1536826576.901 * [misc]progress: [Phase 1 of 3] Setting up. 1536826576.902 * * * [misc]progress: [1/2] Preparing points 1536826576.902 * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 1536826576.904 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision 1536826576.908 * * * * [misc]points: Setting MPFR precision to 64 1536826576.910 * * * * [misc]points: Setting MPFR precision to 320 1536826576.911 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision 1536826576.915 * * * * [misc]points: Setting MPFR precision to 64 1536826576.918 * * * * [misc]points: Setting MPFR precision to 320 1536826576.921 * * * * [misc]points: Setting MPFR precision to 576 1536826576.924 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision 1536826576.928 * * * * [misc]points: Setting MPFR precision to 320 1536826576.933 * * * * [misc]points: Setting MPFR precision to 576 1536826576.938 * * * * [misc]points: Setting MPFR precision to 832 1536826576.944 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision 1536826576.948 * * * * [misc]points: Setting MPFR precision to 576 1536826576.957 * * * * [misc]points: Setting MPFR precision to 832 1536826576.966 * * * * [misc]points: Computing exacts for 256 points 1536826576.970 * * * * [misc]points: Setting MPFR precision to 576 1536826577.000 * * * * [misc]points: Setting MPFR precision to 832 1536826577.014 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.028 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.044 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.044 * * * * [misc]points: Sampling 211 additional inputs, on iter 1 have 45 / 256 1536826577.045 * * * * [misc]points: Computing exacts on every 13 of 211 points to ramp up precision 1536826577.048 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.049 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.049 * * * * [misc]points: Computing exacts on every 6 of 211 points to ramp up precision 1536826577.051 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.053 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.055 * * * * [misc]points: Computing exacts on every 3 of 211 points to ramp up precision 1536826577.057 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.060 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.063 * * * * [misc]points: Computing exacts for 211 points 1536826577.065 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.087 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.112 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.112 * * * * [misc]points: Sampling 179 additional inputs, on iter 2 have 77 / 256 1536826577.114 * * * * [misc]points: Computing exacts on every 11 of 179 points to ramp up precision 1536826577.118 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.119 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.121 * * * * [misc]points: Computing exacts on every 5 of 179 points to ramp up precision 1536826577.125 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.129 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.131 * * * * [misc]points: Computing exacts on every 2 of 179 points to ramp up precision 1536826577.133 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.137 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.163 * * * * [misc]points: Computing exacts for 179 points 1536826577.166 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.178 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.189 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.189 * * * * [misc]points: Sampling 144 additional inputs, on iter 3 have 112 / 256 1536826577.190 * * * * [misc]points: Computing exacts on every 9 of 144 points to ramp up precision 1536826577.193 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.194 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.194 * * * * [misc]points: Computing exacts on every 4 of 144 points to ramp up precision 1536826577.197 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.198 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.200 * * * * [misc]points: Computing exacts on every 2 of 144 points to ramp up precision 1536826577.203 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.208 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.214 * * * * [misc]points: Computing exacts for 144 points 1536826577.218 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.234 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.251 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.252 * * * * [misc]points: Sampling 112 additional inputs, on iter 4 have 144 / 256 1536826577.253 * * * * [misc]points: Computing exacts on every 7 of 112 points to ramp up precision 1536826577.257 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.259 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.260 * * * * [misc]points: Computing exacts on every 3 of 112 points to ramp up precision 1536826577.265 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.268 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.271 * * * * [misc]points: Computing exacts for 112 points 1536826577.275 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.288 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.301 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.301 * * * * [misc]points: Sampling 92 additional inputs, on iter 5 have 164 / 256 1536826577.303 * * * * [misc]points: Computing exacts on every 5 of 92 points to ramp up precision 1536826577.307 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.308 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.309 * * * * [misc]points: Computing exacts on every 2 of 92 points to ramp up precision 1536826577.311 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.313 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.314 * * * * [misc]points: Computing exacts for 92 points 1536826577.317 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.343 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.349 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.349 * * * * [misc]points: Sampling 77 additional inputs, on iter 6 have 179 / 256 1536826577.350 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision 1536826577.352 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.353 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.354 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision 1536826577.357 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.359 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.360 * * * * [misc]points: Computing exacts for 77 points 1536826577.363 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.367 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.372 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.372 * * * * [misc]points: Sampling 60 additional inputs, on iter 7 have 196 / 256 1536826577.373 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision 1536826577.375 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.376 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.378 * * * * [misc]points: Computing exacts for 60 points 1536826577.380 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.383 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.390 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.391 * * * * [misc]points: Sampling 52 additional inputs, on iter 8 have 204 / 256 1536826577.391 * * * * [misc]points: Computing exacts on every 3 of 52 points to ramp up precision 1536826577.395 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.397 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.399 * * * * [misc]points: Computing exacts for 52 points 1536826577.403 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.410 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.414 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.414 * * * * [misc]points: Sampling 41 additional inputs, on iter 9 have 215 / 256 1536826577.414 * * * * [misc]points: Computing exacts on every 2 of 41 points to ramp up precision 1536826577.416 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.417 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.418 * * * * [misc]points: Computing exacts for 41 points 1536826577.420 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.423 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.425 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.425 * * * * [misc]points: Sampling 36 additional inputs, on iter 10 have 220 / 256 1536826577.426 * * * * [misc]points: Computing exacts on every 2 of 36 points to ramp up precision 1536826577.428 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.429 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.430 * * * * [misc]points: Computing exacts for 36 points 1536826577.432 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.434 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.436 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.436 * * * * [misc]points: Sampling 27 additional inputs, on iter 11 have 229 / 256 1536826577.437 * * * * [misc]points: Computing exacts for 27 points 1536826577.439 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.441 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.442 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.442 * * * * [misc]points: Sampling 21 additional inputs, on iter 12 have 235 / 256 1536826577.442 * * * * [misc]points: Computing exacts for 21 points 1536826577.445 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.446 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.447 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.447 * * * * [misc]points: Sampling 17 additional inputs, on iter 13 have 239 / 256 1536826577.448 * * * * [misc]points: Computing exacts for 17 points 1536826577.450 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.451 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.452 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.452 * * * * [misc]points: Sampling 12 additional inputs, on iter 14 have 244 / 256 1536826577.452 * * * * [misc]points: Computing exacts for 12 points 1536826577.454 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.475 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.476 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.476 * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 1536826577.477 * * * * [misc]points: Computing exacts for 8 points 1536826577.481 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.482 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.483 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.483 * * * * [misc]points: Sampling 7 additional inputs, on iter 16 have 249 / 256 1536826577.483 * * * * [misc]points: Computing exacts for 7 points 1536826577.491 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.492 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.493 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.493 * * * * [misc]points: Sampling 5 additional inputs, on iter 17 have 251 / 256 1536826577.493 * * * * [misc]points: Computing exacts for 5 points 1536826577.497 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.498 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.499 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.499 * * * * [misc]points: Sampling 5 additional inputs, on iter 18 have 251 / 256 1536826577.499 * * * * [misc]points: Computing exacts for 5 points 1536826577.503 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.504 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.504 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.504 * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 1536826577.505 * * * * [misc]points: Computing exacts for 4 points 1536826577.509 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.509 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.510 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.510 * * * * [misc]points: Sampling 4 additional inputs, on iter 20 have 252 / 256 1536826577.510 * * * * [misc]points: Computing exacts for 4 points 1536826577.514 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.515 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.515 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.515 * * * * [misc]points: Sampling 4 additional inputs, on iter 21 have 252 / 256 1536826577.515 * * * * [misc]points: Computing exacts for 4 points 1536826577.519 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.520 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.520 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.520 * * * * [misc]points: Sampling 4 additional inputs, on iter 22 have 254 / 256 1536826577.521 * * * * [misc]points: Computing exacts for 4 points 1536826577.525 * * * * [misc]points: Setting MPFR precision to 1088 1536826577.525 * * * * [misc]points: Setting MPFR precision to 1344 1536826577.526 * * * * [misc]points: Filtering points with unrepresentable outputs 1536826577.526 * * * * [exit]points: Sampled 256 points with exact outputs 1536826577.526 * * * [misc]progress: [2/2] Setting up program. 1536826577.538 * [misc]progress: [Phase 2 of 3] Improving. 1536826577.538 * [enter]simplify: Simplifying (* (/ 1 (sqrt k)) (pow (* (* 2 PI) n) (/ (- 1 k) 2))) 1536826577.540 * * [misc]simplify: iters left: 6 (13 enodes) 1536826577.547 * * [misc]simplify: iters left: 5 (28 enodes) 1536826577.559 * * [misc]simplify: iters left: 4 (44 enodes) 1536826577.575 * * [misc]simplify: iters left: 3 (54 enodes) 1536826577.587 * * [misc]simplify: iters left: 2 (57 enodes) 1536826577.601 * * [misc]simplify: iters left: 1 (65 enodes) 1536826577.630 * [exit]simplify: Simplified to (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1536826577.653 * * [misc]progress: iteration 1 / 4 1536826577.654 * * * [misc]progress: picking best candidate 1536826577.675 * * * * [misc]pick: Picked # 1536826577.676 * * * [misc]progress: localizing error 1536826577.744 * * * [misc]progress: generating rewritten candidates 1536826577.744 * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1) 1536826577.785 * * * * [misc]progress: [ 2 / 3 ] rewriting at (2) 1536826577.850 * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 1) 1536826577.872 * * * [misc]progress: generating series expansions 1536826577.872 * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1) 1536826577.873 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536826577.873 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536826577.873 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.873 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.873 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.873 * [misc]taylor: Taking taylor expansion of k in k 1536826577.873 * [misc]backup-simplify: Simplify 0 into 0 1536826577.873 * [misc]backup-simplify: Simplify 1 into 1 1536826577.873 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of 2 in k 1536826577.873 * [misc]backup-simplify: Simplify 2 into 2 1536826577.873 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826577.873 * [misc]taylor: Taking taylor expansion of n in k 1536826577.873 * [misc]backup-simplify: Simplify n into n 1536826577.873 * [misc]taylor: Taking taylor expansion of PI in k 1536826577.873 * [misc]backup-simplify: Simplify PI into PI 1536826577.873 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826577.873 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826577.874 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826577.874 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826577.874 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.874 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826577.875 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826577.875 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826577.875 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.875 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.875 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.875 * [misc]taylor: Taking taylor expansion of k in n 1536826577.875 * [misc]backup-simplify: Simplify k into k 1536826577.875 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826577.875 * [misc]taylor: Taking taylor expansion of 2 in n 1536826577.876 * [misc]backup-simplify: Simplify 2 into 2 1536826577.876 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826577.876 * [misc]taylor: Taking taylor expansion of n in n 1536826577.876 * [misc]backup-simplify: Simplify 0 into 0 1536826577.876 * [misc]backup-simplify: Simplify 1 into 1 1536826577.876 * [misc]taylor: Taking taylor expansion of PI in n 1536826577.876 * [misc]backup-simplify: Simplify PI into PI 1536826577.876 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826577.876 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826577.877 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826577.878 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826577.878 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.878 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826577.878 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826577.878 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826577.879 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826577.880 * [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)))) 1536826577.881 * [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))))) 1536826577.881 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.881 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.881 * [misc]taylor: Taking taylor expansion of k in n 1536826577.881 * [misc]backup-simplify: Simplify k into k 1536826577.881 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of 2 in n 1536826577.881 * [misc]backup-simplify: Simplify 2 into 2 1536826577.881 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826577.881 * [misc]taylor: Taking taylor expansion of n in n 1536826577.881 * [misc]backup-simplify: Simplify 0 into 0 1536826577.881 * [misc]backup-simplify: Simplify 1 into 1 1536826577.881 * [misc]taylor: Taking taylor expansion of PI in n 1536826577.881 * [misc]backup-simplify: Simplify PI into PI 1536826577.882 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826577.882 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826577.883 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826577.883 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826577.884 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.884 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826577.884 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826577.884 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826577.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826577.886 * [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)))) 1536826577.886 * [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))))) 1536826577.887 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.887 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.887 * [misc]taylor: Taking taylor expansion of k in k 1536826577.887 * [misc]backup-simplify: Simplify 0 into 0 1536826577.887 * [misc]backup-simplify: Simplify 1 into 1 1536826577.887 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of n in k 1536826577.887 * [misc]backup-simplify: Simplify n into n 1536826577.887 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826577.887 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826577.887 * [misc]taylor: Taking taylor expansion of 2 in k 1536826577.887 * [misc]backup-simplify: Simplify 2 into 2 1536826577.887 * [misc]taylor: Taking taylor expansion of PI in k 1536826577.887 * [misc]backup-simplify: Simplify PI into PI 1536826577.888 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826577.888 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.888 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826577.888 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.889 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826577.889 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826577.890 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536826577.891 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826577.891 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826577.893 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826577.894 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826577.898 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826577.898 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536826577.898 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.898 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.899 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826577.900 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826577.902 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826577.902 * [misc]taylor: Taking taylor expansion of 0 in k 1536826577.902 * [misc]backup-simplify: Simplify 0 into 0 1536826577.902 * [misc]backup-simplify: Simplify 0 into 0 1536826577.903 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536826577.903 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826577.906 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826577.907 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.907 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826577.907 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826577.907 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826577.908 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536826577.909 * [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))))))) 1536826577.910 * [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))))))) 1536826577.916 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826577.917 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826577.920 * [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 1536826577.920 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536826577.920 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.921 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.921 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826577.922 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826577.923 * [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 1536826577.923 * [misc]taylor: Taking taylor expansion of 0 in k 1536826577.923 * [misc]backup-simplify: Simplify 0 into 0 1536826577.923 * [misc]backup-simplify: Simplify 0 into 0 1536826577.923 * [misc]backup-simplify: Simplify 0 into 0 1536826577.924 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536826577.925 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826577.929 * [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 1536826577.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826577.929 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.930 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826577.932 * [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))))) 1536826577.935 * [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))))) 1536826577.941 * [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))))) 1536826577.942 * [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)))) 1536826577.942 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536826577.942 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.942 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.942 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.942 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of k in k 1536826577.942 * [misc]backup-simplify: Simplify 0 into 0 1536826577.942 * [misc]backup-simplify: Simplify 1 into 1 1536826577.942 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826577.942 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826577.942 * [misc]taylor: Taking taylor expansion of 2 in k 1536826577.943 * [misc]backup-simplify: Simplify 2 into 2 1536826577.943 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826577.943 * [misc]taylor: Taking taylor expansion of PI in k 1536826577.943 * [misc]backup-simplify: Simplify PI into PI 1536826577.943 * [misc]taylor: Taking taylor expansion of n in k 1536826577.943 * [misc]backup-simplify: Simplify n into n 1536826577.943 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826577.943 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826577.943 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826577.943 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826577.944 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826577.944 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826577.944 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826577.944 * [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)))) 1536826577.944 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826577.944 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826577.944 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826577.944 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826577.944 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.945 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826577.945 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.945 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.945 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826577.945 * [misc]taylor: Taking taylor expansion of k in n 1536826577.945 * [misc]backup-simplify: Simplify k into k 1536826577.945 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826577.945 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826577.945 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826577.945 * [misc]taylor: Taking taylor expansion of 2 in n 1536826577.945 * [misc]backup-simplify: Simplify 2 into 2 1536826577.945 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826577.945 * [misc]taylor: Taking taylor expansion of PI in n 1536826577.945 * [misc]backup-simplify: Simplify PI into PI 1536826577.945 * [misc]taylor: Taking taylor expansion of n in n 1536826577.945 * [misc]backup-simplify: Simplify 0 into 0 1536826577.945 * [misc]backup-simplify: Simplify 1 into 1 1536826577.945 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826577.946 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826577.946 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.946 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826577.946 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826577.947 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826577.947 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826577.948 * [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))) 1536826577.949 * [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)))) 1536826577.949 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826577.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of k in n 1536826577.949 * [misc]backup-simplify: Simplify k into k 1536826577.949 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826577.949 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of 2 in n 1536826577.949 * [misc]backup-simplify: Simplify 2 into 2 1536826577.949 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826577.949 * [misc]taylor: Taking taylor expansion of PI in n 1536826577.949 * [misc]backup-simplify: Simplify PI into PI 1536826577.950 * [misc]taylor: Taking taylor expansion of n in n 1536826577.950 * [misc]backup-simplify: Simplify 0 into 0 1536826577.950 * [misc]backup-simplify: Simplify 1 into 1 1536826577.950 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826577.950 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826577.951 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.951 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826577.951 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826577.951 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826577.952 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826577.952 * [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))) 1536826577.953 * [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)))) 1536826577.953 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536826577.953 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536826577.953 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826577.953 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.954 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.954 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826577.954 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826577.954 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826577.954 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826577.954 * [misc]taylor: Taking taylor expansion of k in k 1536826577.954 * [misc]backup-simplify: Simplify 0 into 0 1536826577.954 * [misc]backup-simplify: Simplify 1 into 1 1536826577.954 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826577.954 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536826577.954 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826577.954 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826577.954 * [misc]taylor: Taking taylor expansion of 2 in k 1536826577.954 * [misc]backup-simplify: Simplify 2 into 2 1536826577.954 * [misc]taylor: Taking taylor expansion of PI in k 1536826577.954 * [misc]backup-simplify: Simplify PI into PI 1536826577.955 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826577.955 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826577.955 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826577.955 * [misc]taylor: Taking taylor expansion of n in k 1536826577.955 * [misc]backup-simplify: Simplify n into n 1536826577.955 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826577.956 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826577.956 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826577.956 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826577.956 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826577.957 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536826577.957 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536826577.958 * [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)))) 1536826577.959 * [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)))) 1536826577.960 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826577.961 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826577.964 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826577.964 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826577.965 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826577.965 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.965 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.966 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826577.967 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826577.968 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826577.968 * [misc]taylor: Taking taylor expansion of 0 in k 1536826577.968 * [misc]backup-simplify: Simplify 0 into 0 1536826577.968 * [misc]backup-simplify: Simplify 0 into 0 1536826577.969 * [misc]backup-simplify: Simplify 0 into 0 1536826577.970 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826577.971 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826577.978 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1536826577.978 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826577.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826577.979 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.979 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.980 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826577.981 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536826577.983 * [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 1536826577.983 * [misc]taylor: Taking taylor expansion of 0 in k 1536826577.983 * [misc]backup-simplify: Simplify 0 into 0 1536826577.983 * [misc]backup-simplify: Simplify 0 into 0 1536826577.983 * [misc]backup-simplify: Simplify 0 into 0 1536826577.983 * [misc]backup-simplify: Simplify 0 into 0 1536826577.986 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826577.987 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826577.997 * [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 1536826577.997 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826577.998 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826577.998 * [misc]backup-simplify: Simplify (- 0) into 0 1536826577.998 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826577.999 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.000 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536826578.004 * [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 1536826578.004 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.004 * [misc]backup-simplify: Simplify 0 into 0 1536826578.005 * [misc]backup-simplify: Simplify 0 into 0 1536826578.006 * [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))))) 1536826578.006 * [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)) 1536826578.006 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536826578.006 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.006 * [misc]taylor: Taking taylor expansion of k in k 1536826578.006 * [misc]backup-simplify: Simplify 0 into 0 1536826578.006 * [misc]backup-simplify: Simplify 1 into 1 1536826578.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.007 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.007 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826578.007 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826578.007 * [misc]taylor: Taking taylor expansion of -2 in k 1536826578.007 * [misc]backup-simplify: Simplify -2 into -2 1536826578.007 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826578.007 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.007 * [misc]backup-simplify: Simplify PI into PI 1536826578.007 * [misc]taylor: Taking taylor expansion of n in k 1536826578.007 * [misc]backup-simplify: Simplify n into n 1536826578.007 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826578.007 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826578.007 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826578.007 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.008 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.008 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826578.008 * [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))) 1536826578.008 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.008 * [misc]taylor: Taking taylor expansion of k in n 1536826578.008 * [misc]backup-simplify: Simplify k into k 1536826578.009 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.009 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.009 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.009 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826578.009 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.009 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.009 * [misc]backup-simplify: Simplify -2 into -2 1536826578.009 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.009 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.009 * [misc]backup-simplify: Simplify PI into PI 1536826578.009 * [misc]taylor: Taking taylor expansion of n in n 1536826578.009 * [misc]backup-simplify: Simplify 0 into 0 1536826578.009 * [misc]backup-simplify: Simplify 1 into 1 1536826578.009 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.010 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.010 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.010 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.011 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826578.011 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.012 * [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))) 1536826578.013 * [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)))) 1536826578.013 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.013 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of k in n 1536826578.013 * [misc]backup-simplify: Simplify k into k 1536826578.013 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.013 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.013 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.013 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.013 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.013 * [misc]backup-simplify: Simplify -2 into -2 1536826578.013 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.014 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.014 * [misc]backup-simplify: Simplify PI into PI 1536826578.014 * [misc]taylor: Taking taylor expansion of n in n 1536826578.014 * [misc]backup-simplify: Simplify 0 into 0 1536826578.014 * [misc]backup-simplify: Simplify 1 into 1 1536826578.014 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.014 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.015 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.015 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.015 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826578.016 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.016 * [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))) 1536826578.017 * [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)))) 1536826578.017 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536826578.017 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536826578.017 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826578.017 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.017 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.018 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.018 * [misc]taylor: Taking taylor expansion of k in k 1536826578.018 * [misc]backup-simplify: Simplify 0 into 0 1536826578.018 * [misc]backup-simplify: Simplify 1 into 1 1536826578.018 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.018 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.018 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.018 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536826578.018 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536826578.018 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536826578.018 * [misc]taylor: Taking taylor expansion of -2 in k 1536826578.018 * [misc]backup-simplify: Simplify -2 into -2 1536826578.018 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.018 * [misc]backup-simplify: Simplify PI into PI 1536826578.018 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.019 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.019 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826578.019 * [misc]taylor: Taking taylor expansion of n in k 1536826578.019 * [misc]backup-simplify: Simplify n into n 1536826578.019 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826578.019 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.019 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.019 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826578.020 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536826578.021 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536826578.021 * [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)))) 1536826578.022 * [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)))) 1536826578.024 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826578.024 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826578.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826578.028 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826578.028 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826578.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.029 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.030 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536826578.032 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826578.032 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.032 * [misc]backup-simplify: Simplify 0 into 0 1536826578.032 * [misc]backup-simplify: Simplify 0 into 0 1536826578.032 * [misc]backup-simplify: Simplify 0 into 0 1536826578.034 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.035 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.041 * [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 1536826578.041 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.042 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826578.042 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.043 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.044 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536826578.046 * [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 1536826578.046 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.047 * [misc]backup-simplify: Simplify 0 into 0 1536826578.047 * [misc]backup-simplify: Simplify 0 into 0 1536826578.047 * [misc]backup-simplify: Simplify 0 into 0 1536826578.047 * [misc]backup-simplify: Simplify 0 into 0 1536826578.049 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.050 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.065 * [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 1536826578.065 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.066 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826578.066 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.067 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.068 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536826578.070 * [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 1536826578.070 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.070 * [misc]backup-simplify: Simplify 0 into 0 1536826578.070 * [misc]backup-simplify: Simplify 0 into 0 1536826578.071 * [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))))) 1536826578.071 * * * * [misc]progress: [ 2 / 3 ] generating series at (2) 1536826578.072 * [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)))) 1536826578.072 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (n k) around 0 1536826578.072 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826578.072 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826578.072 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.072 * [misc]taylor: Taking taylor expansion of k in k 1536826578.072 * [misc]backup-simplify: Simplify 0 into 0 1536826578.072 * [misc]backup-simplify: Simplify 1 into 1 1536826578.072 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.072 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.072 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826578.072 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826578.072 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.073 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.073 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.073 * [misc]taylor: Taking taylor expansion of k in k 1536826578.073 * [misc]backup-simplify: Simplify 0 into 0 1536826578.073 * [misc]backup-simplify: Simplify 1 into 1 1536826578.073 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of 2 in k 1536826578.073 * [misc]backup-simplify: Simplify 2 into 2 1536826578.073 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826578.073 * [misc]taylor: Taking taylor expansion of n in k 1536826578.073 * [misc]backup-simplify: Simplify n into n 1536826578.073 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.073 * [misc]backup-simplify: Simplify PI into PI 1536826578.073 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826578.073 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826578.073 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826578.073 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826578.073 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.073 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.074 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826578.074 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826578.074 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of k in n 1536826578.074 * [misc]backup-simplify: Simplify k into k 1536826578.074 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.074 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826578.074 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826578.074 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826578.074 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.074 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.074 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.074 * [misc]taylor: Taking taylor expansion of k in n 1536826578.074 * [misc]backup-simplify: Simplify k into k 1536826578.074 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.074 * [misc]backup-simplify: Simplify 2 into 2 1536826578.074 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826578.074 * [misc]taylor: Taking taylor expansion of n in n 1536826578.074 * [misc]backup-simplify: Simplify 0 into 0 1536826578.074 * [misc]backup-simplify: Simplify 1 into 1 1536826578.074 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.074 * [misc]backup-simplify: Simplify PI into PI 1536826578.075 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826578.075 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826578.075 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826578.076 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826578.076 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.076 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826578.076 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826578.076 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826578.077 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.077 * [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)))) 1536826578.078 * [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))))) 1536826578.078 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of k in n 1536826578.078 * [misc]backup-simplify: Simplify k into k 1536826578.078 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.078 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826578.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826578.078 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826578.078 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.078 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.078 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.078 * [misc]taylor: Taking taylor expansion of k in n 1536826578.078 * [misc]backup-simplify: Simplify k into k 1536826578.078 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.078 * [misc]backup-simplify: Simplify 2 into 2 1536826578.078 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826578.078 * [misc]taylor: Taking taylor expansion of n in n 1536826578.078 * [misc]backup-simplify: Simplify 0 into 0 1536826578.078 * [misc]backup-simplify: Simplify 1 into 1 1536826578.078 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.078 * [misc]backup-simplify: Simplify PI into PI 1536826578.078 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826578.079 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826578.079 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826578.080 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826578.080 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.080 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826578.080 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826578.080 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826578.081 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.081 * [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)))) 1536826578.082 * [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))))) 1536826578.082 * [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))) 1536826578.082 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (sqrt (/ 1 k))) in k 1536826578.082 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536826578.082 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.083 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.083 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.083 * [misc]taylor: Taking taylor expansion of k in k 1536826578.083 * [misc]backup-simplify: Simplify 0 into 0 1536826578.083 * [misc]backup-simplify: Simplify 1 into 1 1536826578.083 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of n in k 1536826578.083 * [misc]backup-simplify: Simplify n into n 1536826578.083 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826578.083 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826578.083 * [misc]taylor: Taking taylor expansion of 2 in k 1536826578.083 * [misc]backup-simplify: Simplify 2 into 2 1536826578.083 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.083 * [misc]backup-simplify: Simplify PI into PI 1536826578.083 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.083 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.084 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826578.084 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.084 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.084 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.085 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536826578.085 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826578.085 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826578.085 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.085 * [misc]taylor: Taking taylor expansion of k in k 1536826578.085 * [misc]backup-simplify: Simplify 0 into 0 1536826578.085 * [misc]backup-simplify: Simplify 1 into 1 1536826578.085 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.085 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.086 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826578.086 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 0) into 0 1536826578.086 * [misc]backup-simplify: Simplify 0 into 0 1536826578.087 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826578.087 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826578.089 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826578.090 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536826578.090 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.090 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.090 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.091 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826578.092 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826578.092 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))))) into 0 1536826578.092 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.092 * [misc]backup-simplify: Simplify 0 into 0 1536826578.093 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536826578.093 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826578.095 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826578.096 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.096 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826578.096 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826578.096 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826578.096 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536826578.098 * [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))))))) 1536826578.099 * [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))))))) 1536826578.100 * [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))))))) 1536826578.101 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.102 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826578.105 * [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 1536826578.106 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536826578.106 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.106 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.106 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.107 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826578.108 * [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 1536826578.109 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.109 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 k)))) into 0 1536826578.110 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 k)) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))))) into 0 1536826578.110 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.110 * [misc]backup-simplify: Simplify 0 into 0 1536826578.110 * [misc]backup-simplify: Simplify 0 into 0 1536826578.110 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826578.111 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826578.113 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536826578.114 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.120 * [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 1536826578.120 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.120 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826578.121 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.121 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.122 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826578.126 * [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))))) 1536826578.133 * [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)))))))) 1536826578.137 * [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)))))))) 1536826578.140 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826578.142 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536826578.152 * [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 1536826578.152 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 k)))) into 0 1536826578.153 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.153 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.154 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826578.155 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1536826578.159 * [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 1536826578.159 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.159 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 k)))) into 0 1536826578.161 * [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 1536826578.161 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.161 * [misc]backup-simplify: Simplify 0 into 0 1536826578.161 * [misc]backup-simplify: Simplify 0 into 0 1536826578.161 * [misc]backup-simplify: Simplify 0 into 0 1536826578.161 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.163 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826578.167 * [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 1536826578.168 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.178 * [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 1536826578.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.179 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536826578.179 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.179 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.180 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI))))))) into 0 1536826578.191 * [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))))))) 1536826578.213 * [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)))))))))))))) 1536826578.226 * [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)))))))))))))) 1536826578.247 * [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)))))))))))))))))))))) 1536826578.247 * [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))))) 1536826578.248 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (n k) around 0 1536826578.248 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826578.248 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826578.248 * [misc]taylor: Taking taylor expansion of k in k 1536826578.248 * [misc]backup-simplify: Simplify 0 into 0 1536826578.248 * [misc]backup-simplify: Simplify 1 into 1 1536826578.248 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.249 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826578.249 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.249 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.249 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.249 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of k in k 1536826578.249 * [misc]backup-simplify: Simplify 0 into 0 1536826578.249 * [misc]backup-simplify: Simplify 1 into 1 1536826578.249 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.249 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of 2 in k 1536826578.249 * [misc]backup-simplify: Simplify 2 into 2 1536826578.249 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826578.249 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.249 * [misc]backup-simplify: Simplify PI into PI 1536826578.249 * [misc]taylor: Taking taylor expansion of n in k 1536826578.249 * [misc]backup-simplify: Simplify n into n 1536826578.250 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826578.250 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826578.250 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826578.250 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.250 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826578.250 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826578.251 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826578.251 * [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)))) 1536826578.251 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of k in n 1536826578.251 * [misc]backup-simplify: Simplify k into k 1536826578.251 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826578.251 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826578.251 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826578.251 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.251 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.251 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.252 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.252 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.252 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.252 * [misc]taylor: Taking taylor expansion of k in n 1536826578.252 * [misc]backup-simplify: Simplify k into k 1536826578.252 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.252 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826578.252 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826578.252 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.252 * [misc]backup-simplify: Simplify 2 into 2 1536826578.252 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.252 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.252 * [misc]backup-simplify: Simplify PI into PI 1536826578.252 * [misc]taylor: Taking taylor expansion of n in n 1536826578.252 * [misc]backup-simplify: Simplify 0 into 0 1536826578.252 * [misc]backup-simplify: Simplify 1 into 1 1536826578.252 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.253 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.253 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.253 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.254 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826578.254 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826578.255 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.255 * [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))) 1536826578.256 * [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)))) 1536826578.256 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826578.256 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826578.256 * [misc]taylor: Taking taylor expansion of k in n 1536826578.256 * [misc]backup-simplify: Simplify k into k 1536826578.256 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826578.256 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826578.256 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826578.256 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826578.256 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826578.256 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.257 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.257 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.257 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of k in n 1536826578.257 * [misc]backup-simplify: Simplify k into k 1536826578.257 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.257 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.257 * [misc]backup-simplify: Simplify 2 into 2 1536826578.257 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.257 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.257 * [misc]backup-simplify: Simplify PI into PI 1536826578.257 * [misc]taylor: Taking taylor expansion of n in n 1536826578.257 * [misc]backup-simplify: Simplify 0 into 0 1536826578.257 * [misc]backup-simplify: Simplify 1 into 1 1536826578.257 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.258 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.258 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.258 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.258 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826578.259 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826578.259 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.260 * [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))) 1536826578.261 * [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)))) 1536826578.262 * [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)) 1536826578.262 * [misc]taylor: Taking taylor expansion of (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (sqrt k)) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.262 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of k in k 1536826578.262 * [misc]backup-simplify: Simplify 0 into 0 1536826578.262 * [misc]backup-simplify: Simplify 1 into 1 1536826578.262 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.262 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826578.262 * [misc]taylor: Taking taylor expansion of 2 in k 1536826578.263 * [misc]backup-simplify: Simplify 2 into 2 1536826578.263 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.263 * [misc]backup-simplify: Simplify PI into PI 1536826578.263 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.263 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826578.264 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826578.264 * [misc]taylor: Taking taylor expansion of n in k 1536826578.264 * [misc]backup-simplify: Simplify n into n 1536826578.264 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826578.264 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.264 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826578.264 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826578.264 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826578.265 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536826578.266 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536826578.267 * [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)))) 1536826578.267 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826578.267 * [misc]taylor: Taking taylor expansion of k in k 1536826578.267 * [misc]backup-simplify: Simplify 0 into 0 1536826578.267 * [misc]backup-simplify: Simplify 1 into 1 1536826578.267 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.268 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826578.268 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) 0) into 0 1536826578.268 * [misc]backup-simplify: Simplify 0 into 0 1536826578.270 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826578.270 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826578.274 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826578.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826578.274 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826578.274 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.275 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.275 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.276 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826578.278 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826578.279 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536826578.279 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.279 * [misc]backup-simplify: Simplify 0 into 0 1536826578.279 * [misc]backup-simplify: Simplify 0 into 0 1536826578.280 * [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)))))) 1536826578.281 * [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)))))) 1536826578.283 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.284 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.288 * [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 1536826578.288 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.288 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826578.288 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.288 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.289 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.289 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536826578.291 * [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 1536826578.291 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt k))) into 0 1536826578.292 * [misc]backup-simplify: Simplify (+ (* (sqrt k) 0) (+ (* 0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536826578.292 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.292 * [misc]backup-simplify: Simplify 0 into 0 1536826578.292 * [misc]backup-simplify: Simplify 0 into 0 1536826578.292 * [misc]backup-simplify: Simplify 0 into 0 1536826578.293 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826578.294 * [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)))))) 1536826578.294 * [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)))))) 1536826578.295 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.296 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.302 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 PI) 1)))) 6) into 0 1536826578.302 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.302 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826578.303 * [misc]backup-simplify: Simplify (- 0) into 0 1536826578.303 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.303 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826578.304 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536826578.306 * [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 1536826578.306 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt k))) into 0 1536826578.307 * [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 1536826578.307 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.307 * [misc]backup-simplify: Simplify 0 into 0 1536826578.307 * [misc]backup-simplify: Simplify 0 into 0 1536826578.307 * [misc]backup-simplify: Simplify 0 into 0 1536826578.307 * [misc]backup-simplify: Simplify 0 into 0 1536826578.308 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826578.309 * [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)))))) 1536826578.309 * [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)))))) 1536826578.311 * [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)))))))) 1536826578.312 * [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))) 1536826578.312 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (n k) around 0 1536826578.312 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.312 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of k in k 1536826578.312 * [misc]backup-simplify: Simplify 0 into 0 1536826578.312 * [misc]backup-simplify: Simplify 1 into 1 1536826578.312 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.312 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.312 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.312 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of -2 in k 1536826578.312 * [misc]backup-simplify: Simplify -2 into -2 1536826578.312 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826578.312 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.312 * [misc]backup-simplify: Simplify PI into PI 1536826578.312 * [misc]taylor: Taking taylor expansion of n in k 1536826578.312 * [misc]backup-simplify: Simplify n into n 1536826578.312 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826578.313 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826578.313 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826578.313 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.313 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.313 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826578.313 * [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))) 1536826578.313 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826578.313 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826578.313 * [misc]taylor: Taking taylor expansion of -1 in k 1536826578.313 * [misc]backup-simplify: Simplify -1 into -1 1536826578.313 * [misc]taylor: Taking taylor expansion of k in k 1536826578.313 * [misc]backup-simplify: Simplify 0 into 0 1536826578.313 * [misc]backup-simplify: Simplify 1 into 1 1536826578.313 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826578.313 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.314 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826578.314 * [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)))) 1536826578.314 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.314 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of k in n 1536826578.314 * [misc]backup-simplify: Simplify k into k 1536826578.314 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.314 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.314 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.314 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.314 * [misc]backup-simplify: Simplify -2 into -2 1536826578.314 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.314 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.315 * [misc]backup-simplify: Simplify PI into PI 1536826578.315 * [misc]taylor: Taking taylor expansion of n in n 1536826578.315 * [misc]backup-simplify: Simplify 0 into 0 1536826578.315 * [misc]backup-simplify: Simplify 1 into 1 1536826578.315 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.315 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.315 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.315 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.315 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826578.316 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.316 * [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))) 1536826578.317 * [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)))) 1536826578.317 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826578.317 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826578.317 * [misc]taylor: Taking taylor expansion of -1 in n 1536826578.317 * [misc]backup-simplify: Simplify -1 into -1 1536826578.317 * [misc]taylor: Taking taylor expansion of k in n 1536826578.317 * [misc]backup-simplify: Simplify k into k 1536826578.317 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826578.317 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826578.317 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826578.317 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826578.318 * [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))) 1536826578.318 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.318 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of k in n 1536826578.318 * [misc]backup-simplify: Simplify k into k 1536826578.318 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826578.318 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826578.318 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.318 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.318 * [misc]backup-simplify: Simplify -2 into -2 1536826578.318 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.318 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.318 * [misc]backup-simplify: Simplify PI into PI 1536826578.318 * [misc]taylor: Taking taylor expansion of n in n 1536826578.318 * [misc]backup-simplify: Simplify 0 into 0 1536826578.318 * [misc]backup-simplify: Simplify 1 into 1 1536826578.320 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.321 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.321 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.321 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826578.321 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826578.322 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.322 * [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))) 1536826578.323 * [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)))) 1536826578.323 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826578.323 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826578.323 * [misc]taylor: Taking taylor expansion of -1 in n 1536826578.323 * [misc]backup-simplify: Simplify -1 into -1 1536826578.323 * [misc]taylor: Taking taylor expansion of k in n 1536826578.323 * [misc]backup-simplify: Simplify k into k 1536826578.323 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826578.323 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826578.323 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826578.323 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826578.323 * [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))) 1536826578.324 * [misc]taylor: Taking taylor expansion of (/ (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (sqrt (/ -1 k))) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.324 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of k in k 1536826578.324 * [misc]backup-simplify: Simplify 0 into 0 1536826578.324 * [misc]backup-simplify: Simplify 1 into 1 1536826578.324 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826578.324 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826578.