1/2 in n 1544092548.667 * [misc]backup-simplify: Simplify -1/2 into -1/2 1544092548.667 * [misc]taylor: Taking taylor expansion of (/ (log (/ 2 n)) k) in n 1544092548.667 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1544092548.667 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1544092548.667 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.667 * [misc]backup-simplify: Simplify 2 into 2 1544092548.667 * [misc]taylor: Taking taylor expansion of n in n 1544092548.667 * [misc]backup-simplify: Simplify 0 into 0 1544092548.667 * [misc]backup-simplify: Simplify 1 into 1 1544092548.667 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1544092548.667 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1544092548.667 * [misc]taylor: Taking taylor expansion of k in n 1544092548.667 * [misc]backup-simplify: Simplify k into k 1544092548.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.668 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1544092548.668 * [misc]backup-simplify: Simplify (/ (- (log 2) (log n)) k) into (/ (- (log 2) (log n)) k) 1544092548.668 * [misc]backup-simplify: Simplify (* -1/2 (/ (- (log 2) (log n)) k)) into (* -1/2 (/ (- (log 2) (log n)) k)) 1544092548.669 * [misc]backup-simplify: Simplify (exp (* -1/2 (/ (- (log 2) (log n)) k))) into (exp (* -1/2 (/ (- (log 2) (log n)) k))) 1544092548.669 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow PI (- 1/2 (* 1/2 (/ 1 k))))) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of 2 in n 1544092548.669 * [misc]backup-simplify: Simplify 2 into 2 1544092548.669 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1544092548.669 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1544092548.669 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.669 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.669 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.669 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.669 * [misc]taylor: Taking taylor expansion of k in n 1544092548.669 * [misc]backup-simplify: Simplify k into k 1544092548.670 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.670 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.670 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.670 * [misc]backup-simplify: Simplify PI into PI 1544092548.670 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.670 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.670 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1544092548.670 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1544092548.671 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1544092548.671 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1544092548.671 * [misc]taylor: Taking taylor expansion of (pow n 3) in n 1544092548.671 * [misc]taylor: Taking taylor expansion of n in n 1544092548.671 * [misc]backup-simplify: Simplify 0 into 0 1544092548.671 * [misc]backup-simplify: Simplify 1 into 1 1544092548.671 * [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))))) 1544092548.672 * [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)))))) 1544092548.672 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.672 * [misc]backup-simplify: Simplify (* 1 1) into 1 1544092548.672 * [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))))) 1544092548.674 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.674 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.674 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.674 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.674 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.675 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1544092548.677 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092548.677 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.677 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092548.677 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.677 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.678 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544092548.679 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.680 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.681 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.681 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544092548.681 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1544092548.683 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1544092548.683 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)))) into 0 1544092548.683 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (* 0 (/ (- (log 2) (log n)) k))) into 0 1544092548.684 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.684 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k)))))) into 0 1544092548.684 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.687 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092548.687 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.687 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544092548.688 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.689 * [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 1544092548.689 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.689 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.689 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.690 * [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 1544092548.690 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 1544092548.690 * [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 1544092548.691 * [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 1544092548.692 * [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 1544092548.692 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.692 * [misc]backup-simplify: Simplify 0 into 0 1544092548.694 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092548.694 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.695 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092548.695 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.695 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.695 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544092548.697 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.697 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1544092548.698 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (+ (* 0 0) (* 0 (pow PI (- 1/2 (* 1/2 (/ 1 k))))))) into 0 1544092548.698 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.701 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1544092548.701 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log 2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.701 * [misc]backup-simplify: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (/ (- (log 2) (log n)) k)))) into 0 1544092548.702 * [misc]backup-simplify: Simplify (* (exp (* -1/2 (/ (- (log 2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.703 * [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 1544092548.703 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1544092548.704 * [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 1544092548.704 * [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 1544092548.704 * [misc]backup-simplify: Simplify (- 0) into 0 1544092548.704 * [misc]backup-simplify: Simplify 0 into 0 1544092548.705 * [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)) 1544092548.706 * [misc]backup-simplify: Simplify (/ (exp (* (log PI) (- 1/2 (/ (/ 1 (- k)) 2)))) (* (/ (sqrt (sqrt (/ 1 (- k)))) (sqrt (* (/ 1 (- n)) 2))) (/ (sqrt (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))) 1544092548.706 * [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 1544092548.706 * [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 1544092548.706 * [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 1544092548.706 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.706 * [misc]backup-simplify: Simplify -2 into -2 1544092548.706 * [misc]taylor: Taking taylor expansion of n in n 1544092548.706 * [misc]backup-simplify: Simplify 0 into 0 1544092548.706 * [misc]backup-simplify: Simplify 1 into 1 1544092548.706 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.706 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.706 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.706 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.706 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.706 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of k in n 1544092548.706 * [misc]backup-simplify: Simplify k into k 1544092548.706 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.706 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.706 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.707 * [misc]backup-simplify: Simplify -2 into -2 1544092548.707 * [misc]taylor: Taking taylor expansion of n in n 1544092548.707 * [misc]backup-simplify: Simplify 0 into 0 1544092548.707 * [misc]backup-simplify: Simplify 1 into 1 1544092548.707 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.707 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.707 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.707 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.707 * [misc]backup-simplify: Simplify (* (/ 1/2 k) (- (log -2) (log n))) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.708 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.708 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.708 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of k in n 1544092548.708 * [misc]backup-simplify: Simplify k into k 1544092548.708 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.708 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.708 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.708 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.708 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.708 * [misc]backup-simplify: Simplify PI into PI 1544092548.708 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.708 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.708 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092548.709 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092548.709 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092548.709 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1544092548.709 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1544092548.709 * [misc]taylor: Taking taylor expansion of -1 in n 1544092548.709 * [misc]backup-simplify: Simplify -1 into -1 1544092548.709 * [misc]taylor: Taking taylor expansion of k in n 1544092548.709 * [misc]backup-simplify: Simplify k into k 1544092548.709 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1544092548.709 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1544092548.710 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1544092548.710 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1544092548.710 * [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))) 1544092548.710 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.713 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.713 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.713 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.713 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.714 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544092548.715 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.715 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.717 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.718 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.718 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.718 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.718 * [misc]backup-simplify: Simplify (+ (* (/ 1/2 k) 0) (* 0 (- (log -2) (log n)))) into 0 1544092548.720 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.720 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.721 * [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))))) 1544092548.721 * [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)))) 1544092548.721 * [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 1544092548.721 * [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 1544092548.721 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.721 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.721 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.721 * [misc]backup-simplify: Simplify -2 into -2 1544092548.721 * [misc]taylor: Taking taylor expansion of n in k 1544092548.721 * [misc]backup-simplify: Simplify n into n 1544092548.721 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.721 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.722 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.722 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.722 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.722 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.722 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of k in k 1544092548.722 * [misc]backup-simplify: Simplify 0 into 0 1544092548.722 * [misc]backup-simplify: Simplify 1 into 1 1544092548.722 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.722 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.722 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.722 * [misc]backup-simplify: Simplify -2 into -2 1544092548.722 * [misc]taylor: Taking taylor expansion of n in k 1544092548.722 * [misc]backup-simplify: Simplify n into n 1544092548.722 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.722 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092548.723 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.723 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092548.723 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544092548.723 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.723 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of k in k 1544092548.723 * [misc]backup-simplify: Simplify 0 into 0 1544092548.723 * [misc]backup-simplify: Simplify 1 into 1 1544092548.723 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.723 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.723 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.723 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.723 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.723 * [misc]backup-simplify: Simplify PI into PI 1544092548.724 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.724 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.724 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092548.724 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092548.725 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092548.725 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.725 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.725 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.725 * [misc]backup-simplify: Simplify -1 into -1 1544092548.725 * [misc]taylor: Taking taylor expansion of k in k 1544092548.725 * [misc]backup-simplify: Simplify 0 into 0 1544092548.725 * [misc]backup-simplify: Simplify 1 into 1 1544092548.725 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.725 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.726 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.726 * [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))) 1544092548.726 * [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)))) 1544092548.727 * [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))))) 1544092548.727 * [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 1544092548.727 * [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 1544092548.727 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.727 * [misc]backup-simplify: Simplify -2 into -2 1544092548.727 * [misc]taylor: Taking taylor expansion of n in k 1544092548.727 * [misc]backup-simplify: Simplify n into n 1544092548.727 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.727 * [misc]backup-simplify: Simplify (sqrt (/ -2 n)) into (sqrt (/ -2 n)) 1544092548.727 * [misc]backup-simplify: Simplify (- (/ 0 n) (+ (* (/ -2 n) (/ 0 n)))) into 0 1544092548.727 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -2 n)))) into 0 1544092548.727 * [misc]taylor: Taking taylor expansion of (* (pow (/ -2 n) (* 1/2 (/ 1 k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (* 1/2 (/ 1 k))) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of (* (* 1/2 (/ 1 k)) (log (/ -2 n))) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.727 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.727 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.727 * [misc]taylor: Taking taylor expansion of k in k 1544092548.728 * [misc]backup-simplify: Simplify 0 into 0 1544092548.728 * [misc]backup-simplify: Simplify 1 into 1 1544092548.728 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.728 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1544092548.728 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1544092548.728 * [misc]taylor: Taking taylor expansion of -2 in k 1544092548.728 * [misc]backup-simplify: Simplify -2 into -2 1544092548.728 * [misc]taylor: Taking taylor expansion of n in k 1544092548.728 * [misc]backup-simplify: Simplify n into n 1544092548.728 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1544092548.728 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1544092548.728 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.728 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1544092548.728 * [misc]backup-simplify: Simplify (exp (* (* 1/2 (/ 1 k)) (log (/ -2 n)))) into (exp (* 1/2 (/ (log (/ -2 n)) k))) 1544092548.728 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1544092548.728 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1544092548.728 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1544092548.728 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1544092548.729 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1544092548.