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826578.324 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536826578.324 * [misc]taylor: Taking taylor expansion of -2 in k 1536826578.324 * [misc]backup-simplify: Simplify -2 into -2 1536826578.324 * [misc]taylor: Taking taylor expansion of PI in k 1536826578.324 * [misc]backup-simplify: Simplify PI into PI 1536826578.324 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.325 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826578.325 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826578.325 * [misc]taylor: Taking taylor expansion of n in k 1536826578.325 * [misc]backup-simplify: Simplify n into n 1536826578.325 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826578.325 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826578.325 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826578.325 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826578.325 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536826578.326 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536826578.326 * [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)))) 1536826578.326 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826578.326 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826578.326 * [misc]taylor: Taking taylor expansion of -1 in k 1536826578.326 * [misc]backup-simplify: Simplify -1 into -1 1536826578.326 * [misc]taylor: Taking taylor expansion of k in k 1536826578.326 * [misc]backup-simplify: Simplify 0 into 0 1536826578.326 * [misc]backup-simplify: Simplify 1 into 1 1536826578.326 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826578.327 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826578.327 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826578.328 * [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))))) 1536826578.328 * [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))))) 1536826578.330 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826578.330 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826578.334 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826578.334 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826578.334 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826578.334 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.335 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.336 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536826578.338 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826578.339 * [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 1536826578.339 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.339 * [misc]backup-simplify: Simplify 0 into 0 1536826578.339 * [misc]backup-simplify: Simplify 0 into 0 1536826578.339 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826578.341 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826578.342 * [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)))))) 1536826578.343 * [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)))))) 1536826578.345 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.346 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.352 * [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 1536826578.353 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.353 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826578.353 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826578.354 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826578.355 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536826578.358 * [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 1536826578.358 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826578.359 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ -1 k)))) into 0 1536826578.360 * [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 1536826578.360 * [misc]taylor: Taking taylor expansion of 0 in k 1536826578.360 * [misc]backup-simplify: Simplify 0 into 0 1536826578.360 * [misc]backup-simplify: Simplify 0 into 0 1536826578.360 * [misc]backup-simplify: Simplify 0 into 0 1536826578.361 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.362 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826578.364 * [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)))))) 1536826578.365 * [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)))))) 1536826578.369 * [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))))))))))) 1536826578.369 * * * * [misc]progress: [ 3 / 3 ] generating series at (2 1 1) 1536826578.369 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536826578.369 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536826578.369 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826578.369 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.369 * [misc]backup-simplify: Simplify 2 into 2 1536826578.369 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826578.370 * [misc]taylor: Taking taylor expansion of n in n 1536826578.370 * [misc]backup-simplify: Simplify 0 into 0 1536826578.370 * [misc]backup-simplify: Simplify 1 into 1 1536826578.370 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.370 * [misc]backup-simplify: Simplify PI into PI 1536826578.370 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826578.370 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.370 * [misc]backup-simplify: Simplify 2 into 2 1536826578.370 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826578.370 * [misc]taylor: Taking taylor expansion of n in n 1536826578.370 * [misc]backup-simplify: Simplify 0 into 0 1536826578.370 * [misc]backup-simplify: Simplify 1 into 1 1536826578.370 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.370 * [misc]backup-simplify: Simplify PI into PI 1536826578.370 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826578.371 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826578.371 * [misc]backup-simplify: Simplify 0 into 0 1536826578.371 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826578.372 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826578.372 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.374 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826578.375 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826578.375 * [misc]backup-simplify: Simplify 0 into 0 1536826578.377 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.378 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826578.378 * [misc]backup-simplify: Simplify 0 into 0 1536826578.381 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826578.383 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536826578.383 * [misc]backup-simplify: Simplify 0 into 0 1536826578.386 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826578.389 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536826578.389 * [misc]backup-simplify: Simplify 0 into 0 1536826578.393 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826578.397 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536826578.397 * [misc]backup-simplify: Simplify 0 into 0 1536826578.401 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536826578.406 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536826578.406 * [misc]backup-simplify: Simplify 0 into 0 1536826578.406 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536826578.406 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536826578.406 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536826578.406 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826578.406 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.406 * [misc]backup-simplify: Simplify 2 into 2 1536826578.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.407 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.407 * [misc]backup-simplify: Simplify PI into PI 1536826578.407 * [misc]taylor: Taking taylor expansion of n in n 1536826578.407 * [misc]backup-simplify: Simplify 0 into 0 1536826578.407 * [misc]backup-simplify: Simplify 1 into 1 1536826578.407 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.407 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826578.407 * [misc]taylor: Taking taylor expansion of 2 in n 1536826578.407 * [misc]backup-simplify: Simplify 2 into 2 1536826578.407 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.407 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.407 * [misc]backup-simplify: Simplify PI into PI 1536826578.407 * [misc]taylor: Taking taylor expansion of n in n 1536826578.407 * [misc]backup-simplify: Simplify 0 into 0 1536826578.407 * [misc]backup-simplify: Simplify 1 into 1 1536826578.408 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.408 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.408 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826578.409 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826578.410 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826578.410 * [misc]backup-simplify: Simplify 0 into 0 1536826578.412 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.413 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.413 * [misc]backup-simplify: Simplify 0 into 0 1536826578.415 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.416 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.416 * [misc]backup-simplify: Simplify 0 into 0 1536826578.419 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.421 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826578.421 * [misc]backup-simplify: Simplify 0 into 0 1536826578.424 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.426 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826578.427 * [misc]backup-simplify: Simplify 0 into 0 1536826578.429 * [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 1536826578.433 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826578.433 * [misc]backup-simplify: Simplify 0 into 0 1536826578.434 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536826578.434 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536826578.434 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536826578.434 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.434 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.434 * [misc]backup-simplify: Simplify -2 into -2 1536826578.434 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.434 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.434 * [misc]backup-simplify: Simplify PI into PI 1536826578.434 * [misc]taylor: Taking taylor expansion of n in n 1536826578.434 * [misc]backup-simplify: Simplify 0 into 0 1536826578.434 * [misc]backup-simplify: Simplify 1 into 1 1536826578.435 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.435 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826578.435 * [misc]taylor: Taking taylor expansion of -2 in n 1536826578.435 * [misc]backup-simplify: Simplify -2 into -2 1536826578.435 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826578.435 * [misc]taylor: Taking taylor expansion of PI in n 1536826578.435 * [misc]backup-simplify: Simplify PI into PI 1536826578.435 * [misc]taylor: Taking taylor expansion of n in n 1536826578.435 * [misc]backup-simplify: Simplify 0 into 0 1536826578.435 * [misc]backup-simplify: Simplify 1 into 1 1536826578.435 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826578.436 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.436 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826578.437 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826578.438 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826578.438 * [misc]backup-simplify: Simplify 0 into 0 1536826578.439 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.441 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826578.441 * [misc]backup-simplify: Simplify 0 into 0 1536826578.442 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.445 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826578.445 * [misc]backup-simplify: Simplify 0 into 0 1536826578.447 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.449 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826578.449 * [misc]backup-simplify: Simplify 0 into 0 1536826578.451 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826578.454 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826578.454 * [misc]backup-simplify: Simplify 0 into 0 1536826578.457 * [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 1536826578.461 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826578.461 * [misc]backup-simplify: Simplify 0 into 0 1536826578.461 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536826578.462 * * * [misc]progress: simplifying candidates 1536826578.462 * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # 1536826578.462 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536826578.463 * * [misc]simplify: iters left: 6 (11 enodes) 1536826578.468 * * [misc]simplify: iters left: 5 (21 enodes) 1536826578.482 * * [misc]simplify: iters left: 4 (47 enodes) 1536826578.509 * * [misc]simplify: iters left: 3 (109 enodes) 1536826578.559 * * [misc]simplify: iters left: 2 (300 enodes) 1536826578.845 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536826578.845 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))) (sqrt k))) 1536826578.845 * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # 1536826578.845 * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # 1536826578.845 * [enter]simplify: Simplifying (* PI (* n 2)) 1536826578.846 * * [misc]simplify: iters left: 4 (5 enodes) 1536826578.847 * * [misc]simplify: iters left: 3 (9 enodes) 1536826578.850 * * [misc]simplify: iters left: 2 (15 enodes) 1536826578.853 * * [misc]simplify: iters left: 1 (17 enodes) 1536826578.856 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536826578.856 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))) (sqrt k))) 1536826578.856 * * * * [misc]progress: [ 4 / 77 ] simplifiying candidate # 1536826578.856 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826578.856 * * [misc]simplify: iters left: 5 (8 enodes) 1536826578.858 * * [misc]simplify: iters left: 4 (12 enodes) 1536826578.861 * * [misc]simplify: iters left: 3 (18 enodes) 1536826578.864 * * [misc]simplify: iters left: 2 (20 enodes) 1536826578.867 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826578.867 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))) (sqrt k))) 1536826578.867 * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # 1536826578.868 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536826578.868 * * [misc]simplify: iters left: 5 (6 enodes) 1536826578.869 * * [misc]simplify: iters left: 4 (8 enodes) 1536826578.871 * * [misc]simplify: iters left: 3 (11 enodes) 1536826578.872 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536826578.872 * [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))) 1536826578.872 * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # 1536826578.873 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536826578.873 * * [misc]simplify: iters left: 5 (6 enodes) 1536826578.874 * * [misc]simplify: iters left: 4 (8 enodes) 1536826578.876 * * [misc]simplify: iters left: 3 (11 enodes) 1536826578.878 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536826578.878 * [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))) 1536826578.878 * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # 1536826578.878 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536826578.878 * * [misc]simplify: iters left: 4 (5 enodes) 1536826578.879 * * [misc]simplify: iters left: 3 (7 enodes) 1536826578.881 * * [misc]simplify: iters left: 2 (10 enodes) 1536826578.882 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536826578.882 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))) (sqrt k))) 1536826578.882 * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # 1536826578.883 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826578.883 * * [misc]simplify: iters left: 5 (9 enodes) 1536826578.885 * * [misc]simplify: iters left: 4 (15 enodes) 1536826578.888 * * [misc]simplify: iters left: 3 (21 enodes) 1536826578.892 * * [misc]simplify: iters left: 2 (22 enodes) 1536826578.895 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826578.895 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1536826578.895 * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # 1536826578.895 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826578.896 * * [misc]simplify: iters left: 5 (9 enodes) 1536826578.898 * * [misc]simplify: iters left: 4 (15 enodes) 1536826578.901 * * [misc]simplify: iters left: 3 (21 enodes) 1536826578.905 * * [misc]simplify: iters left: 2 (22 enodes) 1536826578.909 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826578.909 * [misc]simplify: Simplified (2 1 2) to (λ (k n) (/ (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))) (sqrt k))) 1536826578.909 * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # 1536826578.909 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536826578.909 * * [misc]simplify: iters left: 5 (7 enodes) 1536826578.911 * * [misc]simplify: iters left: 4 (9 enodes) 1536826578.912 * * [misc]simplify: iters left: 3 (12 enodes) 1536826578.914 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536826578.914 * [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))) 1536826578.914 * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # 1536826578.914 * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # 1536826578.915 * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # 1536826578.915 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1536826578.916 * * [misc]simplify: iters left: 6 (14 enodes) 1536826578.925 * * [misc]simplify: iters left: 5 (26 enodes) 1536826578.939 * * [misc]simplify: iters left: 4 (53 enodes) 1536826578.969 * * [misc]simplify: iters left: 3 (137 enodes) 1536826579.046 * * [misc]simplify: iters left: 2 (487 enodes) 1536826579.851 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1536826579.851 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1536826579.851 * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # 1536826579.851 * [enter]simplify: Simplifying (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) (log (sqrt k))) 1536826579.853 * * [misc]simplify: iters left: 6 (14 enodes) 1536826579.859 * * [misc]simplify: iters left: 5 (26 enodes) 1536826579.872 * * [misc]simplify: iters left: 4 (53 enodes) 1536826579.906 * * [misc]simplify: iters left: 3 (137 enodes) 1536826579.999 * * [misc]simplify: iters left: 2 (487 enodes) 1536826580.959 * [exit]simplify: Simplified to (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))) 1536826580.959 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) (log (sqrt k))))) 1536826580.959 * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # 1536826580.959 * [enter]simplify: Simplifying (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (log (sqrt k))) 1536826580.961 * * [misc]simplify: iters left: 6 (14 enodes) 1536826580.967 * * [misc]simplify: iters left: 5 (24 enodes) 1536826580.979 * * [misc]simplify: iters left: 4 (42 enodes) 1536826580.996 * * [misc]simplify: iters left: 3 (71 enodes) 1536826581.035 * * [misc]simplify: iters left: 2 (208 enodes) 1536826581.419 * [exit]simplify: Simplified to (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))) 1536826581.419 * [misc]simplify: Simplified (2 1) to (λ (k n) (exp (- (* (log (* (* 2 n) PI)) (- 1/2 (/ k 2))) (log (sqrt k))))) 1536826581.419 * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # 1536826581.419 * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # 1536826581.419 * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # 1536826581.419 * [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))) 1536826581.420 * * [misc]simplify: iters left: 6 (16 enodes) 1536826581.426 * * [misc]simplify: iters left: 5 (31 enodes) 1536826581.434 * * [misc]simplify: iters left: 4 (67 enodes) 1536826581.465 * * [misc]simplify: iters left: 3 (124 enodes) 1536826581.521 * * [misc]simplify: iters left: 2 (195 enodes) 1536826581.589 * * [misc]simplify: iters left: 1 (309 enodes) 1536826581.840 * [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)))) 1536826581.840 * [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)))))) 1536826581.840 * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # 1536826581.841 * * * * [misc]progress: [ 26 / 77 ] simplifiying candidate # 1536826581.841 * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # 1536826581.841 * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # 1536826581.841 * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # 1536826581.841 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826581.842 * * [misc]simplify: iters left: 6 (12 enodes) 1536826581.848 * * [misc]simplify: iters left: 5 (19 enodes) 1536826581.855 * * [misc]simplify: iters left: 4 (25 enodes) 1536826581.863 * * [misc]simplify: iters left: 3 (26 enodes) 1536826581.872 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826581.872 * [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))))) 1536826581.872 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1536826581.873 * * [misc]simplify: iters left: 6 (12 enodes) 1536826581.878 * * [misc]simplify: iters left: 5 (18 enodes) 1536826581.885 * * [misc]simplify: iters left: 4 (24 enodes) 1536826581.892 * * [misc]simplify: iters left: 3 (25 enodes) 1536826581.901 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1536826581.901 * [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))))) 1536826581.901 * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # 1536826581.901 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1536826581.902 * * [misc]simplify: iters left: 6 (11 enodes) 1536826581.906 * * [misc]simplify: iters left: 5 (16 enodes) 1536826581.913 * * [misc]simplify: iters left: 4 (22 enodes) 1536826581.920 * * [misc]simplify: iters left: 3 (24 enodes) 1536826581.928 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1536826581.928 * [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))))) 1536826581.928 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1536826581.929 * * [misc]simplify: iters left: 6 (12 enodes) 1536826581.934 * * [misc]simplify: iters left: 5 (18 enodes) 1536826581.941 * * [misc]simplify: iters left: 4 (24 enodes) 1536826581.948 * * [misc]simplify: iters left: 3 (25 enodes) 1536826581.954 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1536826581.954 * [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))))) 1536826581.954 * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # 1536826581.954 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1536826581.955 * * [misc]simplify: iters left: 6 (9 enodes) 1536826581.957 * * [misc]simplify: iters left: 5 (16 enodes) 1536826581.962 * * [misc]simplify: iters left: 4 (24 enodes) 1536826581.965 * * [misc]simplify: iters left: 3 (26 enodes) 1536826581.969 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1536826581.969 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1536826581.969 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1536826581.970 * * [misc]simplify: iters left: 6 (11 enodes) 1536826581.972 * * [misc]simplify: iters left: 5 (17 enodes) 1536826581.976 * * [misc]simplify: iters left: 4 (23 enodes) 1536826581.980 * * [misc]simplify: iters left: 3 (24 enodes) 1536826581.984 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1536826581.984 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1536826581.984 * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # 1536826581.984 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826581.985 * * [misc]simplify: iters left: 6 (12 enodes) 1536826581.987 * * [misc]simplify: iters left: 5 (19 enodes) 1536826581.991 * * [misc]simplify: iters left: 4 (25 enodes) 1536826581.995 * * [misc]simplify: iters left: 3 (26 enodes) 1536826581.999 * [exit]simplify: Simplified to (/ (sqrt (* (* 2 n) PI)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826581.999 * [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))))) 1536826582.000 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (cbrt (sqrt k))) 1536826582.000 * * [misc]simplify: iters left: 6 (12 enodes) 1536826582.003 * * [misc]simplify: iters left: 5 (18 enodes) 1536826582.006 * * [misc]simplify: iters left: 4 (24 enodes) 1536826582.010 * * [misc]simplify: iters left: 3 (25 enodes) 1536826582.015 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (cbrt (sqrt k))) 1536826582.015 * [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))))) 1536826582.015 * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # 1536826582.015 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) (sqrt (sqrt k))) 1536826582.016 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.018 * * [misc]simplify: iters left: 5 (16 enodes) 1536826582.021 * * [misc]simplify: iters left: 4 (22 enodes) 1536826582.025 * * [misc]simplify: iters left: 3 (24 enodes) 1536826582.031 * [exit]simplify: Simplified to (/ (sqrt (* (* PI 2) n)) (sqrt (sqrt k))) 1536826582.031 * [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))))) 1536826582.031 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt (sqrt k))) 1536826582.032 * * [misc]simplify: iters left: 6 (12 enodes) 1536826582.035 * * [misc]simplify: iters left: 5 (18 enodes) 1536826582.041 * * [misc]simplify: iters left: 4 (24 enodes) 1536826582.049 * * [misc]simplify: iters left: 3 (25 enodes) 1536826582.057 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt (sqrt k))) 1536826582.057 * [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))))) 1536826582.057 * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # 1536826582.058 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) 1/2) 1) 1536826582.058 * * [misc]simplify: iters left: 6 (9 enodes) 1536826582.063 * * [misc]simplify: iters left: 5 (16 enodes) 1536826582.070 * * [misc]simplify: iters left: 4 (24 enodes) 1536826582.077 * * [misc]simplify: iters left: 3 (26 enodes) 1536826582.084 * [exit]simplify: Simplified to (sqrt (* (* PI 2) n)) 1536826582.084 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)))) 1536826582.084 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- (/ k 2))) (sqrt k)) 1536826582.085 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.090 * * [misc]simplify: iters left: 5 (17 enodes) 1536826582.097 * * [misc]simplify: iters left: 4 (23 enodes) 1536826582.104 * * [misc]simplify: iters left: 3 (24 enodes) 1536826582.112 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)) 1536826582.112 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (sqrt (* (* PI 2) n)) (/ (pow (* (* 2 n) PI) (- (/ k 2))) (sqrt k)))) 1536826582.112 * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # 1536826582.113 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826582.114 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.117 * * [misc]simplify: iters left: 5 (15 enodes) 1536826582.120 * * [misc]simplify: iters left: 4 (18 enodes) 1536826582.123 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826582.123 * [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))))) 1536826582.123 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536826582.124 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.126 * * [misc]simplify: iters left: 5 (14 enodes) 1536826582.128 * * [misc]simplify: iters left: 4 (17 enodes) 1536826582.131 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536826582.131 * [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))))) 1536826582.131 * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # 1536826582.131 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.132 * * [misc]simplify: iters left: 6 (10 enodes) 1536826582.134 * * [misc]simplify: iters left: 5 (12 enodes) 1536826582.136 * * [misc]simplify: iters left: 4 (15 enodes) 1536826582.141 * [exit]simplify: Simplified to (/ (pow PI (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.141 * [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))))) 1536826582.141 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.142 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.146 * * [misc]simplify: iters left: 5 (14 enodes) 1536826582.151 * * [misc]simplify: iters left: 4 (17 enodes) 1536826582.157 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.157 * [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))))) 1536826582.157 * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # 1536826582.157 * [enter]simplify: Simplifying (/ (pow PI (- 1/2 (/ k 2))) 1) 1536826582.158 * * [misc]simplify: iters left: 6 (9 enodes) 1536826582.161 * * [misc]simplify: iters left: 5 (13 enodes) 1536826582.167 * * [misc]simplify: iters left: 4 (18 enodes) 1536826582.172 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536826582.172 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1536826582.172 * [enter]simplify: Simplifying (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1536826582.173 * * [misc]simplify: iters left: 6 (10 enodes) 1536826582.177 * * [misc]simplify: iters left: 5 (13 enodes) 1536826582.182 * * [misc]simplify: iters left: 4 (16 enodes) 1536826582.185 * [exit]simplify: Simplified to (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)) 1536826582.185 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (pow PI (- 1/2 (/ k 2))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt k)))) 1536826582.185 * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # 1536826582.185 * [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)))) 1536826582.186 * * [misc]simplify: iters left: 6 (16 enodes) 1536826582.190 * * [misc]simplify: iters left: 5 (28 enodes) 1536826582.197 * * [misc]simplify: iters left: 4 (46 enodes) 1536826582.204 * * [misc]simplify: iters left: 3 (50 enodes) 1536826582.212 * * [misc]simplify: iters left: 2 (53 enodes) 1536826582.230 * [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)))) 1536826582.230 * [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))))) 1536826582.230 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536826582.231 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.234 * * [misc]simplify: iters left: 5 (20 enodes) 1536826582.240 * * [misc]simplify: iters left: 4 (29 enodes) 1536826582.244 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.249 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536826582.250 * [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))))) 1536826582.250 * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # 1536826582.250 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (sqrt k))) 1536826582.251 * * [misc]simplify: iters left: 6 (15 enodes) 1536826582.254 * * [misc]simplify: iters left: 5 (23 enodes) 1536826582.259 * * [misc]simplify: iters left: 4 (34 enodes) 1536826582.264 * * [misc]simplify: iters left: 3 (37 enodes) 1536826582.276 * [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)))))) 1536826582.276 * [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))))) 1536826582.276 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.277 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.283 * * [misc]simplify: iters left: 5 (20 enodes) 1536826582.291 * * [misc]simplify: iters left: 4 (29 enodes) 1536826582.298 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.303 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.303 * [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))))) 1536826582.303 * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # 1536826582.303 * [enter]simplify: Simplifying (/ (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1) 1536826582.304 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.307 * * [misc]simplify: iters left: 5 (24 enodes) 1536826582.313 * * [misc]simplify: iters left: 4 (39 enodes) 1536826582.322 * * [misc]simplify: iters left: 3 (54 enodes) 1536826582.337 * * [misc]simplify: iters left: 2 (80 enodes) 1536826582.354 * [exit]simplify: Simplified to (* (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI 2) n) (- 1/2 (/ k 2))))) 1536826582.354 * [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)))) 1536826582.354 * [enter]simplify: Simplifying (/ (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1536826582.355 * * [misc]simplify: iters left: 6 (13 enodes) 1536826582.357 * * [misc]simplify: iters left: 5 (19 enodes) 1536826582.361 * * [misc]simplify: iters left: 4 (28 enodes) 1536826582.366 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.371 * [exit]simplify: Simplified to (/ (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1536826582.371 * [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)))) 1536826582.371 * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # 1536826582.371 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826582.372 * * [misc]simplify: iters left: 6 (15 enodes) 1536826582.375 * * [misc]simplify: iters left: 5 (23 enodes) 1536826582.380 * * [misc]simplify: iters left: 4 (32 enodes) 1536826582.385 * * [misc]simplify: iters left: 3 (34 enodes) 1536826582.391 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826582.391 * [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))))) 1536826582.391 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536826582.392 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.395 * * [misc]simplify: iters left: 5 (20 enodes) 1536826582.401 * * [misc]simplify: iters left: 4 (29 enodes) 1536826582.407 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.417 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (sqrt k))) 1536826582.417 * [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))))) 1536826582.417 * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # 1536826582.418 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.419 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.425 * * [misc]simplify: iters left: 5 (20 enodes) 1536826582.433 * * [misc]simplify: iters left: 4 (29 enodes) 1536826582.442 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.450 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.450 * [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))))) 1536826582.450 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.451 * * [misc]simplify: iters left: 6 (14 enodes) 1536826582.453 * * [misc]simplify: iters left: 5 (20 enodes) 1536826582.458 * * [misc]simplify: iters left: 4 (29 enodes) 1536826582.462 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.468 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt (sqrt k))) 1536826582.468 * [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))))) 1536826582.468 * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # 1536826582.468 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1) 1536826582.468 * * [misc]simplify: iters left: 6 (13 enodes) 1536826582.471 * * [misc]simplify: iters left: 5 (21 enodes) 1536826582.477 * * [misc]simplify: iters left: 4 (32 enodes) 1536826582.486 * * [misc]simplify: iters left: 3 (33 enodes) 1536826582.495 * [exit]simplify: Simplified to (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) 1536826582.496 * [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)))) 1536826582.496 * [enter]simplify: Simplifying (/ (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (sqrt k)) 1536826582.497 * * [misc]simplify: iters left: 6 (13 enodes) 1536826582.505 * * [misc]simplify: iters left: 5 (19 enodes) 1536826582.513 * * [misc]simplify: iters left: 4 (28 enodes) 1536826582.521 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.531 * [exit]simplify: Simplified to (/ (sqrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (sqrt k)) 1536826582.532 * [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)))) 1536826582.532 * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # 1536826582.532 * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) 1536826582.533 * * [misc]simplify: iters left: 6 (6 enodes) 1536826582.535 * * [misc]simplify: iters left: 5 (10 enodes) 1536826582.539 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) 1536826582.539 * [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))))) 1536826582.539 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536826582.540 * * [misc]simplify: iters left: 6 (13 enodes) 1536826582.546 * * [misc]simplify: iters left: 5 (19 enodes) 1536826582.553 * * [misc]simplify: iters left: 4 (28 enodes) 1536826582.562 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.572 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (cbrt (sqrt k))) 1536826582.572 * [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))))) 1536826582.572 * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # 1536826582.572 * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt k))) 1536826582.573 * * [misc]simplify: iters left: 4 (5 enodes) 1536826582.574 * * [misc]simplify: iters left: 3 (7 enodes) 1536826582.576 * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt k))) 1536826582.577 * [misc]simplify: Simplified (2 1) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1536826582.577 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.578 * * [misc]simplify: iters left: 6 (13 enodes) 1536826582.583 * * [misc]simplify: iters left: 5 (19 enodes) 1536826582.591 * * [misc]simplify: iters left: 4 (28 enodes) 1536826582.600 * * [misc]simplify: iters left: 3 (30 enodes) 1536826582.610 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))) 1536826582.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt (sqrt k))) (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt (sqrt k))))) 1536826582.610 * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # 1536826582.610 * [enter]simplify: Simplifying (/ 1 1) 1536826582.610 * * [misc]simplify: iters left: 2 (2 enodes) 1536826582.611 * * [misc]simplify: iters left: 1 (4 enodes) 1536826582.612 * [exit]simplify: Simplified to 1 1536826582.612 * [misc]simplify: Simplified (2 1) to (λ (k n) (* 1 (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)))) 1536826582.612 * [enter]simplify: Simplifying (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt k)) 1536826582.613 * * [misc]simplify: iters left: 6 (12 enodes) 1536826582.617 * * [misc]simplify: iters left: 5 (18 enodes) 1536826582.621 * * [misc]simplify: iters left: 4 (27 enodes) 1536826582.627 * * [misc]simplify: iters left: 3 (29 enodes) 1536826582.632 * [exit]simplify: Simplified to (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)) 1536826582.632 * [misc]simplify: Simplified (2 2) to (λ (k n) (* 1 (/ (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) (sqrt k)))) 1536826582.632 * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # 1536826582.632 * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # 1536826582.632 * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # 1536826582.632 * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # 1536826582.632 * [enter]simplify: Simplifying (cbrt (sqrt k)) 1536826582.632 * * [misc]simplify: iters left: 2 (3 enodes) 1536826582.633 * [exit]simplify: Simplified to (cbrt (sqrt k)) 1536826582.633 * [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)))) 1536826582.633 * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # 1536826582.633 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536826582.633 * * [misc]simplify: iters left: 2 (3 enodes) 1536826582.634 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826582.634 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k))) (sqrt (sqrt k)))) 1536826582.634 * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # 1536826582.634 * [enter]simplify: Simplifying (sqrt k) 1536826582.634 * * [misc]simplify: iters left: 1 (2 enodes) 1536826582.635 * [exit]simplify: Simplified to (sqrt k) 1536826582.635 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1) (sqrt k))) 1536826582.635 * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # 1536826582.635 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536826582.635 * * [misc]simplify: iters left: 5 (7 enodes) 1536826582.637 * * [misc]simplify: iters left: 4 (12 enodes) 1536826582.640 * * [misc]simplify: iters left: 3 (18 enodes) 1536826582.643 * * [misc]simplify: iters left: 2 (20 enodes) 1536826582.646 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536826582.646 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1536826582.646 * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # 1536826582.647 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536826582.647 * * [misc]simplify: iters left: 5 (7 enodes) 1536826582.649 * * [misc]simplify: iters left: 4 (12 enodes) 1536826582.651 * * [misc]simplify: iters left: 3 (18 enodes) 1536826582.654 * * [misc]simplify: iters left: 2 (20 enodes) 1536826582.660 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536826582.660 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))))) 1536826582.660 * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # 1536826582.660 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536826582.661 * * [misc]simplify: iters left: 5 (7 enodes) 1536826582.664 * * [misc]simplify: iters left: 4 (9 enodes) 1536826582.667 * * [misc]simplify: iters left: 3 (12 enodes) 1536826582.671 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536826582.671 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow PI (- 1/2 (/ k 2))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826582.671 * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # 1536826582.671 * [enter]simplify: Simplifying (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826582.672 * * [misc]simplify: iters left: 6 (12 enodes) 1536826582.677 * * [misc]simplify: iters left: 5 (18 enodes) 1536826582.685 * * [misc]simplify: iters left: 4 (27 enodes) 1536826582.693 * * [misc]simplify: iters left: 3 (29 enodes) 1536826582.703 * [exit]simplify: Simplified to (* (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))) (cbrt (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536826582.703 * [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))))))) 1536826582.703 * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # 1536826582.704 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826582.705 * * [misc]simplify: iters left: 6 (11 enodes) 1536826582.709 * * [misc]simplify: iters left: 5 (17 enodes) 1536826582.716 * * [misc]simplify: iters left: 4 (26 enodes) 1536826582.724 * * [misc]simplify: iters left: 3 (27 enodes) 1536826582.735 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536826582.735 * [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))))))) 1536826582.735 * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # 1536826582.735 * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # 1536826582.735 * [enter]simplify: Simplifying (pow (* PI (* n 2)) 1/2) 1536826582.736 * * [misc]simplify: iters left: 5 (7 enodes) 1536826582.739 * * [misc]simplify: iters left: 4 (12 enodes) 1536826582.744 * * [misc]simplify: iters left: 3 (18 enodes) 1536826582.751 * * [misc]simplify: iters left: 2 (20 enodes) 1536826582.757 * [exit]simplify: Simplified to (sqrt (* (* 2 n) PI)) 1536826582.757 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (sqrt (* (* 2 n) PI)) (* (sqrt k) (pow (* PI (* n 2)) (/ k 2))))) 1536826582.757 * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # 1536826582.757 * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # 1536826582.757 * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # 1536826582.757 * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # 1536826582.758 * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # 1536826582.758 * [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))))) 1536826582.762 * * [misc]simplify: iters left: 6 (37 enodes) 1536826582.788 * * [misc]simplify: iters left: 5 (105 enodes) 1536826582.864 * * [misc]simplify: iters left: 4 (339 enodes) 1536826583.425 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1536826583.425 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) (sqrt k))) 1536826583.425 * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # 1536826583.426 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536826583.427 * * [misc]simplify: iters left: 6 (15 enodes) 1536826583.438 * * [misc]simplify: iters left: 5 (33 enodes) 1536826583.452 * * [misc]simplify: iters left: 4 (64 enodes) 1536826583.474 * * [misc]simplify: iters left: 3 (171 enodes) 1536826583.626 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1536826583.626 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) (sqrt k))) 1536826583.626 * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # 1536826583.626 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536826583.627 * * [misc]simplify: iters left: 6 (15 enodes) 1536826583.633 * * [misc]simplify: iters left: 5 (30 enodes) 1536826583.642 * * [misc]simplify: iters left: 4 (65 enodes) 1536826583.669 * * [misc]simplify: iters left: 3 (200 enodes) 1536826583.948 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1536826583.948 * [misc]simplify: Simplified (2 1) to (λ (k n) (/ (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) (sqrt k))) 1536826583.948 * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # 1536826583.949 * [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)))))))))))))))))))))) 1536826583.949 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826583.949 * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # 1536826583.949 * [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)))))))) 1536826583.949 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826583.949 * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # 1536826583.949 * [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))))))))))) 1536826583.949 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826583.950 * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # 1536826583.950 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826583.950 * * [misc]simplify: iters left: 4 (5 enodes) 1536826583.953 * * [misc]simplify: iters left: 3 (9 enodes) 1536826583.957 * * [misc]simplify: iters left: 2 (15 enodes) 1536826583.962 * * [misc]simplify: iters left: 1 (17 enodes) 1536826583.971 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826583.971 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536826583.971 * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # 1536826583.971 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826583.972 * * [misc]simplify: iters left: 4 (5 enodes) 1536826583.974 * * [misc]simplify: iters left: 3 (9 enodes) 1536826583.979 * * [misc]simplify: iters left: 2 (15 enodes) 1536826583.984 * * [misc]simplify: iters left: 1 (17 enodes) 1536826583.989 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826583.989 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536826583.989 * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # 1536826583.989 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826583.990 * * [misc]simplify: iters left: 4 (5 enodes) 1536826583.992 * * [misc]simplify: iters left: 3 (9 enodes) 1536826583.996 * * [misc]simplify: iters left: 2 (15 enodes) 1536826584.001 * * [misc]simplify: iters left: 1 (17 enodes) 1536826584.007 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826584.007 * [misc]simplify: Simplified (2 1 1) to (λ (k n) (/ (pow (* (* PI n) 2) (- 1/2 (/ k 2))) (sqrt k))) 1536826584.007 * * * [misc]progress: adding candidates to table 1536826585.591 * * [misc]progress: iteration 2 / 4 1536826585.591 * * * [misc]progress: picking best candidate 1536826585.678 * * * * [misc]pick: Picked # 1536826585.679 * * * [misc]progress: localizing error 1536826585.692 * * * [misc]progress: generating rewritten candidates 1536826585.692 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2) 1536826585.727 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) 1536826585.768 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2 1) 1536826585.782 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1536826585.825 * * * [misc]progress: generating series expansions 1536826585.825 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) 1536826585.825 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536826585.826 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536826585.826 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.826 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.826 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.826 * [misc]taylor: Taking taylor expansion of k in k 1536826585.826 * [misc]backup-simplify: Simplify 0 into 0 1536826585.826 * [misc]backup-simplify: Simplify 1 into 1 1536826585.826 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.826 * [misc]backup-simplify: Simplify 2 into 2 1536826585.826 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826585.826 * [misc]taylor: Taking taylor expansion of n in k 1536826585.826 * [misc]backup-simplify: Simplify n into n 1536826585.826 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.826 * [misc]backup-simplify: Simplify PI into PI 1536826585.826 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826585.826 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826585.826 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826585.826 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826585.827 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.827 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.827 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826585.827 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826585.827 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.827 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.827 * [misc]taylor: Taking taylor expansion of k in n 1536826585.827 * [misc]backup-simplify: Simplify k into k 1536826585.827 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of 2 in n 1536826585.827 * [misc]backup-simplify: Simplify 2 into 2 1536826585.827 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826585.827 * [misc]taylor: Taking taylor expansion of n in n 1536826585.827 * [misc]backup-simplify: Simplify 0 into 0 1536826585.827 * [misc]backup-simplify: Simplify 1 into 1 1536826585.827 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.827 * [misc]backup-simplify: Simplify PI into PI 1536826585.828 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826585.828 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826585.828 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826585.829 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826585.829 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.829 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826585.829 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826585.829 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826585.830 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.830 * [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)))) 1536826585.831 * [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))))) 1536826585.831 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.831 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.831 * [misc]taylor: Taking taylor expansion of k in n 1536826585.831 * [misc]backup-simplify: Simplify k into k 1536826585.831 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of 2 in n 1536826585.831 * [misc]backup-simplify: Simplify 2 into 2 1536826585.831 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826585.831 * [misc]taylor: Taking taylor expansion of n in n 1536826585.831 * [misc]backup-simplify: Simplify 0 into 0 1536826585.831 * [misc]backup-simplify: Simplify 1 into 1 1536826585.831 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.831 * [misc]backup-simplify: Simplify PI into PI 1536826585.831 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826585.831 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826585.832 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826585.832 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826585.833 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.833 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826585.833 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826585.833 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826585.833 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.834 * [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)))) 1536826585.834 * [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))))) 1536826585.834 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536826585.834 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536826585.834 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826585.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.834 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826585.834 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.834 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.835 * [misc]taylor: Taking taylor expansion of k in k 1536826585.835 * [misc]backup-simplify: Simplify 0 into 0 1536826585.835 * [misc]backup-simplify: Simplify 1 into 1 1536826585.835 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536826585.835 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826585.835 * [misc]taylor: Taking taylor expansion of n in k 1536826585.835 * [misc]backup-simplify: Simplify n into n 1536826585.835 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826585.835 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826585.835 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826585.835 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.835 * [misc]backup-simplify: Simplify 2 into 2 1536826585.835 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.835 * [misc]backup-simplify: Simplify PI into PI 1536826585.835 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826585.835 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.835 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826585.836 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.836 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.836 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.836 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536826585.837 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826585.837 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826585.838 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826585.839 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826585.841 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826585.841 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536826585.841 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.841 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.842 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.842 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826585.843 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826585.843 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.843 * [misc]backup-simplify: Simplify 0 into 0 1536826585.843 * [misc]backup-simplify: Simplify 0 into 0 1536826585.844 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536826585.845 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826585.846 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826585.847 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.847 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826585.847 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826585.847 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826585.847 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536826585.849 * [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))))))) 1536826585.850 * [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))))))) 1536826585.851 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826585.852 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826585.855 * [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 1536826585.856 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536826585.856 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.856 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.856 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.857 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826585.859 * [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 1536826585.859 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.859 * [misc]backup-simplify: Simplify 0 into 0 1536826585.859 * [misc]backup-simplify: Simplify 0 into 0 1536826585.859 * [misc]backup-simplify: Simplify 0 into 0 1536826585.860 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536826585.860 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826585.864 * [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 1536826585.864 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.864 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826585.865 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.865 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.865 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826585.868 * [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))))) 1536826585.870 * [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))))) 1536826585.879 * [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))))) 1536826585.879 * [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)))) 1536826585.879 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536826585.879 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.879 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.879 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.879 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826585.879 * [misc]taylor: Taking taylor expansion of k in k 1536826585.879 * [misc]backup-simplify: Simplify 0 into 0 1536826585.880 * [misc]backup-simplify: Simplify 1 into 1 1536826585.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826585.880 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826585.880 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826585.880 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.880 * [misc]backup-simplify: Simplify 2 into 2 1536826585.880 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826585.880 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.880 * [misc]backup-simplify: Simplify PI into PI 1536826585.880 * [misc]taylor: Taking taylor expansion of n in k 1536826585.880 * [misc]backup-simplify: Simplify n into n 1536826585.880 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826585.880 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826585.880 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826585.880 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826585.880 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826585.880 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826585.881 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826585.881 * [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)))) 1536826585.881 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.881 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.881 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of k in n 1536826585.881 * [misc]backup-simplify: Simplify k into k 1536826585.881 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826585.881 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of 2 in n 1536826585.881 * [misc]backup-simplify: Simplify 2 into 2 1536826585.881 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826585.881 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.881 * [misc]backup-simplify: Simplify PI into PI 1536826585.881 * [misc]taylor: Taking taylor expansion of n in n 1536826585.881 * [misc]backup-simplify: Simplify 0 into 0 1536826585.881 * [misc]backup-simplify: Simplify 1 into 1 1536826585.881 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826585.882 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826585.882 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.882 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826585.882 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826585.882 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826585.883 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826585.883 * [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))) 1536826585.884 * [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)))) 1536826585.884 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.884 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.884 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.884 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of k in n 1536826585.884 * [misc]backup-simplify: Simplify k into k 1536826585.884 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826585.884 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of 2 in n 1536826585.884 * [misc]backup-simplify: Simplify 2 into 2 1536826585.884 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826585.884 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.884 * [misc]backup-simplify: Simplify PI into PI 1536826585.884 * [misc]taylor: Taking taylor expansion of n in n 1536826585.884 * [misc]backup-simplify: Simplify 0 into 0 1536826585.884 * [misc]backup-simplify: Simplify 1 into 1 1536826585.884 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826585.884 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826585.885 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.885 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826585.885 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826585.885 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826585.885 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826585.886 * [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))) 1536826585.886 * [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)))) 1536826585.886 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.887 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.887 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.887 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of k in k 1536826585.887 * [misc]backup-simplify: Simplify 0 into 0 1536826585.887 * [misc]backup-simplify: Simplify 1 into 1 1536826585.887 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826585.887 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826585.887 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.887 * [misc]backup-simplify: Simplify 2 into 2 1536826585.887 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.887 * [misc]backup-simplify: Simplify PI into PI 1536826585.887 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826585.888 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.888 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826585.888 * [misc]taylor: Taking taylor expansion of n in k 1536826585.888 * [misc]backup-simplify: Simplify n into n 1536826585.888 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826585.888 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826585.888 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826585.888 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826585.888 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826585.888 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536826585.889 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536826585.889 * [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)))) 1536826585.890 * [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)))) 1536826585.891 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826585.891 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826585.893 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826585.893 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826585.893 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826585.893 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.893 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826585.894 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826585.896 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826585.896 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.896 * [misc]backup-simplify: Simplify 0 into 0 1536826585.896 * [misc]backup-simplify: Simplify 0 into 0 1536826585.896 * [misc]backup-simplify: Simplify 0 into 0 1536826585.897 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826585.898 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826585.901 * [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 1536826585.901 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826585.901 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826585.902 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.902 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.902 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826585.903 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536826585.904 * [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 1536826585.904 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.904 * [misc]backup-simplify: Simplify 0 into 0 1536826585.904 * [misc]backup-simplify: Simplify 0 into 0 1536826585.904 * [misc]backup-simplify: Simplify 0 into 0 1536826585.904 * [misc]backup-simplify: Simplify 0 into 0 1536826585.906 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826585.907 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826585.912 * [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 1536826585.913 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826585.913 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826585.913 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.913 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.914 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826585.914 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536826585.918 * [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 1536826585.918 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.918 * [misc]backup-simplify: Simplify 0 into 0 1536826585.918 * [misc]backup-simplify: Simplify 0 into 0 1536826585.919 * [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))))) 1536826585.919 * [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)) 1536826585.919 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536826585.919 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.919 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.919 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826585.919 * [misc]taylor: Taking taylor expansion of k in k 1536826585.919 * [misc]backup-simplify: Simplify 0 into 0 1536826585.919 * [misc]backup-simplify: Simplify 1 into 1 1536826585.919 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826585.920 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.920 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.920 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826585.920 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826585.920 * [misc]taylor: Taking taylor expansion of -2 in k 1536826585.920 * [misc]backup-simplify: Simplify -2 into -2 1536826585.920 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826585.920 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.920 * [misc]backup-simplify: Simplify PI into PI 1536826585.920 * [misc]taylor: Taking taylor expansion of n in k 1536826585.920 * [misc]backup-simplify: Simplify n into n 1536826585.920 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826585.920 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826585.920 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826585.921 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826585.921 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.921 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826585.921 * [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))) 1536826585.921 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826585.921 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826585.921 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826585.921 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.922 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of k in n 1536826585.922 * [misc]backup-simplify: Simplify k into k 1536826585.922 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826585.922 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.922 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.922 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of -2 in n 1536826585.922 * [misc]backup-simplify: Simplify -2 into -2 1536826585.922 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826585.922 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.922 * [misc]backup-simplify: Simplify PI into PI 1536826585.922 * [misc]taylor: Taking taylor expansion of n in n 1536826585.922 * [misc]backup-simplify: Simplify 0 into 0 1536826585.922 * [misc]backup-simplify: Simplify 1 into 1 1536826585.923 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826585.923 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826585.923 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826585.924 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826585.924 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826585.924 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826585.925 * [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))) 1536826585.926 * [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)))) 1536826585.926 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.926 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.926 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826585.926 * [misc]taylor: Taking taylor expansion of k in n 1536826585.927 * [misc]backup-simplify: Simplify k into k 1536826585.927 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826585.927 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.927 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.927 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826585.927 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826585.927 * [misc]taylor: Taking taylor expansion of -2 in n 1536826585.927 * [misc]backup-simplify: Simplify -2 into -2 1536826585.927 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826585.927 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.927 * [misc]backup-simplify: Simplify PI into PI 1536826585.927 * [misc]taylor: Taking taylor expansion of n in n 1536826585.927 * [misc]backup-simplify: Simplify 0 into 0 1536826585.927 * [misc]backup-simplify: Simplify 1 into 1 1536826585.927 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826585.928 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826585.928 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826585.928 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826585.928 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826585.929 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826585.930 * [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))) 1536826585.930 * [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)))) 1536826585.931 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.931 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of k in k 1536826585.931 * [misc]backup-simplify: Simplify 0 into 0 1536826585.931 * [misc]backup-simplify: Simplify 1 into 1 1536826585.931 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826585.931 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.931 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.931 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536826585.931 * [misc]taylor: Taking taylor expansion of -2 in k 1536826585.931 * [misc]backup-simplify: Simplify -2 into -2 1536826585.931 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.931 * [misc]backup-simplify: Simplify PI into PI 1536826585.932 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826585.932 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826585.932 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826585.932 * [misc]taylor: Taking taylor expansion of n in k 1536826585.932 * [misc]backup-simplify: Simplify n into n 1536826585.932 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826585.933 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826585.933 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.933 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826585.933 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536826585.934 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536826585.935 * [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)))) 1536826585.936 * [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)))) 1536826585.937 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826585.938 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826585.941 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826585.942 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826585.942 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826585.942 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.943 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826585.944 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536826585.945 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826585.946 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.946 * [misc]backup-simplify: Simplify 0 into 0 1536826585.946 * [misc]backup-simplify: Simplify 0 into 0 1536826585.946 * [misc]backup-simplify: Simplify 0 into 0 1536826585.947 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826585.948 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826585.951 * [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 1536826585.952 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826585.952 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826585.952 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.952 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826585.953 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536826585.955 * [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 1536826585.955 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.955 * [misc]backup-simplify: Simplify 0 into 0 1536826585.955 * [misc]backup-simplify: Simplify 0 into 0 1536826585.955 * [misc]backup-simplify: Simplify 0 into 0 1536826585.955 * [misc]backup-simplify: Simplify 0 into 0 1536826585.956 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826585.957 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826585.963 * [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 1536826585.963 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826585.963 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826585.963 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.964 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826585.965 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536826585.967 * [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 1536826585.967 * [misc]taylor: Taking taylor expansion of 0 in k 1536826585.967 * [misc]backup-simplify: Simplify 0 into 0 1536826585.967 * [misc]backup-simplify: Simplify 0 into 0 1536826585.968 * [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))))) 1536826585.968 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) 1536826585.968 * [misc]backup-simplify: Simplify (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1536826585.968 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536826585.968 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.968 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.968 * [misc]taylor: Taking taylor expansion of k in n 1536826585.968 * [misc]backup-simplify: Simplify k into k 1536826585.968 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of 2 in n 1536826585.968 * [misc]backup-simplify: Simplify 2 into 2 1536826585.968 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826585.968 * [misc]taylor: Taking taylor expansion of n in n 1536826585.968 * [misc]backup-simplify: Simplify 0 into 0 1536826585.968 * [misc]backup-simplify: Simplify 1 into 1 1536826585.968 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.968 * [misc]backup-simplify: Simplify PI into PI 1536826585.969 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826585.969 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826585.969 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826585.970 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826585.970 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826585.970 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826585.970 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826585.970 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826585.971 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826585.971 * [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)))) 1536826585.972 * [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))))) 1536826585.972 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1536826585.972 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826585.972 * [misc]taylor: Taking taylor expansion of k in n 1536826585.972 * [misc]backup-simplify: Simplify k into k 1536826585.972 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826585.972 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826585.972 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826585.972 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.972 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.973 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826585.973 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.973 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.973 * [misc]taylor: Taking taylor expansion of k in k 1536826585.973 * [misc]backup-simplify: Simplify 0 into 0 1536826585.973 * [misc]backup-simplify: Simplify 1 into 1 1536826585.973 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826585.973 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826585.973 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.973 * [misc]backup-simplify: Simplify 2 into 2 1536826585.973 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826585.973 * [misc]taylor: Taking taylor expansion of n in k 1536826585.973 * [misc]backup-simplify: Simplify n into n 1536826585.973 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.973 * [misc]backup-simplify: Simplify PI into PI 1536826585.973 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826585.973 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826585.973 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826585.973 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826585.973 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.973 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.973 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826585.974 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826585.974 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536826585.974 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of k in k 1536826585.974 * [misc]backup-simplify: Simplify 0 into 0 1536826585.974 * [misc]backup-simplify: Simplify 1 into 1 1536826585.974 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826585.974 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826585.974 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826585.974 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.974 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.974 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826585.975 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826585.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.975 * [misc]taylor: Taking taylor expansion of k in k 1536826585.975 * [misc]backup-simplify: Simplify 0 into 0 1536826585.975 * [misc]backup-simplify: Simplify 1 into 1 1536826585.975 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826585.975 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826585.975 * [misc]taylor: Taking taylor expansion of 2 in k 1536826585.975 * [misc]backup-simplify: Simplify 2 into 2 1536826585.975 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826585.975 * [misc]taylor: Taking taylor expansion of n in k 1536826585.975 * [misc]backup-simplify: Simplify n into n 1536826585.975 * [misc]taylor: Taking taylor expansion of PI in k 1536826585.975 * [misc]backup-simplify: Simplify PI into PI 1536826585.975 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826585.975 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826585.975 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826585.975 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826585.975 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.975 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826585.975 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826585.976 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826585.976 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536826585.976 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826585.976 * [misc]taylor: Taking taylor expansion of k in k 1536826585.976 * [misc]backup-simplify: Simplify 0 into 0 1536826585.976 * [misc]backup-simplify: Simplify 1 into 1 1536826585.976 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826585.976 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826585.977 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1536826585.977 * [misc]taylor: Taking taylor expansion of 0 in n 1536826585.977 * [misc]backup-simplify: Simplify 0 into 0 1536826585.977 * [misc]backup-simplify: Simplify 0 into 0 1536826585.977 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536826585.977 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536826585.978 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536826585.978 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826585.978 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826585.978 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826585.978 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536826585.979 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1536826585.981 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1536826585.984 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1536826585.984 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536826585.984 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536826585.984 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826585.984 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826585.984 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536826585.985 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826585.985 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826585.985 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826585.985 * [misc]taylor: Taking taylor expansion of n in n 1536826585.985 * [misc]backup-simplify: Simplify 0 into 0 1536826585.985 * [misc]backup-simplify: Simplify 1 into 1 1536826585.985 * [misc]taylor: Taking taylor expansion of PI in n 1536826585.985 * [misc]backup-simplify: Simplify PI into PI 1536826585.985 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826585.986 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826585.986 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826585.986 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826585.987 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826585.987 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826585.987 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826585.987 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826585.987 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826585.987 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826585.988 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826585.988 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826585.989 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826585.990 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826585.991 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826585.991 * [misc]backup-simplify: Simplify 0 into 0 1536826585.992 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826585.992 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536826585.992 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536826585.994 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1536826585.994 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826585.994 * [misc]backup-simplify: Simplify (- 0) into 0 1536826585.994 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826585.995 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536826585.997 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1536826586.005 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1536826586.014 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1536826586.014 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.014 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.014 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.014 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.014 * [misc]backup-simplify: Simplify 2 into 2 1536826586.015 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.015 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.015 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1536826586.015 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826586.015 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.015 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.015 * [misc]backup-simplify: Simplify 2 into 2 1536826586.015 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.015 * [misc]taylor: Taking taylor expansion of n in n 1536826586.015 * [misc]backup-simplify: Simplify 0 into 0 1536826586.015 * [misc]backup-simplify: Simplify 1 into 1 1536826586.015 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.015 * [misc]backup-simplify: Simplify PI into PI 1536826586.015 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.015 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.016 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.016 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.017 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.017 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536826586.017 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826586.017 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.017 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.017 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826586.017 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826586.017 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826586.017 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826586.017 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.017 * [misc]taylor: Taking taylor expansion of n in n 1536826586.017 * [misc]backup-simplify: Simplify 0 into 0 1536826586.017 * [misc]backup-simplify: Simplify 1 into 1 1536826586.017 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.017 * [misc]backup-simplify: Simplify PI into PI 1536826586.018 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.018 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.018 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826586.018 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.019 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826586.019 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.019 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.019 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.019 * [misc]taylor: Taking taylor expansion of n in n 1536826586.019 * [misc]backup-simplify: Simplify 0 into 0 1536826586.019 * [misc]backup-simplify: Simplify 1 into 1 1536826586.019 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.019 * [misc]backup-simplify: Simplify PI into PI 1536826586.019 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.020 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.020 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826586.020 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.020 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826586.020 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826586.020 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.020 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.021 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826586.021 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826586.021 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.022 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536826586.023 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1536826586.024 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1536826586.024 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.024 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536826586.025 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826586.026 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826586.028 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826586.029 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536826586.030 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1536826586.032 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1536826586.033 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1536826586.040 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1536826586.041 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826586.041 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826586.042 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826586.043 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826586.050 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826586.059 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826586.067 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826586.069 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536826586.069 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826586.070 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536826586.074 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536826586.076 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826586.079 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826586.080 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826586.081 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826586.095 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1536826586.095 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1536826586.095 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1536826586.095 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.095 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.095 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.095 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of k in n 1536826586.095 * [misc]backup-simplify: Simplify k into k 1536826586.095 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.095 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.095 * [misc]backup-simplify: Simplify 2 into 2 1536826586.095 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.095 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.095 * [misc]backup-simplify: Simplify PI into PI 1536826586.095 * [misc]taylor: Taking taylor expansion of n in n 1536826586.095 * [misc]backup-simplify: Simplify 0 into 0 1536826586.096 * [misc]backup-simplify: Simplify 1 into 1 1536826586.096 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.096 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.097 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.097 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.097 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.097 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.097 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.098 * [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))) 1536826586.098 * [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)))) 1536826586.099 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826586.099 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826586.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.099 * [misc]taylor: Taking taylor expansion of k in n 1536826586.099 * [misc]backup-simplify: Simplify k into k 1536826586.099 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.099 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826586.099 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.099 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826586.099 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.099 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.099 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.099 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of k in k 1536826586.099 * [misc]backup-simplify: Simplify 0 into 0 1536826586.099 * [misc]backup-simplify: Simplify 1 into 1 1536826586.099 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.099 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.099 * [misc]backup-simplify: Simplify 2 into 2 1536826586.099 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.099 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.099 * [misc]backup-simplify: Simplify PI into PI 1536826586.099 * [misc]taylor: Taking taylor expansion of n in k 1536826586.099 * [misc]backup-simplify: Simplify n into n 1536826586.100 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.100 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826586.100 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826586.100 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.100 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826586.100 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826586.100 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826586.100 * [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)))) 1536826586.101 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826586.101 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of k in k 1536826586.101 * [misc]backup-simplify: Simplify 0 into 0 1536826586.101 * [misc]backup-simplify: Simplify 1 into 1 1536826586.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.101 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.101 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.101 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.101 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.101 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.101 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.101 * [misc]taylor: Taking taylor expansion of k in k 1536826586.101 * [misc]backup-simplify: Simplify 0 into 0 1536826586.101 * [misc]backup-simplify: Simplify 1 into 1 1536826586.101 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.102 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826586.102 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826586.102 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.102 * [misc]backup-simplify: Simplify 2 into 2 1536826586.102 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.102 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.102 * [misc]backup-simplify: Simplify PI into PI 1536826586.102 * [misc]taylor: Taking taylor expansion of n in k 1536826586.102 * [misc]backup-simplify: Simplify n into n 1536826586.102 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.102 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826586.102 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826586.102 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.102 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826586.102 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826586.102 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826586.103 * [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)))) 1536826586.103 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826586.103 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826586.103 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.103 * [misc]taylor: Taking taylor expansion of k in k 1536826586.103 * [misc]backup-simplify: Simplify 0 into 0 1536826586.103 * [misc]backup-simplify: Simplify 1 into 1 1536826586.103 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.103 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.103 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.104 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536826586.104 * [misc]taylor: Taking taylor expansion of 0 in n 1536826586.104 * [misc]backup-simplify: Simplify 0 into 0 1536826586.104 * [misc]backup-simplify: Simplify 0 into 0 1536826586.104 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826586.104 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826586.104 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826586.104 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.104 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.104 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.104 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.104 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.104 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.104 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.105 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.105 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.105 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of k in n 1536826586.105 * [misc]backup-simplify: Simplify k into k 1536826586.105 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.105 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.105 * [misc]backup-simplify: Simplify 2 into 2 1536826586.105 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.105 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.105 * [misc]backup-simplify: Simplify PI into PI 1536826586.105 * [misc]taylor: Taking taylor expansion of n in n 1536826586.105 * [misc]backup-simplify: Simplify 0 into 0 1536826586.105 * [misc]backup-simplify: Simplify 1 into 1 1536826586.105 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.105 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.106 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.106 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.106 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.106 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.106 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.107 * [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))) 1536826586.107 * [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)))) 1536826586.108 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826586.108 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826586.109 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.109 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.109 * [misc]backup-simplify: Simplify 0 into 0 1536826586.110 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826586.110 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826586.111 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826586.111 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826586.111 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.111 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.111 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.111 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.111 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.112 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.112 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.112 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.112 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.112 * [misc]taylor: Taking taylor expansion of k in n 1536826586.112 * [misc]backup-simplify: Simplify k into k 1536826586.112 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.112 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.112 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.112 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.112 * [misc]backup-simplify: Simplify 2 into 2 1536826586.112 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.112 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.112 * [misc]backup-simplify: Simplify PI into PI 1536826586.112 * [misc]taylor: Taking taylor expansion of n in n 1536826586.112 * [misc]backup-simplify: Simplify 0 into 0 1536826586.112 * [misc]backup-simplify: Simplify 1 into 1 1536826586.112 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.113 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.113 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.113 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.113 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.114 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.114 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.115 * [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))) 1536826586.116 * [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)))) 1536826586.117 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826586.117 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826586.118 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.119 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.120 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.121 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826586.122 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826586.123 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.123 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826586.123 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.123 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.123 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.124 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826586.125 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826586.126 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1536826586.127 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536826586.127 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.127 * [misc]backup-simplify: Simplify 0 into 0 1536826586.127 * [misc]backup-simplify: Simplify 0 into 0 1536826586.127 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.128 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826586.128 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826586.129 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826586.129 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.129 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.129 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.129 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.129 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.129 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of k in n 1536826586.129 * [misc]backup-simplify: Simplify k into k 1536826586.129 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.129 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.129 * [misc]backup-simplify: Simplify 2 into 2 1536826586.129 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.129 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.129 * [misc]backup-simplify: Simplify PI into PI 1536826586.129 * [misc]taylor: Taking taylor expansion of n in n 1536826586.129 * [misc]backup-simplify: Simplify 0 into 0 1536826586.129 * [misc]backup-simplify: Simplify 1 into 1 1536826586.130 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.130 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.130 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.130 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.130 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.130 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.131 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.131 * [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))) 1536826586.132 * [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)))) 1536826586.132 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826586.133 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826586.133 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.134 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826586.136 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1536826586.136 * [misc]backup-simplify: Simplify (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1536826586.137 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536826586.137 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of -1 in n 1536826586.137 * [misc]backup-simplify: Simplify -1 into -1 1536826586.137 * [misc]taylor: Taking taylor expansion of k in n 1536826586.137 * [misc]backup-simplify: Simplify k into k 1536826586.137 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826586.137 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826586.137 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826586.137 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826586.137 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.137 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of k in n 1536826586.137 * [misc]backup-simplify: Simplify k into k 1536826586.137 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.137 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.137 * [misc]backup-simplify: Simplify -2 into -2 1536826586.137 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.137 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.137 * [misc]backup-simplify: Simplify PI into PI 1536826586.137 * [misc]taylor: Taking taylor expansion of n in n 1536826586.137 * [misc]backup-simplify: Simplify 0 into 0 1536826586.137 * [misc]backup-simplify: Simplify 1 into 1 1536826586.138 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.138 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.138 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.138 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.139 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.139 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.140 * [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))) 1536826586.140 * [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)))) 1536826586.141 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826586.141 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of -1 in k 1536826586.141 * [misc]backup-simplify: Simplify -1 into -1 1536826586.141 * [misc]taylor: Taking taylor expansion of k in k 1536826586.141 * [misc]backup-simplify: Simplify 0 into 0 1536826586.141 * [misc]backup-simplify: Simplify 1 into 1 1536826586.141 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826586.141 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.141 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826586.141 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.141 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.141 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.141 * [misc]taylor: Taking taylor expansion of k in k 1536826586.141 * [misc]backup-simplify: Simplify 0 into 0 1536826586.141 * [misc]backup-simplify: Simplify 1 into 1 1536826586.142 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.142 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.142 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.142 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826586.142 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826586.142 * [misc]taylor: Taking taylor expansion of -2 in k 1536826586.142 * [misc]backup-simplify: Simplify -2 into -2 1536826586.142 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.142 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.142 * [misc]backup-simplify: Simplify PI into PI 1536826586.142 * [misc]taylor: Taking taylor expansion of n in k 1536826586.142 * [misc]backup-simplify: Simplify n into n 1536826586.142 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.142 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826586.142 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826586.142 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.142 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.142 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826586.143 * [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))) 1536826586.143 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826586.143 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826586.143 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826586.143 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826586.143 * [misc]taylor: Taking taylor expansion of -1 in k 1536826586.143 * [misc]backup-simplify: Simplify -1 into -1 1536826586.143 * [misc]taylor: Taking taylor expansion of k in k 1536826586.143 * [misc]backup-simplify: Simplify 0 into 0 1536826586.143 * [misc]backup-simplify: Simplify 1 into 1 1536826586.143 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826586.143 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.143 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826586.144 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.144 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of k in k 1536826586.144 * [misc]backup-simplify: Simplify 0 into 0 1536826586.144 * [misc]backup-simplify: Simplify 1 into 1 1536826586.144 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.144 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.144 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.144 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of -2 in k 1536826586.144 * [misc]backup-simplify: Simplify -2 into -2 1536826586.144 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.144 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.144 * [misc]backup-simplify: Simplify PI into PI 1536826586.144 * [misc]taylor: Taking taylor expansion of n in k 1536826586.144 * [misc]backup-simplify: Simplify n into n 1536826586.144 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.144 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826586.144 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826586.144 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.144 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.145 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826586.145 * [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))) 1536826586.145 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826586.145 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.145 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.145 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.145 * [misc]backup-simplify: Simplify -2 into -2 1536826586.145 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.145 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.145 * [misc]backup-simplify: Simplify PI into PI 1536826586.145 * [misc]taylor: Taking taylor expansion of n in n 1536826586.145 * [misc]backup-simplify: Simplify 0 into 0 1536826586.145 * [misc]backup-simplify: Simplify 1 into 1 1536826586.146 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.146 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.146 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.146 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.146 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.146 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.146 * [misc]taylor: Taking taylor expansion of k in n 1536826586.146 * [misc]backup-simplify: Simplify k into k 1536826586.146 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.146 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.146 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.147 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.147 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.147 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.148 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.149 * [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)))) 1536826586.149 * [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))))) 1536826586.150 * [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))))) 1536826586.151 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826586.152 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826586.153 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826586.153 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.153 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.153 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.153 * [misc]backup-simplify: Simplify -2 into -2 1536826586.153 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.153 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.153 * [misc]backup-simplify: Simplify PI into PI 1536826586.153 * [misc]taylor: Taking taylor expansion of n in n 1536826586.154 * [misc]backup-simplify: Simplify 0 into 0 1536826586.154 * [misc]backup-simplify: Simplify 1 into 1 1536826586.154 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.154 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.155 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.155 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.155 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.155 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.155 * [misc]taylor: Taking taylor expansion of k in n 1536826586.155 * [misc]backup-simplify: Simplify k into k 1536826586.155 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.155 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.155 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.156 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.156 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.156 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.157 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.158 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) into (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) 1536826586.158 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826586.159 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826586.160 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826586.161 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826586.162 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.162 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.162 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826586.162 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.164 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.164 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826586.168 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826586.169 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536826586.170 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826586.173 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1536826586.173 * [misc]backup-simplify: Simplify 0 into 0 1536826586.174 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.175 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826586.177 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826586.177 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.177 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.177 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.177 * [misc]backup-simplify: Simplify -2 into -2 1536826586.177 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.177 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.178 * [misc]backup-simplify: Simplify PI into PI 1536826586.178 * [misc]taylor: Taking taylor expansion of n in n 1536826586.178 * [misc]backup-simplify: Simplify 0 into 0 1536826586.178 * [misc]backup-simplify: Simplify 1 into 1 1536826586.178 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.179 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.179 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.179 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.180 * [misc]taylor: Taking taylor expansion of k in n 1536826586.180 * [misc]backup-simplify: Simplify k into k 1536826586.180 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.180 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.184 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.184 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.184 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.185 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.186 * [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)))) 1536826586.187 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826586.188 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826586.189 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826586.190 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826586.193 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1536826586.194 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2 1) 1536826586.194 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536826586.194 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536826586.194 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.194 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.194 * [misc]backup-simplify: Simplify 2 into 2 1536826586.194 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.194 * [misc]taylor: Taking taylor expansion of n in n 1536826586.194 * [misc]backup-simplify: Simplify 0 into 0 1536826586.194 * [misc]backup-simplify: Simplify 1 into 1 1536826586.194 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.194 * [misc]backup-simplify: Simplify PI into PI 1536826586.194 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.194 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.194 * [misc]backup-simplify: Simplify 2 into 2 1536826586.194 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.195 * [misc]taylor: Taking taylor expansion of n in n 1536826586.195 * [misc]backup-simplify: Simplify 0 into 0 1536826586.195 * [misc]backup-simplify: Simplify 1 into 1 1536826586.195 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.195 * [misc]backup-simplify: Simplify PI into PI 1536826586.195 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.195 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.195 * [misc]backup-simplify: Simplify 0 into 0 1536826586.196 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.197 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.197 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.199 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826586.200 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826586.200 * [misc]backup-simplify: Simplify 0 into 0 1536826586.202 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826586.203 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826586.203 * [misc]backup-simplify: Simplify 0 into 0 1536826586.206 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826586.208 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536826586.208 * [misc]backup-simplify: Simplify 0 into 0 1536826586.211 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826586.214 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536826586.214 * [misc]backup-simplify: Simplify 0 into 0 1536826586.218 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826586.221 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536826586.221 * [misc]backup-simplify: Simplify 0 into 0 1536826586.226 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536826586.230 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536826586.230 * [misc]backup-simplify: Simplify 0 into 0 1536826586.231 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536826586.231 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536826586.231 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536826586.231 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.231 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.231 * [misc]backup-simplify: Simplify 2 into 2 1536826586.231 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.231 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.231 * [misc]backup-simplify: Simplify PI into PI 1536826586.231 * [misc]taylor: Taking taylor expansion of n in n 1536826586.231 * [misc]backup-simplify: Simplify 0 into 0 1536826586.231 * [misc]backup-simplify: Simplify 1 into 1 1536826586.235 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.235 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.235 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.235 * [misc]backup-simplify: Simplify 2 into 2 1536826586.235 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.235 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.236 * [misc]backup-simplify: Simplify PI into PI 1536826586.236 * [misc]taylor: Taking taylor expansion of n in n 1536826586.236 * [misc]backup-simplify: Simplify 0 into 0 1536826586.236 * [misc]backup-simplify: Simplify 1 into 1 1536826586.236 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.236 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.237 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.238 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.239 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826586.239 * [misc]backup-simplify: Simplify 0 into 0 1536826586.241 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.242 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826586.242 * [misc]backup-simplify: Simplify 0 into 0 1536826586.244 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.246 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826586.246 * [misc]backup-simplify: Simplify 0 into 0 1536826586.248 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.250 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826586.250 * [misc]backup-simplify: Simplify 0 into 0 1536826586.252 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.254 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826586.254 * [misc]backup-simplify: Simplify 0 into 0 1536826586.255 * [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 1536826586.257 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826586.257 * [misc]backup-simplify: Simplify 0 into 0 1536826586.257 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536826586.258 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536826586.258 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536826586.258 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.258 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.258 * [misc]backup-simplify: Simplify -2 into -2 1536826586.258 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.258 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.258 * [misc]backup-simplify: Simplify PI into PI 1536826586.258 * [misc]taylor: Taking taylor expansion of n in n 1536826586.258 * [misc]backup-simplify: Simplify 0 into 0 1536826586.258 * [misc]backup-simplify: Simplify 1 into 1 1536826586.258 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.258 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.258 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.258 * [misc]backup-simplify: Simplify -2 into -2 1536826586.258 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.258 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.258 * [misc]backup-simplify: Simplify PI into PI 1536826586.258 * [misc]taylor: Taking taylor expansion of n in n 1536826586.258 * [misc]backup-simplify: Simplify 0 into 0 1536826586.258 * [misc]backup-simplify: Simplify 1 into 1 1536826586.258 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.259 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.259 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.260 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.260 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826586.260 * [misc]backup-simplify: Simplify 0 into 0 1536826586.261 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.262 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826586.262 * [misc]backup-simplify: Simplify 0 into 0 1536826586.263 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.264 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826586.264 * [misc]backup-simplify: Simplify 0 into 0 1536826586.265 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.266 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826586.266 * [misc]backup-simplify: Simplify 0 into 0 1536826586.268 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.269 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826586.269 * [misc]backup-simplify: Simplify 0 into 0 1536826586.271 * [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 1536826586.273 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826586.273 * [misc]backup-simplify: Simplify 0 into 0 1536826586.273 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536826586.273 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1536826586.274 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1536826586.274 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1536826586.274 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of k in n 1536826586.274 * [misc]backup-simplify: Simplify k into k 1536826586.274 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.274 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826586.274 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.274 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826586.274 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.274 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.274 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.274 * [misc]taylor: Taking taylor expansion of k in n 1536826586.274 * [misc]backup-simplify: Simplify k into k 1536826586.274 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.274 * [misc]backup-simplify: Simplify 2 into 2 1536826586.274 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.274 * [misc]taylor: Taking taylor expansion of n in n 1536826586.274 * [misc]backup-simplify: Simplify 0 into 0 1536826586.274 * [misc]backup-simplify: Simplify 1 into 1 1536826586.274 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.274 * [misc]backup-simplify: Simplify PI into PI 1536826586.275 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.275 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.275 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.276 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.276 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.276 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826586.276 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826586.276 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826586.277 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.277 * [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)))) 1536826586.278 * [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))))) 1536826586.278 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of k in k 1536826586.278 * [misc]backup-simplify: Simplify 0 into 0 1536826586.278 * [misc]backup-simplify: Simplify 1 into 1 1536826586.278 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.278 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.278 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.278 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.278 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.278 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826586.278 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.279 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.279 * [misc]taylor: Taking taylor expansion of k in k 1536826586.279 * [misc]backup-simplify: Simplify 0 into 0 1536826586.279 * [misc]backup-simplify: Simplify 1 into 1 1536826586.279 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826586.279 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826586.279 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.279 * [misc]backup-simplify: Simplify 2 into 2 1536826586.279 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826586.279 * [misc]taylor: Taking taylor expansion of n in k 1536826586.279 * [misc]backup-simplify: Simplify n into n 1536826586.279 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.279 * [misc]backup-simplify: Simplify PI into PI 1536826586.279 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826586.279 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826586.279 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826586.279 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826586.279 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.279 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.279 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826586.280 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826586.280 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of k in k 1536826586.280 * [misc]backup-simplify: Simplify 0 into 0 1536826586.280 * [misc]backup-simplify: Simplify 1 into 1 1536826586.280 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.280 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.280 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.280 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.280 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.280 * [misc]taylor: Taking taylor expansion of k in k 1536826586.280 * [misc]backup-simplify: Simplify 0 into 0 1536826586.280 * [misc]backup-simplify: Simplify 1 into 1 1536826586.280 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.280 * [misc]backup-simplify: Simplify 2 into 2 1536826586.280 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826586.280 * [misc]taylor: Taking taylor expansion of n in k 1536826586.280 * [misc]backup-simplify: Simplify n into n 1536826586.280 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.281 * [misc]backup-simplify: Simplify PI into PI 1536826586.281 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826586.281 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826586.281 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826586.281 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826586.281 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.281 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.281 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826586.281 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826586.282 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1536826586.282 * [misc]taylor: Taking taylor expansion of 0 in n 1536826586.282 * [misc]backup-simplify: Simplify 0 into 0 1536826586.282 * [misc]backup-simplify: Simplify 0 into 0 1536826586.282 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536826586.282 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536826586.283 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536826586.283 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826586.283 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826586.283 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826586.284 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536826586.284 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1536826586.284 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1536826586.285 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.285 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.285 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.285 * [misc]backup-simplify: Simplify 2 into 2 1536826586.285 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.285 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.285 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.285 * [misc]taylor: Taking taylor expansion of n in n 1536826586.285 * [misc]backup-simplify: Simplify 0 into 0 1536826586.285 * [misc]backup-simplify: Simplify 1 into 1 1536826586.285 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.285 * [misc]backup-simplify: Simplify PI into PI 1536826586.285 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.286 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.286 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.286 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.286 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826586.286 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.286 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.287 * [misc]backup-simplify: Simplify 0 into 0 1536826586.287 * [misc]backup-simplify: Simplify 0 into 0 1536826586.287 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536826586.288 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536826586.290 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1536826586.291 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826586.291 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.291 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.292 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536826586.294 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1536826586.294 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826586.295 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826586.297 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1536826586.297 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1536826586.297 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.298 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.298 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.298 * [misc]backup-simplify: Simplify 2 into 2 1536826586.298 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.298 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.298 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.298 * [misc]backup-simplify: Simplify 2 into 2 1536826586.298 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.298 * [misc]taylor: Taking taylor expansion of n in n 1536826586.298 * [misc]backup-simplify: Simplify 0 into 0 1536826586.298 * [misc]backup-simplify: Simplify 1 into 1 1536826586.298 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.298 * [misc]backup-simplify: Simplify PI into PI 1536826586.299 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.299 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.300 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.300 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.301 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.301 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.301 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.301 * [misc]taylor: Taking taylor expansion of n in n 1536826586.301 * [misc]backup-simplify: Simplify 0 into 0 1536826586.301 * [misc]backup-simplify: Simplify 1 into 1 1536826586.301 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.301 * [misc]backup-simplify: Simplify PI into PI 1536826586.301 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.302 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.302 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.303 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.303 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826586.303 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826586.303 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.303 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.303 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826586.303 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.303 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.303 * [misc]backup-simplify: Simplify 2 into 2 1536826586.303 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.304 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.304 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.304 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.304 * [misc]taylor: Taking taylor expansion of n in n 1536826586.304 * [misc]backup-simplify: Simplify 0 into 0 1536826586.304 * [misc]backup-simplify: Simplify 1 into 1 1536826586.304 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.304 * [misc]backup-simplify: Simplify PI into PI 1536826586.304 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.305 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.305 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.305 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.306 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.307 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536826586.308 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536826586.308 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.308 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826586.308 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.308 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.309 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.309 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.309 * [misc]backup-simplify: Simplify 0 into 0 1536826586.310 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.313 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.315 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.316 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.316 * [misc]backup-simplify: Simplify 0 into 0 1536826586.318 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826586.318 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1536826586.323 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1536826586.323 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536826586.323 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.323 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.324 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1536826586.328 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1536826586.328 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.329 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826586.334 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1536826586.334 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1536826586.334 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1536826586.334 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.335 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.335 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.335 * [misc]backup-simplify: Simplify 2 into 2 1536826586.335 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.335 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.335 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.335 * [misc]backup-simplify: Simplify 2 into 2 1536826586.335 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.335 * [misc]taylor: Taking taylor expansion of n in n 1536826586.335 * [misc]backup-simplify: Simplify 0 into 0 1536826586.335 * [misc]backup-simplify: Simplify 1 into 1 1536826586.335 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.336 * [misc]backup-simplify: Simplify PI into PI 1536826586.336 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.336 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.337 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.337 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.338 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.338 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.338 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.338 * [misc]taylor: Taking taylor expansion of n in n 1536826586.338 * [misc]backup-simplify: Simplify 0 into 0 1536826586.338 * [misc]backup-simplify: Simplify 1 into 1 1536826586.338 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.338 * [misc]backup-simplify: Simplify PI into PI 1536826586.339 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.340 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.340 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.341 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.341 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.341 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.341 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.341 * [misc]backup-simplify: Simplify 2 into 2 1536826586.341 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.341 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.341 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826586.341 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.342 * [misc]backup-simplify: Simplify 2 into 2 1536826586.342 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.342 * [misc]taylor: Taking taylor expansion of n in n 1536826586.342 * [misc]backup-simplify: Simplify 0 into 0 1536826586.342 * [misc]backup-simplify: Simplify 1 into 1 1536826586.342 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.342 * [misc]backup-simplify: Simplify PI into PI 1536826586.342 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.342 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826586.343 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.344 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826586.344 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.345 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.345 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.345 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.345 * [misc]taylor: Taking taylor expansion of n in n 1536826586.345 * [misc]backup-simplify: Simplify 0 into 0 1536826586.345 * [misc]backup-simplify: Simplify 1 into 1 1536826586.345 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.345 * [misc]backup-simplify: Simplify PI into PI 1536826586.345 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.346 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.346 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.347 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.347 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826586.347 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826586.347 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.347 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.347 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826586.347 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826586.347 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.347 * [misc]backup-simplify: Simplify 2 into 2 1536826586.347 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826586.347 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826586.348 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826586.348 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826586.348 * [misc]taylor: Taking taylor expansion of n in n 1536826586.348 * [misc]backup-simplify: Simplify 0 into 0 1536826586.348 * [misc]backup-simplify: Simplify 1 into 1 1536826586.348 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.348 * [misc]backup-simplify: Simplify PI into PI 1536826586.348 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826586.349 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826586.349 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.349 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826586.350 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.351 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536826586.352 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536826586.352 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.353 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.355 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1536826586.356 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1536826586.357 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1536826586.357 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.358 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.359 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.359 * [misc]backup-simplify: Simplify 0 into 0 1536826586.360 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826586.361 