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.729 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.729 * [misc]taylor: Taking taylor expansion of k in k 1544092548.729 * [misc]backup-simplify: Simplify 0 into 0 1544092548.729 * [misc]backup-simplify: Simplify 1 into 1 1544092548.729 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.729 * [misc]taylor: Taking taylor expansion of 1/2 in k 1544092548.729 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.729 * [misc]taylor: Taking taylor expansion of (log PI) in k 1544092548.729 * [misc]taylor: Taking taylor expansion of PI in k 1544092548.729 * [misc]backup-simplify: Simplify PI into PI 1544092548.729 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.729 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1544092548.729 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1544092548.730 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1544092548.730 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092548.730 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.730 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.730 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.730 * [misc]backup-simplify: Simplify -1 into -1 1544092548.730 * [misc]taylor: Taking taylor expansion of k in k 1544092548.730 * [misc]backup-simplify: Simplify 0 into 0 1544092548.730 * [misc]backup-simplify: Simplify 1 into 1 1544092548.731 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.731 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.731 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.731 * [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))) 1544092548.732 * [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)))) 1544092548.732 * [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))))) 1544092548.732 * [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 1544092548.732 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.732 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.732 * [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 1544092548.732 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.732 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.732 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.732 * [misc]backup-simplify: Simplify -2 into -2 1544092548.732 * [misc]taylor: Taking taylor expansion of n in n 1544092548.732 * [misc]backup-simplify: Simplify 0 into 0 1544092548.732 * [misc]backup-simplify: Simplify 1 into 1 1544092548.733 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.733 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.733 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.733 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092548.733 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544092548.733 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544092548.733 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.733 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.733 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544092548.733 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.733 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.734 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.734 * [misc]backup-simplify: Simplify -2 into -2 1544092548.734 * [misc]taylor: Taking taylor expansion of n in n 1544092548.734 * [misc]backup-simplify: Simplify 0 into 0 1544092548.734 * [misc]backup-simplify: Simplify 1 into 1 1544092548.734 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.734 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.734 * [misc]taylor: Taking taylor expansion of k in n 1544092548.734 * [misc]backup-simplify: Simplify k into k 1544092548.734 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.735 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.735 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544092548.735 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.735 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.735 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092548.735 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.736 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of k in n 1544092548.736 * [misc]backup-simplify: Simplify k into k 1544092548.736 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.736 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.736 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.736 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.736 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.736 * [misc]backup-simplify: Simplify PI into PI 1544092548.736 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.736 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.736 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092548.737 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092548.737 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092548.739 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.739 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.740 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.740 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.740 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544092548.742 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.742 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.744 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.745 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544092548.745 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544092548.746 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.747 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.747 * [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))) 1544092548.748 * [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))))) 1544092548.748 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.749 * [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))))) 1544092548.749 * [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))))) 1544092548.749 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (log (/ -2 n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.750 * [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 1544092548.750 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.752 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.752 * [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)))))) 1544092548.752 * [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 1544092548.752 * [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 1544092548.752 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1544092548.752 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1544092548.753 * [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 1544092548.753 * [misc]taylor: Taking taylor expansion of (sqrt (/ -2 n)) in n 1544092548.753 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.753 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.753 * [misc]backup-simplify: Simplify -2 into -2 1544092548.753 * [misc]taylor: Taking taylor expansion of n in n 1544092548.753 * [misc]backup-simplify: Simplify 0 into 0 1544092548.753 * [misc]backup-simplify: Simplify 1 into 1 1544092548.753 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.753 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.753 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 0))) into +nan.0 1544092548.754 * [misc]taylor: Taking taylor expansion of (* (exp (* 1/2 (/ (log (/ -2 n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of (exp (* 1/2 (/ (log (/ -2 n)) k))) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ (log (/ -2 n)) k)) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.754 * [misc]taylor: Taking taylor expansion of (/ (log (/ -2 n)) k) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1544092548.754 * [misc]taylor: Taking taylor expansion of -2 in n 1544092548.754 * [misc]backup-simplify: Simplify -2 into -2 1544092548.754 * [misc]taylor: Taking taylor expansion of n in n 1544092548.754 * [misc]backup-simplify: Simplify 0 into 0 1544092548.754 * [misc]backup-simplify: Simplify 1 into 1 1544092548.754 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1544092548.754 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1544092548.754 * [misc]taylor: Taking taylor expansion of k in n 1544092548.754 * [misc]backup-simplify: Simplify k into k 1544092548.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.755 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1544092548.755 * [misc]backup-simplify: Simplify (/ (- (log -2) (log n)) k) into (/ (- (log -2) (log n)) k) 1544092548.755 * [misc]backup-simplify: Simplify (* 1/2 (/ (- (log -2) (log n)) k)) into (* 1/2 (/ (- (log -2) (log n)) k)) 1544092548.756 * [misc]backup-simplify: Simplify (exp (* 1/2 (/ (- (log -2) (log n)) k))) into (exp (* 1/2 (/ (- (log -2) (log n)) k))) 1544092548.756 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.756 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of k in n 1544092548.756 * [misc]backup-simplify: Simplify k into k 1544092548.756 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1544092548.756 * [misc]taylor: Taking taylor expansion of 1/2 in n 1544092548.756 * [misc]backup-simplify: Simplify 1/2 into 1/2 1544092548.756 * [misc]taylor: Taking taylor expansion of (log PI) in n 1544092548.756 * [misc]taylor: Taking taylor expansion of PI in n 1544092548.756 * [misc]backup-simplify: Simplify PI into PI 1544092548.756 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1544092548.757 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1544092548.757 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1544092548.757 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1544092548.757 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1544092548.760 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1544092548.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1544092548.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1544092548.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.761 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1544092548.762 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.765 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1544092548.765 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)))) into 0 1544092548.765 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ (- (log -2) (log n)) k))) into 0 1544092548.767 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.767 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) 0) (* 0 (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.767 * [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))) 1544092548.768 * [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))))) 1544092548.768 * [misc]backup-simplify: Simplify (* 0 (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into 0 1544092548.769 * [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))))) 1544092548.770 * [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))))) 1544092548.770 * [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))))) 1544092548.774 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1544092548.774 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.775 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1544092548.775 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1544092548.777 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (log PI)))) into 0 1544092548.778 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.778 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.781 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1544092548.781 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ (- (log -2) (log n)) k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1544092548.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (- (log -2) (log n)) k)))) into 0 1544092548.783 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (/ (- (log -2) (log n)) k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.783 * [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 1544092548.783 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1544092548.784 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.784 * [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))))) 1544092548.785 * [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))))) 1544092548.785 * [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))))) 1544092548.786 * [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))))))) 1544092548.786 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 2 1) 1544092548.787 * [misc]backup-simplify: Simplify (sqrt (sqrt k)) into (pow k 1/4) 1544092548.787 * [misc]approximate: Taking taylor expansion of (pow k 1/4) in (k) around 0 1544092548.787 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092548.787 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092548.787 * [misc]taylor: Taking taylor expansion of (log k) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of k in k 1544092548.787 * [misc]backup-simplify: Simplify 0 into 0 1544092548.787 * [misc]backup-simplify: Simplify 1 into 1 1544092548.787 * [misc]backup-simplify: Simplify (log 1) into 0 1544092548.787 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.787 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092548.787 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092548.787 * [misc]taylor: Taking taylor expansion of (pow k 1/4) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log k))) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of (* 1/4 (log k)) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092548.787 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092548.787 * [misc]taylor: Taking taylor expansion of (log k) in k 1544092548.787 * [misc]taylor: Taking taylor expansion of k in k 1544092548.787 * [misc]backup-simplify: Simplify 0 into 0 1544092548.787 * [misc]backup-simplify: Simplify 1 into 1 1544092548.787 * [misc]backup-simplify: Simplify (log 1) into 0 1544092548.787 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.788 * [misc]backup-simplify: Simplify (* 1/4 (log k)) into (* 1/4 (log k)) 1544092548.788 * [misc]backup-simplify: Simplify (exp (* 1/4 (log k))) into (pow k 1/4) 1544092548.788 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1544092548.789 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544092548.789 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.790 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (log k))) into 0 1544092548.790 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.790 * [misc]backup-simplify: Simplify 0 into 0 1544092548.793 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544092548.793 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.793 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (log k)))) into 0 1544092548.794 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.794 * [misc]backup-simplify: Simplify 0 into 0 1544092548.798 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544092548.798 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.799 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))) into 0 1544092548.801 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.801 * [misc]backup-simplify: Simplify 0 into 0 1544092548.808 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1544092548.808 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.809 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))) into 0 1544092548.814 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log 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 1544092548.814 * [misc]backup-simplify: Simplify 0 into 0 1544092548.831 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1544092548.831 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.832 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k))))))) into 0 1544092548.840 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.840 * [misc]backup-simplify: Simplify 0 into 0 1544092548.855 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1544092548.