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826586.364 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826586.365 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826586.366 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826586.367 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1536826586.370 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1536826586.372 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.373 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.374 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826586.376 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1536826586.379 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1536826586.381 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1536826586.382 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826586.383 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1536826586.384 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536826586.386 * [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)))) 1536826586.389 * [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)))) 1536826586.390 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536826586.392 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536826586.397 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +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 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1536826586.398 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 k)) (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826586.398 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1536826586.398 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of k in n 1536826586.398 * [misc]backup-simplify: Simplify k into k 1536826586.398 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826586.398 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826586.398 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.398 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.398 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.398 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of k in n 1536826586.398 * [misc]backup-simplify: Simplify k into k 1536826586.398 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.398 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.398 * [misc]backup-simplify: Simplify 2 into 2 1536826586.398 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.398 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.398 * [misc]backup-simplify: Simplify PI into PI 1536826586.398 * [misc]taylor: Taking taylor expansion of n in n 1536826586.398 * [misc]backup-simplify: Simplify 0 into 0 1536826586.398 * [misc]backup-simplify: Simplify 1 into 1 1536826586.399 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.399 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.399 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.399 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.399 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.399 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.400 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.400 * [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))) 1536826586.401 * [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)))) 1536826586.401 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826586.401 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826586.401 * [misc]taylor: Taking taylor expansion of k in k 1536826586.401 * [misc]backup-simplify: Simplify 0 into 0 1536826586.401 * [misc]backup-simplify: Simplify 1 into 1 1536826586.401 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.401 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.401 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826586.401 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.402 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.402 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.402 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of k in k 1536826586.402 * [misc]backup-simplify: Simplify 0 into 0 1536826586.402 * [misc]backup-simplify: Simplify 1 into 1 1536826586.402 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.402 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.402 * [misc]backup-simplify: Simplify 2 into 2 1536826586.402 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.402 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.402 * [misc]backup-simplify: Simplify PI into PI 1536826586.402 * [misc]taylor: Taking taylor expansion of n in k 1536826586.402 * [misc]backup-simplify: Simplify n into n 1536826586.402 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.402 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826586.402 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826586.402 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.402 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826586.403 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826586.403 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826586.403 * [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)))) 1536826586.403 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of k in k 1536826586.403 * [misc]backup-simplify: Simplify 0 into 0 1536826586.403 * [misc]backup-simplify: Simplify 1 into 1 1536826586.403 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.403 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826586.403 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826586.403 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.404 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.404 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.404 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.404 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.404 * [misc]taylor: Taking taylor expansion of k in k 1536826586.404 * [misc]backup-simplify: Simplify 0 into 0 1536826586.404 * [misc]backup-simplify: Simplify 1 into 1 1536826586.404 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.404 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826586.404 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826586.404 * [misc]taylor: Taking taylor expansion of 2 in k 1536826586.404 * [misc]backup-simplify: Simplify 2 into 2 1536826586.404 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.404 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.404 * [misc]backup-simplify: Simplify PI into PI 1536826586.404 * [misc]taylor: Taking taylor expansion of n in k 1536826586.404 * [misc]backup-simplify: Simplify n into n 1536826586.404 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.404 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826586.404 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826586.404 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.404 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826586.404 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826586.405 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826586.405 * [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)))) 1536826586.405 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1536826586.405 * [misc]taylor: Taking taylor expansion of 0 in n 1536826586.405 * [misc]backup-simplify: Simplify 0 into 0 1536826586.405 * [misc]backup-simplify: Simplify 0 into 0 1536826586.405 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826586.405 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.405 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.405 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.405 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.406 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.406 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.406 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.406 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of k in n 1536826586.406 * [misc]backup-simplify: Simplify k into k 1536826586.406 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.406 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.406 * [misc]backup-simplify: Simplify 2 into 2 1536826586.406 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.406 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.406 * [misc]backup-simplify: Simplify PI into PI 1536826586.406 * [misc]taylor: Taking taylor expansion of n in n 1536826586.406 * [misc]backup-simplify: Simplify 0 into 0 1536826586.406 * [misc]backup-simplify: Simplify 1 into 1 1536826586.406 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.406 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.407 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.407 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.407 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.407 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.407 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.408 * [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))) 1536826586.408 * [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)))) 1536826586.409 * [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))))) 1536826586.409 * [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)))))) 1536826586.410 * [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)))))) 1536826586.410 * [misc]backup-simplify: Simplify 0 into 0 1536826586.411 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826586.411 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826586.411 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.411 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.411 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.411 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.411 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.411 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.412 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.412 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.412 * [misc]taylor: Taking taylor expansion of k in n 1536826586.412 * [misc]backup-simplify: Simplify k into k 1536826586.412 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.412 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.412 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.412 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.412 * [misc]backup-simplify: Simplify 2 into 2 1536826586.412 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.412 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.412 * [misc]backup-simplify: Simplify PI into PI 1536826586.412 * [misc]taylor: Taking taylor expansion of n in n 1536826586.412 * [misc]backup-simplify: Simplify 0 into 0 1536826586.412 * [misc]backup-simplify: Simplify 1 into 1 1536826586.412 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.412 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.413 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.413 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.413 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.413 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.413 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.414 * [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))) 1536826586.414 * [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)))) 1536826586.415 * [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))))) 1536826586.416 * [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)))))) 1536826586.417 * [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)))))) 1536826586.418 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.419 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826586.422 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826586.422 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.423 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826586.423 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.423 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.424 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.425 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826586.426 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826586.427 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536826586.427 * [misc]backup-simplify: Simplify (- 0) into 0 1536826586.428 * [misc]backup-simplify: Simplify 0 into 0 1536826586.428 * [misc]backup-simplify: Simplify 0 into 0 1536826586.431 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826586.431 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826586.432 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.432 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.432 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.432 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.432 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.432 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of k in n 1536826586.432 * [misc]backup-simplify: Simplify k into k 1536826586.432 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.432 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of 2 in n 1536826586.432 * [misc]backup-simplify: Simplify 2 into 2 1536826586.432 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.432 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.432 * [misc]backup-simplify: Simplify PI into PI 1536826586.432 * [misc]taylor: Taking taylor expansion of n in n 1536826586.432 * [misc]backup-simplify: Simplify 0 into 0 1536826586.432 * [misc]backup-simplify: Simplify 1 into 1 1536826586.432 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.432 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826586.433 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826586.433 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.433 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826586.433 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826586.433 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826586.434 * [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))) 1536826586.434 * [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)))) 1536826586.435 * [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))))) 1536826586.435 * [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)))))) 1536826586.436 * [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)))))) 1536826586.438 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1536826586.438 * [misc]backup-simplify: Simplify (/ 1 (/ (sqrt (/ 1 (- k))) (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1536826586.438 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1536826586.438 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536826586.438 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.438 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826586.438 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826586.438 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.439 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of k in n 1536826586.439 * [misc]backup-simplify: Simplify k into k 1536826586.439 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.439 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.439 * [misc]backup-simplify: Simplify -2 into -2 1536826586.439 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.439 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.439 * [misc]backup-simplify: Simplify PI into PI 1536826586.439 * [misc]taylor: Taking taylor expansion of n in n 1536826586.439 * [misc]backup-simplify: Simplify 0 into 0 1536826586.439 * [misc]backup-simplify: Simplify 1 into 1 1536826586.439 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.439 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.440 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.440 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.440 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.440 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.441 * [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))) 1536826586.441 * [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)))) 1536826586.441 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826586.441 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826586.441 * [misc]taylor: Taking taylor expansion of -1 in n 1536826586.441 * [misc]backup-simplify: Simplify -1 into -1 1536826586.441 * [misc]taylor: Taking taylor expansion of k in n 1536826586.441 * [misc]backup-simplify: Simplify k into k 1536826586.441 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826586.441 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826586.441 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826586.442 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826586.442 * [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))) 1536826586.442 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.442 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of k in k 1536826586.442 * [misc]backup-simplify: Simplify 0 into 0 1536826586.442 * [misc]backup-simplify: Simplify 1 into 1 1536826586.442 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.442 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.442 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.442 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826586.442 * [misc]taylor: Taking taylor expansion of -2 in k 1536826586.442 * [misc]backup-simplify: Simplify -2 into -2 1536826586.442 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.443 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.443 * [misc]backup-simplify: Simplify PI into PI 1536826586.443 * [misc]taylor: Taking taylor expansion of n in k 1536826586.443 * [misc]backup-simplify: Simplify n into n 1536826586.443 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.443 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826586.443 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826586.443 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.443 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.443 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826586.443 * [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))) 1536826586.443 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826586.443 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826586.443 * [misc]taylor: Taking taylor expansion of -1 in k 1536826586.443 * [misc]backup-simplify: Simplify -1 into -1 1536826586.443 * [misc]taylor: Taking taylor expansion of k in k 1536826586.443 * [misc]backup-simplify: Simplify 0 into 0 1536826586.443 * [misc]backup-simplify: Simplify 1 into 1 1536826586.444 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826586.444 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.444 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826586.444 * [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)))) 1536826586.444 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.444 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.444 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826586.444 * [misc]taylor: Taking taylor expansion of k in k 1536826586.444 * [misc]backup-simplify: Simplify 0 into 0 1536826586.444 * [misc]backup-simplify: Simplify 1 into 1 1536826586.445 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826586.445 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826586.445 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.445 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826586.445 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826586.445 * [misc]taylor: Taking taylor expansion of -2 in k 1536826586.445 * [misc]backup-simplify: Simplify -2 into -2 1536826586.445 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826586.445 * [misc]taylor: Taking taylor expansion of PI in k 1536826586.445 * [misc]backup-simplify: Simplify PI into PI 1536826586.445 * [misc]taylor: Taking taylor expansion of n in k 1536826586.445 * [misc]backup-simplify: Simplify n into n 1536826586.445 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826586.445 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826586.445 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826586.445 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826586.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826586.445 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826586.445 * [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))) 1536826586.446 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826586.446 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826586.446 * [misc]taylor: Taking taylor expansion of -1 in k 1536826586.446 * [misc]backup-simplify: Simplify -1 into -1 1536826586.446 * [misc]taylor: Taking taylor expansion of k in k 1536826586.446 * [misc]backup-simplify: Simplify 0 into 0 1536826586.446 * [misc]backup-simplify: Simplify 1 into 1 1536826586.446 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826586.446 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826586.446 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826586.446 * [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)))) 1536826586.446 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.446 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.446 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.446 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.447 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.447 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.447 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.447 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.447 * [misc]backup-simplify: Simplify -2 into -2 1536826586.447 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.447 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.447 * [misc]backup-simplify: Simplify PI into PI 1536826586.447 * [misc]taylor: Taking taylor expansion of n in n 1536826586.447 * [misc]backup-simplify: Simplify 0 into 0 1536826586.447 * [misc]backup-simplify: Simplify 1 into 1 1536826586.447 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.447 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.448 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.448 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.448 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.448 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.448 * [misc]taylor: Taking taylor expansion of k in n 1536826586.448 * [misc]backup-simplify: Simplify k into k 1536826586.448 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.448 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.448 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.448 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.449 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.449 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.449 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.450 * [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)))) 1536826586.450 * [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))))) 1536826586.451 * [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))))) 1536826586.451 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826586.452 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826586.452 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1536826586.452 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.452 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.452 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.452 * [misc]backup-simplify: Simplify -2 into -2 1536826586.452 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.452 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.452 * [misc]backup-simplify: Simplify PI into PI 1536826586.452 * [misc]taylor: Taking taylor expansion of n in n 1536826586.452 * [misc]backup-simplify: Simplify 0 into 0 1536826586.452 * [misc]backup-simplify: Simplify 1 into 1 1536826586.452 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.453 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.453 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.453 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.453 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.453 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.453 * [misc]taylor: Taking taylor expansion of k in n 1536826586.453 * [misc]backup-simplify: Simplify k into k 1536826586.453 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.453 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.453 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.454 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.454 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.454 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.454 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.455 * [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)))) 1536826586.455 * [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))))) 1536826586.456 * [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)))))) 1536826586.456 * [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)))))) 1536826586.457 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.457 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826586.457 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826586.457 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826586.458 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826586.458 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826586.460 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826586.461 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536826586.462 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826586.462 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1536826586.462 * [misc]backup-simplify: Simplify 0 into 0 1536826586.463 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826586.463 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826586.464 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1536826586.464 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826586.464 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826586.464 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of -2 in n 1536826586.464 * [misc]backup-simplify: Simplify -2 into -2 1536826586.464 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826586.464 * [misc]taylor: Taking taylor expansion of PI in n 1536826586.465 * [misc]backup-simplify: Simplify PI into PI 1536826586.465 * [misc]taylor: Taking taylor expansion of n in n 1536826586.465 * [misc]backup-simplify: Simplify 0 into 0 1536826586.465 * [misc]backup-simplify: Simplify 1 into 1 1536826586.465 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826586.465 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826586.465 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826586.465 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826586.465 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826586.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.465 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.465 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826586.465 * [misc]taylor: Taking taylor expansion of k in n 1536826586.465 * [misc]backup-simplify: Simplify k into k 1536826586.465 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826586.465 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826586.466 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826586.466 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826586.466 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826586.466 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826586.467 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826586.467 * [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)))) 1536826586.468 * [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))))) 1536826586.468 * [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)))))) 1536826586.469 * [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)))))) 1536826586.471 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1536826586.471 * * * [misc]progress: simplifying candidates 1536826586.471 * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # 1536826586.471 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536826586.472 * * [misc]simplify: iters left: 6 (11 enodes) 1536826586.475 * * [misc]simplify: iters left: 5 (21 enodes) 1536826586.481 * * [misc]simplify: iters left: 4 (47 enodes) 1536826586.495 * * [misc]simplify: iters left: 3 (109 enodes) 1536826586.560 * * [misc]simplify: iters left: 2 (300 enodes) 1536826586.935 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536826586.935 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))))))) 1536826586.935 * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # 1536826586.935 * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # 1536826586.935 * [enter]simplify: Simplifying (* PI (* n 2)) 1536826586.936 * * [misc]simplify: iters left: 4 (5 enodes) 1536826586.937 * * [misc]simplify: iters left: 3 (9 enodes) 1536826586.940 * * [misc]simplify: iters left: 2 (15 enodes) 1536826586.942 * * [misc]simplify: iters left: 1 (17 enodes) 1536826586.945 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536826586.945 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2))))))) 1536826586.945 * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # 1536826586.945 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826586.946 * * [misc]simplify: iters left: 5 (8 enodes) 1536826586.948 * * [misc]simplify: iters left: 4 (12 enodes) 1536826586.950 * * [misc]simplify: iters left: 3 (18 enodes) 1536826586.956 * * [misc]simplify: iters left: 2 (20 enodes) 1536826586.962 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826586.962 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2)))))) 1536826586.962 * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # 1536826586.963 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536826586.963 * * [misc]simplify: iters left: 5 (6 enodes) 1536826586.965 * * [misc]simplify: iters left: 4 (8 enodes) 1536826586.968 * * [misc]simplify: iters left: 3 (11 enodes) 1536826586.972 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536826586.972 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2))))))) 1536826586.972 * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # 1536826586.972 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536826586.973 * * [misc]simplify: iters left: 5 (6 enodes) 1536826586.975 * * [misc]simplify: iters left: 4 (8 enodes) 1536826586.978 * * [misc]simplify: iters left: 3 (11 enodes) 1536826586.982 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536826586.982 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))))) 1536826586.982 * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # 1536826586.982 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536826586.983 * * [misc]simplify: iters left: 4 (5 enodes) 1536826586.984 * * [misc]simplify: iters left: 3 (7 enodes) 1536826586.987 * * [misc]simplify: iters left: 2 (10 enodes) 1536826586.992 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536826586.992 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2)))))) 1536826586.992 * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # 1536826586.993 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826586.994 * * [misc]simplify: iters left: 5 (9 enodes) 1536826586.998 * * [misc]simplify: iters left: 4 (15 enodes) 1536826587.004 * * [misc]simplify: iters left: 3 (21 enodes) 1536826587.011 * * [misc]simplify: iters left: 2 (22 enodes) 1536826587.018 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826587.018 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826587.018 * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # 1536826587.018 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826587.019 * * [misc]simplify: iters left: 5 (9 enodes) 1536826587.023 * * [misc]simplify: iters left: 4 (15 enodes) 1536826587.028 * * [misc]simplify: iters left: 3 (21 enodes) 1536826587.035 * * [misc]simplify: iters left: 2 (22 enodes) 1536826587.041 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826587.041 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826587.041 * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # 1536826587.041 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536826587.042 * * [misc]simplify: iters left: 5 (7 enodes) 1536826587.045 * * [misc]simplify: iters left: 4 (9 enodes) 1536826587.048 * * [misc]simplify: iters left: 3 (12 enodes) 1536826587.051 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536826587.052 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826587.052 * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # 1536826587.052 * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # 1536826587.052 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1536826587.054 * * [misc]simplify: iters left: 6 (14 enodes) 1536826587.060 * * [misc]simplify: iters left: 5 (26 enodes) 1536826587.074 * * [misc]simplify: iters left: 4 (59 enodes) 1536826587.112 * * [misc]simplify: iters left: 3 (164 enodes) 1536826587.243 * * [misc]simplify: iters left: 2 (488 enodes) 1536826587.872 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1536826587.872 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1536826587.873 * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # 1536826587.873 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* PI (* n 2))) (- 1/2 (/ k 2)))) 1536826587.874 * * [misc]simplify: iters left: 6 (14 enodes) 1536826587.881 * * [misc]simplify: iters left: 5 (26 enodes) 1536826587.896 * * [misc]simplify: iters left: 4 (59 enodes) 1536826587.935 * * [misc]simplify: iters left: 3 (164 enodes) 1536826588.025 * * [misc]simplify: iters left: 2 (488 enodes) 1536826588.614 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n)))) 1536826588.614 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (log (* (* PI 2) n))))))) 1536826588.614 * * * * [misc]progress: [ 21 / 120 ] simplifiying candidate # 1536826588.614 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826588.615 * * [misc]simplify: iters left: 6 (14 enodes) 1536826588.619 * * [misc]simplify: iters left: 5 (24 enodes) 1536826588.625 * * [misc]simplify: iters left: 4 (46 enodes) 1536826588.638 * * [misc]simplify: iters left: 3 (103 enodes) 1536826588.684 * * [misc]simplify: iters left: 2 (336 enodes) 1536826589.168 * [exit]simplify: Simplified to (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1536826589.168 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* n (* PI 2))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1536826589.168 * * * * [misc]progress: [ 22 / 120 ] simplifiying candidate # 1536826589.168 * * * * [misc]progress: [ 23 / 120 ] simplifiying candidate # 1536826589.168 * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # 1536826589.168 * [enter]simplify: Simplifying (/ (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826589.170 * * [misc]simplify: iters left: 6 (16 enodes) 1536826589.178 * * [misc]simplify: iters left: 5 (31 enodes) 1536826589.195 * * [misc]simplify: iters left: 4 (70 enodes) 1536826589.229 * * [misc]simplify: iters left: 3 (130 enodes) 1536826589.294 * * [misc]simplify: iters left: 2 (206 enodes) 1536826589.362 * * [misc]simplify: iters left: 1 (288 enodes) 1536826589.554 * [exit]simplify: Simplified to (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2))))) 1536826589.554 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* k (sqrt k)) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))) (* (pow (* (* 2 PI) n) (- 1/2 (/ k 2))) (pow (* (* 2 PI) n) (- 1/2 (/ k 2)))))))) 1536826589.554 * * * * [misc]progress: [ 25 / 120 ] simplifiying candidate # 1536826589.554 * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # 1536826589.554 * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # 1536826589.554 * * * * [misc]progress: [ 28 / 120 ] simplifiying candidate # 1536826589.554 * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # 1536826589.555 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1536826589.557 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.563 * * [misc]simplify: iters left: 5 (19 enodes) 1536826589.571 * * [misc]simplify: iters left: 4 (27 enodes) 1536826589.581 * * [misc]simplify: iters left: 3 (29 enodes) 1536826589.592 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1536826589.592 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826589.592 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826589.593 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.599 * * [misc]simplify: iters left: 5 (18 enodes) 1536826589.605 * * [misc]simplify: iters left: 4 (24 enodes) 1536826589.613 * * [misc]simplify: iters left: 3 (25 enodes) 1536826589.621 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826589.621 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826589.621 * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # 1536826589.622 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2)) 1536826589.623 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.628 * * [misc]simplify: iters left: 5 (19 enodes) 1536826589.635 * * [misc]simplify: iters left: 4 (27 enodes) 1536826589.644 * * [misc]simplify: iters left: 3 (29 enodes) 1536826589.654 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) 1536826589.654 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826589.654 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826589.655 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.658 * * [misc]simplify: iters left: 5 (18 enodes) 1536826589.661 * * [misc]simplify: iters left: 4 (24 enodes) 1536826589.665 * * [misc]simplify: iters left: 3 (25 enodes) 1536826589.669 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826589.670 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* (* n 2) PI))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826589.670 * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # 1536826589.670 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1536826589.670 * * [misc]simplify: iters left: 6 (11 enodes) 1536826589.673 * * [misc]simplify: iters left: 5 (15 enodes) 1536826589.675 * * [misc]simplify: iters left: 4 (20 enodes) 1536826589.680 * * [misc]simplify: iters left: 3 (21 enodes) 1536826589.685 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) 1536826589.685 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826589.686 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826589.686 * * [misc]simplify: iters left: 6 (11 enodes) 1536826589.691 * * [misc]simplify: iters left: 5 (14 enodes) 1536826589.696 * * [misc]simplify: iters left: 4 (17 enodes) 1536826589.702 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826589.702 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2)))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826589.702 * * * * [misc]progress: [ 32 / 120 ] simplifiying candidate # 1536826589.702 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826589.704 * * [misc]simplify: iters left: 6 (16 enodes) 1536826589.711 * * [misc]simplify: iters left: 5 (28 enodes) 1536826589.723 * * [misc]simplify: iters left: 4 (46 enodes) 1536826589.737 * * [misc]simplify: iters left: 3 (50 enodes) 1536826589.752 * * [misc]simplify: iters left: 2 (53 enodes) 1536826589.772 * [exit]simplify: Simplified to (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536826589.773 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826589.773 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826589.775 * * [misc]simplify: iters left: 6 (14 enodes) 1536826589.781 * * [misc]simplify: iters left: 5 (20 enodes) 1536826589.788 * * [misc]simplify: iters left: 4 (29 enodes) 1536826589.797 * * [misc]simplify: iters left: 3 (30 enodes) 1536826589.808 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826589.808 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1536826589.808 * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # 1536826589.808 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826589.812 * * [misc]simplify: iters left: 6 (15 enodes) 1536826589.818 * * [misc]simplify: iters left: 5 (23 enodes) 1536826589.827 * * [misc]simplify: iters left: 4 (34 enodes) 1536826589.837 * * [misc]simplify: iters left: 3 (36 enodes) 1536826589.850 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826589.850 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826589.850 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826589.851 * * [misc]simplify: iters left: 6 (14 enodes) 1536826589.854 * * [misc]simplify: iters left: 5 (20 enodes) 1536826589.859 * * [misc]simplify: iters left: 4 (29 enodes) 1536826589.863 * * [misc]simplify: iters left: 3 (30 enodes) 1536826589.868 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826589.868 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1536826589.868 * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # 1536826589.869 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1536826589.869 * * [misc]simplify: iters left: 6 (6 enodes) 1536826589.870 * * [misc]simplify: iters left: 5 (10 enodes) 1536826589.873 * * [misc]simplify: iters left: 4 (16 enodes) 1536826589.875 * * [misc]simplify: iters left: 3 (18 enodes) 1536826589.877 * * [misc]simplify: iters left: 2 (23 enodes) 1536826589.881 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826589.881 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536826589.881 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826589.882 * * [misc]simplify: iters left: 6 (13 enodes) 1536826589.885 * * [misc]simplify: iters left: 5 (19 enodes) 1536826589.893 * * [misc]simplify: iters left: 4 (28 enodes) 1536826589.902 * * [misc]simplify: iters left: 3 (30 enodes) 1536826589.910 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536826589.910 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826589.910 * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # 1536826589.910 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1536826589.912 * * [misc]simplify: iters left: 6 (11 enodes) 1536826589.915 * * [misc]simplify: iters left: 5 (16 enodes) 1536826589.918 * * [misc]simplify: iters left: 4 (22 enodes) 1536826589.922 * * [misc]simplify: iters left: 3 (23 enodes) 1536826589.925 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1536826589.925 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826589.926 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826589.926 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.930 * * [misc]simplify: iters left: 5 (18 enodes) 1536826589.937 * * [misc]simplify: iters left: 4 (24 enodes) 1536826589.944 * * [misc]simplify: iters left: 3 (25 enodes) 1536826589.953 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826589.953 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826589.953 * * * * [misc]progress: [ 36 / 120 ] simplifiying candidate # 1536826589.954 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2)) 1536826589.954 * * [misc]simplify: iters left: 6 (11 enodes) 1536826589.959 * * [misc]simplify: iters left: 5 (16 enodes) 1536826589.966 * * [misc]simplify: iters left: 4 (22 enodes) 1536826589.972 * * [misc]simplify: iters left: 3 (23 enodes) 1536826589.980 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) 1536826589.980 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826589.980 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826589.981 * * [misc]simplify: iters left: 6 (12 enodes) 1536826589.986 * * [misc]simplify: iters left: 5 (18 enodes) 1536826589.992 * * [misc]simplify: iters left: 4 (24 enodes) 1536826589.999 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.006 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826590.006 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (* (* PI n) 2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2))))))) 1536826590.006 * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # 1536826590.007 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1536826590.007 * * [misc]simplify: iters left: 6 (10 enodes) 1536826590.009 * * [misc]simplify: iters left: 5 (12 enodes) 1536826590.012 * * [misc]simplify: iters left: 4 (15 enodes) 1536826590.014 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow PI (- 1/2 (/ k 2)))) 1536826590.015 * [misc]simplify: Simplified (2 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))))))) 1536826590.015 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.018 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.021 * * [misc]simplify: iters left: 5 (14 enodes) 1536826590.023 * * [misc]simplify: iters left: 4 (17 enodes) 1536826590.026 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.026 * [misc]simplify: Simplified (2 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))))))) 1536826590.026 * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # 1536826590.026 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826590.027 * * [misc]simplify: iters left: 6 (15 enodes) 1536826590.031 * * [misc]simplify: iters left: 5 (23 enodes) 1536826590.035 * * [misc]simplify: iters left: 4 (32 enodes) 1536826590.045 * * [misc]simplify: iters left: 3 (34 enodes) 1536826590.057 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536826590.057 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826590.058 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.059 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.065 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.073 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.082 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.092 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.092 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1536826590.092 * * * * [misc]progress: [ 39 / 120 ] simplifiying candidate # 1536826590.092 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.094 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.099 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.107 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.117 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.127 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.127 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826590.127 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.128 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.136 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.140 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.144 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.150 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.150 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))))) 1536826590.150 * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # 1536826590.150 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1536826590.150 * * [misc]simplify: iters left: 4 (5 enodes) 1536826590.151 * * [misc]simplify: iters left: 3 (7 enodes) 1536826590.153 * * [misc]simplify: iters left: 2 (9 enodes) 1536826590.154 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826590.154 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536826590.154 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.155 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.157 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.162 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.166 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.176 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536826590.176 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826590.176 * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # 1536826590.176 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1536826590.177 * * [misc]simplify: iters left: 6 (9 enodes) 1536826590.180 * * [misc]simplify: iters left: 5 (16 enodes) 1536826590.186 * * [misc]simplify: iters left: 4 (22 enodes) 1536826590.193 * * [misc]simplify: iters left: 3 (23 enodes) 1536826590.200 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1536826590.200 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826590.201 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.202 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.206 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.212 * * [misc]simplify: iters left: 4 (23 enodes) 1536826590.216 * * [misc]simplify: iters left: 3 (24 enodes) 1536826590.220 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536826590.220 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1536826590.220 * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # 1536826590.220 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) 1/2)) 1536826590.220 * * [misc]simplify: iters left: 6 (9 enodes) 1536826590.222 * * [misc]simplify: iters left: 5 (16 enodes) 1536826590.227 * * [misc]simplify: iters left: 4 (22 enodes) 1536826590.231 * * [misc]simplify: iters left: 3 (23 enodes) 1536826590.234 * [exit]simplify: Simplified to (/ 1 (sqrt (* n (* 2 PI)))) 1536826590.234 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2))))))) 1536826590.235 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.235 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.238 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.241 * * [misc]simplify: iters left: 4 (23 enodes) 1536826590.245 * * [misc]simplify: iters left: 3 (24 enodes) 1536826590.251 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536826590.251 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (* n (* 2 PI)))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2))))))) 1536826590.251 * * * * [misc]progress: [ 43 / 120 ] simplifiying candidate # 1536826590.251 * [enter]simplify: Simplifying (/ 1 (pow PI (- 1/2 (/ k 2)))) 1536826590.252 * * [misc]simplify: iters left: 6 (9 enodes) 1536826590.255 * * [misc]simplify: iters left: 5 (13 enodes) 1536826590.260 * * [misc]simplify: iters left: 4 (16 enodes) 1536826590.265 * [exit]simplify: Simplified to (/ 1 (pow PI (- 1/2 (/ k 2)))) 1536826590.265 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826590.265 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.266 * * [misc]simplify: iters left: 6 (10 enodes) 1536826590.269 * * [misc]simplify: iters left: 5 (13 enodes) 1536826590.274 * * [misc]simplify: iters left: 4 (16 enodes) 1536826590.279 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.279 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826590.279 * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # 1536826590.280 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826590.281 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.287 * * [misc]simplify: iters left: 5 (24 enodes) 1536826590.296 * * [misc]simplify: iters left: 4 (33 enodes) 1536826590.306 * * [misc]simplify: iters left: 3 (34 enodes) 1536826590.317 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 (* n PI)) (- 1/2 (/ k 2))))) 1536826590.317 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ (/ 1 (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)))))))) 1536826590.318 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.319 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.324 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.332 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.343 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.354 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.354 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1536826590.354 * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # 1536826590.355 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.356 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.361 * * [misc]simplify: iters left: 5 (21 enodes) 1536826590.366 * * [misc]simplify: iters left: 4 (30 enodes) 1536826590.371 * * [misc]simplify: iters left: 3 (31 enodes) 1536826590.376 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536826590.376 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826590.376 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.377 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.380 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.384 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.389 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.394 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.394 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))))) 1536826590.394 * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # 1536826590.394 * [enter]simplify: Simplifying (/ 1 1) 1536826590.395 * * [misc]simplify: iters left: 2 (2 enodes) 1536826590.395 * * [misc]simplify: iters left: 1 (4 enodes) 1536826590.395 * [exit]simplify: Simplified to 1 1536826590.395 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536826590.396 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.396 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.399 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.403 * * [misc]simplify: iters left: 4 (27 enodes) 1536826590.407 * * [misc]simplify: iters left: 3 (29 enodes) 1536826590.412 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.412 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* 1 (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) 1536826590.412 * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # 1536826590.412 * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # 1536826590.412 * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # 1536826590.412 * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # 1536826590.413 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826590.413 * * [misc]simplify: iters left: 5 (9 enodes) 1536826590.415 * * [misc]simplify: iters left: 4 (15 enodes) 1536826590.418 * * [misc]simplify: iters left: 3 (21 enodes) 1536826590.423 * * [misc]simplify: iters left: 2 (22 enodes) 1536826590.427 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826590.427 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.427 * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # 1536826590.427 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826590.427 * * [misc]simplify: iters left: 5 (9 enodes) 1536826590.430 * * [misc]simplify: iters left: 4 (15 enodes) 1536826590.433 * * [misc]simplify: iters left: 3 (21 enodes) 1536826590.437 * * [misc]simplify: iters left: 2 (22 enodes) 1536826590.440 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826590.440 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.440 * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # 1536826590.440 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536826590.441 * * [misc]simplify: iters left: 5 (8 enodes) 1536826590.443 * * [misc]simplify: iters left: 4 (11 enodes) 1536826590.445 * * [misc]simplify: iters left: 3 (14 enodes) 1536826590.447 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536826590.447 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow PI (- 1/2 (/ k 2)))) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826590.447 * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # 1536826590.447 * [enter]simplify: Simplifying (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.448 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.450 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.454 * * [misc]simplify: iters left: 4 (26 enodes) 1536826590.458 * * [misc]simplify: iters left: 3 (27 enodes) 1536826590.462 * [exit]simplify: Simplified to (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536826590.462 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.462 * * * * [misc]progress: [ 54 / 120 ] simplifiying candidate # 1536826590.463 * [enter]simplify: Simplifying (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.463 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.466 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.469 * * [misc]simplify: iters left: 4 (26 enodes) 1536826590.474 * * [misc]simplify: iters left: 3 (27 enodes) 1536826590.478 * [exit]simplify: Simplified to (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2)))) 1536826590.478 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.478 * * * * [misc]progress: [ 55 / 120 ] simplifiying candidate # 1536826590.478 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826590.479 * * [misc]simplify: iters left: 5 (10 enodes) 1536826590.481 * * [misc]simplify: iters left: 4 (16 enodes) 1536826590.486 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.494 * * [misc]simplify: iters left: 2 (26 enodes) 1536826590.505 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826590.505 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (/ (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536826590.505 * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # 1536826590.505 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826590.506 * * [misc]simplify: iters left: 4 (4 enodes) 1536826590.508 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826590.508 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (cbrt (sqrt k)))))) 1536826590.508 * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # 1536826590.508 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536826590.508 * * [misc]simplify: iters left: 2 (3 enodes) 1536826590.509 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826590.509 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt (sqrt k)) (/ (pow (* PI (* n 2)) (- 1/2 (/ k 2))) (sqrt (sqrt k)))))) 1536826590.509 * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # 1536826590.509 * * * * [misc]progress: [ 59 / 120 ] simplifiying candidate # 1536826590.510 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826590.510 * * [misc]simplify: iters left: 5 (8 enodes) 1536826590.514 * * [misc]simplify: iters left: 4 (12 enodes) 1536826590.519 * * [misc]simplify: iters left: 3 (18 enodes) 1536826590.525 * * [misc]simplify: iters left: 2 (20 enodes) 1536826590.530 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826590.530 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ (sqrt k) (pow (* PI (* n 2)) 1/2)) (pow (* (* 2 n) PI) (/ k 2))))) 1536826590.530 * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # 1536826590.530 * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # 1536826590.530 * [enter]simplify: Simplifying (- 1) 1536826590.530 * * [misc]simplify: iters left: 2 (2 enodes) 1536826590.531 * * [misc]simplify: iters left: 1 (5 enodes) 1536826590.532 * [exit]simplify: Simplified to -1 1536826590.532 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) -1)) 1536826590.532 * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 76 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 80 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # 1536826590.532 * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # 1536826590.533 * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # 1536826590.533 * * * * [misc]progress: [ 84 / 120 ] simplifiying candidate # 1536826590.533 * * * * [misc]progress: [ 85 / 120 ] simplifiying candidate # 1536826590.533 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.534 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.537 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.541 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.545 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.550 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.550 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (* (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826590.550 * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # 1536826590.551 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.551 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.555 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.559 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.563 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.568 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.568 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ (sqrt k) (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826590.568 * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # 1536826590.568 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.569 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.572 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.576 * * [misc]simplify: iters left: 4 (24 enodes) 1536826590.580 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.584 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826590.584 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.584 * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # 1536826590.585 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.587 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.589 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.593 * * [misc]simplify: iters left: 4 (24 enodes) 1536826590.597 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.602 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826590.602 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* PI (* n 2)) 1/2))) (/ (cbrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.602 * * * * [misc]progress: [ 89 / 120 ] simplifiying candidate # 1536826590.602 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.602 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.605 * * [misc]simplify: iters left: 5 (14 enodes) 1536826590.607 * * [misc]simplify: iters left: 4 (17 enodes) 1536826590.610 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.610 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow PI (- 1/2 (/ k 2))))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826590.610 * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # 1536826590.610 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.611 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.614 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.619 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.623 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.628 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.628 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (cbrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.628 * * * * [misc]progress: [ 91 / 120 ] simplifiying candidate # 1536826590.628 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.629 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.632 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.637 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.641 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.649 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.649 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (cbrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.650 * * * * [misc]progress: [ 92 / 120 ] simplifiying candidate # 1536826590.650 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.651 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.656 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.666 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.675 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.685 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536826590.685 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1536826590.685 * * * * [misc]progress: [ 93 / 120 ] simplifiying candidate # 1536826590.685 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.687 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.692 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.698 * * [misc]simplify: iters left: 4 (24 enodes) 1536826590.706 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.715 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826590.715 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.715 * * * * [misc]progress: [ 94 / 120 ] simplifiying candidate # 1536826590.715 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.716 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.722 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.728 * * [misc]simplify: iters left: 4 (24 enodes) 1536826590.736 * * [misc]simplify: iters left: 3 (25 enodes) 1536826590.744 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))) 1536826590.744 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) 1/2))) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2) (- (/ k 2)))))) 1536826590.745 * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # 1536826590.745 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.746 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.750 * * [misc]simplify: iters left: 5 (14 enodes) 1536826590.755 * * [misc]simplify: iters left: 4 (17 enodes) 1536826590.761 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.761 * [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)))))) 1536826590.761 * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # 1536826590.761 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.762 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.768 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.776 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.785 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.796 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.796 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt (sqrt k)) (cbrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.798 * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # 1536826590.798 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.799 * * [misc]simplify: iters left: 6 (14 enodes) 1536826590.805 * * [misc]simplify: iters left: 5 (20 enodes) 1536826590.813 * * [misc]simplify: iters left: 4 (29 enodes) 1536826590.819 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.824 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))) 1536826590.824 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt (sqrt k)) (sqrt (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826590.824 * * * * [misc]progress: [ 98 / 120 ] simplifiying candidate # 1536826590.824 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.825 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.828 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.832 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.838 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.849 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))) 1536826590.849 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* 2 (* PI n)) (- 1/2 (/ k 2)))))) 1536826590.849 * * * * [misc]progress: [ 99 / 120 ] simplifiying candidate # 1536826590.849 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.850 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.855 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.861 * * [misc]simplify: iters left: 4 (23 enodes) 1536826590.866 * * [misc]simplify: iters left: 3 (24 enodes) 1536826590.870 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536826590.870 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1536826590.870 * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # 1536826590.870 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- (/ k 2)))) 1536826590.871 * * [misc]simplify: iters left: 6 (11 enodes) 1536826590.874 * * [misc]simplify: iters left: 5 (17 enodes) 1536826590.877 * * [misc]simplify: iters left: 4 (23 enodes) 1536826590.881 * * [misc]simplify: iters left: 3 (24 enodes) 1536826590.885 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))) 1536826590.885 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow (* PI (* n 2)) 1/2))) (/ (sqrt k) (pow (* 2 (* PI n)) (- (/ k 2)))))) 1536826590.885 * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # 1536826590.886 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.886 * * [misc]simplify: iters left: 6 (10 enodes) 1536826590.889 * * [misc]simplify: iters left: 5 (13 enodes) 1536826590.892 * * [misc]simplify: iters left: 4 (16 enodes) 1536826590.894 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826590.894 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826590.895 * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # 1536826590.895 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.895 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.898 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.902 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.910 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.920 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.920 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (* (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (cbrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (/ (sqrt k) (cbrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826590.920 * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # 1536826590.920 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826590.921 * * [misc]simplify: iters left: 6 (13 enodes) 1536826590.927 * * [misc]simplify: iters left: 5 (19 enodes) 1536826590.935 * * [misc]simplify: iters left: 4 (28 enodes) 1536826590.944 * * [misc]simplify: iters left: 3 (30 enodes) 1536826590.954 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))) 1536826590.954 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 (sqrt (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (/ (sqrt k) (sqrt (pow (* 2 (* PI n)) (- 1/2 (/ k 2))))))) 1536826590.954 * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # 1536826590.954 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.956 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.961 * * [misc]simplify: iters left: 5 (18 enodes) 1536826590.968 * * [misc]simplify: iters left: 4 (27 enodes) 1536826590.976 * * [misc]simplify: iters left: 3 (29 enodes) 1536826590.986 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.986 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ 1 1)) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826590.986 * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # 1536826590.986 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826590.987 * * [misc]simplify: iters left: 6 (12 enodes) 1536826590.993 * * [misc]simplify: iters left: 5 (18 enodes) 1536826591.000 * * [misc]simplify: iters left: 4 (27 enodes) 1536826591.011 * * [misc]simplify: iters left: 3 (29 enodes) 1536826591.020 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826591.020 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 1) (/ (sqrt k) (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826591.021 * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # 1536826591.021 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826591.022 * * [misc]simplify: iters left: 6 (12 enodes) 1536826591.027 * * [misc]simplify: iters left: 5 (20 enodes) 1536826591.035 * * [misc]simplify: iters left: 4 (29 enodes) 1536826591.039 * * [misc]simplify: iters left: 3 (30 enodes) 1536826591.045 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536826591.045 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1536826591.045 * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # 1536826591.045 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826591.045 * * [misc]simplify: iters left: 5 (8 enodes) 1536826591.047 * * [misc]simplify: iters left: 4 (12 enodes) 1536826591.050 * * [misc]simplify: iters left: 3 (18 enodes) 1536826591.053 * * [misc]simplify: iters left: 2 (20 enodes) 1536826591.056 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826591.056 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (/ (sqrt k) (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2)))) 1536826591.056 * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # 1536826591.056 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826591.057 * * [misc]simplify: iters left: 5 (10 enodes) 1536826591.059 * * [misc]simplify: iters left: 4 (16 enodes) 1536826591.062 * * [misc]simplify: iters left: 3 (25 enodes) 1536826591.069 * * [misc]simplify: iters left: 2 (26 enodes) 1536826591.077 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826591.078 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536826591.078 * * * * [misc]progress: [ 109 / 120 ] simplifiying candidate # 1536826591.078 * [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))))) 1536826591.082 * * [misc]simplify: iters left: 6 (37 enodes) 1536826591.108 * * [misc]simplify: iters left: 5 (105 enodes) 1536826591.176 * * [misc]simplify: iters left: 4 (339 enodes) 1536826591.658 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1536826591.658 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4)))))))) 1536826591.658 * * * * [misc]progress: [ 110 / 120 ] simplifiying candidate # 1536826591.658 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536826591.660 * * [misc]simplify: iters left: 6 (15 enodes) 1536826591.670 * * [misc]simplify: iters left: 5 (33 enodes) 1536826591.686 * * [misc]simplify: iters left: 4 (64 enodes) 1536826591.710 * * [misc]simplify: iters left: 3 (171 enodes) 1536826591.897 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1536826591.897 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k))))))) 1536826591.898 * * * * [misc]progress: [ 111 / 120 ] simplifiying candidate # 1536826591.898 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536826591.899 * * [misc]simplify: iters left: 6 (15 enodes) 1536826591.908 * * [misc]simplify: iters left: 5 (30 enodes) 1536826591.919 * * [misc]simplify: iters left: 4 (65 enodes) 1536826591.944 * * [misc]simplify: iters left: 3 (200 enodes) 1536826592.191 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1536826592.191 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n))))))) 1536826592.191 * * * * [misc]progress: [ 112 / 120 ] simplifiying candidate # 1536826592.191 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1536826592.191 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826592.192 * * * * [misc]progress: [ 113 / 120 ] simplifiying candidate # 1536826592.192 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1536826592.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826592.192 * * * * [misc]progress: [ 114 / 120 ] simplifiying candidate # 1536826592.192 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1536826592.192 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826592.192 * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # 1536826592.192 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826592.193 * * [misc]simplify: iters left: 4 (5 enodes) 1536826592.196 * * [misc]simplify: iters left: 3 (9 enodes) 1536826592.200 * * [misc]simplify: iters left: 2 (15 enodes) 1536826592.205 * * [misc]simplify: iters left: 1 (17 enodes) 1536826592.210 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826592.211 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536826592.211 * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # 1536826592.211 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826592.211 * * [misc]simplify: iters left: 4 (5 enodes) 1536826592.214 * * [misc]simplify: iters left: 3 (9 enodes) 1536826592.218 * * [misc]simplify: iters left: 2 (15 enodes) 1536826592.223 * * [misc]simplify: iters left: 1 (17 enodes) 1536826592.228 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826592.228 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536826592.228 * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # 1536826592.229 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826592.229 * * [misc]simplify: iters left: 4 (5 enodes) 1536826592.232 * * [misc]simplify: iters left: 3 (9 enodes) 1536826592.236 * * [misc]simplify: iters left: 2 (15 enodes) 1536826592.241 * * [misc]simplify: iters left: 1 (17 enodes) 1536826592.247 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826592.247 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* PI n) 2) (- 1/2 (/ k 2)))))) 1536826592.247 * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # 1536826592.247 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1536826592.247 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826592.247 * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # 1536826592.247 * [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)))))))) 1536826592.248 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826592.248 * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # 1536826592.248 * [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))))))))))) 1536826592.248 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826592.248 * * * [misc]progress: adding candidates to table 1536826595.039 * * [misc]progress: iteration 3 / 4 1536826595.039 * * * [misc]progress: picking best candidate 1536826595.174 * * * * [misc]pick: Picked # 1536826595.174 * * * [misc]progress: localizing error 1536826595.195 * * * [misc]progress: generating rewritten candidates 1536826595.195 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 2 2) 1536826595.230 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2 1) 1536826595.256 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) 1536826595.333 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) 1536826595.434 * * * [misc]progress: generating series expansions 1536826595.434 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2 2) 1536826595.434 * [misc]backup-simplify: Simplify (pow (* PI (* n 2)) (- 1/2 (/ k 2))) into (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) 1536826595.434 * [misc]approximate: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in (n k) around 0 1536826595.434 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826595.434 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826595.434 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826595.434 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826595.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.434 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826595.434 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.434 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.434 * [misc]taylor: Taking taylor expansion of k in k 1536826595.434 * [misc]backup-simplify: Simplify 0 into 0 1536826595.434 * [misc]backup-simplify: Simplify 1 into 1 1536826595.434 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826595.435 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826595.435 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.435 * [misc]backup-simplify: Simplify 2 into 2 1536826595.435 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826595.435 * [misc]taylor: Taking taylor expansion of n in k 1536826595.435 * [misc]backup-simplify: Simplify n into n 1536826595.435 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.435 * [misc]backup-simplify: Simplify PI into PI 1536826595.435 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826595.435 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826595.435 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826595.435 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826595.435 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.435 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.436 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826595.436 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826595.436 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.436 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.436 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.436 * [misc]taylor: Taking taylor expansion of k in n 1536826595.436 * [misc]backup-simplify: Simplify k into k 1536826595.436 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.436 * [misc]backup-simplify: Simplify 2 into 2 1536826595.436 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.436 * [misc]taylor: Taking taylor expansion of n in n 1536826595.436 * [misc]backup-simplify: Simplify 0 into 0 1536826595.436 * [misc]backup-simplify: Simplify 1 into 1 1536826595.436 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.436 * [misc]backup-simplify: Simplify PI into PI 1536826595.436 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.436 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826595.437 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.437 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826595.438 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.438 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826595.438 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826595.438 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826595.438 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.439 * [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)))) 1536826595.439 * [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))))) 1536826595.439 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826595.439 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826595.439 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826595.439 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826595.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.439 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826595.439 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.439 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.439 * [misc]taylor: Taking taylor expansion of k in n 1536826595.439 * [misc]backup-simplify: Simplify k into k 1536826595.440 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826595.440 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.440 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.440 * [misc]backup-simplify: Simplify 2 into 2 1536826595.440 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.440 * [misc]taylor: Taking taylor expansion of n in n 1536826595.440 * [misc]backup-simplify: Simplify 0 into 0 1536826595.440 * [misc]backup-simplify: Simplify 1 into 1 1536826595.440 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.440 * [misc]backup-simplify: Simplify PI into PI 1536826595.440 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.440 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826595.440 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.441 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826595.441 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.441 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826595.441 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826595.441 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826595.442 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.442 * [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)))) 1536826595.443 * [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))))) 1536826595.443 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.443 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.443 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.443 * [misc]taylor: Taking taylor expansion of k in k 1536826595.443 * [misc]backup-simplify: Simplify 0 into 0 1536826595.443 * [misc]backup-simplify: Simplify 1 into 1 1536826595.443 * [misc]taylor: Taking taylor expansion of (+ (log n) (log (* 2 PI))) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of n in k 1536826595.443 * [misc]backup-simplify: Simplify n into n 1536826595.443 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826595.443 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826595.443 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.443 * [misc]backup-simplify: Simplify 2 into 2 1536826595.443 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.443 * [misc]backup-simplify: Simplify PI into PI 1536826595.444 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.444 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.444 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826595.445 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.445 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.445 * [misc]backup-simplify: Simplify (+ (log n) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.446 * [misc]backup-simplify: Simplify (* 1/2 (+ (log n) (log (* 2 PI)))) into (* 1/2 (+ (log n) (log (* 2 PI)))) 1536826595.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826595.447 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log n) (log (* 2 PI))))) into (exp (* 1/2 (+ (log n) (log (* 2 PI))))) 1536826595.449 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826595.450 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826595.459 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826595.459 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536826595.459 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.460 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.460 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.461 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826595.463 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI))))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826595.463 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.463 * [misc]backup-simplify: Simplify 0 into 0 1536826595.463 * [misc]backup-simplify: Simplify 0 into 0 1536826595.464 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536826595.465 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826595.468 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826595.468 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.469 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826595.469 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.469 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.470 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (+ (log n) (log (* 2 PI))))) into (- (+ (* 1/2 (log (* 2 PI))) (* 1/2 (log n)))) 1536826595.472 * [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))))))) 1536826595.474 * [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))))))) 1536826595.475 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.477 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826595.483 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 PI) 1)))) 2) into 0 1536826595.484 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536826595.484 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.484 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.485 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.486 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826595.488 * [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 1536826595.488 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.489 * [misc]backup-simplify: Simplify 0 into 0 1536826595.489 * [misc]backup-simplify: Simplify 0 into 0 1536826595.489 * [misc]backup-simplify: Simplify 0 into 0 1536826595.491 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536826595.492 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.499 * [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 1536826595.499 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.499 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826595.499 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.500 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.501 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (+ (log n) (log (* 2 PI)))))) into 0 1536826595.504 * [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))))) 1536826595.509 * [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))))) 1536826595.518 * [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))))) 1536826595.518 * [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)))) 1536826595.518 * [misc]approximate: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536826595.518 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826595.518 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826595.518 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.519 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.519 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.519 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of k in k 1536826595.519 * [misc]backup-simplify: Simplify 0 into 0 1536826595.519 * [misc]backup-simplify: Simplify 1 into 1 1536826595.519 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.519 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.519 * [misc]backup-simplify: Simplify 2 into 2 1536826595.519 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.519 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.519 * [misc]backup-simplify: Simplify PI into PI 1536826595.519 * [misc]taylor: Taking taylor expansion of n in k 1536826595.519 * [misc]backup-simplify: Simplify n into n 1536826595.519 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.519 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826595.520 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826595.520 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.520 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.520 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.520 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826595.521 * [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)))) 1536826595.521 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.521 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.521 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.521 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of k in n 1536826595.521 * [misc]backup-simplify: Simplify k into k 1536826595.521 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.521 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.521 * [misc]backup-simplify: Simplify 2 into 2 1536826595.521 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.521 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.521 * [misc]backup-simplify: Simplify PI into PI 1536826595.521 * [misc]taylor: Taking taylor expansion of n in n 1536826595.521 * [misc]backup-simplify: Simplify 0 into 0 1536826595.521 * [misc]backup-simplify: Simplify 1 into 1 1536826595.522 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.522 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.523 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.523 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.523 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.523 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.524 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.525 * [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))) 1536826595.525 * [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)))) 1536826595.525 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.525 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.525 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.526 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.526 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.526 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of k in n 1536826595.526 * [misc]backup-simplify: Simplify k into k 1536826595.526 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.526 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.526 * [misc]backup-simplify: Simplify 2 into 2 1536826595.526 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.526 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.526 * [misc]backup-simplify: Simplify PI into PI 1536826595.526 * [misc]taylor: Taking taylor expansion of n in n 1536826595.526 * [misc]backup-simplify: Simplify 0 into 0 1536826595.526 * [misc]backup-simplify: Simplify 1 into 1 1536826595.526 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.527 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.527 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.527 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.527 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.528 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.528 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.529 * [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))) 1536826595.530 * [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)))) 1536826595.530 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) in k 1536826595.530 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))) in k 1536826595.530 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826595.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.530 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.530 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.530 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.530 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.530 * [misc]taylor: Taking taylor expansion of k in k 1536826595.530 * [misc]backup-simplify: Simplify 0 into 0 1536826595.530 * [misc]backup-simplify: Simplify 1 into 1 1536826595.531 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.531 * [misc]taylor: Taking taylor expansion of (- (log (* 2 PI)) (log n)) in k 1536826595.531 * [misc]taylor: Taking taylor expansion of (log (* 2 PI)) in k 1536826595.531 * [misc]taylor: Taking taylor expansion of (* 2 PI) in k 1536826595.531 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.531 * [misc]backup-simplify: Simplify 2 into 2 1536826595.531 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.531 * [misc]backup-simplify: Simplify PI into PI 1536826595.531 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.532 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.532 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826595.532 * [misc]taylor: Taking taylor expansion of n in k 1536826595.532 * [misc]backup-simplify: Simplify n into n 1536826595.532 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826595.532 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.532 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.532 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.532 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826595.533 * [misc]backup-simplify: Simplify (+ (log (* 2 PI)) (- (log n))) into (- (log (* 2 PI)) (log n)) 1536826595.534 * [misc]backup-simplify: Simplify (* -1/2 (- (log (* 2 PI)) (log n))) into (* -1/2 (- (log (* 2 PI)) (log n))) 1536826595.534 * [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)))) 1536826595.535 * [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)))) 1536826595.536 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.537 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826595.541 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826595.541 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826595.541 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826595.541 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.541 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.542 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.543 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826595.545 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826595.545 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.545 * [misc]backup-simplify: Simplify 0 into 0 1536826595.545 * [misc]backup-simplify: Simplify 0 into 0 1536826595.545 * [misc]backup-simplify: Simplify 0 into 0 1536826595.546 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.548 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.554 * [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 1536826595.554 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826595.554 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826595.555 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.555 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.556 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.557 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n))))) into 0 1536826595.560 * [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 1536826595.560 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.560 * [misc]backup-simplify: Simplify 0 into 0 1536826595.560 * [misc]backup-simplify: Simplify 0 into 0 1536826595.560 * [misc]backup-simplify: Simplify 0 into 0 1536826595.560 * [misc]backup-simplify: Simplify 0 into 0 1536826595.562 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.564 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.573 * [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 1536826595.574 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826595.574 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826595.574 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.575 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.575 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.576 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2 PI)) (log n)))))) into 0 1536826595.580 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1536826595.581 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.581 * [misc]backup-simplify: Simplify 0 into 0 1536826595.581 * [misc]backup-simplify: Simplify 0 into 0 1536826595.581 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))) into (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536826595.582 * [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)) 1536826595.582 * [misc]approximate: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536826595.582 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.582 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of k in k 1536826595.582 * [misc]backup-simplify: Simplify 0 into 0 1536826595.582 * [misc]backup-simplify: Simplify 1 into 1 1536826595.582 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.582 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.582 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.582 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826595.582 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826595.583 * [misc]taylor: Taking taylor expansion of -2 in k 1536826595.583 * [misc]backup-simplify: Simplify -2 into -2 1536826595.583 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.583 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.583 * [misc]backup-simplify: Simplify PI into PI 1536826595.583 * [misc]taylor: Taking taylor expansion of n in k 1536826595.583 * [misc]backup-simplify: Simplify n into n 1536826595.583 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.583 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826595.583 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826595.583 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.583 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.584 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826595.584 * [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))) 1536826595.584 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.584 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.584 * [misc]taylor: Taking taylor expansion of k in n 1536826595.584 * [misc]backup-simplify: Simplify k into k 1536826595.584 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.584 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.584 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.585 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.585 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.585 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.585 * [misc]backup-simplify: Simplify -2 into -2 1536826595.585 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.585 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.585 * [misc]backup-simplify: Simplify PI into PI 1536826595.585 * [misc]taylor: Taking taylor expansion of n in n 1536826595.585 * [misc]backup-simplify: Simplify 0 into 0 1536826595.585 * [misc]backup-simplify: Simplify 1 into 1 1536826595.585 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.586 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.586 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.586 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.586 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.587 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.588 * [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))) 1536826595.589 * [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)))) 1536826595.589 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.589 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of k in n 1536826595.589 * [misc]backup-simplify: Simplify k into k 1536826595.589 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.589 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.589 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.589 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.589 * [misc]backup-simplify: Simplify -2 into -2 1536826595.589 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.589 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.589 * [misc]backup-simplify: Simplify PI into PI 1536826595.589 * [misc]taylor: Taking taylor expansion of n in n 1536826595.589 * [misc]backup-simplify: Simplify 0 into 0 1536826595.590 * [misc]backup-simplify: Simplify 1 into 1 1536826595.590 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.590 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.591 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.591 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.591 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.592 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.592 * [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))) 1536826595.593 * [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)))) 1536826595.593 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) in k 1536826595.593 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) in k 1536826595.593 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826595.593 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.593 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.593 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.593 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.594 * [misc]taylor: Taking taylor expansion of k in k 1536826595.594 * [misc]backup-simplify: Simplify 0 into 0 1536826595.594 * [misc]backup-simplify: Simplify 1 into 1 1536826595.594 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.594 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.594 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.594 * [misc]taylor: Taking taylor expansion of (- (log (* -2 PI)) (log n)) in k 1536826595.594 * [misc]taylor: Taking taylor expansion of (log (* -2 PI)) in k 1536826595.594 * [misc]taylor: Taking taylor expansion of (* -2 PI) in k 1536826595.594 * [misc]taylor: Taking taylor expansion of -2 in k 1536826595.594 * [misc]backup-simplify: Simplify -2 into -2 1536826595.594 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.594 * [misc]backup-simplify: Simplify PI into PI 1536826595.594 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.595 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.595 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826595.595 * [misc]taylor: Taking taylor expansion of n in k 1536826595.595 * [misc]backup-simplify: Simplify n into n 1536826595.595 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826595.595 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.596 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.596 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826595.596 * [misc]backup-simplify: Simplify (+ (log (* -2 PI)) (- (log n))) into (- (log (* -2 PI)) (log n)) 1536826595.597 * [misc]backup-simplify: Simplify (* 1/2 (- (log (* -2 PI)) (log n))) into (* 1/2 (- (log (* -2 PI)) (log n))) 1536826595.598 * [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)))) 1536826595.598 * [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)))) 1536826595.600 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.600 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826595.604 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826595.604 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826595.604 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826595.605 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.605 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.606 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log (* -2 PI)) (log n)))) into 0 1536826595.608 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826595.608 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.608 * [misc]backup-simplify: Simplify 0 into 0 1536826595.608 * [misc]backup-simplify: Simplify 0 into 0 1536826595.608 * [misc]backup-simplify: Simplify 0 into 0 1536826595.610 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.612 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.620 * [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 1536826595.620 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826595.621 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826595.621 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.621 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.622 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n))))) into 0 1536826595.623 * [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 1536826595.624 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.624 * [misc]backup-simplify: Simplify 0 into 0 1536826595.624 * [misc]backup-simplify: Simplify 0 into 0 1536826595.624 * [misc]backup-simplify: Simplify 0 into 0 1536826595.624 * [misc]backup-simplify: Simplify 0 into 0 1536826595.625 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.626 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.632 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2 PI) 1)))) 6) into 0 1536826595.632 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826595.632 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826595.632 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.633 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.634 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2 PI)) (log n)))))) into 0 1536826595.636 * [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 1536826595.636 * [misc]taylor: Taking taylor expansion of 0 in k 1536826595.636 * [misc]backup-simplify: Simplify 0 into 0 1536826595.636 * [misc]backup-simplify: Simplify 0 into 0 1536826595.637 * [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))))) 1536826595.637 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2 1) 1536826595.637 * [misc]backup-simplify: Simplify (* PI (* n 2)) into (* 2 (* n PI)) 1536826595.637 * [misc]approximate: Taking taylor expansion of (* 2 (* n PI)) in (n) around 0 1536826595.637 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.637 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.637 * [misc]backup-simplify: Simplify 2 into 2 1536826595.637 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.637 * [misc]taylor: Taking taylor expansion of n in n 1536826595.637 * [misc]backup-simplify: Simplify 0 into 0 1536826595.637 * [misc]backup-simplify: Simplify 1 into 1 1536826595.637 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.637 * [misc]backup-simplify: Simplify PI into PI 1536826595.637 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.637 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.637 * [misc]backup-simplify: Simplify 2 into 2 1536826595.637 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.637 * [misc]taylor: Taking taylor expansion of n in n 1536826595.637 * [misc]backup-simplify: Simplify 0 into 0 1536826595.637 * [misc]backup-simplify: Simplify 1 into 1 1536826595.637 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.637 * [misc]backup-simplify: Simplify PI into PI 1536826595.638 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.638 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826595.638 * [misc]backup-simplify: Simplify 0 into 0 1536826595.638 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.639 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826595.639 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.640 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826595.641 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826595.641 * [misc]backup-simplify: Simplify 0 into 0 1536826595.642 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.643 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 1536826595.643 * [misc]backup-simplify: Simplify 0 into 0 1536826595.644 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826595.646 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 1536826595.646 * [misc]backup-simplify: Simplify 0 into 0 1536826595.648 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826595.650 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 1536826595.651 * [misc]backup-simplify: Simplify 0 into 0 1536826595.654 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826595.658 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 1536826595.658 * [misc]backup-simplify: Simplify 0 into 0 1536826595.662 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 1536826595.666 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 1536826595.666 * [misc]backup-simplify: Simplify 0 into 0 1536826595.667 * [misc]backup-simplify: Simplify (* (* 2 PI) n) into (* 2 (* n PI)) 1536826595.667 * [misc]backup-simplify: Simplify (* PI (* (/ 1 n) 2)) into (* 2 (/ PI n)) 1536826595.667 * [misc]approximate: Taking taylor expansion of (* 2 (/ PI n)) in (n) around 0 1536826595.667 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.667 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.667 * [misc]backup-simplify: Simplify 2 into 2 1536826595.667 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.667 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.667 * [misc]backup-simplify: Simplify PI into PI 1536826595.667 * [misc]taylor: Taking taylor expansion of n in n 1536826595.667 * [misc]backup-simplify: Simplify 0 into 0 1536826595.667 * [misc]backup-simplify: Simplify 1 into 1 1536826595.668 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.668 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.668 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.668 * [misc]backup-simplify: Simplify 2 into 2 1536826595.668 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.668 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.668 * [misc]backup-simplify: Simplify PI into PI 1536826595.668 * [misc]taylor: Taking taylor expansion of n in n 1536826595.668 * [misc]backup-simplify: Simplify 0 into 0 1536826595.668 * [misc]backup-simplify: Simplify 1 into 1 1536826595.668 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.669 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.669 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.671 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.671 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826595.671 * [misc]backup-simplify: Simplify 0 into 0 1536826595.673 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.674 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.674 * [misc]backup-simplify: Simplify 0 into 0 1536826595.676 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.677 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.677 * [misc]backup-simplify: Simplify 0 into 0 1536826595.679 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.681 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826595.681 * [misc]backup-simplify: Simplify 0 into 0 1536826595.684 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.687 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826595.687 * [misc]backup-simplify: Simplify 0 into 0 1536826595.689 * [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 1536826595.693 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826595.693 * [misc]backup-simplify: Simplify 0 into 0 1536826595.693 * [misc]backup-simplify: Simplify (* (* 2 PI) (/ 1 (/ 1 n))) into (* 2 (* n PI)) 1536826595.693 * [misc]backup-simplify: Simplify (* PI (* (/ 1 (- n)) 2)) into (* -2 (/ PI n)) 1536826595.693 * [misc]approximate: Taking taylor expansion of (* -2 (/ PI n)) in (n) around 0 1536826595.693 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.693 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.693 * [misc]backup-simplify: Simplify -2 into -2 1536826595.693 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.693 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.694 * [misc]backup-simplify: Simplify PI into PI 1536826595.694 * [misc]taylor: Taking taylor expansion of n in n 1536826595.694 * [misc]backup-simplify: Simplify 0 into 0 1536826595.694 * [misc]backup-simplify: Simplify 1 into 1 1536826595.694 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.694 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.694 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.694 * [misc]backup-simplify: Simplify -2 into -2 1536826595.694 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.694 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.694 * [misc]backup-simplify: Simplify PI into PI 1536826595.694 * [misc]taylor: Taking taylor expansion of n in n 1536826595.694 * [misc]backup-simplify: Simplify 0 into 0 1536826595.694 * [misc]backup-simplify: Simplify 1 into 1 1536826595.695 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.695 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.695 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.697 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.697 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826595.697 * [misc]backup-simplify: Simplify 0 into 0 1536826595.699 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.700 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.700 * [misc]backup-simplify: Simplify 0 into 0 1536826595.702 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.703 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826595.703 * [misc]backup-simplify: Simplify 0 into 0 1536826595.705 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.707 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 1536826595.708 * [misc]backup-simplify: Simplify 0 into 0 1536826595.710 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.713 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 1536826595.713 * [misc]backup-simplify: Simplify 0 into 0 1536826595.715 * [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 1536826595.719 * [misc]backup-simplify: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 1536826595.719 * [misc]backup-simplify: Simplify 0 into 0 1536826595.719 * [misc]backup-simplify: Simplify (* (* -2 PI) (/ 1 (/ 1 (- n)))) into (* 2 (* n PI)) 1536826595.720 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) 1536826595.721 * [misc]backup-simplify: Simplify (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) into (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) 1536826595.721 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536826595.721 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.721 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.721 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.721 * [misc]taylor: Taking taylor expansion of k in n 1536826595.721 * [misc]backup-simplify: Simplify k into k 1536826595.721 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.721 * [misc]backup-simplify: Simplify 2 into 2 1536826595.721 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.721 * [misc]taylor: Taking taylor expansion of n in n 1536826595.721 * [misc]backup-simplify: Simplify 0 into 0 1536826595.721 * [misc]backup-simplify: Simplify 1 into 1 1536826595.721 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.721 * [misc]backup-simplify: Simplify PI into PI 1536826595.722 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.722 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826595.723 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.724 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826595.724 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.724 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826595.724 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826595.725 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826595.725 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.726 * [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)))) 1536826595.727 * [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))))) 1536826595.728 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) into (/ 1 (exp (* (- 1/2 (* 1/2 k)) (+ (log n) (log (* 2 PI)))))) 1536826595.728 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826595.728 * [misc]taylor: Taking taylor expansion of k in n 1536826595.728 * [misc]backup-simplify: Simplify k into k 1536826595.728 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826595.728 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826595.728 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.728 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.728 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.728 * [misc]taylor: Taking taylor expansion of k in k 1536826595.728 * [misc]backup-simplify: Simplify 0 into 0 1536826595.728 * [misc]backup-simplify: Simplify 1 into 1 1536826595.728 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826595.728 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.728 * [misc]backup-simplify: Simplify 2 into 2 1536826595.728 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826595.729 * [misc]taylor: Taking taylor expansion of n in k 1536826595.729 * [misc]backup-simplify: Simplify n into n 1536826595.729 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.729 * [misc]backup-simplify: Simplify PI into PI 1536826595.729 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826595.729 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826595.729 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826595.729 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826595.729 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.730 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.730 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826595.730 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826595.730 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536826595.730 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826595.730 * [misc]taylor: Taking taylor expansion of k in k 1536826595.730 * [misc]backup-simplify: Simplify 0 into 0 1536826595.731 * [misc]backup-simplify: Simplify 1 into 1 1536826595.731 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.731 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826595.731 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826595.731 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.731 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.732 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826595.732 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.732 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.732 * [misc]taylor: Taking taylor expansion of k in k 1536826595.732 * [misc]backup-simplify: Simplify 0 into 0 1536826595.732 * [misc]backup-simplify: Simplify 1 into 1 1536826595.732 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826595.732 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826595.732 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.732 * [misc]backup-simplify: Simplify 2 into 2 1536826595.732 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826595.732 * [misc]taylor: Taking taylor expansion of n in k 1536826595.732 * [misc]backup-simplify: Simplify n into n 1536826595.732 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.732 * [misc]backup-simplify: Simplify PI into PI 1536826595.732 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826595.732 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826595.732 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826595.732 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826595.733 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.733 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.733 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826595.733 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826595.734 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (* n PI)) 1/2)) into (sqrt (/ 1 (* PI (* n 2)))) 1536826595.734 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826595.734 * [misc]taylor: Taking taylor expansion of k in k 1536826595.734 * [misc]backup-simplify: Simplify 0 into 0 1536826595.734 * [misc]backup-simplify: Simplify 1 into 1 1536826595.734 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.734 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826595.735 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* PI (* n 2)))) 0) into 0 1536826595.735 * [misc]taylor: Taking taylor expansion of 0 in n 1536826595.735 * [misc]backup-simplify: Simplify 0 into 0 1536826595.735 * [misc]backup-simplify: Simplify 0 into 0 1536826595.735 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536826595.736 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536826595.737 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536826595.737 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826595.737 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.737 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.738 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536826595.739 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1536826595.741 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 1536826595.742 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) 0)) into (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) 1536826595.742 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536826595.742 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536826595.742 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.742 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.742 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536826595.743 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826595.743 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826595.743 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.743 * [misc]taylor: Taking taylor expansion of n in n 1536826595.743 * [misc]backup-simplify: Simplify 0 into 0 1536826595.743 * [misc]backup-simplify: Simplify 1 into 1 1536826595.743 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.743 * [misc]backup-simplify: Simplify PI into PI 1536826595.743 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.743 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.745 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826595.745 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.746 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826595.746 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826595.746 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.746 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.746 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826595.746 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826595.747 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.747 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826595.749 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.749 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.750 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) PI))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.750 * [misc]backup-simplify: Simplify 0 into 0 1536826595.751 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826595.752 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536826595.752 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536826595.754 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1536826595.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826595.754 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.754 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.754 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536826595.756 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1536826595.763 * [misc]backup-simplify: Simplify (- (+ (* (sqrt (/ 1 (* PI (* n 2)))) (/ (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) (pow (* 2 (* n PI)) 1/2))) (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (/ (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) (pow (* 2 (* n PI)) 1/2))))) into (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 1536826595.774 * [misc]backup-simplify: Simplify (+ (* (sqrt (/ 1 (* PI (* n 2)))) +nan.0) (+ (* (* 1/2 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) +nan.0) (* (- (* 1/4 (* (* (pow (sqrt 2) 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 3))) (sqrt (/ 1 (* n PI))))) (* 1/8 (* (* (sqrt 2) (* (pow (log (* 2 (* n PI))) 2) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) 1536826595.774 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))))) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))))) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI))))) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.775 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.775 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) (sqrt (/ 1 (* n PI)))) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2))) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826595.775 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.775 * [misc]backup-simplify: Simplify 2 into 2 1536826595.775 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826595.776 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826595.776 * [misc]taylor: Taking taylor expansion of (* (log (* 2 (* n PI))) (pow (sqrt 1/2) 2)) in n 1536826595.776 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826595.776 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826595.776 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.776 * [misc]backup-simplify: Simplify 2 into 2 1536826595.776 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.776 * [misc]taylor: Taking taylor expansion of n in n 1536826595.776 * [misc]backup-simplify: Simplify 0 into 0 1536826595.776 * [misc]backup-simplify: Simplify 1 into 1 1536826595.776 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.776 * [misc]backup-simplify: Simplify PI into PI 1536826595.776 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.777 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826595.777 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.778 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826595.779 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.779 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536826595.779 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826595.779 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.779 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.779 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826595.779 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826595.779 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826595.779 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826595.779 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.779 * [misc]taylor: Taking taylor expansion of n in n 1536826595.779 * [misc]backup-simplify: Simplify 0 into 0 1536826595.779 * [misc]backup-simplify: Simplify 1 into 1 1536826595.779 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.780 * [misc]backup-simplify: Simplify PI into PI 1536826595.780 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.781 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.781 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826595.781 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.782 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826595.782 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)))) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 (* n PI))) (sqrt 1/2))) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.782 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.782 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 (* n PI))) (sqrt 1/2)) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826595.782 * [misc]taylor: Taking taylor expansion of n in n 1536826595.782 * [misc]backup-simplify: Simplify 0 into 0 1536826595.782 * [misc]backup-simplify: Simplify 1 into 1 1536826595.782 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.782 * [misc]backup-simplify: Simplify PI into PI 1536826595.783 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826595.783 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826595.784 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826595.784 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.785 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826595.785 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826595.785 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.785 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.785 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826595.785 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826595.786 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.787 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536826595.788 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (pow (sqrt 1/2) 2)) into (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))) 1536826595.790 * [misc]backup-simplify: Simplify (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) into (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 1536826595.790 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826595.791 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536826595.792 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826595.793 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826595.796 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826595.798 * [misc]backup-simplify: Simplify (+ (* (+ (log n) (log (* 2 PI))) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536826595.800 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI)))))) into 0 1536826595.804 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1536826595.805 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (* (pow (sqrt 1/2) 2) (+ (log n) (log (* 2 PI))))) 0) into 0 1536826595.817 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))) (* 0 0)) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) 1536826595.819 * [misc]backup-simplify: Simplify (+ (* 0 0) (* (/ +nan.0 PI) (sqrt 1/2))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.819 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826595.821 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.823 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (* +nan.0 (/ (sqrt 1/2) PI))) 1536826595.835 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))) (- (* +nan.0 (/ (sqrt 1/2) PI)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826595.849 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI)))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826595.862 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) 1536826595.864 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536826595.864 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826595.865 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536826595.866 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536826595.868 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* (/ +nan.0 PI) 0) (* (/ +nan.0 (pow PI 2)) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826595.871 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 1/2) PI)))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826595.873 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2))))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826595.874 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) into (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) 1536826595.891 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ (sqrt 1/2) (pow PI 2)))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log n))) PI)) (- (+ (* +nan.0 (/ (sqrt 1/2) PI)) (- (* +nan.0 (/ (* (sqrt 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI)))) PI))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ (sqrt 1/2) PI))) (* 1 k)))) into (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1536826595.891 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 k)) (/ 1 (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) 1536826595.891 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1536826595.891 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.891 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.891 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.891 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of k in n 1536826595.891 * [misc]backup-simplify: Simplify k into k 1536826595.891 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.891 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.891 * [misc]backup-simplify: Simplify 2 into 2 1536826595.891 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.891 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.892 * [misc]backup-simplify: Simplify PI into PI 1536826595.892 * [misc]taylor: Taking taylor expansion of n in n 1536826595.892 * [misc]backup-simplify: Simplify 0 into 0 1536826595.892 * [misc]backup-simplify: Simplify 1 into 1 1536826595.892 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.893 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.893 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.893 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.893 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.893 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.894 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.895 * [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))) 1536826595.896 * [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)))) 1536826595.897 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826595.897 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826595.897 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.897 * [misc]taylor: Taking taylor expansion of k in n 1536826595.897 * [misc]backup-simplify: Simplify k into k 1536826595.897 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.897 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826595.897 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826595.897 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826595.897 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826595.897 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.897 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.897 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.898 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.898 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.898 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.898 * [misc]taylor: Taking taylor expansion of k in k 1536826595.898 * [misc]backup-simplify: Simplify 0 into 0 1536826595.898 * [misc]backup-simplify: Simplify 1 into 1 1536826595.898 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.898 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826595.898 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826595.898 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.898 * [misc]backup-simplify: Simplify 2 into 2 1536826595.898 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.898 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.898 * [misc]backup-simplify: Simplify PI into PI 1536826595.898 * [misc]taylor: Taking taylor expansion of n in k 1536826595.898 * [misc]backup-simplify: Simplify n into n 1536826595.898 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.898 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826595.899 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826595.899 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.899 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.899 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.899 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826595.900 * [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)))) 1536826595.900 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826595.900 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826595.900 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.900 * [misc]taylor: Taking taylor expansion of k in k 1536826595.900 * [misc]backup-simplify: Simplify 0 into 0 1536826595.900 * [misc]backup-simplify: Simplify 1 into 1 1536826595.900 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.900 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.901 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826595.901 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.901 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.901 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.901 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.901 * [misc]taylor: Taking taylor expansion of k in k 1536826595.901 * [misc]backup-simplify: Simplify 0 into 0 1536826595.901 * [misc]backup-simplify: Simplify 1 into 1 1536826595.901 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.902 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826595.902 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826595.902 * [misc]taylor: Taking taylor expansion of 2 in k 1536826595.902 * [misc]backup-simplify: Simplify 2 into 2 1536826595.902 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.902 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.902 * [misc]backup-simplify: Simplify PI into PI 1536826595.902 * [misc]taylor: Taking taylor expansion of n in k 1536826595.902 * [misc]backup-simplify: Simplify n into n 1536826595.902 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.902 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826595.902 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826595.902 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.903 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826595.903 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826595.903 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826595.903 * [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)))) 1536826595.904 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826595.904 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826595.904 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.904 * [misc]taylor: Taking taylor expansion of k in k 1536826595.904 * [misc]backup-simplify: Simplify 0 into 0 1536826595.904 * [misc]backup-simplify: Simplify 1 into 1 1536826595.904 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.904 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.905 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826595.905 * [misc]backup-simplify: Simplify (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536826595.905 * [misc]taylor: Taking taylor expansion of 0 in n 1536826595.905 * [misc]backup-simplify: Simplify 0 into 0 1536826595.905 * [misc]backup-simplify: Simplify 0 into 0 1536826595.906 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826595.906 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826595.906 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826595.906 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826595.906 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.906 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.907 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.907 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.907 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.907 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of k in n 1536826595.907 * [misc]backup-simplify: Simplify k into k 1536826595.907 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.907 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.907 * [misc]backup-simplify: Simplify 2 into 2 1536826595.907 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.907 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.907 * [misc]backup-simplify: Simplify PI into PI 1536826595.907 * [misc]taylor: Taking taylor expansion of n in n 1536826595.907 * [misc]backup-simplify: Simplify 0 into 0 1536826595.907 * [misc]backup-simplify: Simplify 1 into 1 1536826595.908 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.908 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.909 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.909 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.909 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.909 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.910 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.910 * [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))) 1536826595.911 * [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)))) 1536826595.912 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826595.913 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826595.914 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.915 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.915 * [misc]backup-simplify: Simplify 0 into 0 1536826595.915 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826595.916 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826595.917 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826595.918 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826595.918 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.918 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.918 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.918 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.918 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.918 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.918 * [misc]taylor: Taking taylor expansion of k in n 1536826595.918 * [misc]backup-simplify: Simplify k into k 1536826595.918 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.918 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.919 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.919 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.919 * [misc]backup-simplify: Simplify 2 into 2 1536826595.919 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.919 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.919 * [misc]backup-simplify: Simplify PI into PI 1536826595.919 * [misc]taylor: Taking taylor expansion of n in n 1536826595.919 * [misc]backup-simplify: Simplify 0 into 0 1536826595.919 * [misc]backup-simplify: Simplify 1 into 1 1536826595.919 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.919 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.920 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.920 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.920 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.920 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.921 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.922 * [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))) 1536826595.923 * [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)))) 1536826595.923 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826595.924 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826595.925 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.925 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.926 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.927 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826595.929 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826595.929 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826595.929 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826595.929 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.929 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.930 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.930 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826595.931 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826595.932 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) (/ 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))))) into 0 1536826595.933 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into 0 1536826595.933 * [misc]backup-simplify: Simplify (- 0) into 0 1536826595.933 * [misc]backup-simplify: Simplify 0 into 0 1536826595.933 * [misc]backup-simplify: Simplify 0 into 0 1536826595.933 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.934 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826595.935 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) (* 0 (/ 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into 0 1536826595.935 * [misc]backup-simplify: Simplify (+ (* (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) 1536826595.935 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.935 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.935 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.935 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.935 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.935 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.935 * [misc]taylor: Taking taylor expansion of k in n 1536826595.936 * [misc]backup-simplify: Simplify k into k 1536826595.936 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.936 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826595.936 