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log k)) 0) into (log k) 1544092548.856 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log k)))))))) into 0 1544092548.864 * [misc]backup-simplify: Simplify (* (exp (* 1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.864 * [misc]backup-simplify: Simplify 0 into 0 1544092548.864 * [misc]backup-simplify: Simplify (pow k 1/4) into (pow k 1/4) 1544092548.865 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 k))) into (pow (/ 1 k) 1/4) 1544092548.865 * [misc]approximate: Taking taylor expansion of (pow (/ 1 k) 1/4) in (k) around 0 1544092548.865 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092548.865 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092548.865 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of k in k 1544092548.865 * [misc]backup-simplify: Simplify 0 into 0 1544092548.865 * [misc]backup-simplify: Simplify 1 into 1 1544092548.865 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.865 * [misc]backup-simplify: Simplify (log 1) into 0 1544092548.865 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.865 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544092548.865 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544092548.865 * [misc]taylor: Taking taylor expansion of (pow (/ 1 k) 1/4) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (exp (* 1/4 (log (/ 1 k)))) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (* 1/4 (log (/ 1 k))) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of 1/4 in k 1544092548.865 * [misc]backup-simplify: Simplify 1/4 into 1/4 1544092548.865 * [misc]taylor: Taking taylor expansion of (log (/ 1 k)) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1544092548.865 * [misc]taylor: Taking taylor expansion of k in k 1544092548.865 * [misc]backup-simplify: Simplify 0 into 0 1544092548.865 * [misc]backup-simplify: Simplify 1 into 1 1544092548.866 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1544092548.866 * [misc]backup-simplify: Simplify (log 1) into 0 1544092548.866 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.866 * [misc]backup-simplify: Simplify (* 1/4 (- (log k))) into (* -1/4 (log k)) 1544092548.866 * [misc]backup-simplify: Simplify (exp (* -1/4 (log k))) into (pow k -1/4) 1544092548.866 * [misc]backup-simplify: Simplify (pow k -1/4) into (pow k -1/4) 1544092548.866 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1544092548.868 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 1544092548.868 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.869 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (* 0 (- (log k)))) into 0 1544092548.870 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 1) 1)))) into 0 1544092548.870 * [misc]backup-simplify: Simplify 0 into 0 1544092548.870 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.874 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0 1544092548.875 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.875 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (- (log k))))) into 0 1544092548.877 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.877 * [misc]backup-simplify: Simplify 0 into 0 1544092548.878 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.884 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 1544092548.884 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.885 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))) into 0 1544092548.888 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.888 * [misc]backup-simplify: Simplify 0 into 0 1544092548.889 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.897 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into 0 1544092548.897 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.898 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))) into 0 1544092548.901 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log 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 1544092548.901 * [misc]backup-simplify: Simplify 0 into 0 1544092548.901 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.912 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 0 1544092548.912 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.913 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k)))))))) into 0 1544092548.918 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1544092548.918 * [misc]backup-simplify: Simplify 0 into 0 1544092548.918 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.943 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow 1 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow 1 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow 1 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow 1 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow 1 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow 1 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow 1 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow 1 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow 1 1)))) 720) into 0 1544092548.944 * [misc]backup-simplify: Simplify (+ (* (- 1) (log k)) 0) into (- (log k)) 1544092548.945 * [misc]backup-simplify: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log k))))))))) into 0 1544092548.955 * [misc]backup-simplify: Simplify (* (exp (* -1/4 (log k))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1544092548.955 * [misc]backup-simplify: Simplify 0 into 0 1544092548.955 * [misc]backup-simplify: Simplify (pow (/ 1 k) -1/4) into (pow (/ 1 k) -1/4) 1544092548.955 * [misc]backup-simplify: Simplify (sqrt (sqrt (/ 1 (- k)))) into (sqrt (sqrt (/ -1 k))) 1544092548.955 * [misc]approximate: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in (k) around 0 1544092548.955 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544092548.955 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.955 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.955 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.955 * [misc]backup-simplify: Simplify -1 into -1 1544092548.955 * [misc]taylor: Taking taylor expansion of k in k 1544092548.955 * [misc]backup-simplify: Simplify 0 into 0 1544092548.955 * [misc]backup-simplify: Simplify 1 into 1 1544092548.955 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.956 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.956 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.956 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.956 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.957 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.957 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.957 * [misc]taylor: Taking taylor expansion of (sqrt (sqrt (/ -1 k))) in k 1544092548.957 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1544092548.957 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1544092548.957 * [misc]taylor: Taking taylor expansion of -1 in k 1544092548.957 * [misc]backup-simplify: Simplify -1 into -1 1544092548.957 * [misc]taylor: Taking taylor expansion of k in k 1544092548.957 * [misc]backup-simplify: Simplify 0 into 0 1544092548.957 * [misc]backup-simplify: Simplify 1 into 1 1544092548.957 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1544092548.958 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1544092548.958 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1544092548.958 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.958 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1544092548.959 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1544092548.959 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt +nan.0))) into (/ +nan.0 (sqrt +nan.0)) 1544092548.959 * [misc]backup-simplify: Simplify (sqrt +nan.0) into (sqrt +nan.0) 1544092548.960 * [misc]backup-simplify: Simplify (/ +nan.0 (sqrt +nan.0)) into (/ +nan.0 (sqrt +nan.0)) 1544092548.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1544092548.961 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1544092548.962 * [misc]backup-simplify: Simplify (/ (- +nan.0 (pow (/ +nan.0 (sqrt +nan.0)) 2) (+)) (* 2 (sqrt +nan.0))) into (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1544092548.963 * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) into (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) 1544092548.965 * [misc]backup-simplify: Simplify (+ (* (* 1/2 (/ (+ (* +nan.0 (/ 1 (pow (sqrt +nan.0) 2))) (- +nan.0)) (sqrt +nan.0))) (pow (/ 1 (- k)) 2)) (+ (* (/ +nan.0 (sqrt +nan.0)) (/ 1 (- k))) (sqrt +nan.0))) into (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1544092548.965 * * * [misc]progress: simplifying candidates 1544092548.965 * * * * [misc]progress: [ 1 / 203 ] simplifiying candidate # 1544092548.965 * * * * [misc]progress: [ 2 / 203 ] simplifiying candidate # 1544092548.965 * * * * [misc]progress: [ 3 / 203 ] simplifiying candidate # 1544092548.965 * * * * [misc]progress: [ 4 / 203 ] simplifiying candidate # 1544092548.966 * [enter]simplify: Simplifying (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) 1544092548.966 * * [misc]simplify: iters left: 6 (10 enodes) 1544092548.967 * * [misc]simplify: iters left: 5 (13 enodes) 1544092548.969 * * [misc]simplify: iters left: 4 (14 enodes) 1544092548.971 * [exit]simplify: Simplified to (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) 1544092548.971 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (exp (- (log (sqrt (sqrt k))) (log (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092548.971 * * * * [misc]progress: [ 5 / 203 ] simplifiying candidate # 1544092548.971 * * * * [misc]progress: [ 6 / 203 ] simplifiying candidate # 1544092548.971 * * * * [misc]progress: [ 7 / 203 ] simplifiying candidate # 1544092548.971 * [enter]simplify: Simplifying (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) 1544092548.971 * * [misc]simplify: iters left: 6 (12 enodes) 1544092548.973 * * [misc]simplify: iters left: 5 (22 enodes) 1544092548.977 * * [misc]simplify: iters left: 4 (72 enodes) 1544092548.999 * * [misc]simplify: iters left: 3 (220 enodes) 1544092549.079 * * [misc]simplify: iters left: 2 (442 enodes) 1544092549.346 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (/ (* n 2) (sqrt k)) (sqrt (* n 2)))) 1544092549.346 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (cbrt (/ (sqrt (sqrt k)) (* (/ (* n 2) (sqrt k)) (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.347 * * * * [misc]progress: [ 8 / 203 ] simplifiying candidate # 1544092549.347 * * * * [misc]progress: [ 9 / 203 ] simplifiying candidate # 1544092549.347 * * * * [misc]progress: [ 10 / 203 ] simplifiying candidate # 1544092549.347 * [enter]simplify: Simplifying (/ (sqrt k) (* n 2)) 1544092549.347 * * [misc]simplify: iters left: 4 (6 enodes) 1544092549.349 * * [misc]simplify: iters left: 3 (9 enodes) 1544092549.351 * [exit]simplify: Simplified to (/ (sqrt k) (* n 2)) 1544092549.351 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt k) (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.351 * * * * [misc]progress: [ 11 / 203 ] simplifiying candidate # 1544092549.351 * * * * [misc]progress: [ 12 / 203 ] simplifiying candidate # 1544092549.351 * * * * [misc]progress: [ 13 / 203 ] simplifiying candidate # 1544092549.352 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.352 * * [misc]simplify: iters left: 6 (12 enodes) 1544092549.355 * * [misc]simplify: iters left: 5 (19 enodes) 1544092549.360 * * [misc]simplify: iters left: 4 (28 enodes) 1544092549.367 * * [misc]simplify: iters left: 3 (31 enodes) 1544092549.375 * * [misc]simplify: iters left: 2 (34 enodes) 1544092549.384 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) 1544092549.384 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.384 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.384 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.387 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.390 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.390 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.390 * * * * [misc]progress: [ 14 / 203 ] simplifiying candidate # 1544092549.390 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) 1544092549.390 * * [misc]simplify: iters left: 6 (8 enodes) 1544092549.393 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.395 * * [misc]simplify: iters left: 4 (12 enodes) 1544092549.399 * * [misc]simplify: iters left: 3 (13 enodes) 1544092549.402 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1544092549.402 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.403 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.403 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.405 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.405 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) (/ (cbrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.406 * * * * [misc]progress: [ 15 / 203 ] simplifiying candidate # 1544092549.406 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544092549.406 * * [misc]simplify: iters left: 6 (11 enodes) 1544092549.409 * * [misc]simplify: iters left: 5 (14 enodes) 1544092549.413 * * [misc]simplify: iters left: 4 (16 enodes) 1544092549.417 * * [misc]simplify: iters left: 3 (17 enodes) 1544092549.425 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) 1544092549.425 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.425 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.425 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.428 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.431 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.431 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.431 * * * * [misc]progress: [ 16 / 203 ] simplifiying candidate # 1544092549.431 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1544092549.431 * * [misc]simplify: iters left: 6 (7 enodes) 1544092549.434 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.438 * * [misc]simplify: iters left: 4 (17 enodes) 1544092549.442 * * [misc]simplify: iters left: 3 (31 enodes) 1544092549.451 * * [misc]simplify: iters left: 2 (57 enodes) 1544092549.466 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544092549.466 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.466 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.466 * * [misc]simplify: iters left: 5 (9 enodes) 1544092549.469 * * [misc]simplify: iters left: 4 (10 enodes) 1544092549.471 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.471 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.471 * * * * [misc]progress: [ 17 / 203 ] simplifiying candidate # 1544092549.472 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.472 * * [misc]simplify: iters left: 6 (12 enodes) 1544092549.476 * * [misc]simplify: iters left: 5 (16 enodes) 1544092549.480 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544092549.480 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.481 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.481 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.483 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.486 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.486 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.486 * * * * [misc]progress: [ 18 / 203 ] simplifiying candidate # 1544092549.487 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt n)) 1544092549.487 * * [misc]simplify: iters left: 6 (8 enodes) 1544092549.489 * * [misc]simplify: iters left: 5 (9 enodes) 1544092549.492 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt n)) 1544092549.492 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (/ (sqrt (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.492 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) 1544092549.492 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.494 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) 1544092549.494 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (/ (sqrt (cbrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.494 * * * * [misc]progress: [ 19 / 203 ] simplifiying candidate # 1544092549.495 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544092549.495 * * [misc]simplify: iters left: 6 (11 enodes) 1544092549.498 * * [misc]simplify: iters left: 5 (13 enodes) 1544092549.501 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.502 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.502 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.502 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.505 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.508 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.508 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.508 * * * * [misc]progress: [ 20 / 203 ] simplifiying candidate # 1544092549.508 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1544092549.508 * * [misc]simplify: iters left: 6 (7 enodes) 1544092549.510 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.513 * * [misc]simplify: iters left: 4 (12 enodes) 1544092549.515 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544092549.516 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.516 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) 1544092549.516 * * [misc]simplify: iters left: 5 (9 enodes) 1544092549.518 * * [misc]simplify: iters left: 4 (10 enodes) 1544092549.522 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) 1544092549.522 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (fabs (cbrt (sqrt k))) (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.522 * * * * [misc]progress: [ 21 / 203 ] simplifiying candidate # 1544092549.522 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.522 * * [misc]simplify: iters left: 6 (11 enodes) 1544092549.526 * * [misc]simplify: iters left: 5 (14 enodes) 1544092549.530 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.530 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.530 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.530 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.533 