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826595.936 * [misc]taylor: Taking taylor expansion of 2 in n 1536826595.936 * [misc]backup-simplify: Simplify 2 into 2 1536826595.936 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.936 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.936 * [misc]backup-simplify: Simplify PI into PI 1536826595.936 * [misc]taylor: Taking taylor expansion of n in n 1536826595.936 * [misc]backup-simplify: Simplify 0 into 0 1536826595.936 * [misc]backup-simplify: Simplify 1 into 1 1536826595.936 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.936 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826595.936 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826595.937 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.937 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826595.937 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826595.937 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826595.938 * [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))) 1536826595.938 * [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)))) 1536826595.939 * [misc]backup-simplify: Simplify (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826595.939 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826595.940 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.940 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))))) 1536826595.942 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n)))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1536826595.942 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (- k))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2))))) into (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) 1536826595.943 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536826595.943 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of -1 in n 1536826595.943 * [misc]backup-simplify: Simplify -1 into -1 1536826595.943 * [misc]taylor: Taking taylor expansion of k in n 1536826595.943 * [misc]backup-simplify: Simplify k into k 1536826595.943 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826595.943 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826595.943 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826595.943 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826595.943 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.943 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of k in n 1536826595.943 * [misc]backup-simplify: Simplify k into k 1536826595.943 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.943 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.943 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.943 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.943 * [misc]backup-simplify: Simplify -2 into -2 1536826595.943 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.943 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.943 * [misc]backup-simplify: Simplify PI into PI 1536826595.943 * [misc]taylor: Taking taylor expansion of n in n 1536826595.943 * [misc]backup-simplify: Simplify 0 into 0 1536826595.943 * [misc]backup-simplify: Simplify 1 into 1 1536826595.944 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.944 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.945 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.945 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.945 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.946 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.946 * [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))) 1536826595.947 * [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)))) 1536826595.948 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ (sqrt (/ -1 k)) (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826595.948 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826595.948 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826595.948 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826595.948 * [misc]taylor: Taking taylor expansion of -1 in k 1536826595.948 * [misc]backup-simplify: Simplify -1 into -1 1536826595.948 * [misc]taylor: Taking taylor expansion of k in k 1536826595.948 * [misc]backup-simplify: Simplify 0 into 0 1536826595.948 * [misc]backup-simplify: Simplify 1 into 1 1536826595.949 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826595.949 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.949 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826595.949 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826595.949 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826595.949 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826595.949 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826595.949 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.949 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.949 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.949 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.950 * [misc]taylor: Taking taylor expansion of k in k 1536826595.950 * [misc]backup-simplify: Simplify 0 into 0 1536826595.950 * [misc]backup-simplify: Simplify 1 into 1 1536826595.950 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.950 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.950 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.950 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826595.950 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826595.950 * [misc]taylor: Taking taylor expansion of -2 in k 1536826595.950 * [misc]backup-simplify: Simplify -2 into -2 1536826595.950 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.950 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.950 * [misc]backup-simplify: Simplify PI into PI 1536826595.950 * [misc]taylor: Taking taylor expansion of n in k 1536826595.950 * [misc]backup-simplify: Simplify n into n 1536826595.950 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.950 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826595.951 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826595.951 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.951 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.951 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826595.951 * [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))) 1536826595.952 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826595.952 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826595.952 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826595.952 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826595.952 * [misc]taylor: Taking taylor expansion of -1 in k 1536826595.952 * [misc]backup-simplify: Simplify -1 into -1 1536826595.952 * [misc]taylor: Taking taylor expansion of k in k 1536826595.952 * [misc]backup-simplify: Simplify 0 into 0 1536826595.952 * [misc]backup-simplify: Simplify 1 into 1 1536826595.952 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826595.952 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826595.953 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826595.953 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.953 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.953 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826595.953 * [misc]taylor: Taking taylor expansion of k in k 1536826595.953 * [misc]backup-simplify: Simplify 0 into 0 1536826595.953 * [misc]backup-simplify: Simplify 1 into 1 1536826595.953 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826595.953 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826595.954 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.954 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826595.954 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826595.954 * [misc]taylor: Taking taylor expansion of -2 in k 1536826595.954 * [misc]backup-simplify: Simplify -2 into -2 1536826595.954 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826595.954 * [misc]taylor: Taking taylor expansion of PI in k 1536826595.954 * [misc]backup-simplify: Simplify PI into PI 1536826595.954 * [misc]taylor: Taking taylor expansion of n in k 1536826595.954 * [misc]backup-simplify: Simplify n into n 1536826595.954 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826595.954 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826595.954 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826595.954 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826595.955 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826595.955 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826595.955 * [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))) 1536826595.955 * [misc]backup-simplify: Simplify (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826595.956 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.956 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.956 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.956 * [misc]backup-simplify: Simplify -2 into -2 1536826595.956 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.956 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.956 * [misc]backup-simplify: Simplify PI into PI 1536826595.956 * [misc]taylor: Taking taylor expansion of n in n 1536826595.956 * [misc]backup-simplify: Simplify 0 into 0 1536826595.956 * [misc]backup-simplify: Simplify 1 into 1 1536826595.956 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.957 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.957 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.957 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.957 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.957 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.957 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.957 * [misc]taylor: Taking taylor expansion of k in n 1536826595.957 * [misc]backup-simplify: Simplify k into k 1536826595.958 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.958 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.958 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.959 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.959 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826595.960 * [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)))) 1536826595.961 * [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))))) 1536826595.962 * [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))))) 1536826595.962 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826595.963 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826595.964 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826595.964 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826595.964 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826595.964 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.965 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.965 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.965 * [misc]backup-simplify: Simplify -2 into -2 1536826595.965 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.965 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.965 * [misc]backup-simplify: Simplify PI into PI 1536826595.965 * [misc]taylor: Taking taylor expansion of n in n 1536826595.965 * [misc]backup-simplify: Simplify 0 into 0 1536826595.965 * [misc]backup-simplify: Simplify 1 into 1 1536826595.965 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.966 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.966 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.966 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.966 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.966 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.966 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.966 * [misc]taylor: Taking taylor expansion of k in n 1536826595.966 * [misc]backup-simplify: Simplify k into k 1536826595.967 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.967 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.967 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.968 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.968 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.968 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.969 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826595.969 * [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)))) 1536826595.970 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826595.971 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826595.972 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826595.973 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826595.974 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.974 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826595.974 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826595.974 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826595.976 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826595.976 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826595.980 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826595.981 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536826595.983 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826595.986 * [misc]backup-simplify: Simplify (- (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (+ (* (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) (/ 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))))) into 0 1536826595.986 * [misc]backup-simplify: Simplify 0 into 0 1536826595.986 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826595.988 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826595.990 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826595.990 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826595.990 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826595.990 * [misc]taylor: Taking taylor expansion of (/ 1 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of -2 in n 1536826595.990 * [misc]backup-simplify: Simplify -2 into -2 1536826595.990 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826595.990 * [misc]taylor: Taking taylor expansion of PI in n 1536826595.990 * [misc]backup-simplify: Simplify PI into PI 1536826595.990 * [misc]taylor: Taking taylor expansion of n in n 1536826595.990 * [misc]backup-simplify: Simplify 0 into 0 1536826595.990 * [misc]backup-simplify: Simplify 1 into 1 1536826595.991 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826595.991 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826595.992 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826595.992 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826595.992 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826595.992 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.992 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826595.992 * [misc]taylor: Taking taylor expansion of k in n 1536826595.992 * [misc]backup-simplify: Simplify k into k 1536826595.992 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826595.992 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826595.992 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826595.993 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826595.993 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826595.993 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826595.994 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826595.994 * [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)))) 1536826595.995 * [misc]backup-simplify: Simplify (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) into (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))) 1536826595.996 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (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))))) 1536826595.996 * [misc]backup-simplify: Simplify (- (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826595.997 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) into (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))))))) 1536826595.999 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (/ 1 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) (* 1 (/ 1 (- k)))) (/ +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n))))))))) into (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1536826595.999 * * * * [misc]progress: [ 4 / 4 ] generating series at (2) 1536826596.000 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) into (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) 1536826596.000 * [misc]approximate: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in (k n) around 0 1536826596.000 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of k in n 1536826596.000 * [misc]backup-simplify: Simplify k into k 1536826596.000 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.000 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826596.000 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826596.000 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826596.000 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.000 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.000 * [misc]taylor: Taking taylor expansion of k in n 1536826596.000 * [misc]backup-simplify: Simplify k into k 1536826596.000 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.000 * [misc]backup-simplify: Simplify 2 into 2 1536826596.000 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.000 * [misc]taylor: Taking taylor expansion of n in n 1536826596.000 * [misc]backup-simplify: Simplify 0 into 0 1536826596.000 * [misc]backup-simplify: Simplify 1 into 1 1536826596.000 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.000 * [misc]backup-simplify: Simplify PI into PI 1536826596.000 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.001 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826596.001 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.002 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826596.002 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.002 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826596.002 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826596.002 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826596.003 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.003 * [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)))) 1536826596.006 * [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))))) 1536826596.006 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of k in k 1536826596.006 * [misc]backup-simplify: Simplify 0 into 0 1536826596.006 * [misc]backup-simplify: Simplify 1 into 1 1536826596.006 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.006 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.006 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826596.006 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.006 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.006 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.006 * [misc]taylor: Taking taylor expansion of k in k 1536826596.006 * [misc]backup-simplify: Simplify 0 into 0 1536826596.006 * [misc]backup-simplify: Simplify 1 into 1 1536826596.006 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826596.006 * [misc]taylor: Taking taylor expansion of 2 in k 1536826596.006 * [misc]backup-simplify: Simplify 2 into 2 1536826596.006 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826596.007 * [misc]taylor: Taking taylor expansion of n in k 1536826596.007 * [misc]backup-simplify: Simplify n into n 1536826596.007 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.007 * [misc]backup-simplify: Simplify PI into PI 1536826596.007 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826596.007 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826596.007 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826596.007 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826596.007 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.007 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826596.007 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826596.008 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826596.008 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 k)) (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k)))) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of k in k 1536826596.008 * [misc]backup-simplify: Simplify 0 into 0 1536826596.008 * [misc]backup-simplify: Simplify 1 into 1 1536826596.008 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.008 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.008 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826596.008 * [misc]taylor: Taking taylor expansion of (pow (* 2 (* n PI)) (- 1/2 (* 1/2 k))) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI))))) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 (* n PI)))) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.008 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.008 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.008 * [misc]taylor: Taking taylor expansion of k in k 1536826596.008 * [misc]backup-simplify: Simplify 0 into 0 1536826596.008 * [misc]backup-simplify: Simplify 1 into 1 1536826596.008 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of 2 in k 1536826596.008 * [misc]backup-simplify: Simplify 2 into 2 1536826596.008 * [misc]taylor: Taking taylor expansion of (* n PI) in k 1536826596.008 * [misc]taylor: Taking taylor expansion of n in k 1536826596.008 * [misc]backup-simplify: Simplify n into n 1536826596.009 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.009 * [misc]backup-simplify: Simplify PI into PI 1536826596.009 * [misc]backup-simplify: Simplify (* n PI) into (* n PI) 1536826596.009 * [misc]backup-simplify: Simplify (* 2 (* n PI)) into (* 2 (* n PI)) 1536826596.009 * [misc]backup-simplify: Simplify (log (* 2 (* n PI))) into (log (* 2 (* n PI))) 1536826596.009 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826596.009 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.009 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826596.009 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 (* n PI)))) into (* 1/2 (log (* 2 (* n PI)))) 1536826596.009 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 (* n PI))))) into (pow (* 2 (* n PI)) 1/2) 1536826596.010 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (* n PI)) 1/2)) into 0 1536826596.010 * [misc]taylor: Taking taylor expansion of 0 in n 1536826596.010 * [misc]backup-simplify: Simplify 0 into 0 1536826596.010 * [misc]backup-simplify: Simplify 0 into 0 1536826596.010 * [misc]backup-simplify: Simplify (+ (* n 0) (* 0 PI)) into 0 1536826596.010 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 (* n PI))) into 0 1536826596.011 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 (* n PI)) 1)))) 1) into 0 1536826596.011 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826596.011 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826596.011 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826596.012 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 (* n PI))))) into (- (* 1/2 (log (* 2 (* n PI))))) 1536826596.012 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1)))) into (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI))))) 1536826596.013 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))) into (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) 1536826596.013 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.013 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.013 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.013 * [misc]backup-simplify: Simplify 2 into 2 1536826596.013 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.013 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.013 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.013 * [misc]taylor: Taking taylor expansion of n in n 1536826596.013 * [misc]backup-simplify: Simplify 0 into 0 1536826596.013 * [misc]backup-simplify: Simplify 1 into 1 1536826596.013 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.013 * [misc]backup-simplify: Simplify PI into PI 1536826596.013 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.014 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.014 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.014 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.014 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826596.015 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.015 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.015 * [misc]backup-simplify: Simplify 0 into 0 1536826596.015 * [misc]backup-simplify: Simplify 0 into 0 1536826596.015 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 1536826596.016 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 1536826596.017 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 1)))) 2) into 0 1536826596.017 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826596.017 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.017 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 (* n PI)))))) into 0 1536826596.019 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2))) 1536826596.019 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826596.020 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826596.021 * [misc]backup-simplify: Simplify (+ (* 0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2)))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) 1536826596.021 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.022 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.022 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.022 * [misc]backup-simplify: Simplify 2 into 2 1536826596.022 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.022 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.022 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.022 * [misc]backup-simplify: Simplify 2 into 2 1536826596.022 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.022 * [misc]taylor: Taking taylor expansion of n in n 1536826596.022 * [misc]backup-simplify: Simplify 0 into 0 1536826596.022 * [misc]backup-simplify: Simplify 1 into 1 1536826596.022 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.022 * [misc]backup-simplify: Simplify PI into PI 1536826596.022 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.022 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826596.023 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.023 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826596.024 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.024 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.024 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.024 * [misc]taylor: Taking taylor expansion of n in n 1536826596.024 * [misc]backup-simplify: Simplify 0 into 0 1536826596.024 * [misc]backup-simplify: Simplify 1 into 1 1536826596.024 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.024 * [misc]backup-simplify: Simplify PI into PI 1536826596.024 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.025 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.025 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.025 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.025 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.025 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.025 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.025 * [misc]backup-simplify: Simplify 2 into 2 1536826596.025 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.025 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.025 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.025 * [misc]taylor: Taking taylor expansion of n in n 1536826596.025 * [misc]backup-simplify: Simplify 0 into 0 1536826596.025 * [misc]backup-simplify: Simplify 1 into 1 1536826596.025 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.025 * [misc]backup-simplify: Simplify PI into PI 1536826596.026 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.026 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.026 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.027 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.027 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.028 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536826596.028 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536826596.028 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.028 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826596.028 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.029 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.029 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.029 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.029 * [misc]backup-simplify: Simplify 0 into 0 1536826596.030 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.031 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.032 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.032 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) PI))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.032 * [misc]backup-simplify: Simplify 0 into 0 1536826596.033 * [misc]backup-simplify: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 1536826596.034 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 1536826596.036 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2 (* n PI)) 1)))) 6) into 0 1536826596.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536826596.037 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.037 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.037 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (+ (* 0 0) (* 0 (log (* 2 (* n PI))))))) into 0 1536826596.040 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log (* 2 (* n PI))))) (+ (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 3) 6)) (* (/ (pow (- (* 1/2 (log (* 2 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3))) 1536826596.040 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826596.041 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826596.043 * [misc]backup-simplify: Simplify (+ (* 0 (* -1/48 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 3)))) (+ (* +nan.0 (* 1/8 (* (sqrt (* PI (* n 2))) (pow (log (* 2 (* n PI))) 2)))) (+ (* +nan.0 (* -1/2 (* (sqrt (* PI (* n 2))) (log (* 2 (* n PI)))))) (* +nan.0 (pow (* 2 (* n PI)) 1/2))))) into (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) 1536826596.044 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI)))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.044 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.044 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (log (* 2 (* n PI)))) (sqrt (* n PI))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (log (* 2 (* n PI)))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.044 * [misc]backup-simplify: Simplify 2 into 2 1536826596.044 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.044 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.044 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.044 * [misc]backup-simplify: Simplify 2 into 2 1536826596.044 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.044 * [misc]taylor: Taking taylor expansion of n in n 1536826596.044 * [misc]backup-simplify: Simplify 0 into 0 1536826596.044 * [misc]backup-simplify: Simplify 1 into 1 1536826596.044 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.044 * [misc]backup-simplify: Simplify PI into PI 1536826596.044 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.045 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826596.045 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.045 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826596.046 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.046 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.046 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.046 * [misc]taylor: Taking taylor expansion of n in n 1536826596.046 * [misc]backup-simplify: Simplify 0 into 0 1536826596.046 * [misc]backup-simplify: Simplify 1 into 1 1536826596.046 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.046 * [misc]backup-simplify: Simplify PI into PI 1536826596.046 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.047 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.047 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.047 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.047 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))))) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))))) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI)))) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.047 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.047 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) (sqrt (* n PI))) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (pow (log (* 2 (* n PI))) 2)) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.047 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.047 * [misc]backup-simplify: Simplify 2 into 2 1536826596.047 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.047 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.048 * [misc]taylor: Taking taylor expansion of (pow (log (* 2 (* n PI))) 2) in n 1536826596.048 * [misc]taylor: Taking taylor expansion of (log (* 2 (* n PI))) in n 1536826596.048 * [misc]taylor: Taking taylor expansion of (* 2 (* n PI)) in n 1536826596.048 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.048 * [misc]backup-simplify: Simplify 2 into 2 1536826596.048 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.048 * [misc]taylor: Taking taylor expansion of n in n 1536826596.048 * [misc]backup-simplify: Simplify 0 into 0 1536826596.048 * [misc]backup-simplify: Simplify 1 into 1 1536826596.048 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.048 * [misc]backup-simplify: Simplify PI into PI 1536826596.048 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.048 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826596.048 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.049 * [misc]backup-simplify: Simplify (+ (* 2 PI) (* 0 0)) into (* 2 PI) 1536826596.049 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.050 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.050 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.050 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.050 * [misc]taylor: Taking taylor expansion of n in n 1536826596.050 * [misc]backup-simplify: Simplify 0 into 0 1536826596.050 * [misc]backup-simplify: Simplify 1 into 1 1536826596.050 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.050 * [misc]backup-simplify: Simplify PI into PI 1536826596.050 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.051 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.051 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.051 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.051 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2) (sqrt (* n PI))))) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt 2) (sqrt (* n PI)))) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.051 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.051 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (sqrt (* n PI))) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.051 * [misc]backup-simplify: Simplify 2 into 2 1536826596.051 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826596.051 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826596.051 * [misc]taylor: Taking taylor expansion of (sqrt (* n PI)) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826596.051 * [misc]taylor: Taking taylor expansion of n in n 1536826596.051 * [misc]backup-simplify: Simplify 0 into 0 1536826596.051 * [misc]backup-simplify: Simplify 1 into 1 1536826596.051 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.052 * [misc]backup-simplify: Simplify PI into PI 1536826596.052 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826596.052 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826596.052 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.053 * [misc]backup-simplify: Simplify (/ PI (* 2 (sqrt 0))) into (* +nan.0 PI) 1536826596.053 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.054 * [misc]backup-simplify: Simplify (* (sqrt 2) (+ (log n) (log (* 2 PI)))) into (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 1536826596.054 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) 0) into 0 1536826596.054 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.055 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.056 * [misc]backup-simplify: Simplify (* (+ (log n) (log (* 2 PI))) (+ (log n) (log (* 2 PI)))) into (pow (+ (log n) (log (* 2 PI))) 2) 1536826596.057 * [misc]backup-simplify: Simplify (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) into (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 1536826596.057 * [misc]backup-simplify: Simplify (* (* (sqrt 2) (pow (+ (log n) (log (* 2 PI))) 2)) 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (* (sqrt 2) 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (* +nan.0 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.058 * [misc]backup-simplify: Simplify 0 into 0 1536826596.059 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826596.060 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 PI) (* 0 0))) into 0 1536826596.062 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826596.062 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log (* 2 PI))) into (+ (log n) (log (* 2 PI))) 1536826596.063 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (+ (log n) (log (* 2 PI))))) into 0 1536826596.064 * [misc]backup-simplify: Simplify (+ (* (* (sqrt 2) (+ (log n) (log (* 2 PI)))) (* +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1536826596.067 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))) (* 0 0)) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) 1536826596.068 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) (* +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.070 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (* (sqrt 2) PI)))) (* 0 0)) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.072 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) PI)))) into (- (* +nan.0 (* (sqrt 2) PI))) 1536826596.076 * [misc]backup-simplify: Simplify (+ (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))) (- (* +nan.0 (* (sqrt 2) PI)))) into (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI)))))))))) 1536826596.080 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (* (sqrt 2) PI)) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1536826596.084 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +nan.0 (* (sqrt 2) PI))))))) 1536826596.086 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826596.088 * [misc]backup-simplify: Simplify (/ (- 0 (pow (* +nan.0 PI) 2) (+)) (* 2 0)) into (* +nan.0 (pow PI 2)) 1536826596.089 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536826596.092 * [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)))) 1536826596.098 * [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)))) 1536826596.100 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536826596.102 * [misc]backup-simplify: Simplify (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) into (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) 1536826596.113 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (* (sqrt 2) (pow PI 2)))) (pow (* n 1) 2)) (+ (* (- (+ (* +nan.0 (* (sqrt 2) (* PI (log (* 2 PI))))) (- (+ (* +nan.0 (* (sqrt 2) (* PI (log n)))) (- (* +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 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1536826596.114 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ 1 k)) (/ 1 (pow (* PI (* (/ 1 n) 2)) (- 1/2 (/ (/ 1 k) 2)))))) into (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) 1536826596.114 * [misc]approximate: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in (k n) around 0 1536826596.114 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of k in n 1536826596.114 * [misc]backup-simplify: Simplify k into k 1536826596.114 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826596.114 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826596.114 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826596.114 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.114 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.115 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.115 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.115 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.115 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.115 * [misc]taylor: Taking taylor expansion of k in n 1536826596.115 * [misc]backup-simplify: Simplify k into k 1536826596.115 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.115 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826596.115 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826596.115 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.115 * [misc]backup-simplify: Simplify 2 into 2 1536826596.115 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.115 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.115 * [misc]backup-simplify: Simplify PI into PI 1536826596.115 * [misc]taylor: Taking taylor expansion of n in n 1536826596.115 * [misc]backup-simplify: Simplify 0 into 0 1536826596.115 * [misc]backup-simplify: Simplify 1 into 1 1536826596.116 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.116 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826596.117 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.117 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.117 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826596.117 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826596.118 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826596.119 * [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))) 1536826596.119 * [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)))) 1536826596.119 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826596.119 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826596.119 * [misc]taylor: Taking taylor expansion of k in k 1536826596.120 * [misc]backup-simplify: Simplify 0 into 0 1536826596.120 * [misc]backup-simplify: Simplify 1 into 1 1536826596.120 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.120 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826596.120 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826596.120 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826596.120 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826596.120 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826596.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.120 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826596.120 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.120 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.121 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.121 * [misc]taylor: Taking taylor expansion of k in k 1536826596.121 * [misc]backup-simplify: Simplify 0 into 0 1536826596.121 * [misc]backup-simplify: Simplify 1 into 1 1536826596.121 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.121 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826596.121 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826596.121 * [misc]taylor: Taking taylor expansion of 2 in k 1536826596.121 * [misc]backup-simplify: Simplify 2 into 2 1536826596.121 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826596.121 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.121 * [misc]backup-simplify: Simplify PI into PI 1536826596.121 * [misc]taylor: Taking taylor expansion of n in k 1536826596.121 * [misc]backup-simplify: Simplify n into n 1536826596.121 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826596.121 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826596.121 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826596.122 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826596.122 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826596.122 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826596.122 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826596.123 * [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)))) 1536826596.123 * [misc]taylor: Taking taylor expansion of (* (sqrt k) (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826596.123 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826596.123 * [misc]taylor: Taking taylor expansion of k in k 1536826596.123 * [misc]backup-simplify: Simplify 0 into 0 1536826596.123 * [misc]backup-simplify: Simplify 1 into 1 1536826596.123 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.123 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826596.123 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826596.123 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in k 1536826596.123 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.124 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.124 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.124 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of k in k 1536826596.124 * [misc]backup-simplify: Simplify 0 into 0 1536826596.124 * [misc]backup-simplify: Simplify 1 into 1 1536826596.124 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.124 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of 2 in k 1536826596.124 * [misc]backup-simplify: Simplify 2 into 2 1536826596.124 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826596.124 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.124 * [misc]backup-simplify: Simplify PI into PI 1536826596.124 * [misc]taylor: Taking taylor expansion of n in k 1536826596.124 * [misc]backup-simplify: Simplify n into n 1536826596.124 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826596.125 * [misc]backup-simplify: Simplify (* 2 (/ PI n)) into (* 2 (/ PI n)) 1536826596.125 * [misc]backup-simplify: Simplify (log (* 2 (/ PI n))) into (log (* 2 (/ PI n))) 1536826596.125 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826596.125 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826596.125 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826596.125 * [misc]backup-simplify: Simplify (* -1/2 (log (* 2 (/ PI n)))) into (* -1/2 (log (* 2 (/ PI n)))) 1536826596.126 * [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)))) 1536826596.126 * [misc]backup-simplify: Simplify (* 0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) into 0 1536826596.126 * [misc]taylor: Taking taylor expansion of 0 in n 1536826596.126 * [misc]backup-simplify: Simplify 0 into 0 1536826596.126 * [misc]backup-simplify: Simplify 0 into 0 1536826596.127 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826596.127 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.127 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.127 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.127 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.127 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.127 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of k in n 1536826596.127 * [misc]backup-simplify: Simplify k into k 1536826596.127 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.127 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826596.127 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.127 * [misc]backup-simplify: Simplify 2 into 2 1536826596.128 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.128 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.128 * [misc]backup-simplify: Simplify PI into PI 1536826596.128 * [misc]taylor: Taking taylor expansion of n in n 1536826596.128 * [misc]backup-simplify: Simplify 0 into 0 1536826596.128 * [misc]backup-simplify: Simplify 1 into 1 1536826596.128 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.128 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826596.129 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.129 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.129 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826596.129 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826596.130 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826596.131 * [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))) 1536826596.132 * [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)))) 1536826596.133 * [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))))) 1536826596.134 * [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)))))) 1536826596.135 * [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)))))) 1536826596.135 * [misc]backup-simplify: Simplify 0 into 0 1536826596.136 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826596.137 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826596.137 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.137 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.137 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.137 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.137 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.137 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of k in n 1536826596.137 * [misc]backup-simplify: Simplify k into k 1536826596.137 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.137 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.137 * [misc]backup-simplify: Simplify 2 into 2 1536826596.137 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.137 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.138 * [misc]backup-simplify: Simplify PI into PI 1536826596.138 * [misc]taylor: Taking taylor expansion of n in n 1536826596.138 * [misc]backup-simplify: Simplify 0 into 0 1536826596.138 * [misc]backup-simplify: Simplify 1 into 1 1536826596.138 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.138 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826596.139 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.139 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.139 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826596.139 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826596.140 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826596.141 * [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))) 1536826596.141 * [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)))) 1536826596.143 * [misc]backup-simplify: Simplify (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) into (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n))))) 1536826596.144 * [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)))))) 1536826596.145 * [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)))))) 1536826596.146 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826596.147 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 PI)) into 0 1536826596.150 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 PI) 1)))) 1) into 0 1536826596.150 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826596.150 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826596.151 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.151 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.151 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826596.152 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log (* 2 PI)) (log n)))) into 0 1536826596.154 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826596.155 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log (* 2 PI)) (log n)))))) into 0 1536826596.155 * [misc]backup-simplify: Simplify (- 0) into 0 1536826596.155 * [misc]backup-simplify: Simplify 0 into 0 1536826596.155 * [misc]backup-simplify: Simplify 0 into 0 1536826596.157 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826596.157 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))))) into (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826596.158 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of (* +nan.0 (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.158 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.158 * [misc]taylor: Taking taylor expansion of (pow (* 2 (/ PI n)) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n))))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (* 2 (/ PI n)))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.158 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.158 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.158 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of k in n 1536826596.158 * [misc]backup-simplify: Simplify k into k 1536826596.158 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.158 * [misc]taylor: Taking taylor expansion of (log (* 2 (/ PI n))) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of (* 2 (/ PI n)) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of 2 in n 1536826596.158 * [misc]backup-simplify: Simplify 2 into 2 1536826596.158 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.158 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.158 * [misc]backup-simplify: Simplify PI into PI 1536826596.158 * [misc]taylor: Taking taylor expansion of n in n 1536826596.158 * [misc]backup-simplify: Simplify 0 into 0 1536826596.158 * [misc]backup-simplify: Simplify 1 into 1 1536826596.159 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.159 * [misc]backup-simplify: Simplify (* 2 PI) into (* 2 PI) 1536826596.160 * [misc]backup-simplify: Simplify (log (* 2 PI)) into (log (* 2 PI)) 1536826596.160 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.160 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826596.160 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826596.161 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* 2 PI))) into (- (log (* 2 PI)) (log n)) 1536826596.162 * [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))) 1536826596.162 * [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)))) 1536826596.163 * [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))))) 1536826596.164 * [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)))))) 1536826596.165 * [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)))))) 1536826596.169 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log (* 2 PI)) (log (/ 1 n))))))) (* 1 (/ 1 k))))) 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)))))))) 1536826596.169 * [misc]backup-simplify: Simplify (/ 1 (* (sqrt (/ 1 (- k))) (/ 1 (pow (* PI (* (/ 1 (- n)) 2)) (- 1/2 (/ (/ 1 (- k)) 2)))))) into (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) 1536826596.169 * [misc]approximate: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in (k n) around 0 1536826596.170 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.170 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of k in n 1536826596.170 * [misc]backup-simplify: Simplify k into k 1536826596.170 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.170 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.170 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.170 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of -2 in n 1536826596.170 * [misc]backup-simplify: Simplify -2 into -2 1536826596.170 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.170 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.170 * [misc]backup-simplify: Simplify PI into PI 1536826596.170 * [misc]taylor: Taking taylor expansion of n in n 1536826596.170 * [misc]backup-simplify: Simplify 0 into 0 1536826596.170 * [misc]backup-simplify: Simplify 1 into 1 1536826596.171 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.171 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826596.172 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826596.172 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.172 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826596.173 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826596.173 * [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))) 1536826596.174 * [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)))) 1536826596.174 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826596.174 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826596.174 * [misc]taylor: Taking taylor expansion of -1 in n 1536826596.174 * [misc]backup-simplify: Simplify -1 into -1 1536826596.174 * [misc]taylor: Taking taylor expansion of k in n 1536826596.174 * [misc]backup-simplify: Simplify k into k 1536826596.175 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826596.175 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826596.175 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826596.175 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826596.176 * [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))) 1536826596.176 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.176 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.176 * [misc]taylor: Taking taylor expansion of k in k 1536826596.176 * [misc]backup-simplify: Simplify 0 into 0 1536826596.176 * [misc]backup-simplify: Simplify 1 into 1 1536826596.176 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.176 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.176 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.177 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826596.177 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826596.177 * [misc]taylor: Taking taylor expansion of -2 in k 1536826596.177 * [misc]backup-simplify: Simplify -2 into -2 1536826596.177 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826596.177 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.177 * [misc]backup-simplify: Simplify PI into PI 1536826596.177 * [misc]taylor: Taking taylor expansion of n in k 1536826596.177 * [misc]backup-simplify: Simplify n into n 1536826596.177 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826596.177 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826596.177 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826596.177 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826596.178 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826596.178 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826596.178 * [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))) 1536826596.178 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826596.178 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826596.178 * [misc]taylor: Taking taylor expansion of -1 in k 1536826596.178 * [misc]backup-simplify: Simplify -1 into -1 1536826596.178 * [misc]taylor: Taking taylor expansion of k in k 1536826596.178 * [misc]backup-simplify: Simplify 0 into 0 1536826596.178 * [misc]backup-simplify: Simplify 1 into 1 1536826596.179 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826596.179 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.179 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826596.180 * [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)))) 1536826596.180 * [misc]taylor: Taking taylor expansion of (/ (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) (sqrt (/ -1 k))) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (pow (* -2 (/ PI n)) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n))))) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (* -2 (/ PI n)))) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.180 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of k in k 1536826596.180 * [misc]backup-simplify: Simplify 0 into 0 1536826596.180 * [misc]backup-simplify: Simplify 1 into 1 1536826596.180 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826596.180 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826596.180 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.180 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of -2 in k 1536826596.180 * [misc]backup-simplify: Simplify -2 into -2 1536826596.180 * [misc]taylor: Taking taylor expansion of (/ PI n) in k 1536826596.180 * [misc]taylor: Taking taylor expansion of PI in k 1536826596.181 * [misc]backup-simplify: Simplify PI into PI 1536826596.181 * [misc]taylor: Taking taylor expansion of n in k 1536826596.181 * [misc]backup-simplify: Simplify n into n 1536826596.181 * [misc]backup-simplify: Simplify (/ PI n) into (/ PI n) 1536826596.181 * [misc]backup-simplify: Simplify (* -2 (/ PI n)) into (* -2 (/ PI n)) 1536826596.181 * [misc]backup-simplify: Simplify (log (* -2 (/ PI n))) into (log (* -2 (/ PI n))) 1536826596.181 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826596.181 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826596.182 * [misc]backup-simplify: Simplify (* 1/2 (log (* -2 (/ PI n)))) into (* 1/2 (log (* -2 (/ PI n)))) 1536826596.182 * [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))) 1536826596.182 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826596.182 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826596.182 * [misc]taylor: Taking taylor expansion of -1 in k 1536826596.182 * [misc]backup-simplify: Simplify -1 into -1 1536826596.182 * [misc]taylor: Taking taylor expansion of k in k 1536826596.182 * [misc]backup-simplify: Simplify 0 into 0 1536826596.182 * [misc]backup-simplify: Simplify 1 into 1 1536826596.182 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826596.183 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826596.183 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826596.183 * [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)))) 1536826596.184 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.184 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.184 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of -2 in n 1536826596.184 * [misc]backup-simplify: Simplify -2 into -2 1536826596.184 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.184 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.184 * [misc]backup-simplify: Simplify PI into PI 1536826596.184 * [misc]taylor: Taking taylor expansion of n in n 1536826596.184 * [misc]backup-simplify: Simplify 0 into 0 1536826596.184 * [misc]backup-simplify: Simplify 1 into 1 1536826596.184 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.185 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826596.185 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826596.185 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826596.185 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.185 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.185 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.185 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.185 * [misc]taylor: Taking taylor expansion of k in n 1536826596.185 * [misc]backup-simplify: Simplify k into k 1536826596.185 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.186 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.186 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.186 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826596.186 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.187 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826596.187 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826596.188 * [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)))) 1536826596.189 * [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))))) 1536826596.190 * [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))))) 1536826596.190 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826596.191 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826596.192 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1536826596.192 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.192 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.192 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of -2 in n 1536826596.192 * [misc]backup-simplify: Simplify -2 into -2 1536826596.192 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.192 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.192 * [misc]backup-simplify: Simplify PI into PI 1536826596.192 * [misc]taylor: Taking taylor expansion of n in n 1536826596.193 * [misc]backup-simplify: Simplify 0 into 0 1536826596.193 * [misc]backup-simplify: Simplify 1 into 1 1536826596.193 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.193 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826596.194 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826596.194 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826596.194 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.194 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.194 * [misc]taylor: Taking taylor expansion of k in n 1536826596.194 * [misc]backup-simplify: Simplify k into k 1536826596.194 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.194 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.194 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.195 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826596.195 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.195 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826596.196 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826596.197 * [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)))) 1536826596.197 * [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))))) 1536826596.198 * [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)))))) 1536826596.199 * [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)))))) 1536826596.200 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826596.200 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826596.200 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826596.200 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826596.201 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 1536826596.201 * [misc]backup-simplify: Simplify (+ (* -2 0) (* 0 PI)) into 0 1536826596.204 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2 PI) 1)))) 1) into 0 1536826596.205 * [misc]backup-simplify: Simplify (+ (* (- (log (* -2 PI)) (log n)) 0) (* 0 (+ (* 1/2 (/ 1 k)) 1/2))) into 0 1536826596.206 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826596.207 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n)))))) into 0 1536826596.207 * [misc]backup-simplify: Simplify 0 into 0 1536826596.207 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826596.208 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826596.209 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) 1536826596.209 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of (* +nan.0 (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826596.209 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826596.209 * [misc]taylor: Taking taylor expansion of (exp (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of (* (log (* -2 (/ PI n))) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of (log (* -2 (/ PI n))) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of (* -2 (/ PI n)) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of -2 in n 1536826596.209 * [misc]backup-simplify: Simplify -2 into -2 1536826596.209 * [misc]taylor: Taking taylor expansion of (/ PI n) in n 1536826596.209 * [misc]taylor: Taking taylor expansion of PI in n 1536826596.209 * [misc]backup-simplify: Simplify PI into PI 1536826596.209 * [misc]taylor: Taking taylor expansion of n in n 1536826596.209 * [misc]backup-simplify: Simplify 0 into 0 1536826596.209 * [misc]backup-simplify: Simplify 1 into 1 1536826596.209 * [misc]backup-simplify: Simplify (/ PI 1) into PI 1536826596.209 * [misc]backup-simplify: Simplify (* -2 PI) into (* -2 PI) 1536826596.210 * [misc]backup-simplify: Simplify (log (* -2 PI)) into (log (* -2 PI)) 1536826596.210 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826596.210 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826596.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.210 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826596.210 * [misc]taylor: Taking taylor expansion of k in n 1536826596.210 * [misc]backup-simplify: Simplify k into k 1536826596.210 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826596.210 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826596.210 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826596.210 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log (* -2 PI))) into (- (log (* -2 PI)) (log n)) 1536826596.210 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826596.211 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826596.211 * [misc]backup-simplify: Simplify (* (- (log (* -2 PI)) (log n)) (+ (* 1/2 (/ 1 k)) 1/2)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log (* -2 PI)) (log n))) 1536826596.211 * [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)))) 1536826596.212 * [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))))) 1536826596.212 * [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)))))) 1536826596.213 * [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)))))) 1536826596.215 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2) (- (log (* -2 PI)) (log (/ 1 (- n)))))))) (* 1 (/ 1 (- k)))) (* +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))))))))))) 1536826596.215 * * * [misc]progress: simplifying candidates 1536826596.215 * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # 1536826596.215 * [enter]simplify: Simplifying (* (log (* PI (* n 2))) (- 1/2 (/ k 2))) 1536826596.216 * * [misc]simplify: iters left: 6 (11 enodes) 1536826596.219 * * [misc]simplify: iters left: 5 (21 enodes) 1536826596.226 * * [misc]simplify: iters left: 4 (47 enodes) 1536826596.247 * * [misc]simplify: iters left: 3 (109 enodes) 1536826596.302 * * [misc]simplify: iters left: 2 (300 enodes) 1536826596.656 * [exit]simplify: Simplified to (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI))) 1536826596.656 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (exp (* (- 1/2 (/ k 2)) (log (* (* 2 n) PI)))))))) 1536826596.656 * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # 1536826596.657 * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # 1536826596.657 * [enter]simplify: Simplifying (* PI (* n 2)) 1536826596.657 * * [misc]simplify: iters left: 4 (5 enodes) 1536826596.660 * * [misc]simplify: iters left: 3 (9 enodes) 1536826596.664 * * [misc]simplify: iters left: 2 (15 enodes) 1536826596.669 * * [misc]simplify: iters left: 1 (17 enodes) 1536826596.675 * [exit]simplify: Simplified to (* (* 2 n) PI) 1536826596.675 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* 2 n) PI) (* 1 (- 1/2 (/ k 2)))))))) 1536826596.675 * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # 1536826596.675 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826596.676 * * [misc]simplify: iters left: 5 (8 enodes) 1536826596.680 * * [misc]simplify: iters left: 4 (12 enodes) 1536826596.684 * * [misc]simplify: iters left: 3 (18 enodes) 1536826596.687 * * [misc]simplify: iters left: 2 (20 enodes) 1536826596.691 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826596.691 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (/ (pow (* PI (* n 2)) 1/2) (pow (* (* 2 n) PI) (/ k 2))))))) 1536826596.691 * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # 1536826596.691 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536826596.691 * * [misc]simplify: iters left: 5 (6 enodes) 1536826596.693 * * [misc]simplify: iters left: 4 (8 enodes) 1536826596.694 * * [misc]simplify: iters left: 3 (11 enodes) 1536826596.697 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536826596.697 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) (* (cbrt (- 1/2 (/ k 2))) (cbrt (- 1/2 (/ k 2))))) (cbrt (- 1/2 (/ k 2)))))))) 1536826596.697 * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # 1536826596.698 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536826596.698 * * [misc]simplify: iters left: 5 (6 enodes) 1536826596.699 * * [misc]simplify: iters left: 4 (8 enodes) 1536826596.701 * * [misc]simplify: iters left: 3 (11 enodes) 1536826596.702 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536826596.703 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1536826596.703 * * * * [misc]progress: [ 7 / 83 ] simplifiying candidate # 1536826596.703 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536826596.703 * * [misc]simplify: iters left: 4 (5 enodes) 1536826596.704 * * [misc]simplify: iters left: 3 (7 enodes) 1536826596.705 * * [misc]simplify: iters left: 2 (10 enodes) 1536826596.707 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536826596.707 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (pow (* PI (* n 2)) 1) (- 1/2 (/ k 2))))))) 1536826596.707 * * * * [misc]progress: [ 8 / 83 ] simplifiying candidate # 1536826596.707 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826596.708 * * [misc]simplify: iters left: 5 (9 enodes) 1536826596.710 * * [misc]simplify: iters left: 4 (15 enodes) 1536826596.713 * * [misc]simplify: iters left: 3 (21 enodes) 1536826596.718 * * [misc]simplify: iters left: 2 (22 enodes) 1536826596.726 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826596.726 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))) 1536826596.726 * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # 1536826596.726 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- (/ k 2))) 1536826596.727 * * [misc]simplify: iters left: 5 (9 enodes) 1536826596.731 * * [misc]simplify: iters left: 4 (15 enodes) 1536826596.738 * * [misc]simplify: iters left: 3 (21 enodes) 1536826596.744 * * [misc]simplify: iters left: 2 (22 enodes) 1536826596.749 * [exit]simplify: Simplified to (pow (* (* PI n) 2) (- (/ k 2))) 1536826596.749 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* PI (* n 2)) 1/2) (pow (* (* PI n) 2) (- (/ k 2)))))))) 1536826596.749 * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # 1536826596.750 * [enter]simplify: Simplifying (pow PI (- 1/2 (/ k 2))) 1536826596.750 * * [misc]simplify: iters left: 5 (7 enodes) 1536826596.751 * * [misc]simplify: iters left: 4 (9 enodes) 1536826596.753 * * [misc]simplify: iters left: 3 (12 enodes) 1536826596.755 * [exit]simplify: Simplified to (pow PI (- 1/2 (/ k 2))) 1536826596.755 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826596.755 * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # 1536826596.755 * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # 1536826596.755 * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # 1536826596.755 * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # 1536826596.755 * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # 1536826596.755 * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 20 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 21 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # 1536826596.756 * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # 1536826596.756 * [enter]simplify: Simplifying (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826596.757 * * [misc]simplify: iters left: 6 (14 enodes) 1536826596.760 * * [misc]simplify: iters left: 5 (25 enodes) 1536826596.766 * * [misc]simplify: iters left: 4 (41 enodes) 1536826596.774 * * [misc]simplify: iters left: 3 (49 enodes) 1536826596.784 * * [misc]simplify: iters left: 2 (65 enodes) 1536826596.804 * * [misc]simplify: iters left: 1 (66 enodes) 1536826596.816 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1536826596.816 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (pow (* (* PI 2) n) (- 1/2 (/ k 2)))) 1))) 1536826596.816 * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # 1536826596.816 * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # 1536826596.817 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1536826596.818 * * [misc]simplify: iters left: 6 (15 enodes) 1536826596.826 * * [misc]simplify: iters left: 5 (31 enodes) 1536826596.843 * * [misc]simplify: iters left: 4 (72 enodes) 1536826596.892 * * [misc]simplify: iters left: 3 (210 enodes) 1536826597.086 * [exit]simplify: Simplified to (+ (* (+ -1/2 (/ k 2)) (log (* (* PI n) 2))) (log (sqrt k))) 1536826597.086 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ -1/2 (/ k 2)) (log (* (* PI n) 2))) (log (sqrt k)))))) 1536826597.086 * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # 1536826597.087 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (* (log (* PI (* n 2))) (- 1/2 (/ k 2))))) 1536826597.088 * * [misc]simplify: iters left: 6 (15 enodes) 1536826597.098 * * [misc]simplify: iters left: 5 (31 enodes) 1536826597.115 * * [misc]simplify: iters left: 4 (72 enodes) 1536826597.144 * * [misc]simplify: iters left: 3 (210 enodes) 1536826597.289 * [exit]simplify: Simplified to (+ (* (+ -1/2 (/ k 2)) (log (* (* PI n) 2))) (log (sqrt k))) 1536826597.289 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ -1/2 (/ k 2)) (log (* (* PI n) 2))) (log (sqrt k)))))) 1536826597.289 * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # 1536826597.289 * [enter]simplify: Simplifying (+ (log (sqrt k)) (- (log (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826597.291 * * [misc]simplify: iters left: 6 (15 enodes) 1536826597.297 * * [misc]simplify: iters left: 5 (25 enodes) 1536826597.303 * * [misc]simplify: iters left: 4 (46 enodes) 1536826597.317 * * [misc]simplify: iters left: 3 (104 enodes) 1536826597.364 * * [misc]simplify: iters left: 2 (337 enodes) 1536826597.753 * [exit]simplify: Simplified to (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k))) 1536826597.753 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (log (* (* PI 2) n)) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1536826597.753 * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # 1536826597.753 * [enter]simplify: Simplifying (+ (log (sqrt k)) (log (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826597.755 * * [misc]simplify: iters left: 6 (16 enodes) 1536826597.762 * * [misc]simplify: iters left: 5 (29 enodes) 1536826597.772 * * [misc]simplify: iters left: 4 (41 enodes) 1536826597.789 * * [misc]simplify: iters left: 3 (65 enodes) 1536826597.818 * * [misc]simplify: iters left: 2 (163 enodes) 1536826597.995 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (log (* (* n 2) PI))) (log (sqrt k))) 1536826597.995 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (log (* (* n 2) PI))) (log (sqrt k)))))) 1536826597.995 * * * * [misc]progress: [ 33 / 83 ] simplifiying candidate # 1536826597.995 * * * * [misc]progress: [ 34 / 83 ] simplifiying candidate # 1536826597.995 * * * * [misc]progress: [ 35 / 83 ] simplifiying candidate # 1536826597.995 * [enter]simplify: Simplifying (* (* (* (sqrt k) (sqrt k)) (sqrt k)) (* (* (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) 1536826597.996 * * [misc]simplify: iters left: 6 (18 enodes) 1536826598.004 * * [misc]simplify: iters left: 5 (39 enodes) 1536826598.026 * * [misc]simplify: iters left: 4 (88 enodes) 1536826598.059 * * [misc]simplify: iters left: 3 (159 enodes) 1536826598.121 * * [misc]simplify: iters left: 2 (281 enodes) 1536826598.361 * * [misc]simplify: iters left: 1 (424 enodes) 1536826598.575 * [exit]simplify: Simplified to (/ (/ (* (sqrt k) k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2))))) 1536826598.575 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (/ (/ (* (sqrt k) k) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))) (* (pow (* n (* 2 PI)) (- 1/2 (/ k 2))) (pow (* n (* 2 PI)) (- 1/2 (/ k 2)))))))) 1536826598.575 * * * * [misc]progress: [ 36 / 83 ] simplifiying candidate # 1536826598.575 * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # 1536826598.575 * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # 1536826598.575 * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # 1536826598.575 * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # 1536826598.575 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826598.576 * * [misc]simplify: iters left: 5 (10 enodes) 1536826598.581 * * [misc]simplify: iters left: 4 (16 enodes) 1536826598.588 * * [misc]simplify: iters left: 3 (25 enodes) 1536826598.596 * * [misc]simplify: iters left: 2 (26 enodes) 1536826598.604 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826598.604 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536826598.604 * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # 1536826598.605 * [enter]simplify: Simplifying (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826598.606 * * [misc]simplify: iters left: 6 (13 enodes) 1536826598.611 * * [misc]simplify: iters left: 5 (21 enodes) 1536826598.616 * * [misc]simplify: iters left: 4 (30 enodes) 1536826598.620 * * [misc]simplify: iters left: 3 (31 enodes) 1536826598.628 * [exit]simplify: Simplified to (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536826598.628 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (* (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))))) (cbrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1536826598.628 * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # 1536826598.628 * [enter]simplify: Simplifying (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) 1536826598.629 * * [misc]simplify: iters left: 6 (13 enodes) 1536826598.632 * * [misc]simplify: iters left: 5 (21 enodes) 1536826598.637 * * [misc]simplify: iters left: 4 (30 enodes) 1536826598.643 * * [misc]simplify: iters left: 3 (31 enodes) 1536826598.653 * [exit]simplify: Simplified to (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))) 1536826598.653 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (sqrt (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))) (sqrt (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))))) 1536826598.653 * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # 1536826598.653 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826598.654 * * [misc]simplify: iters left: 6 (12 enodes) 1536826598.660 * * [misc]simplify: iters left: 5 (20 enodes) 1536826598.666 * * [misc]simplify: iters left: 4 (29 enodes) 1536826598.670 * * [misc]simplify: iters left: 3 (30 enodes) 1536826598.676 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536826598.676 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1536826598.676 * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # 1536826598.676 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826598.676 * * [misc]simplify: iters left: 6 (12 enodes) 1536826598.680 * * [misc]simplify: iters left: 5 (20 enodes) 1536826598.684 * * [misc]simplify: iters left: 4 (29 enodes) 1536826598.688 * * [misc]simplify: iters left: 3 (30 enodes) 1536826598.693 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536826598.693 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) 1) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2))))))) 1536826598.693 * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # 1536826598.693 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (/ k 2)) 1536826598.694 * * [misc]simplify: iters left: 5 (8 enodes) 1536826598.696 * * [misc]simplify: iters left: 4 (12 enodes) 1536826598.701 * * [misc]simplify: iters left: 3 (18 enodes) 1536826598.708 * * [misc]simplify: iters left: 2 (20 enodes) 1536826598.714 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (/ k 2)) 1536826598.714 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (sqrt k) (/ 1 (pow (* PI (* n 2)) 1/2))) (pow (* (* 2 n) PI) (/ k 2))))) 1536826598.715 * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # 1536826598.715 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826598.718 * * [misc]simplify: iters left: 4 (4 enodes) 1536826598.720 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826598.720 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (* (cbrt (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826598.720 * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # 1536826598.720 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536826598.720 * * [misc]simplify: iters left: 2 (3 enodes) 1536826598.721 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826598.721 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (sqrt k)) (* (sqrt (sqrt k)) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))))))) 1536826598.721 * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # 1536826598.722 * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # 1536826598.722 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826598.723 * * [misc]simplify: iters left: 5 (10 enodes) 1536826598.725 * * [misc]simplify: iters left: 4 (16 enodes) 1536826598.729 * * [misc]simplify: iters left: 3 (25 enodes) 1536826598.733 * * [misc]simplify: iters left: 2 (26 enodes) 1536826598.738 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826598.738 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (sqrt k) 1) (pow (* (* 2 n) PI) (- 1/2 (/ k 2)))))) 1536826598.738 * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # 1536826598.738 * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # 1536826598.738 * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # 1536826598.738 * [enter]simplify: Simplifying (- 1) 1536826598.738 * * [misc]simplify: iters left: 2 (2 enodes) 1536826598.739 * * [misc]simplify: iters left: 1 (5 enodes) 1536826598.740 * [exit]simplify: Simplified to -1 1536826598.740 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) -1)) 1536826598.740 * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # 1536826598.740 * [enter]simplify: Simplifying (- 1) 1536826598.740 * * [misc]simplify: iters left: 2 (2 enodes) 1536826598.741 * * [misc]simplify: iters left: 1 (5 enodes) 1536826598.741 * [exit]simplify: Simplified to -1 1536826598.742 * [misc]simplify: Simplified (2 2) to (λ (k n) (pow (* (sqrt k) (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2))))) -1)) 1536826598.742 * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 60 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 64 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 65 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 67 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 68 / 83 ] simplifiying candidate # 1536826598.742 * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # 1536826598.742 * [enter]simplify: Simplifying (/ 1 (pow (* PI (* n 2)) (- 1/2 (/ k 2)))) 1536826598.743 * * [misc]simplify: iters left: 6 (12 enodes) 1536826598.746 * * [misc]simplify: iters left: 5 (20 enodes) 1536826598.750 * * [misc]simplify: iters left: 4 (29 enodes) 1536826598.755 * * [misc]simplify: iters left: 3 (30 enodes) 1536826598.759 * [exit]simplify: Simplified to (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))) 1536826598.759 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ (/ 1 (sqrt k)) (/ 1 (pow (* (* n PI) 2) (- 1/2 (/ k 2)))))) 1536826598.759 * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # 1536826598.760 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826598.760 * * [misc]simplify: iters left: 5 (10 enodes) 1536826598.762 * * [misc]simplify: iters left: 4 (16 enodes) 1536826598.766 * * [misc]simplify: iters left: 3 (25 enodes) 1536826598.772 * * [misc]simplify: iters left: 2 (26 enodes) 1536826598.776 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826598.776 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (sqrt k)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536826598.776 * * * * [misc]progress: [ 71 / 83 ] simplifiying candidate # 1536826598.777 * [enter]simplify: Simplifying (pow (* PI (* n 2)) (- 1/2 (/ k 2))) 1536826598.777 * * [misc]simplify: iters left: 5 (10 enodes) 1536826598.779 * * [misc]simplify: iters left: 4 (16 enodes) 1536826598.784 * * [misc]simplify: iters left: 3 (25 enodes) 1536826598.788 * * [misc]simplify: iters left: 2 (26 enodes) 1536826598.792 * [exit]simplify: Simplified to (pow (* (* 2 n) PI) (- 1/2 (/ k 2))) 1536826598.792 * [misc]simplify: Simplified (2 2) to (λ (k n) (* (/ 1 (* (sqrt k) 1)) (pow (* (* 2 n) PI) (- 1/2 (/ k 2))))) 1536826598.792 * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # 1536826598.792 * [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))))) 1536826598.796 * * [misc]simplify: iters left: 6 (37 enodes) 1536826598.814 * * [misc]simplify: iters left: 5 (105 enodes) 1536826598.868 * * [misc]simplify: iters left: 4 (339 enodes) 1536826599.377 * [exit]simplify: Simplified to (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))) 1536826599.377 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (+ (+ (* (* (* (* k (pow n 1/2)) (pow (* PI 2) 1/2)) (+ (log n) (log (* PI 2)))) -1/2) (+ (* (* (* k (log n)) (* k (log n))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (pow (* PI 2) 1/2) (pow n 1/2)))) (* (* k k) (+ (* (* (log (* PI 2)) (log (* PI 2))) (* (* 1/8 (pow n 1/2)) (pow (* PI 2) 1/2))) (* (* (* (log n) (pow n 1/2)) (pow (* PI 2) 1/2)) (* (log (* PI 2)) 1/4))))))))) 1536826599.377 * * * * [misc]progress: [ 73 / 83 ] simplifiying candidate # 1536826599.377 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) 1536826599.379 * * [misc]simplify: iters left: 6 (15 enodes) 1536826599.389 * * [misc]simplify: iters left: 5 (33 enodes) 1536826599.407 * * [misc]simplify: iters left: 4 (64 enodes) 1536826599.448 * * [misc]simplify: iters left: 3 (171 enodes) 1536826599.650 * [exit]simplify: Simplified to (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))) 1536826599.651 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (* (pow (* 2 PI) (- 1/2 (* 1/2 k))) (pow n (- 1/2 (* 1/2 k)))))))) 1536826599.651 * * * * [misc]progress: [ 74 / 83 ] simplifiying candidate # 1536826599.651 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) 1536826599.652 * * [misc]simplify: iters left: 6 (15 enodes) 1536826599.657 * * [misc]simplify: iters left: 5 (30 enodes) 1536826599.666 * * [misc]simplify: iters left: 4 (65 enodes) 1536826599.713 * * [misc]simplify: iters left: 3 (200 enodes) 1536826600.376 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))) 1536826600.376 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (exp (- 1/2 (* 1/2 k))) (- (log (* -2 PI)) (log (/ -1 n)))))))) 1536826600.376 * * * * [misc]progress: [ 75 / 83 ] simplifiying candidate # 1536826600.376 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826600.377 * * [misc]simplify: iters left: 4 (5 enodes) 1536826600.379 * * [misc]simplify: iters left: 3 (9 enodes) 1536826600.383 * * [misc]simplify: iters left: 2 (15 enodes) 1536826600.388 * * [misc]simplify: iters left: 1 (17 enodes) 1536826600.393 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826600.394 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826600.394 * * * * [misc]progress: [ 76 / 83 ] simplifiying candidate # 1536826600.394 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826600.394 * * [misc]simplify: iters left: 4 (5 enodes) 1536826600.397 * * [misc]simplify: iters left: 3 (9 enodes) 1536826600.401 * * [misc]simplify: iters left: 2 (15 enodes) 1536826600.406 * * [misc]simplify: iters left: 1 (17 enodes) 1536826600.411 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826600.411 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826600.411 * * * * [misc]progress: [ 77 / 83 ] simplifiying candidate # 1536826600.412 * [enter]simplify: Simplifying (* 2 (* n PI)) 1536826600.412 * * [misc]simplify: iters left: 4 (5 enodes) 1536826600.414 * * [misc]simplify: iters left: 3 (9 enodes) 1536826600.423 * * [misc]simplify: iters left: 2 (15 enodes) 1536826600.428 * * [misc]simplify: iters left: 1 (17 enodes) 1536826600.433 * [exit]simplify: Simplified to (* (* PI n) 2) 1536826600.433 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (sqrt k) (/ 1 (pow (* (* PI n) 2) (- 1/2 (/ k 2))))))) 1536826600.433 * * * * [misc]progress: [ 78 / 83 ] simplifiying candidate # 1536826600.434 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (* (sqrt 2) (* (pow k 2) (* (pow (sqrt 1/2) 2) (log (* 2 PI))))) PI)) (- (+ (* +nan.0 (/ (* (sqrt 1/2) (pow k 2)) PI)) (- (+ (* +nan.0 (/ (* n (* (sqrt 1/2) k)) (pow PI 2))) (- (+ (* +nan.0 (/ (* (log n) (* (sqrt 2) (* (pow (sqrt 1/2) 2) (pow k 2)))) PI)) (- (* +nan.0 (/ (* (sqrt 1/2) k) PI))))))))))) 1536826600.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826600.434 * * * * [misc]progress: [ 79 / 83 ] simplifiying candidate # 1536826600.434 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) k))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n))))) (pow k 2)))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* 2 PI)) (log (/ 1 n)))))))))))) 1536826600.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826600.434 * * * * [misc]progress: [ 80 / 83 ] simplifiying candidate # 1536826600.434 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) (pow k 2)))) (- (+ (* +nan.0 (/ 1 (* (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n))))) k))) (- (* +nan.0 (/ 1 (exp (* (- 1/2 (* 1/2 k)) (- (log (* -2 PI)) (log (/ -1 n)))))))))))) 1536826600.434 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826600.434 * * * * [misc]progress: [ 81 / 83 ] simplifiying candidate # 1536826600.435 * [enter]simplify: Simplifying (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI k)))) (- (+ (* +nan.0 (* (sqrt 2) (* n PI))) (- (+ (* +nan.0 (* (log (* 2 PI)) (* (sqrt 2) (* n (* PI k))))) (- (+ (* +nan.0 (* (sqrt 2) (* n (* PI (* (log n) k))))) (- (* +nan.0 (* (sqrt 2) (* (pow n 2) (pow PI 2))))))))))))) 1536826600.435 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826600.435 * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # 1536826600.435 * [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)))))))) 1536826600.435 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826600.435 * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # 1536826600.435 * [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))))))))))) 1536826600.435 * [misc]simplify: Simplified (2) to (λ (k n) +nan.0) 1536826600.435 * * * [misc]progress: adding candidates to table 1536826602.274 * * [misc]progress: iteration 4 / 4 1536826602.274 * * * [misc]progress: picking best candidate 1536826602.393 * * * * [misc]pick: Picked # 1536826602.393 * * * [misc]progress: localizing error 1536826602.462 * * * [misc]progress: generating rewritten candidates 1536826602.462 * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 2) 1536826602.475 * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 2 2) 1536826602.490 * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 2) 1536826602.541 * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) 1536826602.640 * * * [misc]progress: generating series expansions 1536826602.640 * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 2) 1536826602.641 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ k 2))) into (pow PI (- 1/2 (* 1/2 k))) 1536826602.641 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in (k) around 0 1536826602.641 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.641 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.641 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.641 * [misc]taylor: Taking taylor expansion of k in k 1536826602.641 * [misc]backup-simplify: Simplify 0 into 0 1536826602.641 * [misc]backup-simplify: Simplify 1 into 1 1536826602.641 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.641 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.641 * [misc]backup-simplify: Simplify PI into PI 1536826602.642 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.642 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.642 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.642 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.643 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826602.644 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536826602.644 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.644 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.644 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.644 * [misc]taylor: Taking taylor expansion of k in k 1536826602.644 * [misc]backup-simplify: Simplify 0 into 0 1536826602.644 * [misc]backup-simplify: Simplify 1 into 1 1536826602.644 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.644 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.644 * [misc]backup-simplify: Simplify PI into PI 1536826602.644 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.645 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.645 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.645 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.645 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826602.646 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536826602.647 * [misc]backup-simplify: Simplify (pow PI 1/2) into (pow PI 1/2) 1536826602.650 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536826602.650 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826602.650 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.650 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.652 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1536826602.655 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1536826602.657 * [misc]backup-simplify: Simplify (* -1/2 (* (log PI) (sqrt PI))) into (* -1/2 (* (log PI) (sqrt PI))) 1536826602.663 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1536826602.664 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826602.664 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.664 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.665 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1536826602.671 * [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))) 1536826602.673 * [misc]backup-simplify: Simplify (* 1/8 (* (pow (log PI) 2) (sqrt PI))) into (* 1/8 (* (pow (log PI) 2) (sqrt PI))) 1536826602.678 * [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)))) 1536826602.678 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 k) 2))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.678 * [misc]approximate: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in (k) around 0 1536826602.678 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826602.678 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536826602.678 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536826602.678 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.678 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.678 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.678 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.679 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.679 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.679 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.679 * [misc]taylor: Taking taylor expansion of k in k 1536826602.679 * [misc]backup-simplify: Simplify 0 into 0 1536826602.679 * [misc]backup-simplify: Simplify 1 into 1 1536826602.679 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.679 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.679 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.679 * [misc]backup-simplify: Simplify PI into PI 1536826602.679 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.680 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.680 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.680 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.680 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536826602.681 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.681 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.681 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.681 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.681 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.681 * [misc]taylor: Taking taylor expansion of k in k 1536826602.681 * [misc]backup-simplify: Simplify 0 into 0 1536826602.681 * [misc]backup-simplify: Simplify 1 into 1 1536826602.682 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.682 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.682 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.682 * [misc]backup-simplify: Simplify PI into PI 1536826602.682 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.682 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.682 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.682 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.683 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536826602.684 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.684 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 k)))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify 0 into 0 1536826602.684 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) into (pow PI (- 1/2 (* 1/2 k))) 1536826602.684 * [misc]backup-simplify: Simplify (pow PI (- 1/2 (/ (/ 1 (- k)) 2))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.685 * [misc]approximate: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in (k) around 0 1536826602.685 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.685 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of k in k 1536826602.685 * [misc]backup-simplify: Simplify 0 into 0 1536826602.685 * [misc]backup-simplify: Simplify 1 into 1 1536826602.685 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.685 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.685 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.685 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.685 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.685 * [misc]backup-simplify: Simplify PI into PI 1536826602.686 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.686 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.686 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.687 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826602.687 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.687 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.687 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.687 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.687 * [misc]taylor: Taking taylor expansion of k in k 1536826602.687 * [misc]backup-simplify: Simplify 0 into 0 1536826602.687 * [misc]backup-simplify: Simplify 1 into 1 1536826602.688 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.688 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.688 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.688 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826602.688 * [misc]taylor: Taking taylor expansion of PI in k 1536826602.688 * [misc]backup-simplify: Simplify PI into PI 1536826602.688 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826602.688 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.688 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.689 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826602.689 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.690 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify 0 into 0 1536826602.690 * [misc]backup-simplify: Simplify (pow PI (+ (* 1/2 (/ 1 (/ 1 (- k)))) 1/2)) into (pow PI (- 1/2 (* 1/2 k))) 1536826602.690 * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 2 2) 1536826602.691 * [misc]backup-simplify: Simplify (pow (* n 2) (- 1/2 (/ k 2))) into (pow (* 2 n) (- 1/2 (* 1/2 k))) 1536826602.691 * [misc]approximate: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in (n k) around 0 1536826602.691 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.691 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.691 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.691 * [misc]taylor: Taking taylor expansion of k in k 1536826602.691 * [misc]backup-simplify: Simplify 0 into 0 1536826602.691 * [misc]backup-simplify: Simplify 1 into 1 1536826602.691 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536826602.691 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.691 * [misc]backup-simplify: Simplify 2 into 2 1536826602.691 * [misc]taylor: Taking taylor expansion of n in k 1536826602.691 * [misc]backup-simplify: Simplify n into n 1536826602.691 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536826602.691 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536826602.692 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.692 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.692 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.692 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536826602.692 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536826602.692 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.692 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.692 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.692 * [misc]taylor: Taking taylor expansion of k in n 1536826602.692 * [misc]backup-simplify: Simplify k into k 1536826602.692 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826602.692 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826602.693 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.693 * [misc]backup-simplify: Simplify 2 into 2 1536826602.693 * [misc]taylor: Taking taylor expansion of n in n 1536826602.693 * [misc]backup-simplify: Simplify 0 into 0 1536826602.693 * [misc]backup-simplify: Simplify 1 into 1 1536826602.693 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826602.693 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826602.693 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.693 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826602.693 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826602.693 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826602.694 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.694 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536826602.694 * [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)))) 1536826602.694 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536826602.694 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536826602.694 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536826602.695 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826602.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.695 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826602.695 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.695 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.695 * [misc]taylor: Taking taylor expansion of k in n 1536826602.695 * [misc]backup-simplify: Simplify k into k 1536826602.695 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826602.695 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826602.695 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.695 * [misc]backup-simplify: Simplify 2 into 2 1536826602.695 * [misc]taylor: Taking taylor expansion of n in n 1536826602.695 * [misc]backup-simplify: Simplify 0 into 0 1536826602.695 * [misc]backup-simplify: Simplify 1 into 1 1536826602.695 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826602.695 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826602.695 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.696 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826602.696 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826602.696 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826602.696 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.696 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536826602.697 * [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)))) 1536826602.697 * [misc]taylor: Taking taylor expansion of (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of (+ (log 2) (log n)) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of (log 2) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.697 * [misc]backup-simplify: Simplify 2 into 2 1536826602.697 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.697 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of n in k 1536826602.697 * [misc]backup-simplify: Simplify n into n 1536826602.697 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826602.697 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.697 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.697 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.697 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.697 * [misc]taylor: Taking taylor expansion of k in k 1536826602.697 * [misc]backup-simplify: Simplify 0 into 0 1536826602.697 * [misc]backup-simplify: Simplify 1 into 1 1536826602.698 * [misc]backup-simplify: Simplify (+ (log 2) (log n)) into (+ (log 2) (log n)) 1536826602.698 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.698 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.698 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.698 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) 1/2) into (* 1/2 (+ (log 2) (log n))) 1536826602.699 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1536826602.699 * [misc]backup-simplify: Simplify (exp (* 1/2 (+ (log 2) (log n)))) into (exp (* 1/2 (+ (log 2) (log n)))) 1536826602.699 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536826602.702 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826602.702 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 k)) into 0 1536826602.702 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.702 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.703 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.703 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (* 0 (+ (log 2) (log n)))) into 0 1536826602.705 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826602.705 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.705 * [misc]backup-simplify: Simplify 0 into 0 1536826602.705 * [misc]backup-simplify: Simplify 0 into 0 1536826602.705 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826602.705 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.705 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.708 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826602.709 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 1536826602.709 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.710 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) -1/2) (* 0 1/2)) into (- (+ (* 1/2 (log 2)) (* 1/2 (log n)))) 1536826602.711 * [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))))) 1536826602.711 * [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))))) 1536826602.712 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1536826602.716 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536826602.717 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 k))) into 0 1536826602.717 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.717 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.717 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.718 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 k)) 0) (+ (* 0 0) (* 0 (+ (log 2) (log n))))) into 0 1536826602.720 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1536826602.720 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.720 * [misc]backup-simplify: Simplify 0 into 0 1536826602.720 * [misc]backup-simplify: Simplify 0 into 0 1536826602.720 * [misc]backup-simplify: Simplify 0 into 0 1536826602.721 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826602.721 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.721 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.732 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536826602.734 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 1536826602.735 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.735 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (+ (* 0 -1/2) (* 0 1/2))) into 0 1536826602.738 * [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))))) 1536826602.741 * [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))))) 1536826602.746 * [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))))) 1536826602.747 * [misc]backup-simplify: Simplify (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.747 * [misc]approximate: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in (n k) around 0 1536826602.747 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.747 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.747 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.747 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.747 * [misc]taylor: Taking taylor expansion of k in k 1536826602.747 * [misc]backup-simplify: Simplify 0 into 0 1536826602.747 * [misc]backup-simplify: Simplify 1 into 1 1536826602.747 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.747 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536826602.748 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536826602.748 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.748 * [misc]backup-simplify: Simplify 2 into 2 1536826602.748 * [misc]taylor: Taking taylor expansion of n in k 1536826602.748 * [misc]backup-simplify: Simplify n into n 1536826602.748 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536826602.748 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536826602.748 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.748 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.748 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.748 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536826602.749 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.749 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.749 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.749 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.749 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of k in n 1536826602.749 * [misc]backup-simplify: Simplify k into k 1536826602.749 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.749 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.749 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.749 * [misc]backup-simplify: Simplify 2 into 2 1536826602.749 * [misc]taylor: Taking taylor expansion of n in n 1536826602.749 * [misc]backup-simplify: Simplify 0 into 0 1536826602.749 * [misc]backup-simplify: Simplify 1 into 1 1536826602.750 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.750 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.750 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.750 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.750 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.750 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.751 * [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))) 1536826602.751 * [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)))) 1536826602.751 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.751 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.751 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.751 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.751 * [misc]taylor: Taking taylor expansion of k in n 1536826602.752 * [misc]backup-simplify: Simplify k into k 1536826602.752 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.752 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.752 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.752 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.752 * [misc]backup-simplify: Simplify 2 into 2 1536826602.752 * [misc]taylor: Taking taylor expansion of n in n 1536826602.752 * [misc]backup-simplify: Simplify 0 into 0 1536826602.752 * [misc]backup-simplify: Simplify 1 into 1 1536826602.752 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.752 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.752 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.752 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.752 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.753 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.753 * [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))) 1536826602.754 * [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)))) 1536826602.754 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.754 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.754 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.754 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of k in k 1536826602.754 * [misc]backup-simplify: Simplify 0 into 0 1536826602.754 * [misc]backup-simplify: Simplify 1 into 1 1536826602.754 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.754 * [misc]taylor: Taking taylor expansion of (- (log 2) (log n)) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of (log 2) in k 1536826602.754 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.754 * [misc]backup-simplify: Simplify 2 into 2 1536826602.755 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.755 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826602.755 * [misc]taylor: Taking taylor expansion of n in k 1536826602.755 * [misc]backup-simplify: Simplify n into n 1536826602.755 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826602.755 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.755 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.755 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.755 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826602.756 * [misc]backup-simplify: Simplify (+ (log 2) (- (log n))) into (- (log 2) (log n)) 1536826602.756 * [misc]backup-simplify: Simplify (* -1/2 (- (log 2) (log n))) into (* -1/2 (- (log 2) (log n))) 1536826602.756 * [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)))) 1536826602.757 * [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)))) 1536826602.757 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536826602.760 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826602.760 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826602.760 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826602.760 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.760 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.761 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.761 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536826602.763 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826602.763 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.763 * [misc]backup-simplify: Simplify 0 into 0 1536826602.763 * [misc]backup-simplify: Simplify 0 into 0 1536826602.763 * [misc]backup-simplify: Simplify 0 into 0 1536826602.763 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826602.768 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2 1)))) 2) into 0 1536826602.768 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826602.769 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826602.769 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.769 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.769 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.770 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log 2) (log n))))) into 0 1536826602.772 * [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 1536826602.772 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.772 * [misc]backup-simplify: Simplify 0 into 0 1536826602.772 * [misc]backup-simplify: Simplify 0 into 0 1536826602.772 * [misc]backup-simplify: Simplify 0 into 0 1536826602.772 * [misc]backup-simplify: Simplify 0 into 0 1536826602.773 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826602.781 * [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 1536826602.781 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826602.781 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826602.782 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.782 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.782 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.783 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log 2) (log n)))))) into 0 1536826602.787 * [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 1536826602.787 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.787 * [misc]backup-simplify: Simplify 0 into 0 1536826602.787 * [misc]backup-simplify: Simplify 0 into 0 1536826602.787 * [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)))) 1536826602.788 * [misc]backup-simplify: Simplify (pow (* (/ 1 (- n)) 2) (- 1/2 (/ (/ 1 (- k)) 2))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.788 * [misc]approximate: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in (n k) around 0 1536826602.788 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.788 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of k in k 1536826602.788 * [misc]backup-simplify: Simplify 0 into 0 1536826602.788 * [misc]backup-simplify: Simplify 1 into 1 1536826602.788 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.788 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.788 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.788 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536826602.788 * [misc]taylor: Taking taylor expansion of -2 in k 1536826602.788 * [misc]backup-simplify: Simplify -2 into -2 1536826602.788 * [misc]taylor: Taking taylor expansion of n in k 1536826602.788 * [misc]backup-simplify: Simplify n into n 1536826602.789 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536826602.789 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536826602.789 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.789 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.789 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536826602.789 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826602.789 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826602.789 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826602.789 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826602.789 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826602.789 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.789 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.789 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.790 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.790 * [misc]taylor: Taking taylor expansion of k in n 1536826602.790 * [misc]backup-simplify: Simplify k into k 1536826602.790 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.790 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.790 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.790 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826602.790 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826602.790 * [misc]taylor: Taking taylor expansion of -2 in n 1536826602.790 * [misc]backup-simplify: Simplify -2 into -2 1536826602.790 * [misc]taylor: Taking taylor expansion of n in n 1536826602.790 * [misc]backup-simplify: Simplify 0 into 0 1536826602.790 * [misc]backup-simplify: Simplify 1 into 1 1536826602.790 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826602.790 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826602.790 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.790 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826602.791 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.791 * [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))) 1536826602.792 * [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)))) 1536826602.792 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.792 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of k in n 1536826602.792 * [misc]backup-simplify: Simplify k into k 1536826602.792 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.792 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.792 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.792 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826602.792 * [misc]taylor: Taking taylor expansion of -2 in n 1536826602.792 * [misc]backup-simplify: Simplify -2 into -2 1536826602.792 * [misc]taylor: Taking taylor expansion of n in n 1536826602.792 * [misc]backup-simplify: Simplify 0 into 0 1536826602.792 * [misc]backup-simplify: Simplify 1 into 1 1536826602.792 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826602.793 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826602.793 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.793 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826602.793 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.793 * [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))) 1536826602.794 * [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)))) 1536826602.794 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) in k 1536826602.794 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n))) in k 1536826602.794 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826602.794 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.794 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.794 * [misc]taylor: Taking taylor expansion of k in k 1536826602.794 * [misc]backup-simplify: Simplify 0 into 0 1536826602.794 * [misc]backup-simplify: Simplify 1 into 1 1536826602.794 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.794 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.794 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.795 * [misc]taylor: Taking taylor expansion of (- (log -2) (log n)) in k 1536826602.795 * [misc]taylor: Taking taylor expansion of (log -2) in k 1536826602.795 * [misc]taylor: Taking taylor expansion of -2 in k 1536826602.795 * [misc]backup-simplify: Simplify -2 into -2 1536826602.795 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826602.795 * [misc]taylor: Taking taylor expansion of (log n) in k 1536826602.795 * [misc]taylor: Taking taylor expansion of n in k 1536826602.795 * [misc]backup-simplify: Simplify n into n 1536826602.795 * [misc]backup-simplify: Simplify (log n) into (log n) 1536826602.795 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.795 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.795 * [misc]backup-simplify: Simplify (- (log n)) into (- (log n)) 1536826602.796 * [misc]backup-simplify: Simplify (+ (log -2) (- (log n))) into (- (log -2) (log n)) 1536826602.796 * [misc]backup-simplify: Simplify (* 1/2 (- (log -2) (log n))) into (* 1/2 (- (log -2) (log n))) 1536826602.796 * [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)))) 1536826602.797 * [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)))) 1536826602.797 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536826602.800 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536826602.800 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826602.800 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826602.800 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.801 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.801 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536826602.803 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826602.803 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.803 * [misc]backup-simplify: Simplify 0 into 0 1536826602.803 * [misc]backup-simplify: Simplify 0 into 0 1536826602.803 * [misc]backup-simplify: Simplify 0 into 0 1536826602.803 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826602.808 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -2 1)))) 2) into 0 1536826602.808 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826602.809 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 k)))) into 0 1536826602.809 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.809 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.810 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (* 0 (- (log -2) (log n))))) into 0 1536826602.812 * [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 1536826602.812 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.812 * [misc]backup-simplify: Simplify 0 into 0 1536826602.812 * [misc]backup-simplify: Simplify 0 into 0 1536826602.812 * [misc]backup-simplify: Simplify 0 into 0 1536826602.812 * [misc]backup-simplify: Simplify 0 into 0 1536826602.813 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826602.820 * [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 1536826602.820 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 1536826602.821 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 k))))) into 0 1536826602.821 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.822 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.822 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -2) (log n)))))) into 0 1536826602.826 * [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 1536826602.826 * [misc]taylor: Taking taylor expansion of 0 in k 1536826602.826 * [misc]backup-simplify: Simplify 0 into 0 1536826602.826 * [misc]backup-simplify: Simplify 0 into 0 1536826602.827 * [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))))) 1536826602.827 * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 2) 1536826602.827 * [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)) 1536826602.827 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in (k n) around 0 1536826602.827 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.827 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826602.827 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.827 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.827 * [misc]taylor: Taking taylor expansion of k in n 1536826602.828 * [misc]backup-simplify: Simplify k into k 1536826602.828 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826602.828 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826602.828 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.828 * [misc]backup-simplify: Simplify 2 into 2 1536826602.828 * [misc]taylor: Taking taylor expansion of n in n 1536826602.828 * [misc]backup-simplify: Simplify 0 into 0 1536826602.828 * [misc]backup-simplify: Simplify 1 into 1 1536826602.828 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826602.828 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826602.828 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.828 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826602.829 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826602.829 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826602.829 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.829 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536826602.830 * [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)))) 1536826602.830 * [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))))) 1536826602.830 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826602.830 * [misc]taylor: Taking taylor expansion of k in n 1536826602.830 * [misc]backup-simplify: Simplify k into k 1536826602.830 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826602.830 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826602.830 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826602.830 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1536826602.830 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536826602.830 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.831 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.831 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.831 * [misc]taylor: Taking taylor expansion of k in k 1536826602.831 * [misc]backup-simplify: Simplify 0 into 0 1536826602.831 * [misc]backup-simplify: Simplify 1 into 1 1536826602.831 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536826602.831 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.831 * [misc]backup-simplify: Simplify 2 into 2 1536826602.831 * [misc]taylor: Taking taylor expansion of n in k 1536826602.831 * [misc]backup-simplify: Simplify n into n 1536826602.831 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536826602.831 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536826602.831 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.831 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.832 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.832 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536826602.832 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536826602.832 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1536826602.832 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826602.832 * [misc]taylor: Taking taylor expansion of k in k 1536826602.832 * [misc]backup-simplify: Simplify 0 into 0 1536826602.832 * [misc]backup-simplify: Simplify 1 into 1 1536826602.832 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.833 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.833 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) (sqrt k)) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (* 2 n) (- 1/2 (* 1/2 k)))) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.833 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.833 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.833 * [misc]taylor: Taking taylor expansion of k in k 1536826602.833 * [misc]backup-simplify: Simplify 0 into 0 1536826602.833 * [misc]backup-simplify: Simplify 1 into 1 1536826602.833 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536826602.833 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.833 * [misc]backup-simplify: Simplify 2 into 2 1536826602.833 * [misc]taylor: Taking taylor expansion of n in k 1536826602.834 * [misc]backup-simplify: Simplify n into n 1536826602.834 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536826602.834 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536826602.834 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826602.834 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.834 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826602.834 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536826602.834 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536826602.835 * [misc]backup-simplify: Simplify (/ 1 (pow (* 2 n) 1/2)) into (sqrt (/ 1 (* n 2))) 1536826602.835 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826602.835 * [misc]taylor: Taking taylor expansion of k in k 1536826602.835 * [misc]backup-simplify: Simplify 0 into 0 1536826602.835 * [misc]backup-simplify: Simplify 1 into 1 1536826602.835 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.835 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.836 * [misc]backup-simplify: Simplify (* (sqrt (/ 1 (* n 2))) 0) into 0 1536826602.836 * [misc]taylor: Taking taylor expansion of 0 in n 1536826602.836 * [misc]backup-simplify: Simplify 0 into 0 1536826602.836 * [misc]backup-simplify: Simplify 0 into 0 1536826602.836 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1536826602.837 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1536826602.837 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826602.837 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.838 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.838 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1536826602.838 * [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)))) 1536826602.841 * [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)))) 1536826602.843 * [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)))) 1536826602.843 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1536826602.843 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1536826602.843 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.843 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.843 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1536826602.843 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536826602.843 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536826602.843 * [misc]taylor: Taking taylor expansion of n in n 1536826602.843 * [misc]backup-simplify: Simplify 0 into 0 1536826602.843 * [misc]backup-simplify: Simplify 1 into 1 1536826602.844 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.844 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.844 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.844 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826602.844 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.844 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.844 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826602.845 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826602.845 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.846 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826602.847 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1536826602.848 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.848 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.848 * [misc]backup-simplify: Simplify 0 into 0 1536826602.849 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826602.850 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1536826602.852 * [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 1536826602.852 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826602.853 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.853 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.853 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1536826602.855 * [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))) 1536826602.865 * [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))))) 1536826602.876 * [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)))))) 1536826602.877 * [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 1536826602.877 * [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 1536826602.877 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n)))) in n 1536826602.877 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.877 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.877 * [misc]taylor: Taking taylor expansion of (* (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) (sqrt (/ 1 n))) in n 1536826602.877 * [misc]taylor: Taking taylor expansion of (* (sqrt 2) (* (log (* 2 n)) (pow (sqrt 1/2) 2))) in n 1536826602.877 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826602.877 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.877 * [misc]backup-simplify: Simplify 2 into 2 1536826602.877 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826602.877 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826602.877 * [misc]taylor: Taking taylor expansion of (* (log (* 2 n)) (pow (sqrt 1/2) 2)) in n 1536826602.878 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826602.878 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826602.878 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.878 * [misc]backup-simplify: Simplify 2 into 2 1536826602.878 * [misc]taylor: Taking taylor expansion of n in n 1536826602.878 * [misc]backup-simplify: Simplify 0 into 0 1536826602.878 * [misc]backup-simplify: Simplify 1 into 1 1536826602.878 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826602.878 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826602.878 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.878 * [misc]taylor: Taking taylor expansion of (pow (sqrt 1/2) 2) in n 1536826602.878 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826602.878 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.878 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.879 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826602.879 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826602.879 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536826602.879 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536826602.879 * [misc]taylor: Taking taylor expansion of n in n 1536826602.879 * [misc]backup-simplify: Simplify 0 into 0 1536826602.879 * [misc]backup-simplify: Simplify 1 into 1 1536826602.879 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.879 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.880 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.880 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2)))) in n 1536826602.880 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (sqrt (/ 1 n)) (sqrt 1/2))) in n 1536826602.880 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.880 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.880 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ 1 n)) (sqrt 1/2)) in n 1536826602.880 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 n)) in n 1536826602.880 * [misc]taylor: Taking taylor expansion of (/ 1 n) in n 1536826602.880 * [misc]taylor: Taking taylor expansion of n in n 1536826602.880 * [misc]backup-simplify: Simplify 0 into 0 1536826602.880 * [misc]backup-simplify: Simplify 1 into 1 1536826602.880 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.880 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.881 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.881 * [misc]taylor: Taking taylor expansion of (sqrt 1/2) in n 1536826602.881 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.881 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.881 * [misc]backup-simplify: Simplify (sqrt 1/2) into (sqrt 1/2) 1536826602.881 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1536826602.882 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.882 * [misc]backup-simplify: Simplify (* (sqrt 1/2) (sqrt 1/2)) into (pow (sqrt 1/2) 2) 1536826602.883 * [misc]backup-simplify: Simplify (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) into (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)) 1536826602.885 * [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))) 1536826602.885 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826602.885 * [misc]backup-simplify: Simplify (+ (* (sqrt 1/2) 0) (* 0 (sqrt 1/2))) into 0 1536826602.886 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536826602.888 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826602.890 * [misc]backup-simplify: Simplify (+ (* (+ (log 2) (log n)) 0) (* 0 (pow (sqrt 1/2) 2))) into 0 1536826602.895 * [misc]backup-simplify: Simplify (+ (* (sqrt 2) 0) (* 0 (* (+ (log 2) (log n)) (pow (sqrt 1/2) 2)))) into 0 1536826602.898 * [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))))))) 1536826602.900 * [misc]backup-simplify: Simplify (* (* (+ (log 2) (log n)) (* (sqrt 2) (pow (sqrt 1/2) 2))) 0) into 0 1536826602.908 * [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))))))) 1536826602.909 * [misc]backup-simplify: Simplify (+ (* 0 0) (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.909 * [misc]backup-simplify: Simplify (* 0 (sqrt 1/2)) into 0 1536826602.910 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (sqrt 1/2)))) (* 0 0)) into (- (* +nan.0 (sqrt 1/2))) 1536826602.911 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.919 * [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))))))))) 1536826602.928 * [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))))))) 1536826602.936 * [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))))))) 1536826602.938 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1536826602.938 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826602.939 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826602.940 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.942 * [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))) 1536826602.943 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (sqrt 1/2)))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.943 * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt 1/2))) into (- (* +nan.0 (sqrt 1/2))) 1536826602.957 * [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)))))))))))) 1536826602.957 * [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))) 1536826602.957 * [misc]approximate: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in (k n) around 0 1536826602.957 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.957 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.958 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.958 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.958 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.958 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.958 * [misc]taylor: Taking taylor expansion of k in n 1536826602.958 * [misc]backup-simplify: Simplify k into k 1536826602.958 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.958 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.958 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.958 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.958 * [misc]backup-simplify: Simplify 2 into 2 1536826602.958 * [misc]taylor: Taking taylor expansion of n in n 1536826602.958 * [misc]backup-simplify: Simplify 0 into 0 1536826602.958 * [misc]backup-simplify: Simplify 1 into 1 1536826602.958 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.959 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.959 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.959 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.959 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.959 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.960 * [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))) 1536826602.960 * [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)))) 1536826602.960 * [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))))) 1536826602.960 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826602.960 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.960 * [misc]taylor: Taking taylor expansion of k in n 1536826602.960 * [misc]backup-simplify: Simplify k into k 1536826602.961 