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.536 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.536 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.536 * * * * [misc]progress: [ 22 / 203 ] simplifiying candidate # 1544092549.536 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092549.536 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.538 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092549.539 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.539 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.539 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.541 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.541 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.542 * * * * [misc]progress: [ 23 / 203 ] simplifiying candidate # 1544092549.542 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.542 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.545 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.548 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.548 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.548 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.548 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.551 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.554 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.554 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.554 * * * * [misc]progress: [ 24 / 203 ] simplifiying candidate # 1544092549.555 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544092549.555 * * [misc]simplify: iters left: 5 (6 enodes) 1544092549.556 * * [misc]simplify: iters left: 4 (8 enodes) 1544092549.557 * * [misc]simplify: iters left: 3 (10 enodes) 1544092549.558 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092549.558 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.558 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.558 * * [misc]simplify: iters left: 5 (9 enodes) 1544092549.560 * * [misc]simplify: iters left: 4 (10 enodes) 1544092549.561 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.561 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.561 * * * * [misc]progress: [ 25 / 203 ] simplifiying candidate # 1544092549.561 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.561 * * [misc]simplify: iters left: 6 (9 enodes) 1544092549.563 * * [misc]simplify: iters left: 5 (14 enodes) 1544092549.566 * * [misc]simplify: iters left: 4 (15 enodes) 1544092549.567 * * [misc]simplify: iters left: 3 (17 enodes) 1544092549.569 * * [misc]simplify: iters left: 2 (18 enodes) 1544092549.571 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544092549.571 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.571 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544092549.571 * * [misc]simplify: iters left: 6 (9 enodes) 1544092549.573 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.574 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544092549.574 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.574 * * * * [misc]progress: [ 26 / 203 ] simplifiying candidate # 1544092549.574 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt n)) 1544092549.574 * * [misc]simplify: iters left: 3 (5 enodes) 1544092549.576 * * [misc]simplify: iters left: 2 (7 enodes) 1544092549.576 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544092549.576 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.577 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt 2)) 1544092549.577 * * [misc]simplify: iters left: 4 (6 enodes) 1544092549.578 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1544092549.578 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.578 * * * * [misc]progress: [ 27 / 203 ] simplifiying candidate # 1544092549.578 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (* n 2)))) 1544092549.578 * * [misc]simplify: iters left: 6 (8 enodes) 1544092549.580 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.581 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1544092549.581 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.581 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544092549.581 * * [misc]simplify: iters left: 6 (9 enodes) 1544092549.582 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.584 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544092549.584 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.584 * * * * [misc]progress: [ 28 / 203 ] simplifiying candidate # 1544092549.584 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1544092549.584 * * [misc]simplify: iters left: 3 (3 enodes) 1544092549.586 * * [misc]simplify: iters left: 2 (5 enodes) 1544092549.586 * [exit]simplify: Simplified to 1 1544092549.586 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.586 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092549.587 * * [misc]simplify: iters left: 5 (8 enodes) 1544092549.589 * * [misc]simplify: iters left: 4 (9 enodes) 1544092549.591 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092549.591 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.591 * * * * [misc]progress: [ 29 / 203 ] simplifiying candidate # 1544092549.591 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.591 * * [misc]simplify: iters left: 6 (11 enodes) 1544092549.594 * * [misc]simplify: iters left: 5 (14 enodes) 1544092549.598 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.598 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.599 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.599 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.601 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.604 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) 1544092549.604 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.604 * * * * [misc]progress: [ 30 / 203 ] simplifiying candidate # 1544092549.604 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092549.605 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.606 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092549.606 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.607 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.607 * * [misc]simplify: iters left: 5 (7 enodes) 1544092549.609 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) 1544092549.609 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (/ (sqrt (sqrt (sqrt k))) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.609 * * * * [misc]progress: [ 31 / 203 ] simplifiying candidate # 1544092549.610 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.610 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.613 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.615 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.615 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.616 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.616 * * [misc]simplify: iters left: 6 (10 enodes) 1544092549.617 * * [misc]simplify: iters left: 5 (11 enodes) 1544092549.619 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092549.619 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.619 * * * * [misc]progress: [ 32 / 203 ] simplifiying candidate # 1544092549.619 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544092549.619 * * [misc]simplify: iters left: 5 (6 enodes) 1544092549.620 * * [misc]simplify: iters left: 4 (8 enodes) 1544092549.621 * * [misc]simplify: iters left: 3 (10 enodes) 1544092549.622 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092549.622 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.622 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.622 * * [misc]simplify: iters left: 5 (9 enodes) 1544092549.624 * * [misc]simplify: iters left: 4 (10 enodes) 1544092549.625 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) 1544092549.625 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (sqrt (sqrt (sqrt k))) (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.625 * * * * [misc]progress: [ 33 / 203 ] simplifiying candidate # 1544092549.625 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092549.626 * * [misc]simplify: iters left: 6 (8 enodes) 1544092549.627 * * [misc]simplify: iters left: 5 (13 enodes) 1544092549.629 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1544092549.629 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.629 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544092549.629 * * [misc]simplify: iters left: 6 (9 enodes) 1544092549.630 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.632 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) 1544092549.632 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.632 * * * * [misc]progress: [ 34 / 203 ] simplifiying candidate # 1544092549.632 * [enter]simplify: Simplifying (/ 1 (sqrt n)) 1544092549.632 * * [misc]simplify: iters left: 3 (4 enodes) 1544092549.632 * * [misc]simplify: iters left: 2 (6 enodes) 1544092549.633 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544092549.633 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.633 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt 2)) 1544092549.633 * * [misc]simplify: iters left: 4 (6 enodes) 1544092549.635 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt 2)) 1544092549.635 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt n)) (/ (sqrt (sqrt k)) (sqrt 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.635 * * * * [misc]progress: [ 35 / 203 ] simplifiying candidate # 1544092549.635 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* n 2)))) 1544092549.635 * * [misc]simplify: iters left: 6 (7 enodes) 1544092549.636 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.637 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1544092549.637 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* 2 n)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.637 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544092549.638 * * [misc]simplify: iters left: 6 (9 enodes) 1544092549.639 * * [misc]simplify: iters left: 5 (10 enodes) 1544092549.640 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) 1544092549.640 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ 1 (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.640 * * * * [misc]progress: [ 36 / 203 ] simplifiying candidate # 1544092549.640 * [enter]simplify: Simplifying (/ 1 1) 1544092549.640 * * [misc]simplify: iters left: 2 (2 enodes) 1544092549.641 * * [misc]simplify: iters left: 1 (4 enodes) 1544092549.641 * [exit]simplify: Simplified to 1 1544092549.641 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.641 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092549.641 * * [misc]simplify: iters left: 5 (8 enodes) 1544092549.643 * * [misc]simplify: iters left: 4 (9 enodes) 1544092549.644 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1544092549.644 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.644 * * * * [misc]progress: [ 37 / 203 ] simplifiying candidate # 1544092549.644 * * * * [misc]progress: [ 38 / 203 ] simplifiying candidate # 1544092549.645 * * * * [misc]progress: [ 39 / 203 ] simplifiying candidate # 1544092549.645 * * * * [misc]progress: [ 40 / 203 ] simplifiying candidate # 1544092549.645 * [enter]simplify: Simplifying (cbrt (sqrt (* n 2))) 1544092549.645 * * [misc]simplify: iters left: 4 (5 enodes) 1544092549.646 * * [misc]simplify: iters left: 3 (6 enodes) 1544092549.648 * [exit]simplify: Simplified to (cbrt (sqrt (* n 2))) 1544092549.648 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.648 * * * * [misc]progress: [ 41 / 203 ] simplifiying candidate # 1544092549.648 * [enter]simplify: Simplifying (sqrt 2) 1544092549.648 * * [misc]simplify: iters left: 1 (2 enodes) 1544092549.650 * [exit]simplify: Simplified to (sqrt 2) 1544092549.650 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (sqrt n)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.650 * * * * [misc]progress: [ 42 / 203 ] simplifiying candidate # 1544092549.650 * [enter]simplify: Simplifying (sqrt (sqrt (* n 2))) 1544092549.650 * * [misc]simplify: iters left: 4 (5 enodes) 1544092549.651 * * [misc]simplify: iters left: 3 (6 enodes) 1544092549.653 * [exit]simplify: Simplified to (sqrt (sqrt (* n 2))) 1544092549.653 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.653 * * * * [misc]progress: [ 43 / 203 ] simplifiying candidate # 1544092549.653 * [enter]simplify: Simplifying (sqrt (* n 2)) 1544092549.653 * * [misc]simplify: iters left: 3 (4 enodes) 1544092549.655 * * [misc]simplify: iters left: 2 (5 enodes) 1544092549.656 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544092549.656 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (sqrt (sqrt k)) 1) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.656 * * * * [misc]progress: [ 44 / 203 ] simplifiying candidate # 1544092549.656 * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544092549.656 * * [misc]simplify: iters left: 5 (5 enodes) 1544092549.658 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544092549.658 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (/ (sqrt (* n 2)) (cbrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.658 * * * * [misc]progress: [ 45 / 203 ] simplifiying candidate # 1544092549.658 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092549.658 * * [misc]simplify: iters left: 5 (5 enodes) 1544092549.660 * * [misc]simplify: iters left: 4 (6 enodes) 1544092549.661 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544092549.661 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (cbrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.661 * * * * [misc]progress: [ 46 / 203 ] simplifiying candidate # 1544092549.662 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544092549.662 * * [misc]simplify: iters left: 3 (4 enodes) 1544092549.663 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092549.663 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.663 * * * * [misc]progress: [ 47 / 203 ] simplifiying candidate # 1544092549.663 * [enter]simplify: Simplifying (sqrt 1) 1544092549.663 * * [misc]simplify: iters left: 1 (2 enodes) 1544092549.664 * [exit]simplify: Simplified to 1 1544092549.664 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (/ (sqrt (* n 2)) (sqrt (sqrt k)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.664 * * * * [misc]progress: [ 48 / 203 ] simplifiying candidate # 1544092549.665 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544092549.665 * * [misc]simplify: iters left: 3 (4 enodes) 1544092549.666 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092549.666 * [misc]simplify: Simplified (2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (/ (sqrt (* n 2)) (sqrt (sqrt (sqrt k))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092549.666 * * * * [misc]progress: [ 49 / 203 ] simplifiying candidate # 1544092549.666 * * * * [misc]progress: [ 50 / 203 ] simplifiying candidate # 1544092549.666 * * * * [misc]progress: [ 51 / 203 ] simplifiying candidate # 1544092549.666 * * * * [misc]progress: [ 52 / 203 ] simplifiying candidate # 1544092549.666 * [enter]simplify: Simplifying (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092549.667 * * [misc]simplify: iters left: 6 (13 enodes) 1544092549.670 * * [misc]simplify: iters left: 5 (21 enodes) 1544092549.673 * * [misc]simplify: iters left: 4 (32 enodes) 1544092549.677 * * [misc]simplify: iters left: 3 (44 enodes) 1544092549.683 * * [misc]simplify: iters left: 2 (53 enodes) 1544092549.689 * * [misc]simplify: iters left: 1 (56 enodes) 1544092549.697 * [exit]simplify: Simplified to (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (/ (- k) 2))) 1544092549.697 * [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))) 1544092549.697 * * * * [misc]progress: [ 53 / 203 ] simplifiying candidate # 1544092549.697 * * * * [misc]progress: [ 54 / 203 ] simplifiying candidate # 1544092549.697 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544092549.698 * * [misc]simplify: iters left: 6 (16 enodes) 1544092549.703 * * [misc]simplify: iters left: 5 (34 enodes) 1544092549.714 * * [misc]simplify: iters left: 4 (78 enodes) 1544092549.748 * * [misc]simplify: iters left: 3 (223 enodes) 1544092549.847 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544092549.847 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544092549.847 * * * * [misc]progress: [ 55 / 203 ] simplifiying candidate # 1544092549.847 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544092549.848 * * [misc]simplify: iters left: 6 (16 enodes) 1544092549.853 * * [misc]simplify: iters left: 5 (34 enodes) 1544092549.865 * * [misc]simplify: iters left: 4 (78 enodes) 1544092549.902 * * [misc]simplify: iters left: 3 (223 enodes) 1544092550.029 * [exit]simplify: Simplified to (- (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) 1544092550.029 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (- (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k)))))))) 1544092550.029 * * * * [misc]progress: [ 56 / 203 ] simplifiying candidate # 1544092550.030 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2)))))) 1544092550.030 * * [misc]simplify: iters left: 6 (16 enodes) 1544092550.035 * * [misc]simplify: iters left: 5 (30 enodes) 1544092550.043 * * [misc]simplify: iters left: 4 (65 enodes) 1544092550.055 * * [misc]simplify: iters left: 3 (160 enodes) 1544092550.122 * [exit]simplify: Simplified to (+ (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (sqrt (* n 2))))) 1544092550.122 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))) (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))))))) 1544092550.122 * * * * [misc]progress: [ 57 / 203 ] simplifiying candidate # 1544092550.122 * [enter]simplify: Simplifying (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544092550.123 * * [misc]simplify: iters left: 6 (16 enodes) 1544092550.125 * * [misc]simplify: iters left: 5 (26 enodes) 1544092550.129 * * [misc]simplify: iters left: 4 (46 enodes) 1544092550.138 * * [misc]simplify: iters left: 3 (96 enodes) 1544092550.168 * * [misc]simplify: iters left: 2 (214 enodes) 1544092550.263 * [exit]simplify: Simplified to (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (fma (log (* n 2)) (/ k 2) (log (sqrt (sqrt k))))) 1544092550.263 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (fma (log (* n 2)) (/ k 2) (log (sqrt (sqrt k)))))))) 1544092550.263 * * * * [misc]progress: [ 58 / 203 ] simplifiying candidate # 1544092550.263 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544092550.264 * * [misc]simplify: iters left: 6 (16 enodes) 1544092550.269 * * [misc]simplify: iters left: 5 (32 enodes) 1544092550.280 * * [misc]simplify: iters left: 4 (69 enodes) 1544092550.309 * * [misc]simplify: iters left: 3 (202 enodes) 1544092550.373 * * [misc]simplify: iters left: 2 (452 enodes) 1544092550.569 * [exit]simplify: Simplified to (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ (log (* n 2)) 2) k (log (sqrt (sqrt k))))) 1544092550.569 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ (log (* n 2)) 2) k (log (sqrt (sqrt k)))))))) 1544092550.569 * * * * [misc]progress: [ 59 / 203 ] simplifiying candidate # 1544092550.569 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2))))) 1544092550.569 * * [misc]simplify: iters left: 6 (16 enodes) 1544092550.572 * * [misc]simplify: iters left: 5 (32 enodes) 1544092550.578 * * [misc]simplify: iters left: 4 (69 enodes) 1544092550.602 * * [misc]simplify: iters left: 3 (202 enodes) 1544092550.667 * * [misc]simplify: iters left: 2 (452 enodes) 1544092550.916 * [exit]simplify: Simplified to (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ (log (* n 2)) 2) k (log (sqrt (sqrt k))))) 1544092550.916 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ (log (* n 2)) 2) k (log (sqrt (sqrt k)))))))) 1544092550.916 * * * * [misc]progress: [ 60 / 203 ] simplifiying candidate # 1544092550.917 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2)))))) 1544092550.917 * * [misc]simplify: iters left: 6 (16 enodes) 1544092550.922 * * [misc]simplify: iters left: 5 (28 enodes) 1544092550.931 * * [misc]simplify: iters left: 4 (56 enodes) 1544092550.941 * * [misc]simplify: iters left: 3 (143 enodes) 1544092550.985 * * [misc]simplify: iters left: 2 (430 enodes) 1544092551.241 * [exit]simplify: Simplified to (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (log (* n 2)) (/ k 2) (log (sqrt (sqrt k))))) 1544092551.241 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (log (* n 2)) (/ k 2) (log (sqrt (sqrt k)))))))) 1544092551.241 * * * * [misc]progress: [ 61 / 203 ] simplifiying candidate # 1544092551.241 * [enter]simplify: Simplifying (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544092551.242 * * [misc]simplify: iters left: 6 (15 enodes) 1544092551.246 * * [misc]simplify: iters left: 5 (24 enodes) 1544092551.254 * * [misc]simplify: iters left: 4 (38 enodes) 1544092551.268 * * [misc]simplify: iters left: 3 (80 enodes) 1544092551.287 * * [misc]simplify: iters left: 2 (181 enodes) 1544092551.367 * [exit]simplify: Simplified to (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) 1544092551.367 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (exp (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k)))))))) 1544092551.367 * * * * [misc]progress: [ 62 / 203 ] simplifiying candidate # 1544092551.367 * * * * [misc]progress: [ 63 / 203 ] simplifiying candidate # 1544092551.367 * * * * [misc]progress: [ 64 / 203 ] simplifiying candidate # 1544092551.368 * [enter]simplify: Simplifying (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1544092551.368 * * [misc]simplify: iters left: 6 (19 enodes) 1544092551.375 * * [misc]simplify: iters left: 5 (44 enodes) 1544092551.389 * * [misc]simplify: iters left: 4 (189 enodes) 1544092551.549 * [exit]simplify: Simplified to (/ (/ (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))) 1544092551.549 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (/ (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (sqrt k)) (/ (pow (* n 2) (- (/ k 2))) (sqrt k))) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))))) 1544092551.549 * * * * [misc]progress: [ 65 / 203 ] simplifiying candidate # 1544092551.549 * [enter]simplify: Simplifying (* (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544092551.549 * * [misc]simplify: iters left: 6 (19 enodes) 1544092551.553 * * [misc]simplify: iters left: 5 (43 enodes) 1544092551.564 * * [misc]simplify: iters left: 4 (164 enodes) 1544092551.715 * [exit]simplify: Simplified to (* (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1544092551.715 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (* (/ (/ (sqrt k) (* n 2)) (sqrt (* n 2))) (/ (sqrt k) (pow (* n 2) (- (/ k 2))))) (/ (sqrt k) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))))))) 1544092551.715 * * * * [misc]progress: [ 66 / 203 ] simplifiying candidate # 1544092551.716 * [enter]simplify: Simplifying (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2)))))) 1544092551.716 * * [misc]simplify: iters left: 6 (19 enodes) 1544092551.723 * * [misc]simplify: iters left: 5 (43 enodes) 1544092551.740 * * [misc]simplify: iters left: 4 (146 enodes) 1544092551.834 * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt k) (sqrt (* n 2))) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (sqrt (* n 2))) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))))) 1544092551.834 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (* (/ (/ (/ (sqrt k) (sqrt (* n 2))) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (sqrt (* n 2))) (sqrt k)) (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2))))))))) 1544092551.834 * * * * [misc]progress: [ 67 / 203 ] simplifiying candidate # 1544092551.834 * [enter]simplify: Simplifying (* (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) 1544092551.835 * * [misc]simplify: iters left: 6 (17 enodes) 1544092551.838 * * [misc]simplify: iters left: 5 (39 enodes) 1544092551.846 * * [misc]simplify: iters left: 4 (113 enodes) 1544092551.886 * * [misc]simplify: iters left: 3 (370 enodes) 1544092552.204 * [exit]simplify: Simplified to (/ (* (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (* n 2)) (sqrt k)) (pow (* n 2) (- (/ k 2))))) (pow (* n 2) (- (/ k 2)))) 1544092552.204 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (cbrt (/ (* (/ (/ (sqrt k) (sqrt (* n 2))) (pow (* n 2) (- (/ k 2)))) (/ (* (/ (sqrt k) (* n 2)) (sqrt k)) (pow (* n 2) (- (/ k 2))))) (pow (* n 2) (- (/ k 2))))))) 1544092552.205 * * * * [misc]progress: [ 68 / 203 ] simplifiying candidate # 1544092552.205 * * * * [misc]progress: [ 69 / 203 ] simplifiying candidate # 1544092552.205 * * * * [misc]progress: [ 70 / 203 ] simplifiying candidate # 1544092552.205 * * * * [misc]progress: [ 71 / 203 ] simplifiying candidate # 1544092552.206 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (sqrt (sqrt k))) 1544092552.206 * * [misc]simplify: iters left: 4 (4 enodes) 1544092552.206 * [exit]simplify: Simplified to (sqrt k) 1544092552.206 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2))))))) 1544092552.206 * [enter]simplify: Simplifying (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2)))) 1544092552.207 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.208 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.210 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))) 1544092552.210 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt k) (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2)))))) 1544092552.210 * * * * [misc]progress: [ 72 / 203 ] simplifiying candidate # 1544092552.210 * * * * [misc]progress: [ 73 / 203 ] simplifiying candidate # 1544092552.210 * [enter]simplify: Simplifying (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092552.210 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.212 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.214 * [exit]simplify: Simplified to (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092552.214 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (* (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) (cbrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.214 * * * * [misc]progress: [ 74 / 203 ] simplifiying candidate # 1544092552.214 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092552.214 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.216 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.218 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092552.218 * [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 (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (sqrt (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.218 * * * * [misc]progress: [ 75 / 203 ] simplifiying candidate # 1544092552.218 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544092552.218 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.219 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.221 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544092552.221 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (pow n (- (/ k 2))))) (/ (cbrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544092552.221 * * * * [misc]progress: [ 76 / 203 ] simplifiying candidate # 1544092552.221 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.221 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.223 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.225 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.225 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (cbrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.225 * * * * [misc]progress: [ 77 / 203 ] simplifiying candidate # 1544092552.225 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.225 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.227 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.229 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.229 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (cbrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.229 * * * * [misc]progress: [ 78 / 203 ] simplifiying candidate # 1544092552.229 * [enter]simplify: Simplifying (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544092552.229 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.231 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.233 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544092552.233 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1)) (/ (cbrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544092552.233 * * * * [misc]progress: [ 79 / 203 ] simplifiying candidate # 1544092552.233 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544092552.233 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.234 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.238 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544092552.238 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (pow n (- (/ k 2))))) (/ (sqrt (cbrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544092552.238 * * * * [misc]progress: [ 80 / 203 ] simplifiying candidate # 1544092552.239 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.239 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.240 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.243 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.243 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (cbrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.243 * * * * [misc]progress: [ 81 / 203 ] simplifiying candidate # 1544092552.243 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.243 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.245 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.247 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.247 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (cbrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.247 * * * * [misc]progress: [ 82 / 203 ] simplifiying candidate # 1544092552.247 * [enter]simplify: Simplifying (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544092552.247 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.250 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.253 * [exit]simplify: Simplified to (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544092552.254 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1)) (/ (sqrt (cbrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544092552.254 * * * * [misc]progress: [ 83 / 203 ] simplifiying candidate # 1544092552.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544092552.254 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.256 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.259 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544092552.259 * [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 (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544092552.259 * * * * [misc]progress: [ 84 / 203 ] simplifiying candidate # 1544092552.260 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.260 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.263 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.267 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.267 * [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 (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.267 * * * * [misc]progress: [ 85 / 203 ] simplifiying candidate # 1544092552.267 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.267 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.271 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.275 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.275 * [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 (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.275 * * * * [misc]progress: [ 86 / 203 ] simplifiying candidate # 1544092552.275 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544092552.275 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.278 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.282 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544092552.282 * [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 (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544092552.282 * * * * [misc]progress: [ 87 / 203 ] simplifiying candidate # 1544092552.282 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1544092552.282 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.284 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.287 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1544092552.287 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1544092552.287 * * * * [misc]progress: [ 88 / 203 ] simplifiying candidate # 1544092552.287 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.287 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.289 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.291 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.291 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.291 * * * * [misc]progress: [ 89 / 203 ] simplifiying candidate # 1544092552.291 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.291 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.293 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.295 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.295 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.295 * * * * [misc]progress: [ 90 / 203 ] simplifiying candidate # 1544092552.295 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092552.295 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.296 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.298 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092552.298 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt 1) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544092552.298 * * * * [misc]progress: [ 91 / 203 ] simplifiying candidate # 1544092552.298 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow 2 (- (/ k 2)))) 1544092552.298 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.300 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.301 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2))) 1544092552.301 * [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 (sqrt k))) (pow n (- (/ k 2))))) (/ (sqrt (sqrt (sqrt k))) (pow 2 (/ (- k) 2)))))) 1544092552.301 * * * * [misc]progress: [ 92 / 203 ] simplifiying candidate # 1544092552.301 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.301 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.303 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.305 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.305 * [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 (sqrt k))) (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt (sqrt k))) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.305 * * * * [misc]progress: [ 93 / 203 ] simplifiying candidate # 1544092552.305 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.305 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.307 * * [misc]simplify: iters left: 5 (15 enodes) 1544092552.309 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.309 * [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 (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt (sqrt k))) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.309 * * * * [misc]progress: [ 94 / 203 ] simplifiying candidate # 1544092552.309 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2)))) 1544092552.309 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.311 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.313 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2))) 1544092552.313 * [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 (sqrt k))) 1)) (/ (sqrt (sqrt (sqrt k))) (pow (* n 2) (/ (- k) 2)))))) 1544092552.313 * * * * [misc]progress: [ 95 / 203 ] simplifiying candidate # 1544092552.313 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- (/ k 2)))) 1544092552.313 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.314 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.316 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2))) 1544092552.316 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (pow n (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (/ (- k) 2)))))) 1544092552.316 * * * * [misc]progress: [ 96 / 203 ] simplifiying candidate # 1544092552.317 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.317 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.320 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.324 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2))))) 1544092552.324 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (* (cbrt (pow (* n 2) (- (/ k 2)))) (cbrt (pow (* n 2) (- (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.324 * * * * [misc]progress: [ 97 / 203 ] simplifiying candidate # 1544092552.324 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.324 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.327 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.331 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2))))) 1544092552.331 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 (sqrt (pow (* n 2) (- (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- (/ k 2)))))))) 1544092552.331 * * * * [misc]progress: [ 98 / 203 ] simplifiying candidate # 1544092552.332 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092552.332 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.335 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.338 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092552.338 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ 1 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544092552.338 * * * * [misc]progress: [ 99 / 203 ] simplifiying candidate # 1544092552.339 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092552.339 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.342 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.345 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092552.345 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1544092552.345 * * * * [misc]progress: [ 100 / 203 ] simplifiying candidate # 1544092552.345 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- (/ k 2)))) 1544092552.345 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.346 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.348 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- (/ k 2)))) 1544092552.348 * [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))) (/ 1 (pow (* 2 n) (- (/ k 2))))))) 1544092552.348 * * * * [misc]progress: [ 101 / 203 ] simplifiying candidate # 1544092552.348 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092552.348 * * [misc]simplify: iters left: 3 (6 enodes) 1544092552.349 * * [misc]simplify: iters left: 2 (7 enodes) 1544092552.350 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092552.350 * [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)) 1)) (pow (* n 2) (/ k 2))))) 1544092552.350 * * * * [misc]progress: [ 102 / 203 ] simplifiying candidate # 1544092552.350 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1544092552.350 * * [misc]simplify: iters left: 3 (6 enodes) 1544092552.351 * * [misc]simplify: iters left: 2 (7 enodes) 1544092552.352 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1544092552.352 * [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) 0))) (pow (* n 2) (/ k 2))))) 1544092552.352 * * * * [misc]progress: [ 103 / 203 ] simplifiying candidate # 1544092552.352 * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) 1544092552.352 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.354 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.355 * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) 1544092552.355 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2))))) (* (cbrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.355 * * * * [misc]progress: [ 104 / 203 ] simplifiying candidate # 1544092552.355 * [enter]simplify: Simplifying (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092552.356 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.357 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.358 * [exit]simplify: Simplified to (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092552.358 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (sqrt (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.358 * * * * [misc]progress: [ 105 / 203 ] simplifiying candidate # 1544092552.358 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.358 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.360 * * [misc]simplify: iters left: 5 (19 enodes) 1544092552.363 * * [misc]simplify: iters left: 4 (28 enodes) 1544092552.367 * * [misc]simplify: iters left: 3 (31 enodes) 1544092552.370 * * [misc]simplify: iters left: 2 (34 enodes) 1544092552.375 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) 1544092552.375 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2))))) (* (/ (cbrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.375 * * * * [misc]progress: [ 106 / 203 ] simplifiying candidate # 1544092552.375 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt n)) 1544092552.375 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.376 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.378 * * [misc]simplify: iters left: 4 (12 enodes) 1544092552.379 * * [misc]simplify: iters left: 3 (13 enodes) 1544092552.381 * [exit]simplify: Simplified to (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) 1544092552.381 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (cbrt (sqrt (sqrt k))) (/ (sqrt n) (cbrt (sqrt (sqrt k))))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.381 * * * * [misc]progress: [ 107 / 203 ] simplifiying candidate # 1544092552.381 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544092552.382 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.383 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.385 * * [misc]simplify: iters left: 4 (16 enodes) 1544092552.387 * * [misc]simplify: iters left: 3 (17 enodes) 1544092552.389 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) 1544092552.389 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.389 * * * * [misc]progress: [ 108 / 203 ] simplifiying candidate # 1544092552.390 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1) 1544092552.390 * * [misc]simplify: iters left: 6 (7 enodes) 1544092552.391 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.393 * * [misc]simplify: iters left: 4 (17 enodes) 1544092552.397 * * [misc]simplify: iters left: 3 (31 enodes) 1544092552.405 * * [misc]simplify: iters left: 2 (57 enodes) 1544092552.418 * [exit]simplify: Simplified to (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) 1544092552.418 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt (sqrt k))) (cbrt (sqrt (sqrt k)))) (* (/ (cbrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.418 * * * * [misc]progress: [ 109 / 203 ] simplifiying candidate # 1544092552.419 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.419 * * [misc]simplify: iters left: 6 (12 enodes) 1544092552.422 * * [misc]simplify: iters left: 5 (16 enodes) 1544092552.426 * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544092552.426 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ (fabs (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (* (/ (sqrt (cbrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.426 * * * * [misc]progress: [ 110 / 203 ] simplifiying candidate # 1544092552.426 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt n)) 1544092552.427 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.428 * * [misc]simplify: iters left: 5 (9 enodes) 1544092552.431 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt n)) 1544092552.431 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (sqrt n)) (* (/ (sqrt (cbrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.431 * * * * [misc]progress: [ 111 / 203 ] simplifiying candidate # 1544092552.431 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (sqrt (sqrt (* n 2)))) 1544092552.431 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.435 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.438 * [exit]simplify: Simplified to (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092552.438 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (fabs (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (cbrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.438 * * * * [misc]progress: [ 112 / 203 ] simplifiying candidate # 1544092552.438 * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1) 1544092552.438 * * [misc]simplify: iters left: 6 (7 enodes) 1544092552.440 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.443 * * [misc]simplify: iters left: 4 (12 enodes) 1544092552.445 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544092552.445 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (fabs (cbrt (sqrt k))) (* (/ (sqrt (cbrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.445 * * * * [misc]progress: [ 113 / 203 ] simplifiying candidate # 1544092552.446 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.446 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.448 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.452 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.452 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (* (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.452 * * * * [misc]progress: [ 114 / 203 ] simplifiying candidate # 1544092552.452 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092552.452 * * [misc]simplify: iters left: 5 (7 enodes) 1544092552.454 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092552.454 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.454 * * * * [misc]progress: [ 115 / 203 ] simplifiying candidate # 1544092552.454 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092552.455 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.457 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.460 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092552.460 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.460 * * * * [misc]progress: [ 116 / 203 ] simplifiying candidate # 1544092552.460 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544092552.460 * * [misc]simplify: iters left: 5 (6 enodes) 1544092552.462 * * [misc]simplify: iters left: 4 (8 enodes) 1544092552.464 * * [misc]simplify: iters left: 3 (10 enodes) 1544092552.466 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092552.466 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.466 * * * * [misc]progress: [ 117 / 203 ] simplifiying candidate # 1544092552.466 * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.466 * * [misc]simplify: iters left: 6 (9 enodes) 1544092552.469 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.473 * * [misc]simplify: iters left: 4 (15 enodes) 1544092552.476 * * [misc]simplify: iters left: 3 (17 enodes) 1544092552.480 * * [misc]simplify: iters left: 2 (18 enodes) 1544092552.483 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) 1544092552.483 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (/ 1 (cbrt (sqrt (* n 2)))) (cbrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.483 * * * * [misc]progress: [ 118 / 203 ] simplifiying candidate # 1544092552.484 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt n)) 1544092552.484 * * [misc]simplify: iters left: 3 (5 enodes) 1544092552.486 * * [misc]simplify: iters left: 2 (7 enodes) 1544092552.487 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544092552.487 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt n)) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.487 * * * * [misc]progress: [ 119 / 203 ] simplifiying candidate # 1544092552.488 * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (* n 2)))) 1544092552.488 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.490 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.492 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* n 2)))) 1544092552.492 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.492 * * * * [misc]progress: [ 120 / 203 ] simplifiying candidate # 1544092552.493 * [enter]simplify: Simplifying (/ (sqrt 1) 1) 1544092552.493 * * [misc]simplify: iters left: 3 (3 enodes) 1544092552.494 * * [misc]simplify: iters left: 2 (5 enodes) 1544092552.495 * [exit]simplify: Simplified to 1 1544092552.495 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.495 * * * * [misc]progress: [ 121 / 203 ] simplifiying candidate # 1544092552.495 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.495 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.498 * * [misc]simplify: iters left: 5 (14 enodes) 1544092552.501 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.501 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) (* (/ (sqrt (sqrt (sqrt k))) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.501 * * * * [misc]progress: [ 122 / 203 ] simplifiying candidate # 1544092552.501 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092552.501 * * [misc]simplify: iters left: 5 (7 enodes) 1544092552.502 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt n)) 1544092552.502 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt n)) (* (/ (sqrt (sqrt (sqrt k))) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.502 * * * * [misc]progress: [ 123 / 203 ] simplifiying candidate # 1544092552.502 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092552.502 * * [misc]simplify: iters left: 6 (10 enodes) 1544092552.504 * * [misc]simplify: iters left: 5 (11 enodes) 1544092552.505 * [exit]simplify: Simplified to (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) 1544092552.505 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.505 * * * * [misc]progress: [ 124 / 203 ] simplifiying candidate # 1544092552.505 * [enter]simplify: Simplifying (/ (sqrt (sqrt (sqrt k))) 1) 1544092552.505 * * [misc]simplify: iters left: 5 (6 enodes) 1544092552.506 * * [misc]simplify: iters left: 4 (8 enodes) 1544092552.507 * * [misc]simplify: iters left: 3 (10 enodes) 1544092552.508 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092552.508 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt (sqrt k))) (* (/ (sqrt (sqrt (sqrt k))) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.509 * * * * [misc]progress: [ 125 / 203 ] simplifiying candidate # 1544092552.509 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (* n 2))) (cbrt (sqrt (* n 2))))) 1544092552.509 * * [misc]simplify: iters left: 6 (8 enodes) 1544092552.510 * * [misc]simplify: iters left: 5 (13 enodes) 1544092552.512 * [exit]simplify: Simplified to (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) 1544092552.512 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (* (cbrt (sqrt (* 2 n))) (cbrt (sqrt (* 2 n))))) (* (/ (sqrt (sqrt k)) (cbrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.512 * * * * [misc]progress: [ 126 / 203 ] simplifiying candidate # 1544092552.512 * [enter]simplify: Simplifying (/ 1 (sqrt n)) 1544092552.512 * * [misc]simplify: iters left: 3 (4 enodes) 1544092552.512 * * [misc]simplify: iters left: 2 (6 enodes) 1544092552.513 * [exit]simplify: Simplified to (/ 1 (sqrt n)) 1544092552.513 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt n)) (* (/ (sqrt (sqrt k)) (sqrt 2)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.513 * * * * [misc]progress: [ 127 / 203 ] simplifiying candidate # 1544092552.513 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (* n 2)))) 1544092552.513 * * [misc]simplify: iters left: 6 (7 enodes) 1544092552.514 * * [misc]simplify: iters left: 5 (10 enodes) 1544092552.516 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (* 2 n)))) 1544092552.516 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (sqrt (* 2 n)))) (* (/ (sqrt (sqrt k)) (sqrt (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.516 * * * * [misc]progress: [ 128 / 203 ] simplifiying candidate # 1544092552.516 * [enter]simplify: Simplifying (/ 1 1) 1544092552.516 * * [misc]simplify: iters left: 2 (2 enodes) 1544092552.516 * * [misc]simplify: iters left: 1 (4 enodes) 1544092552.517 * [exit]simplify: Simplified to 1 1544092552.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* 1 (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.517 * * * * [misc]progress: [ 129 / 203 ] simplifiying candidate # 1544092552.517 * * * * [misc]progress: [ 130 / 203 ] simplifiying candidate # 1544092552.517 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544092552.517 * * [misc]simplify: iters left: 2 (3 enodes) 1544092552.517 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092552.517 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (* (/ 1 (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1544092552.517 * * * * [misc]progress: [ 131 / 203 ] simplifiying candidate # 1544092552.517 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092552.518 * * [misc]simplify: iters left: 5 (7 enodes) 1544092552.519 * * [misc]simplify: iters left: 4 (10 enodes) 1544092552.520 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092552.520 * [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)))))) 1544092552.520 * * * * [misc]progress: [ 132 / 203 ] simplifiying candidate # 1544092552.520 * [enter]simplify: Simplifying (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092552.520 * * [misc]simplify: iters left: 6 (11 enodes) 1544092552.522 * * [misc]simplify: iters left: 5 (17 enodes) 1544092552.524 * * [misc]simplify: iters left: 4 (19 enodes) 1544092552.527 * * [misc]simplify: iters left: 3 (20 enodes) 1544092552.529 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1544092552.529 * [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 (* n 2))))) 1544092552.529 * * * * [misc]progress: [ 133 / 203 ] simplifiying candidate # 1544092552.529 * * * * [misc]progress: [ 134 / 203 ] simplifiying candidate # 1544092552.529 * * * * [misc]progress: [ 135 / 203 ] simplifiying candidate # 1544092552.529 * * * * [misc]progress: [ 136 / 203 ] simplifiying candidate # 1544092552.530 * * * * [misc]progress: [ 137 / 203 ] simplifiying candidate # 1544092552.530 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544092552.530 * * [misc]simplify: iters left: 6 (22 enodes) 1544092552.536 * * [misc]simplify: iters left: 5 (47 enodes) 1544092552.549 * * [misc]simplify: iters left: 4 (117 enodes) 1544092552.578 * * [misc]simplify: iters left: 3 (366 enodes) 1544092552.728 * [exit]simplify: Simplified to (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) (log (sqrt (sqrt k)))) 1544092552.728 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) (log (sqrt (sqrt k)))))) 1544092552.728 * * * * [misc]progress: [ 138 / 203 ] simplifiying candidate # 1544092552.728 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544092552.728 * * [misc]simplify: iters left: 6 (22 enodes) 1544092552.732 * * [misc]simplify: iters left: 5 (47 enodes) 1544092552.741 * * [misc]simplify: iters left: 4 (117 enodes) 1544092552.795 * * [misc]simplify: iters left: 3 (366 enodes) 1544092552.975 * [exit]simplify: Simplified to (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) (log (sqrt (sqrt k)))) 1544092552.975 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) (log (sqrt (sqrt k)))))) 1544092552.975 * * * * [misc]progress: [ 139 / 203 ] simplifiying candidate # 1544092552.976 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2))))))) 1544092552.976 * * [misc]simplify: iters left: 6 (22 enodes) 1544092552.983 * * [misc]simplify: iters left: 5 (43 enodes) 1544092553.001 * * [misc]simplify: iters left: 4 (103 enodes) 1544092553.045 * * [misc]simplify: iters left: 3 (296 enodes) 1544092553.251 * [exit]simplify: Simplified to (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) 1544092553.252 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (- (fma (- 1/2 (/ k 2)) (log PI) (log (sqrt (* n 2)))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))))) 1544092553.252 * * * * [misc]progress: [ 140 / 203 ] simplifiying candidate # 1544092553.252 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (- (log (sqrt (sqrt k))) (log (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092553.252 * * [misc]simplify: iters left: 6 (22 enodes) 1544092553.256 * * [misc]simplify: iters left: 5 (39 enodes) 1544092553.262 * * [misc]simplify: iters left: 4 (82 enodes) 1544092553.279 * * [misc]simplify: iters left: 3 (214 enodes) 1544092553.376 * [exit]simplify: Simplified to (- (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))) 1544092553.376 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (fma (- 1/2 (/ k 2)) (log PI) (- (log (sqrt (* n 2))) (log (sqrt (sqrt k))))) (fma (/ k 2) (log (* n 2)) (log (sqrt (sqrt k))))))) 1544092553.376 * * * * [misc]progress: [ 141 / 203 ] simplifiying candidate # 1544092553.376 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544092553.376 * * [misc]simplify: iters left: 6 (22 enodes) 1544092553.380 * * [misc]simplify: iters left: 5 (45 enodes) 1544092553.388 * * [misc]simplify: iters left: 4 (107 enodes) 1544092553.418 * * [misc]simplify: iters left: 3 (339 enodes) 1544092553.584 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))) 1544092553.584 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))))) 1544092553.584 * * * * [misc]progress: [ 142 / 203 ] simplifiying candidate # 1544092553.584 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (* (log (* n 2)) (- (/ k 2)))))) 1544092553.584 * * [misc]simplify: iters left: 6 (22 enodes) 1544092553.591 * * [misc]simplify: iters left: 5 (45 enodes) 1544092553.603 * * [misc]simplify: iters left: 4 (107 enodes) 1544092553.630 * * [misc]simplify: iters left: 3 (339 enodes) 1544092553.791 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))) 1544092553.791 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))))) 1544092553.791 * * * * [misc]progress: [ 143 / 203 ] simplifiying candidate # 1544092553.792 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (- (log (sqrt (sqrt k))) (log (pow (* n 2) (- (/ k 2))))))) 1544092553.792 * * [misc]simplify: iters left: 6 (22 enodes) 1544092553.799 * * [misc]simplify: iters left: 5 (41 enodes) 1544092553.812 * * [misc]simplify: iters left: 4 (94 enodes) 1544092553.852 * * [misc]simplify: iters left: 3 (272 enodes) 1544092554.028 * [exit]simplify: Simplified to (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))) 1544092554.028 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (- 1/2 (/ k 2)) (log PI) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))))) 1544092554.028 * * * * [misc]progress: [ 144 / 203 ] simplifiying candidate # 1544092554.028 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (+ (log (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (log (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092554.028 * * [misc]simplify: iters left: 6 (21 enodes) 1544092554.033 * * [misc]simplify: iters left: 5 (37 enodes) 1544092554.039 * * [misc]simplify: iters left: 4 (73 enodes) 1544092554.054 * * [misc]simplify: iters left: 3 (190 enodes) 1544092554.139 * [exit]simplify: Simplified to (fma (log PI) (- 1/2 (/ k 2)) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))) 1544092554.139 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (fma (log PI) (- 1/2 (/ k 2)) (- (- (log (sqrt (* 2 n))) (log (sqrt (sqrt k)))) (fma (/ k 2) (log (* 2 n)) (log (sqrt (sqrt k)))))))) 1544092554.139 * * * * [misc]progress: [ 145 / 203 ] simplifiying candidate # 1544092554.139 * [enter]simplify: Simplifying (- (* (log PI) (- 1/2 (/ k 2))) (log (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092554.139 * * [misc]simplify: iters left: 6 (20 enodes) 1544092554.142 * * [misc]simplify: iters left: 5 (36 enodes) 1544092554.148 * * [misc]simplify: iters left: 4 (71 enodes) 1544092554.163 * * [misc]simplify: iters left: 3 (153 enodes) 1544092554.204 * * [misc]simplify: iters left: 2 (385 enodes) 1544092554.429 * [exit]simplify: Simplified to (- (- (* (log PI) (- 1/2 (/ k 2))) (* (log (* 2 n)) (/ k 2))) (log (/ (sqrt k) (sqrt (* 2 n))))) 1544092554.429 * [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))))))) 1544092554.429 * * * * [misc]progress: [ 146 / 203 ] simplifiying candidate # 1544092554.429 * * * * [misc]progress: [ 147 / 203 ] simplifiying candidate # 1544092554.429 * * * * [misc]progress: [ 148 / 203 ] simplifiying candidate # 1544092554.429 * [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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1544092554.429 * * [misc]simplify: iters left: 6 (28 enodes) 1544092554.434 * * [misc]simplify: iters left: 5 (68 enodes) 1544092554.460 * * [misc]simplify: iters left: 4 (297 enodes) 1544092554.738 * [exit]simplify: Simplified to (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (* (sqrt k) (/ (sqrt k) (* 2 n))) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (* (/ (pow (* 2 n) (- (/ k 2))) (sqrt (sqrt k))) (* (pow (* 2 n) (- (/ k 2))) (pow (* 2 n) (- (/ k 2)))))) 1544092554.738 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (* (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (* (sqrt k) (/ (sqrt k) (* 2 n))) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (* (/ (pow (* 2 n) (- (/ k 2))) (sqrt (sqrt k))) (* (pow (* 2 n) (- (/ k 2))) (pow (* 2 n) (- (/ k 2)))))))) 1544092554.738 * * * * [misc]progress: [ 149 / 203 ] simplifiying candidate # 1544092554.739 * [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 (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (sqrt (* n 2)) (sqrt (* n 2))) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092554.739 * * [misc]simplify: iters left: 6 (28 enodes) 1544092554.748 * * [misc]simplify: iters left: 5 (67 enodes) 1544092554.776 * * [misc]simplify: iters left: 4 (272 enodes) 1544092554.997 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (sqrt k) (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))) 1544092554.997 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (* (/ (sqrt k) (* 2 n)) (/ (sqrt (sqrt k)) (sqrt (* 2 n))))) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))))) 1544092554.997 * * * * [misc]progress: [ 150 / 203 ] simplifiying candidate # 1544092554.997 * [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 (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (* (* (sqrt (sqrt k)) (sqrt (sqrt k))) (sqrt (sqrt k))) (* (* (pow (* n 2) (- (/ k 2))) (pow (* n 2) (- (/ k 2)))) (pow (* n 2) (- (/ k 2))))))) 1544092554.998 * * [misc]simplify: iters left: 6 (28 enodes) 1544092555.008 * * [misc]simplify: iters left: 5 (67 enodes) 1544092555.041 * * [misc]simplify: iters left: 4 (256 enodes) 1544092555.290 * [exit]simplify: Simplified to (/ (* (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (pow (* 2 n) (/ (- k) 2)) 3)) (* (* (/ (sqrt k) (sqrt (* 2 n))) (sqrt k)) (/ (sqrt k) (* (sqrt (* 2 n)) (sqrt (* 2 n)))))) 1544092555.290 * [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) (sqrt (* 2 n))) (sqrt k)) (/ (sqrt k) (* (sqrt (* 2 n)) (sqrt (* 2 n)))))))) 1544092555.290 * * * * [misc]progress: [ 151 / 203 ] simplifiying candidate # 1544092555.290 * [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 (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) (* (* (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092555.290 * * [misc]simplify: iters left: 6 (26 enodes) 1544092555.295 * * [misc]simplify: iters left: 5 (63 enodes) 1544092555.308 * * [misc]simplify: iters left: 4 (221 enodes) 1544092555.428 * [exit]simplify: Simplified to (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 3)) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))) 1544092555.428 * [misc]simplify: Simplified (2 1) to (λ (k n) (cbrt (/ (/ (pow (pow PI (- 1/2 (/ k 2))) 3) (pow (/ (sqrt (sqrt k)) (sqrt (* 2 n))) 3)) (/ (/ (* (sqrt k) (sqrt (sqrt k))) (pow (* 2 n) (/ (- k) 2))) (* (pow (* 2 n) (/ (- k) 2)) (pow (* 2 n) (/ (- k) 2))))))) 1544092555.428 * * * * [misc]progress: [ 152 / 203 ] simplifiying candidate # 1544092555.429 * [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 (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092555.429 * * [misc]simplify: iters left: 6 (24 enodes) 1544092555.437 * * [misc]simplify: iters left: 5 (54 enodes) 1544092555.459 * * [misc]simplify: iters left: 4 (201 enodes) 1544092555.591 * [exit]simplify: Simplified to (pow (* (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (sqrt (* 2 n)))) (pow (* 2 n) (- (/ k 2)))) 3) 1544092555.591 * [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))) 1544092555.591 * * * * [misc]progress: [ 153 / 203 ] simplifiying candidate # 1544092555.591 * * * * [misc]progress: [ 154 / 203 ] simplifiying candidate # 1544092555.591 * * * * [misc]progress: [ 155 / 203 ] simplifiying candidate # 1544092555.591 * * * * [misc]progress: [ 156 / 203 ] simplifiying candidate # 1544092555.591 * * * * [misc]progress: [ 157 / 203 ] simplifiying candidate # 1544092555.591 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092555.591 * * [misc]simplify: iters left: 6 (14 enodes) 1544092555.594 * * [misc]simplify: iters left: 5 (21 enodes) 1544092555.598 * * [misc]simplify: iters left: 4 (26 enodes) 1544092555.604 * * [misc]simplify: iters left: 3 (30 enodes) 1544092555.612 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092555.612 * [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))))))) 1544092555.612 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092555.612 * * [misc]simplify: iters left: 6 (15 enodes) 1544092555.617 * * [misc]simplify: iters left: 5 (26 enodes) 1544092555.624 * * [misc]simplify: iters left: 4 (42 enodes) 1544092555.636 * * [misc]simplify: iters left: 3 (78 enodes) 1544092555.656 * * [misc]simplify: iters left: 2 (126 enodes) 1544092555.694 * * [misc]simplify: iters left: 1 (179 enodes) 1544092555.744 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092555.744 * [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)))))) 1544092555.744 * * * * [misc]progress: [ 158 / 203 ] simplifiying candidate # 1544092555.745 * [enter]simplify: Simplifying (/ (exp (* (log PI) 1/2)) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092555.745 * * [misc]simplify: iters left: 6 (14 enodes) 1544092555.749 * * [misc]simplify: iters left: 5 (21 enodes) 1544092555.754 * * [misc]simplify: iters left: 4 (26 enodes) 1544092555.761 * * [misc]simplify: iters left: 3 (30 enodes) 1544092555.768 * [exit]simplify: Simplified to (* (sqrt (* 2 n)) (/ (sqrt PI) (sqrt (sqrt k)))) 1544092555.768 * [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))))))) 1544092555.769 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092555.769 * * [misc]simplify: iters left: 6 (15 enodes) 1544092555.774 * * [misc]simplify: iters left: 5 (26 enodes) 1544092555.781 * * [misc]simplify: iters left: 4 (42 enodes) 1544092555.793 * * [misc]simplify: iters left: 3 (78 enodes) 1544092555.812 * * [misc]simplify: iters left: 2 (126 enodes) 1544092555.849 * * [misc]simplify: iters left: 1 (179 enodes) 1544092555.900 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (pow PI k)) (sqrt (sqrt k)))) 1544092555.900 * [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)))))) 1544092555.900 * * * * [misc]progress: [ 159 / 203 ] simplifiying candidate # 1544092555.900 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092555.901 * * [misc]simplify: iters left: 6 (14 enodes) 1544092555.905 * * [misc]simplify: iters left: 5 (20 enodes) 1544092555.911 * * [misc]simplify: iters left: 4 (24 enodes) 1544092555.918 * * [misc]simplify: iters left: 3 (29 enodes) 1544092555.925 * * [misc]simplify: iters left: 2 (30 enodes) 1544092555.933 * [exit]simplify: Simplified to (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt (sqrt k))) 1544092555.933 * [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))))))) 1544092555.933 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092555.933 * * [misc]simplify: iters left: 6 (15 enodes) 1544092555.937 * * [misc]simplify: iters left: 5 (25 enodes) 1544092555.945 * * [misc]simplify: iters left: 4 (46 enodes) 1544092555.958 * * [misc]simplify: iters left: 3 (81 enodes) 1544092555.980 * * [misc]simplify: iters left: 2 (123 enodes) 1544092556.013 * * [misc]simplify: iters left: 1 (177 enodes) 1544092556.049 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092556.049 * [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)))))) 1544092556.049 * * * * [misc]progress: [ 160 / 203 ] simplifiying candidate # 1544092556.049 * [enter]simplify: Simplifying (/ (exp (* 1/2 (log PI))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092556.050 * * [misc]simplify: iters left: 6 (14 enodes) 1544092556.052 * * [misc]simplify: iters left: 5 (20 enodes) 1544092556.055 * * [misc]simplify: iters left: 4 (24 enodes) 1544092556.059 * * [misc]simplify: iters left: 3 (29 enodes) 1544092556.063 * * [misc]simplify: iters left: 2 (30 enodes) 1544092556.067 * [exit]simplify: Simplified to (/ (* (sqrt (* 2 n)) (sqrt PI)) (sqrt (sqrt k))) 1544092556.067 * [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))))))) 1544092556.067 * [enter]simplify: Simplifying (/ (exp (* (- (/ k 2)) (log PI))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092556.067 * * [misc]simplify: iters left: 6 (15 enodes) 1544092556.071 * * [misc]simplify: iters left: 5 (25 enodes) 1544092556.081 * * [misc]simplify: iters left: 4 (46 enodes) 1544092556.094 * * [misc]simplify: iters left: 3 (81 enodes) 1544092556.115 * * [misc]simplify: iters left: 2 (123 enodes) 1544092556.148 * * [misc]simplify: iters left: 1 (177 enodes) 1544092556.199 * [exit]simplify: Simplified to (/ (pow (* n 2) (- (/ k 2))) (* (sqrt (sqrt k)) (sqrt (pow PI k)))) 1544092556.199 * [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)))))) 1544092556.199 * * * * [misc]progress: [ 161 / 203 ] simplifiying candidate # 1544092556.200 * [enter]simplify: Simplifying (/ (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092556.200 * * [misc]simplify: iters left: 6 (18 enodes) 1544092556.206 * * [misc]simplify: iters left: 5 (29 enodes) 1544092556.214 * * [misc]simplify: iters left: 4 (45 enodes) 1544092556.230 * * [misc]simplify: iters left: 3 (75 enodes) 1544092556.251 * * [misc]simplify: iters left: 2 (128 enodes) 1544092556.288 * * [misc]simplify: iters left: 1 (174 enodes) 1544092556.324 * [exit]simplify: Simplified to (/ (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092556.324 * [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))))))) 1544092556.324 * [enter]simplify: Simplifying (/ (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092556.324 * * [misc]simplify: iters left: 6 (18 enodes) 1544092556.327 * * [misc]simplify: iters left: 5 (28 enodes) 1544092556.331 * * [misc]simplify: iters left: 4 (38 enodes) 1544092556.336 * * [misc]simplify: iters left: 3 (58 enodes) 1544092556.346 * * [misc]simplify: iters left: 2 (99 enodes) 1544092556.371 * * [misc]simplify: iters left: 1 (139 enodes) 1544092556.386 * [exit]simplify: Simplified to (/ (cbrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092556.386 * [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)))))) 1544092556.386 * * * * [misc]progress: [ 162 / 203 ] simplifiying candidate # 1544092556.387 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092556.387 * * [misc]simplify: iters left: 6 (17 enodes) 1544092556.389 * * [misc]simplify: iters left: 5 (26 enodes) 1544092556.393 * * [misc]simplify: iters left: 4 (38 enodes) 1544092556.398 * * [misc]simplify: iters left: 3 (58 enodes) 1544092556.413 * * [misc]simplify: iters left: 2 (99 enodes) 1544092556.437 * * [misc]simplify: iters left: 1 (139 enodes) 1544092556.454 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (sqrt (* 2 n)))) 1544092556.454 * [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))))))) 1544092556.454 * [enter]simplify: Simplifying (/ (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092556.454 * * [misc]simplify: iters left: 6 (18 enodes) 1544092556.459 * * [misc]simplify: iters left: 5 (28 enodes) 1544092556.467 * * [misc]simplify: iters left: 4 (38 enodes) 1544092556.478 * * [misc]simplify: iters left: 3 (58 enodes) 1544092556.494 * * [misc]simplify: iters left: 2 (99 enodes) 1544092556.521 * * [misc]simplify: iters left: 1 (139 enodes) 1544092556.549 * [exit]simplify: Simplified to (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* 2 n) (/ (- k) 2)))) 1544092556.549 * [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)))))) 1544092556.549 * * * * [misc]progress: [ 163 / 203 ] simplifiying candidate # 1544092556.550 * [enter]simplify: Simplifying (/ 1 (/ (sqrt (sqrt k)) (sqrt (* n 2)))) 1544092556.550 * * [misc]simplify: iters left: 6 (10 enodes) 1544092556.553 * * [misc]simplify: iters left: 5 (15 enodes) 1544092556.557 * * [misc]simplify: iters left: 4 (18 enodes) 1544092556.562 * * [misc]simplify: iters left: 3 (26 enodes) 1544092556.570 * * [misc]simplify: iters left: 2 (34 enodes) 1544092556.577 * * [misc]simplify: iters left: 1 (47 enodes) 1544092556.589 * [exit]simplify: Simplified to (/ (sqrt (* n 2)) (sqrt (sqrt k))) 1544092556.589 * [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))))))) 1544092556.590 * [enter]simplify: Simplifying (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) 1544092556.590 * * [misc]simplify: iters left: 6 (17 enodes) 1544092556.595 * * [misc]simplify: iters left: 5 (27 enodes) 1544092556.602 * * [misc]simplify: iters left: 4 (37 enodes) 1544092556.613 * * [misc]simplify: iters left: 3 (57 enodes) 1544092556.625 * * [misc]simplify: iters left: 2 (104 enodes) 1544092556.640 * * [misc]simplify: iters left: 1 (157 enodes) 1544092556.672 * [exit]simplify: Simplified to (* (pow (* n 2) (/ (- k) 2)) (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k)))) 1544092556.673 * [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)))))) 1544092556.673 * * * * [misc]progress: [ 164 / 203 ] simplifiying candidate # 1544092556.673 * * * * [misc]progress: [ 165 / 203 ] simplifiying candidate # 1544092556.673 * * * * [misc]progress: [ 166 / 203 ] simplifiying candidate # 1544092556.673 * * * * [misc]progress: [ 167 / 203 ] simplifiying candidate # 1544092556.673 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1544092556.673 * * [misc]simplify: iters left: 6 (10 enodes) 1544092556.677 * * [misc]simplify: iters left: 5 (13 enodes) 1544092556.680 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1544092556.680 * [misc]simplify: Simplified (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))))) 1544092556.681 * * * * [misc]progress: [ 168 / 203 ] simplifiying candidate # 1544092556.681 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092556.681 * * [misc]simplify: iters left: 4 (5 enodes) 1544092556.683 * * [misc]simplify: iters left: 3 (9 enodes) 1544092556.685 * * [misc]simplify: iters left: 2 (11 enodes) 1544092556.688 * * [misc]simplify: iters left: 1 (13 enodes) 1544092556.691 * [exit]simplify: Simplified to (sqrt PI) 1544092556.691 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1544092556.691 * * * * [misc]progress: [ 169 / 203 ] simplifiying candidate # 1544092556.691 * [enter]simplify: Simplifying (exp (* (log PI) 1/2)) 1544092556.691 * * [misc]simplify: iters left: 4 (5 enodes) 1544092556.693 * * [misc]simplify: iters left: 3 (9 enodes) 1544092556.695 * * [misc]simplify: iters left: 2 (11 enodes) 1544092556.698 * * [misc]simplify: iters left: 1 (13 enodes) 1544092556.701 * [exit]simplify: Simplified to (sqrt PI) 1544092556.701 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (log PI) (- (/ k 2))))))) 1544092556.701 * * * * [misc]progress: [ 170 / 203 ] simplifiying candidate # 1544092556.701 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092556.701 * * [misc]simplify: iters left: 4 (5 enodes) 1544092556.703 * * [misc]simplify: iters left: 3 (8 enodes) 1544092556.706 * * [misc]simplify: iters left: 2 (9 enodes) 1544092556.710 * * [misc]simplify: iters left: 1 (12 enodes) 1544092556.713 * [exit]simplify: Simplified to (sqrt PI) 1544092556.714 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1544092556.714 * * * * [misc]progress: [ 171 / 203 ] simplifiying candidate # 1544092556.714 * [enter]simplify: Simplifying (exp (* 1/2 (log PI))) 1544092556.714 * * [misc]simplify: iters left: 4 (5 enodes) 1544092556.716 * * [misc]simplify: iters left: 3 (8 enodes) 1544092556.718 * * [misc]simplify: iters left: 2 (9 enodes) 1544092556.721 * * [misc]simplify: iters left: 1 (12 enodes) 1544092556.724 * [exit]simplify: Simplified to (sqrt PI) 1544092556.724 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt PI) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (exp (* (- (/ k 2)) (log PI)))))) 1544092556.724 * * * * [misc]progress: [ 172 / 203 ] simplifiying candidate # 1544092556.725 * [enter]simplify: Simplifying (* (cbrt (exp (* (log PI) (- 1/2 (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))) 1544092556.725 * * [misc]simplify: iters left: 6 (11 enodes) 1544092556.729 * * [misc]simplify: iters left: 5 (17 enodes) 1544092556.733 * * [misc]simplify: iters left: 4 (26 enodes) 1544092556.741 * * [misc]simplify: iters left: 3 (44 enodes) 1544092556.750 * * [misc]simplify: iters left: 2 (85 enodes) 1544092556.763 * * [misc]simplify: iters left: 1 (125 enodes) 1544092556.777 * [exit]simplify: Simplified to (* (cbrt (pow PI (- 1/2 (/ k 2)))) (cbrt (pow PI (- 1/2 (/ k 2))))) 1544092556.777 * [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 (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (cbrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1544092556.777 * * * * [misc]progress: [ 173 / 203 ] simplifiying candidate # 1544092556.777 * [enter]simplify: Simplifying (sqrt (exp (* (log PI) (- 1/2 (/ k 2))))) 1544092556.777 * * [misc]simplify: iters left: 6 (10 enodes) 1544092556.781 * * [misc]simplify: iters left: 5 (16 enodes) 1544092556.785 * * [misc]simplify: iters left: 4 (25 enodes) 1544092556.793 * * [misc]simplify: iters left: 3 (43 enodes) 1544092556.805 * * [misc]simplify: iters left: 2 (84 enodes) 1544092556.819 * * [misc]simplify: iters left: 1 (124 enodes) 1544092556.832 * [exit]simplify: Simplified to (sqrt (pow PI (- 1/2 (/ k 2)))) 1544092556.832 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (pow PI (- 1/2 (/ k 2)))) (/ (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))) (sqrt (exp (* (log PI) (- 1/2 (/ k 2)))))))) 1544092556.832 * * * * [misc]progress: [ 174 / 203 ] simplifiying candidate # 1544092556.832 * * * * [misc]progress: [ 175 / 203 ] simplifiying candidate # 1544092556.832 * [enter]simplify: Simplifying (* (sqrt (* n 2)) (pow (* n 2) (- (/ k 2)))) 1544092556.832 * * [misc]simplify: iters left: 6 (9 enodes) 1544092556.833 * * [misc]simplify: iters left: 5 (13 enodes) 1544092556.835 * [exit]simplify: Simplified to (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))) 1544092556.835 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (sqrt (sqrt k)))) (* (sqrt (* n 2)) (pow (* n 2) (/ (- k) 2))))) 1544092556.835 * * * * [misc]progress: [ 176 / 203 ] simplifiying candidate # 1544092556.835 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1544092556.835 * * [misc]simplify: iters left: 5 (7 enodes) 1544092556.838 * * [misc]simplify: iters left: 4 (10 enodes) 1544092556.841 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1544092556.841 * [misc]simplify: Simplified (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))))) 1544092556.841 * * * * [misc]progress: [ 177 / 203 ] simplifiying candidate # 1544092556.841 * [enter]simplify: Simplifying (sqrt (* n 2)) 1544092556.841 * * [misc]simplify: iters left: 3 (4 enodes) 1544092556.842 * * [misc]simplify: iters left: 2 (5 enodes) 1544092556.844 * [exit]simplify: Simplified to (sqrt (* n 2)) 1544092556.844 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))) (sqrt (* n 2)))) 1544092556.844 * * * * [misc]progress: [ 178 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 179 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 180 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 181 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 182 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 183 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 184 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 185 / 203 ] simplifiying candidate # 1544092556.844 * * * * [misc]progress: [ 186 / 203 ] simplifiying candidate # 1544092556.845 * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1544092556.845 * * [misc]simplify: iters left: 5 (5 enodes) 1544092556.846 * * [misc]simplify: iters left: 4 (6 enodes) 1544092556.848 * [exit]simplify: Simplified to (fabs (cbrt (sqrt k))) 1544092556.848 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (fabs (cbrt (sqrt k))) (sqrt (cbrt (sqrt k)))) (pow (* n 2) (- (/ k 2))))))) 1544092556.848 * * * * [misc]progress: [ 187 / 203 ] simplifiying candidate # 1544092556.848 * [enter]simplify: Simplifying (sqrt (sqrt (sqrt k))) 1544092556.848 * * [misc]simplify: iters left: 3 (4 enodes) 1544092556.849 * [exit]simplify: Simplified to (sqrt (sqrt (sqrt k))) 1544092556.849 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* (sqrt (sqrt (sqrt k))) (sqrt (sqrt (sqrt k)))) (pow (* n 2) (- (/ k 2))))))) 1544092556.849 * * * * [misc]progress: [ 188 / 203 ] simplifiying candidate # 1544092556.850 * [enter]simplify: Simplifying (sqrt 1) 1544092556.850 * * [misc]simplify: iters left: 1 (2 enodes) 1544092556.851 * [exit]simplify: Simplified to 1 1544092556.851 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (* 1 (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2))))))) 1544092556.851 * * * * [misc]progress: [ 189 / 203 ] simplifiying candidate # 1544092556.851 * * * * [misc]progress: [ 190 / 203 ] simplifiying candidate # 1544092556.851 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1544092556.851 * * [misc]simplify: iters left: 2 (3 enodes) 1544092556.852 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1544092556.852 * [misc]simplify: Simplified (2 2 2 1 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (fabs (sqrt (sqrt k))) (pow (* n 2) (- (/ k 2))))))) 1544092556.852 * * * * [misc]progress: [ 191 / 203 ] simplifiying candidate # 1544092556.852 * * * * [misc]progress: [ 192 / 203 ] simplifiying candidate # 1544092556.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ (pow n 2) (sqrt 2)) (pow k 1/4))) (- (+ (* +nan.0 (* (/ n (sqrt 2)) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (sqrt 2)) (pow k 1/4)))))))) 1544092556.853 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092556.853 * * * * [misc]progress: [ 193 / 203 ] simplifiying candidate # 1544092556.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 3))) (pow k 1/4))) (- (+ (* +nan.0 (* (/ 1 (* (sqrt 2) (pow n 2))) (pow k 1/4))) (- (* +nan.0 (* (/ 1 (* (sqrt 2) n)) (pow k 1/4)))))))) 1544092556.853 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092556.853 * * * * [misc]progress: [ 194 / 203 ] simplifiying candidate # 1544092556.853 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (sqrt +nan.0)) (- (* +nan.0 (/ (sqrt +nan.0) n))))))) 1544092556.853 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* +nan.0 (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2))))))) 1544092556.854 * * * * [misc]progress: [ 195 / 203 ] simplifiying candidate # 1544092556.854 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log n) 2) (pow k 3)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (* (log n) (pow k 3))) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) n))) (- (+ (* +nan.0 (/ (* (pow (log 2) 2) (pow k 3)) (* (sqrt 2) n))) (- (* +nan.0 (/ k (* (sqrt 2) n)))))))))))))) 1544092556.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092556.854 * * * * [misc]progress: [ 196 / 203 ] simplifiying candidate # 1544092556.854 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 3) (pow k 2)))))) (- (+ (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) (* (pow n 2) k))))) (- (* +nan.0 (/ 1 (* (exp (* -1/2 (* (- (log 2) (log (/ 1 n))) k))) (* (sqrt 2) n))))))))) 1544092556.854 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092556.854 * * * * [misc]progress: [ 197 / 203 ] simplifiying candidate # 1544092556.855 * [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)))))))))) 1544092556.855 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) +nan.0)) 1544092556.855 * * * * [misc]progress: [ 198 / 203 ] simplifiying candidate # 1544092556.855 * [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)))))))))))))))))))))) 1544092556.855 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092556.855 * * * * [misc]progress: [ 199 / 203 ] simplifiying candidate # 1544092556.855 * [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)) 1544092556.855 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092556.855 * * * * [misc]progress: [ 200 / 203 ] simplifiying candidate # 1544092556.856 * [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))))))) 1544092556.856 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1544092556.856 * * * * [misc]progress: [ 201 / 203 ] simplifiying candidate # 1544092556.856 * [enter]simplify: Simplifying (pow k 1/4) 1544092556.856 * * [misc]simplify: iters left: 1 (3 enodes) 1544092556.857 * [exit]simplify: Simplified to (pow k 1/4) 1544092556.857 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (pow k 1/4) (pow (* n 2) (- (/ k 2))))))) 1544092556.857 * * * * [misc]progress: [ 202 / 203 ] simplifiying candidate # 1544092556.857 * [enter]simplify: Simplifying (pow (/ 1 k) -1/4) 1544092556.857 * * [misc]simplify: iters left: 3 (5 enodes) 1544092556.859 * * [misc]simplify: iters left: 2 (7 enodes) 1544092556.860 * [exit]simplify: Simplified to (pow (/ 1 k) -1/4) 1544092556.860 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (pow (/ 1 k) -1/4) (pow (* n 2) (- (/ k 2))))))) 1544092556.860 * * * * [misc]progress: [ 203 / 203 ] simplifiying candidate # 1544092556.860 * [enter]simplify: Simplifying (- (sqrt +nan.0) (+ (* +nan.0 (/ 1 (* (sqrt +nan.0) k))) (- (+ (* +nan.0 (/ 1 (* (pow (sqrt +nan.0) 3) (pow k 2)))) (- (* +nan.0 (/ 1 (* (sqrt +nan.0) (pow k 2))))))))) 1544092556.860 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ (exp (* (log PI) (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ +nan.0 (pow (* n 2) (- (/ k 2))))))) 1544092556.860 * * * [misc]progress: adding candidates to table 1544092559.921 * [misc]progress: [Phase 3 of 3] Extracting. 1544092559.921 * * [misc]regime: Finding splitpoints for: (# # # # # # #) 1544092559.923 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1544092559.923 * * * * [misc]regimes: Trying to branch on n from (# # # # # # #) 1544092559.979 * * * * [misc]regimes: Trying to branch on k from (# # # # # # #) 1544092560.063 * * * [misc]regime: Found split indices: #