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.961 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826602.961 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826602.961 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826602.961 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.961 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.961 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.961 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.961 * [misc]taylor: Taking taylor expansion of k in k 1536826602.961 * [misc]backup-simplify: Simplify 0 into 0 1536826602.961 * [misc]backup-simplify: Simplify 1 into 1 1536826602.961 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.962 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536826602.962 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536826602.962 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.962 * [misc]backup-simplify: Simplify 2 into 2 1536826602.962 * [misc]taylor: Taking taylor expansion of n in k 1536826602.962 * [misc]backup-simplify: Simplify n into n 1536826602.962 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536826602.962 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536826602.962 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.962 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.962 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.962 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536826602.963 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.963 * [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))))) 1536826602.963 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826602.963 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.963 * [misc]taylor: Taking taylor expansion of k in k 1536826602.963 * [misc]backup-simplify: Simplify 0 into 0 1536826602.963 * [misc]backup-simplify: Simplify 1 into 1 1536826602.963 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.963 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.964 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.964 * [misc]taylor: Taking taylor expansion of (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) (sqrt (/ 1 k))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.964 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826602.964 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.964 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of k in k 1536826602.964 * [misc]backup-simplify: Simplify 0 into 0 1536826602.964 * [misc]backup-simplify: Simplify 1 into 1 1536826602.964 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.964 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536826602.964 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536826602.965 * [misc]taylor: Taking taylor expansion of 2 in k 1536826602.965 * [misc]backup-simplify: Simplify 2 into 2 1536826602.965 * [misc]taylor: Taking taylor expansion of n in k 1536826602.965 * [misc]backup-simplify: Simplify n into n 1536826602.965 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536826602.965 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536826602.965 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826602.965 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826602.965 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826602.965 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536826602.966 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826602.966 * [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))))) 1536826602.966 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826602.966 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826602.966 * [misc]taylor: Taking taylor expansion of k in k 1536826602.966 * [misc]backup-simplify: Simplify 0 into 0 1536826602.966 * [misc]backup-simplify: Simplify 1 into 1 1536826602.966 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826602.966 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826602.967 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826602.967 * [misc]backup-simplify: Simplify (* (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) 0) into 0 1536826602.967 * [misc]taylor: Taking taylor expansion of 0 in n 1536826602.967 * [misc]backup-simplify: Simplify 0 into 0 1536826602.967 * [misc]backup-simplify: Simplify 0 into 0 1536826602.967 * [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 1536826602.968 * [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))))))) 1536826602.968 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.968 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.968 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.968 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.968 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.968 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of k in n 1536826602.968 * [misc]backup-simplify: Simplify k into k 1536826602.968 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.968 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.968 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.969 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.969 * [misc]backup-simplify: Simplify 2 into 2 1536826602.969 * [misc]taylor: Taking taylor expansion of n in n 1536826602.969 * [misc]backup-simplify: Simplify 0 into 0 1536826602.969 * [misc]backup-simplify: Simplify 1 into 1 1536826602.969 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.969 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.969 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.969 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.969 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.970 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.970 * [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))) 1536826602.970 * [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)))) 1536826602.971 * [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))))) 1536826602.971 * [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))))) 1536826602.971 * [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))))))) 1536826602.972 * [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))))))) 1536826602.972 * [misc]backup-simplify: Simplify 0 into 0 1536826602.972 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826602.973 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826602.974 * [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 1536826602.974 * [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))))))) 1536826602.974 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826602.974 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.975 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.975 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.975 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.975 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.975 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of k in n 1536826602.975 * [misc]backup-simplify: Simplify k into k 1536826602.975 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.975 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.975 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.975 * [misc]backup-simplify: Simplify 2 into 2 1536826602.975 * [misc]taylor: Taking taylor expansion of n in n 1536826602.975 * [misc]backup-simplify: Simplify 0 into 0 1536826602.975 * [misc]backup-simplify: Simplify 1 into 1 1536826602.975 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.976 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.976 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.976 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.976 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.976 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.977 * [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))) 1536826602.977 * [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)))) 1536826602.977 * [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))))) 1536826602.978 * [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))))) 1536826602.978 * [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))))))) 1536826602.978 * [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))))))) 1536826602.979 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536826602.981 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826602.981 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826602.982 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826602.982 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.982 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826602.982 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.983 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536826602.984 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826602.985 * [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 1536826602.986 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))) into 0 1536826602.986 * [misc]backup-simplify: Simplify (- 0) into 0 1536826602.986 * [misc]backup-simplify: Simplify 0 into 0 1536826602.986 * [misc]backup-simplify: Simplify 0 into 0 1536826602.986 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826602.988 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826602.988 * [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 1536826602.989 * [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))))))) 1536826602.989 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826602.989 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826602.989 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.989 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.989 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.989 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.989 * [misc]taylor: Taking taylor expansion of k in n 1536826602.989 * [misc]backup-simplify: Simplify k into k 1536826602.990 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.990 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826602.990 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826602.990 * [misc]taylor: Taking taylor expansion of 2 in n 1536826602.990 * [misc]backup-simplify: Simplify 2 into 2 1536826602.990 * [misc]taylor: Taking taylor expansion of n in n 1536826602.990 * [misc]backup-simplify: Simplify 0 into 0 1536826602.990 * [misc]backup-simplify: Simplify 1 into 1 1536826602.990 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826602.990 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826602.990 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.990 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826602.990 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826602.991 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826602.991 * [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))) 1536826602.992 * [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)))) 1536826602.992 * [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))))) 1536826602.992 * [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))))) 1536826602.993 * [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))))))) 1536826602.993 * [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))))))) 1536826602.995 * [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))))))))))) 1536826602.995 * [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))) 1536826602.996 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in (k n) around 0 1536826602.996 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of -1 in n 1536826602.996 * [misc]backup-simplify: Simplify -1 into -1 1536826602.996 * [misc]taylor: Taking taylor expansion of k in n 1536826602.996 * [misc]backup-simplify: Simplify k into k 1536826602.996 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826602.996 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826602.996 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826602.996 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826602.996 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.996 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.996 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826602.996 * [misc]taylor: Taking taylor expansion of k in n 1536826602.996 * [misc]backup-simplify: Simplify k into k 1536826602.997 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826602.997 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826602.997 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826602.997 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826602.997 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826602.997 * [misc]taylor: Taking taylor expansion of -2 in n 1536826602.997 * [misc]backup-simplify: Simplify -2 into -2 1536826602.997 * [misc]taylor: Taking taylor expansion of n in n 1536826602.997 * [misc]backup-simplify: Simplify 0 into 0 1536826602.997 * [misc]backup-simplify: Simplify 1 into 1 1536826602.997 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826602.997 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826602.997 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826602.997 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826602.998 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826602.998 * [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))) 1536826602.998 * [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)))) 1536826602.999 * [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))))) 1536826602.999 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826602.999 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826602.999 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826602.999 * [misc]taylor: Taking taylor expansion of -1 in k 1536826602.999 * [misc]backup-simplify: Simplify -1 into -1 1536826602.999 * [misc]taylor: Taking taylor expansion of k in k 1536826602.999 * [misc]backup-simplify: Simplify 0 into 0 1536826602.999 * [misc]backup-simplify: Simplify 1 into 1 1536826602.999 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826602.999 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.000 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826603.000 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.000 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.000 * [misc]taylor: Taking taylor expansion of k in k 1536826603.000 * [misc]backup-simplify: Simplify 0 into 0 1536826603.000 * [misc]backup-simplify: Simplify 1 into 1 1536826603.000 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.000 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.000 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.000 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536826603.001 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536826603.001 * [misc]taylor: Taking taylor expansion of -2 in k 1536826603.001 * [misc]backup-simplify: Simplify -2 into -2 1536826603.001 * [misc]taylor: Taking taylor expansion of n in k 1536826603.001 * [misc]backup-simplify: Simplify n into n 1536826603.001 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536826603.001 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536826603.001 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.001 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.001 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536826603.001 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.002 * [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))) 1536826603.002 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in k 1536826603.002 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826603.002 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826603.002 * [misc]taylor: Taking taylor expansion of -1 in k 1536826603.002 * [misc]backup-simplify: Simplify -1 into -1 1536826603.002 * [misc]taylor: Taking taylor expansion of k in k 1536826603.002 * [misc]backup-simplify: Simplify 0 into 0 1536826603.002 * [misc]backup-simplify: Simplify 1 into 1 1536826603.002 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826603.002 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.003 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826603.003 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.003 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of k in k 1536826603.003 * [misc]backup-simplify: Simplify 0 into 0 1536826603.003 * [misc]backup-simplify: Simplify 1 into 1 1536826603.003 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.003 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.003 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.003 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536826603.003 * [misc]taylor: Taking taylor expansion of -2 in k 1536826603.003 * [misc]backup-simplify: Simplify -2 into -2 1536826603.003 * [misc]taylor: Taking taylor expansion of n in k 1536826603.004 * [misc]backup-simplify: Simplify n into n 1536826603.004 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536826603.004 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536826603.004 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.004 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.004 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536826603.004 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.004 * [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))) 1536826603.005 * [misc]taylor: Taking taylor expansion of (/ +nan.0 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.005 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.005 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.005 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of k in n 1536826603.005 * [misc]backup-simplify: Simplify k into k 1536826603.005 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.005 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.005 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.005 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.005 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.005 * [misc]backup-simplify: Simplify -2 into -2 1536826603.005 * [misc]taylor: Taking taylor expansion of n in n 1536826603.005 * [misc]backup-simplify: Simplify 0 into 0 1536826603.005 * [misc]backup-simplify: Simplify 1 into 1 1536826603.005 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.006 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.006 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.006 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.006 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.006 * [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))) 1536826603.007 * [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)))) 1536826603.008 * [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))))) 1536826603.008 * [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))))) 1536826603.008 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826603.010 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826603.010 * [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))))) 1536826603.010 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826603.010 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826603.010 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.010 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.010 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826603.010 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.011 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of k in n 1536826603.011 * [misc]backup-simplify: Simplify k into k 1536826603.011 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.011 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.011 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.011 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.011 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.011 * [misc]backup-simplify: Simplify -2 into -2 1536826603.011 * [misc]taylor: Taking taylor expansion of n in n 1536826603.011 * [misc]backup-simplify: Simplify 0 into 0 1536826603.011 * [misc]backup-simplify: Simplify 1 into 1 1536826603.011 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.012 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.012 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.012 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.012 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.012 * [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))) 1536826603.013 * [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)))) 1536826603.013 * [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))))) 1536826603.014 * [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))))) 1536826603.014 * [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))))))) 1536826603.014 * [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))))))) 1536826603.015 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536826603.017 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536826603.018 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.018 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826603.018 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.018 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.019 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536826603.020 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826603.021 * [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 1536826603.021 * [misc]backup-simplify: Simplify 0 into 0 1536826603.022 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826603.023 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826603.024 * [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))))) 1536826603.024 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.024 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.024 * [misc]taylor: Taking taylor expansion of (/ 1 (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2))) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.024 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.024 * [misc]taylor: Taking taylor expansion of k in n 1536826603.024 * [misc]backup-simplify: Simplify k into k 1536826603.024 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.024 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.024 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.025 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.025 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.025 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.025 * [misc]backup-simplify: Simplify -2 into -2 1536826603.025 * [misc]taylor: Taking taylor expansion of n in n 1536826603.025 * [misc]backup-simplify: Simplify 0 into 0 1536826603.025 * [misc]backup-simplify: Simplify 1 into 1 1536826603.025 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.025 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.025 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.025 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.026 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.026 * [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))) 1536826603.026 * [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)))) 1536826603.027 * [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))))) 1536826603.027 * [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))))) 1536826603.028 * [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))))))) 1536826603.028 * [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))))))) 1536826603.030 * [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))))))))) 1536826603.030 * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) 1536826603.031 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) into (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) 1536826603.031 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in (k n) around 0 1536826603.031 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.031 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826603.031 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.031 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.031 * [misc]taylor: Taking taylor expansion of k in n 1536826603.031 * [misc]backup-simplify: Simplify k into k 1536826603.031 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826603.032 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826603.032 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.032 * [misc]backup-simplify: Simplify 2 into 2 1536826603.032 * [misc]taylor: Taking taylor expansion of n in n 1536826603.032 * [misc]backup-simplify: Simplify 0 into 0 1536826603.032 * [misc]backup-simplify: Simplify 1 into 1 1536826603.032 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826603.032 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826603.032 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.032 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826603.032 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826603.033 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826603.033 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826603.033 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (+ (log 2) (log n))) into (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k))) 1536826603.034 * [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)))) 1536826603.034 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.034 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.034 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.034 * [misc]taylor: Taking taylor expansion of k in n 1536826603.034 * [misc]backup-simplify: Simplify k into k 1536826603.034 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.034 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.034 * [misc]backup-simplify: Simplify PI into PI 1536826603.034 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.034 * [misc]backup-simplify: Simplify (* 1/2 k) into (* 1/2 k) 1536826603.035 * [misc]backup-simplify: Simplify (- (* 1/2 k)) into (- (* 1/2 k)) 1536826603.035 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 k))) into (- 1/2 (* 1/2 k)) 1536826603.035 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 k)) (log PI)) into (* (- 1/2 (* 1/2 k)) (log PI)) 1536826603.036 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 k)) (log PI))) into (pow PI (- 1/2 (* 1/2 k))) 1536826603.036 * [misc]backup-simplify: Simplify (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) into (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k)))) 1536826603.037 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) into (/ 1 (* (exp (* (+ (log 2) (log n)) (- 1/2 (* 1/2 k)))) (pow PI (- 1/2 (* 1/2 k))))) 1536826603.037 * [misc]taylor: Taking taylor expansion of (sqrt k) in n 1536826603.037 * [misc]taylor: Taking taylor expansion of k in n 1536826603.037 * [misc]backup-simplify: Simplify k into k 1536826603.037 * [misc]backup-simplify: Simplify (sqrt k) into (sqrt k) 1536826603.037 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt k))) into 0 1536826603.037 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.037 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.037 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.037 * [misc]taylor: Taking taylor expansion of k in k 1536826603.037 * [misc]backup-simplify: Simplify 0 into 0 1536826603.037 * [misc]backup-simplify: Simplify 1 into 1 1536826603.037 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536826603.037 * [misc]taylor: Taking taylor expansion of 2 in k 1536826603.037 * [misc]backup-simplify: Simplify 2 into 2 1536826603.037 * [misc]taylor: Taking taylor expansion of n in k 1536826603.037 * [misc]backup-simplify: Simplify n into n 1536826603.038 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536826603.038 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536826603.038 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826603.038 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.038 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.038 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536826603.038 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536826603.038 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536826603.038 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536826603.038 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536826603.038 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826603.038 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.038 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.039 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826603.039 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.039 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.039 * [misc]taylor: Taking taylor expansion of k in k 1536826603.039 * [misc]backup-simplify: Simplify 0 into 0 1536826603.039 * [misc]backup-simplify: Simplify 1 into 1 1536826603.039 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.039 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.039 * [misc]backup-simplify: Simplify PI into PI 1536826603.039 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.039 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826603.039 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.040 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.040 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826603.041 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536826603.042 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1536826603.042 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1536826603.042 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826603.042 * [misc]taylor: Taking taylor expansion of k in k 1536826603.042 * [misc]backup-simplify: Simplify 0 into 0 1536826603.042 * [misc]backup-simplify: Simplify 1 into 1 1536826603.042 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.043 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826603.043 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) (sqrt k)) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k))))) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (* (pow (* 2 n) (- 1/2 (* 1/2 k))) (pow PI (- 1/2 (* 1/2 k)))) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (pow (* 2 n) (- 1/2 (* 1/2 k))) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log (* 2 n)))) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log (* 2 n))) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.043 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.043 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.043 * [misc]taylor: Taking taylor expansion of k in k 1536826603.043 * [misc]backup-simplify: Simplify 0 into 0 1536826603.043 * [misc]backup-simplify: Simplify 1 into 1 1536826603.043 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of (* 2 n) in k 1536826603.043 * [misc]taylor: Taking taylor expansion of 2 in k 1536826603.043 * [misc]backup-simplify: Simplify 2 into 2 1536826603.043 * [misc]taylor: Taking taylor expansion of n in k 1536826603.043 * [misc]backup-simplify: Simplify n into n 1536826603.043 * [misc]backup-simplify: Simplify (* 2 n) into (* 2 n) 1536826603.043 * [misc]backup-simplify: Simplify (log (* 2 n)) into (log (* 2 n)) 1536826603.044 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826603.044 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.044 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.044 * [misc]backup-simplify: Simplify (* 1/2 (log (* 2 n))) into (* 1/2 (log (* 2 n))) 1536826603.044 * [misc]backup-simplify: Simplify (exp (* 1/2 (log (* 2 n)))) into (pow (* 2 n) 1/2) 1536826603.044 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 k))) in k 1536826603.044 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 k)) (log PI))) in k 1536826603.044 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 k)) (log PI)) in k 1536826603.044 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 k)) in k 1536826603.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.044 * [misc]taylor: Taking taylor expansion of (* 1/2 k) in k 1536826603.044 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.044 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.044 * [misc]taylor: Taking taylor expansion of k in k 1536826603.044 * [misc]backup-simplify: Simplify 0 into 0 1536826603.044 * [misc]backup-simplify: Simplify 1 into 1 1536826603.045 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.045 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.045 * [misc]backup-simplify: Simplify PI into PI 1536826603.045 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.045 * [misc]backup-simplify: Simplify (* 1/2 0) into 0 1536826603.045 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.045 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.046 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826603.047 * [misc]backup-simplify: Simplify (exp (* 1/2 (log PI))) into (pow PI 1/2) 1536826603.048 * [misc]backup-simplify: Simplify (* (pow (* 2 n) 1/2) (pow PI 1/2)) into (sqrt (* PI (* n 2))) 1536826603.048 * [misc]backup-simplify: Simplify (/ 1 (sqrt (* PI (* n 2)))) into (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 1536826603.048 * [misc]taylor: Taking taylor expansion of (sqrt k) in k 1536826603.048 * [misc]taylor: Taking taylor expansion of k in k 1536826603.048 * [misc]backup-simplify: Simplify 0 into 0 1536826603.048 * [misc]backup-simplify: Simplify 1 into 1 1536826603.048 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.049 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826603.049 * [misc]backup-simplify: Simplify (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) 0) into 0 1536826603.049 * [misc]taylor: Taking taylor expansion of 0 in n 1536826603.049 * [misc]backup-simplify: Simplify 0 into 0 1536826603.050 * [misc]backup-simplify: Simplify 0 into 0 1536826603.052 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536826603.053 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826603.053 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.053 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.054 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log PI))) into (- (* 1/2 (log PI))) 1536826603.063 * [misc]backup-simplify: Simplify (* (exp (* 1/2 (log PI))) (+ (* (/ (pow (- (* 1/2 (log PI))) 1) 1)))) into (* -1/2 (* (log PI) (sqrt PI))) 1536826603.063 * [misc]backup-simplify: Simplify (+ (* 2 0) (* 0 n)) into 0 1536826603.064 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2 n) 1)))) 1) into 0 1536826603.064 * [misc]backup-simplify: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 1536826603.065 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.065 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.065 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* -1/2 (log (* 2 n)))) into (- (* 1/2 (log (* 2 n)))) 1536826603.066 * [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)))) 1536826603.068 * [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)))))) 1536826603.071 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 1536826603.074 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) 0)) into (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1536826603.074 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))))) in n 1536826603.074 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1536826603.074 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.074 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.074 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1536826603.074 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1536826603.074 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826603.074 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.074 * [misc]backup-simplify: Simplify 2 into 2 1536826603.074 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826603.074 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826603.075 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1536826603.075 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826603.075 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826603.075 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826603.075 * [misc]taylor: Taking taylor expansion of n in n 1536826603.075 * [misc]backup-simplify: Simplify 0 into 0 1536826603.075 * [misc]backup-simplify: Simplify 1 into 1 1536826603.075 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.075 * [misc]backup-simplify: Simplify PI into PI 1536826603.076 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826603.077 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826603.077 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826603.077 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.078 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826603.078 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536826603.080 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.080 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1536826603.082 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.084 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.086 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.086 * [misc]backup-simplify: Simplify 0 into 0 1536826603.087 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826603.092 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 1536826603.092 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826603.092 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.093 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.094 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log PI)))) into 0 1536826603.099 * [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))) 1536826603.100 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 n))) into 0 1536826603.102 * [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 1536826603.102 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 1536826603.102 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.102 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.103 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (+ (* -1/2 0) (* 0 (log (* 2 n))))) into 0 1536826603.104 * [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))) 1536826603.111 * [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))))))) 1536826603.128 * [misc]backup-simplify: Simplify (- (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) (/ (+ (* 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))))))) (sqrt (* PI (* n 2))))) (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) (/ (- (+ (* 1/2 (* (* (sqrt 2) (log PI)) (sqrt (* PI n)))) (* 1/2 (* (* (sqrt 2) (log (* 2 n))) (sqrt (* PI n)))))) (sqrt (* PI (* n 2))))))) into (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 1536826603.143 * [misc]backup-simplify: Simplify (+ (* (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) +nan.0) (+ (* (+ (* 1/2 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/2 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) +nan.0) (* (- (+ (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log PI) (log (* 2 n))) (sqrt 2)))) (+ (* 1/8 (* (/ (pow (log PI) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (+ (* 1/8 (* (/ (pow (log (* 2 n)) 2) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (* 1/4 (* (sqrt (/ 1 (* PI n))) (/ (* (log (* 2 n)) (log PI)) (sqrt 2))))))) (* 1/4 (* (/ (* (log (* 2 n)) (log PI)) (sqrt 2)) (sqrt (/ 1 (* n PI)))))) 0))) into (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) 1536826603.143 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))))) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))))) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.143 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.143 * [misc]taylor: Taking taylor expansion of (* (/ (log PI) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of (/ (log PI) (sqrt 2)) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.143 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.143 * [misc]backup-simplify: Simplify PI into PI 1536826603.143 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.143 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826603.144 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.144 * [misc]backup-simplify: Simplify 2 into 2 1536826603.144 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826603.144 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826603.145 * [misc]backup-simplify: Simplify (/ (log PI) (sqrt 2)) into (/ (log PI) (sqrt 2)) 1536826603.145 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1536826603.145 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1536826603.145 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1536826603.145 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.145 * [misc]backup-simplify: Simplify PI into PI 1536826603.145 * [misc]taylor: Taking taylor expansion of n in n 1536826603.145 * [misc]backup-simplify: Simplify 0 into 0 1536826603.145 * [misc]backup-simplify: Simplify 1 into 1 1536826603.145 * [misc]backup-simplify: Simplify (* PI 0) into 0 1536826603.146 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1536826603.146 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826603.146 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.147 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826603.147 * [misc]taylor: Taking taylor expansion of (- (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))))) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of (+ (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))))) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI))))) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.147 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.147 * [misc]taylor: Taking taylor expansion of (* (/ 1 (sqrt 2)) (sqrt (/ 1 (* n PI)))) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of (/ 1 (sqrt 2)) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826603.147 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.147 * [misc]backup-simplify: Simplify 2 into 2 1536826603.148 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826603.148 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826603.148 * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) 1536826603.148 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* n PI))) in n 1536826603.148 * [misc]taylor: Taking taylor expansion of (/ 1 (* n PI)) in n 1536826603.148 * [misc]taylor: Taking taylor expansion of (* n PI) in n 1536826603.148 * [misc]taylor: Taking taylor expansion of n in n 1536826603.148 * [misc]backup-simplify: Simplify 0 into 0 1536826603.148 * [misc]backup-simplify: Simplify 1 into 1 1536826603.148 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.148 * [misc]backup-simplify: Simplify PI into PI 1536826603.149 * [misc]backup-simplify: Simplify (* 0 PI) into 0 1536826603.149 * [misc]backup-simplify: Simplify (+ (* 0 0) (* 1 PI)) into PI 1536826603.150 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826603.150 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.151 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826603.151 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))))) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of (* +nan.0 (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n))))) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.151 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.151 * [misc]taylor: Taking taylor expansion of (* (/ (log (* 2 n)) (sqrt 2)) (sqrt (/ 1 (* PI n)))) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of (/ (log (* 2 n)) (sqrt 2)) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of (log (* 2 n)) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of (* 2 n) in n 1536826603.151 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.151 * [misc]backup-simplify: Simplify 2 into 2 1536826603.151 * [misc]taylor: Taking taylor expansion of n in n 1536826603.151 * [misc]backup-simplify: Simplify 0 into 0 1536826603.151 * [misc]backup-simplify: Simplify 1 into 1 1536826603.151 * [misc]backup-simplify: Simplify (* 2 0) into 0 1536826603.152 * [misc]backup-simplify: Simplify (+ (* 2 1) (* 0 0)) into 2 1536826603.152 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.152 * [misc]taylor: Taking taylor expansion of (sqrt 2) in n 1536826603.152 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.152 * [misc]backup-simplify: Simplify 2 into 2 1536826603.152 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) 1536826603.152 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 1536826603.153 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826603.153 * [misc]backup-simplify: Simplify (+ (* (- -1) (log n)) (log 2)) into (+ (log 2) (log n)) 1536826603.153 * [misc]backup-simplify: Simplify (/ (+ (log 2) (log n)) (sqrt 2)) into (/ (+ (log 2) (log n)) (sqrt 2)) 1536826603.153 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 (* PI n))) in n 1536826603.153 * [misc]taylor: Taking taylor expansion of (/ 1 (* PI n)) in n 1536826603.153 * [misc]taylor: Taking taylor expansion of (* PI n) in n 1536826603.153 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.154 * [misc]backup-simplify: Simplify PI into PI 1536826603.154 * [misc]taylor: Taking taylor expansion of n in n 1536826603.154 * [misc]backup-simplify: Simplify 0 into 0 1536826603.154 * [misc]backup-simplify: Simplify 1 into 1 1536826603.154 * [misc]backup-simplify: Simplify (* PI 0) into 0 1536826603.155 * [misc]backup-simplify: Simplify (+ (* PI 1) (* 0 0)) into PI 1536826603.155 * [misc]backup-simplify: Simplify (/ 1 PI) into (/ 1 PI) 1536826603.155 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.156 * [misc]backup-simplify: Simplify (/ (/ 1 PI) (* 2 (sqrt 0))) into (/ +nan.0 PI) 1536826603.159 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536826603.161 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (log PI) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536826603.163 * [misc]backup-simplify: Simplify (+ (* (/ (log PI) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1536826603.164 * [misc]backup-simplify: Simplify (* (/ (log PI) (sqrt 2)) 0) into 0 1536826603.167 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) 1536826603.167 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536826603.169 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.169 * [misc]backup-simplify: Simplify (* (/ 1 (sqrt 2)) 0) into 0 1536826603.172 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0)) into (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) 1536826603.172 * [misc]backup-simplify: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 1536826603.175 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826603.176 * [misc]backup-simplify: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 1536826603.176 * [misc]backup-simplify: Simplify (+ (* (/ (+ (log 2) (log n)) (sqrt 2)) (/ +nan.0 PI)) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536826603.177 * [misc]backup-simplify: Simplify (* (/ (+ (log 2) (log n)) (sqrt 2)) 0) into 0 1536826603.179 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) (* 0 0)) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536826603.181 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))) 1536826603.185 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1536826603.188 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))) 1536826603.194 * [misc]backup-simplify: Simplify (+ (- (* +nan.0 (/ (log PI) (* (sqrt 2) PI)))) (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536826603.199 * [misc]backup-simplify: Simplify (- (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI))))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536826603.207 * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) into (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) 1536826603.208 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 1536826603.209 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 PI) (/ 0 PI)))) into 0 1536826603.210 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ +nan.0 PI) 2) (+)) (* 2 0)) into (/ +nan.0 (pow PI 2)) 1536826603.211 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 1536826603.211 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 1536826603.213 * [misc]backup-simplify: Simplify (+ (* (/ 1 (sqrt 2)) (/ +nan.0 (pow PI 2))) (+ (* 0 (/ +nan.0 PI)) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536826603.217 * [misc]backup-simplify: Simplify (+ (* +nan.0 (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) (+ (* 0 (- (* +nan.0 (/ 1 (* (sqrt 2) PI))))) (* 0 0))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536826603.218 * [misc]backup-simplify: Simplify (- (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2)))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536826603.220 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) into (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) 1536826603.226 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (sqrt 2) (pow PI 2))))) (* n k)) (+ (* (- (+ (* +nan.0 (/ (log 2) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ 1 (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (log PI) (* (sqrt 2) PI))) (- (* +nan.0 (/ (log n) (* (sqrt 2) PI)))))))))) (pow (* 1 k) 2)) (* (- (* +nan.0 (/ 1 (* (sqrt 2) PI)))) (* 1 k)))) into (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1536826603.227 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 k) 2)))) (/ (sqrt (/ 1 k)) (pow (* (/ 1 n) 2) (- 1/2 (/ (/ 1 k) 2))))) into (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) 1536826603.227 * [misc]approximate: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in (k n) around 0 1536826603.227 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826603.227 * [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 1536826603.227 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.227 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.227 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.227 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of k in n 1536826603.227 * [misc]backup-simplify: Simplify k into k 1536826603.227 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.227 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.227 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.227 * [misc]backup-simplify: Simplify PI into PI 1536826603.228 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.228 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.228 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.228 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.228 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536826603.228 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.228 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.228 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.228 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.228 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.228 * [misc]taylor: Taking taylor expansion of k in n 1536826603.228 * [misc]backup-simplify: Simplify k into k 1536826603.229 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.229 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826603.229 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826603.229 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.229 * [misc]backup-simplify: Simplify 2 into 2 1536826603.229 * [misc]taylor: Taking taylor expansion of n in n 1536826603.229 * [misc]backup-simplify: Simplify 0 into 0 1536826603.229 * [misc]backup-simplify: Simplify 1 into 1 1536826603.229 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826603.229 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.229 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.229 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.229 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.229 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826603.229 * [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))) 1536826603.230 * [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)))) 1536826603.230 * [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))))) 1536826603.230 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536826603.230 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in n 1536826603.230 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.230 * [misc]taylor: Taking taylor expansion of k in n 1536826603.230 * [misc]backup-simplify: Simplify k into k 1536826603.230 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.230 * [misc]backup-simplify: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 1536826603.231 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.231 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 1536826603.231 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1536826603.231 * [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 1536826603.231 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.231 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.231 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.231 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of k in k 1536826603.231 * [misc]backup-simplify: Simplify 0 into 0 1536826603.231 * [misc]backup-simplify: Simplify 1 into 1 1536826603.231 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.231 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.231 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.231 * [misc]backup-simplify: Simplify PI into PI 1536826603.231 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.231 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.232 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.232 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.232 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536826603.232 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.232 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.232 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.232 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.232 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.232 * [misc]taylor: Taking taylor expansion of k in k 1536826603.232 * [misc]backup-simplify: Simplify 0 into 0 1536826603.232 * [misc]backup-simplify: Simplify 1 into 1 1536826603.233 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.233 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536826603.233 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536826603.233 * [misc]taylor: Taking taylor expansion of 2 in k 1536826603.233 * [misc]backup-simplify: Simplify 2 into 2 1536826603.233 * [misc]taylor: Taking taylor expansion of n in k 1536826603.233 * [misc]backup-simplify: Simplify n into n 1536826603.233 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536826603.233 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536826603.233 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.233 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.233 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.233 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536826603.233 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.233 * [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))))) 1536826603.234 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826603.234 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of k in k 1536826603.234 * [misc]backup-simplify: Simplify 0 into 0 1536826603.234 * [misc]backup-simplify: Simplify 1 into 1 1536826603.234 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.234 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.234 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826603.234 * [misc]taylor: Taking taylor expansion of (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (sqrt (/ 1 k))) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in k 1536826603.234 * [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 1536826603.234 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.234 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.234 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.234 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.234 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.235 * [misc]taylor: Taking taylor expansion of k in k 1536826603.235 * [misc]backup-simplify: Simplify 0 into 0 1536826603.235 * [misc]backup-simplify: Simplify 1 into 1 1536826603.235 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.235 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.235 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.235 * [misc]backup-simplify: Simplify PI into PI 1536826603.235 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.235 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.235 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.235 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.236 * [misc]backup-simplify: Simplify (* -1/2 (log PI)) into (* -1/2 (log PI)) 1536826603.236 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.236 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.236 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.236 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.236 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of k in k 1536826603.236 * [misc]backup-simplify: Simplify 0 into 0 1536826603.236 * [misc]backup-simplify: Simplify 1 into 1 1536826603.236 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.236 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of (/ 2 n) in k 1536826603.236 * [misc]taylor: Taking taylor expansion of 2 in k 1536826603.236 * [misc]backup-simplify: Simplify 2 into 2 1536826603.236 * [misc]taylor: Taking taylor expansion of n in k 1536826603.236 * [misc]backup-simplify: Simplify n into n 1536826603.236 * [misc]backup-simplify: Simplify (/ 2 n) into (/ 2 n) 1536826603.236 * [misc]backup-simplify: Simplify (log (/ 2 n)) into (log (/ 2 n)) 1536826603.236 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.237 * [misc]backup-simplify: Simplify (- 1/2) into -1/2 1536826603.237 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 1536826603.237 * [misc]backup-simplify: Simplify (* -1/2 (log (/ 2 n))) into (* -1/2 (log (/ 2 n))) 1536826603.237 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) into (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.237 * [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))))) 1536826603.237 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 1536826603.237 * [misc]taylor: Taking taylor expansion of (sqrt (/ 1 k)) in k 1536826603.237 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.237 * [misc]taylor: Taking taylor expansion of k in k 1536826603.237 * [misc]backup-simplify: Simplify 0 into 0 1536826603.237 * [misc]backup-simplify: Simplify 1 into 1 1536826603.237 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.238 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.238 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1536826603.238 * [misc]backup-simplify: Simplify (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) 0) into 0 1536826603.238 * [misc]taylor: Taking taylor expansion of 0 in n 1536826603.238 * [misc]backup-simplify: Simplify 0 into 0 1536826603.238 * [misc]backup-simplify: Simplify 0 into 0 1536826603.238 * [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 1536826603.239 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536826603.239 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536826603.239 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.239 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.239 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826603.239 * [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 1536826603.239 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.239 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.240 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.240 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.240 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.240 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.240 * [misc]taylor: Taking taylor expansion of k in n 1536826603.240 * [misc]backup-simplify: Simplify k into k 1536826603.240 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.240 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.240 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.240 * [misc]backup-simplify: Simplify PI into PI 1536826603.240 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.240 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.240 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.240 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.240 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536826603.241 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.241 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.241 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.241 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.241 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of k in n 1536826603.241 * [misc]backup-simplify: Simplify k into k 1536826603.241 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.241 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826603.241 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.241 * [misc]backup-simplify: Simplify 2 into 2 1536826603.241 * [misc]taylor: Taking taylor expansion of n in n 1536826603.241 * [misc]backup-simplify: Simplify 0 into 0 1536826603.241 * [misc]backup-simplify: Simplify 1 into 1 1536826603.241 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826603.241 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.241 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.241 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.241 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.242 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826603.242 * [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))) 1536826603.242 * [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)))) 1536826603.242 * [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))))) 1536826603.243 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536826603.243 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536826603.243 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.244 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.244 * [misc]backup-simplify: Simplify 0 into 0 1536826603.244 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1536826603.245 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826603.245 * [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 1536826603.246 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536826603.246 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536826603.246 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.246 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.246 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826603.246 * [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 1536826603.246 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.246 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.246 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.246 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.246 * [misc]taylor: Taking taylor expansion of k in n 1536826603.246 * [misc]backup-simplify: Simplify k into k 1536826603.247 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.247 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.247 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.247 * [misc]backup-simplify: Simplify PI into PI 1536826603.247 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.247 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.247 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.247 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.247 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536826603.248 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.248 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.248 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.248 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.248 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of k in n 1536826603.248 * [misc]backup-simplify: Simplify k into k 1536826603.248 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.248 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826603.248 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.248 * [misc]backup-simplify: Simplify 2 into 2 1536826603.248 * [misc]taylor: Taking taylor expansion of n in n 1536826603.248 * [misc]backup-simplify: Simplify 0 into 0 1536826603.248 * [misc]backup-simplify: Simplify 1 into 1 1536826603.248 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826603.248 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.248 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.248 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.248 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.249 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826603.249 * [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))) 1536826603.249 * [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)))) 1536826603.249 * [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))))) 1536826603.250 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536826603.250 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536826603.250 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.251 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.251 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 2 (/ 0 1)))) into 0 1536826603.253 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 1536826603.253 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.253 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826603.253 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.253 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.253 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826603.254 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (- (log 2) (log n)))) into 0 1536826603.254 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826603.256 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536826603.256 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.256 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826603.256 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.257 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.257 * [misc]backup-simplify: Simplify (+ (* (- 1/2 (* 1/2 (/ 1 k))) 0) (* 0 (log PI))) into 0 1536826603.258 * [misc]backup-simplify: Simplify (* (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826603.258 * [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 1536826603.259 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n))))))))) into 0 1536826603.259 * [misc]backup-simplify: Simplify (+ (* +nan.0 0) (* 0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into 0 1536826603.259 * [misc]backup-simplify: Simplify (- 0) into 0 1536826603.259 * [misc]backup-simplify: Simplify 0 into 0 1536826603.260 * [misc]backup-simplify: Simplify 0 into 0 1536826603.260 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826603.260 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826603.261 * [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 1536826603.262 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) (* 0 (/ 0 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))))) into 0 1536826603.262 * [misc]backup-simplify: Simplify (+ (* (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) 1536826603.262 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))))) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k))))))) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.262 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.262 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))))) in n 1536826603.262 * [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 1536826603.262 * [misc]taylor: Taking taylor expansion of (pow PI (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.262 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.262 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.262 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.262 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.263 * [misc]taylor: Taking taylor expansion of k in n 1536826603.263 * [misc]backup-simplify: Simplify k into k 1536826603.263 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.263 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.263 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.263 * [misc]backup-simplify: Simplify PI into PI 1536826603.263 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.263 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.263 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.263 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.263 * [misc]backup-simplify: Simplify (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) into (* (- 1/2 (* 1/2 (/ 1 k))) (log PI)) 1536826603.264 * [misc]backup-simplify: Simplify (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log PI))) into (pow PI (- 1/2 (* 1/2 (/ 1 k)))) 1536826603.264 * [misc]taylor: Taking taylor expansion of (pow (/ 2 n) (- 1/2 (* 1/2 (/ 1 k)))) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of (exp (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n)))) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of (* (- 1/2 (* 1/2 (/ 1 k))) (log (/ 2 n))) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of (- 1/2 (* 1/2 (/ 1 k))) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.264 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.264 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.264 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of k in n 1536826603.264 * [misc]backup-simplify: Simplify k into k 1536826603.264 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.264 * [misc]taylor: Taking taylor expansion of (log (/ 2 n)) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of (/ 2 n) in n 1536826603.264 * [misc]taylor: Taking taylor expansion of 2 in n 1536826603.264 * [misc]backup-simplify: Simplify 2 into 2 1536826603.264 * [misc]taylor: Taking taylor expansion of n in n 1536826603.264 * [misc]backup-simplify: Simplify 0 into 0 1536826603.264 * [misc]backup-simplify: Simplify 1 into 1 1536826603.264 * [misc]backup-simplify: Simplify (/ 2 1) into 2 1536826603.264 * [misc]backup-simplify: Simplify (log 2) into (log 2) 1536826603.264 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.264 * [misc]backup-simplify: Simplify (- (/ 1/2 k)) into (- (* 1/2 (/ 1 k))) 1536826603.264 * [misc]backup-simplify: Simplify (+ 1/2 (- (* 1/2 (/ 1 k)))) into (- 1/2 (* 1/2 (/ 1 k))) 1536826603.265 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log 2)) into (- (log 2) (log n)) 1536826603.265 * [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))) 1536826603.265 * [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)))) 1536826603.265 * [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))))) 1536826603.266 * [misc]backup-simplify: Simplify (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) into (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))) 1536826603.266 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))))) 1536826603.267 * [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 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.267 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) into (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 k)))) (exp (* (- 1/2 (* 1/2 (/ 1 k))) (- (log 2) (log n)))))))) 1536826603.269 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 (/ 1 (/ 1 k))))) (exp (* (- 1/2 (* 1/2 (/ 1 (/ 1 k)))) (- (log 2) (log (/ 1 n))))))))))) into (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1536826603.269 * [misc]backup-simplify: Simplify (* (/ 1 (pow PI (- 1/2 (/ (/ 1 (- k)) 2)))) (/ (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)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.269 * [misc]approximate: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in (k n) around 0 1536826603.269 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (/ -1 k) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of -1 in n 1536826603.269 * [misc]backup-simplify: Simplify -1 into -1 1536826603.269 * [misc]taylor: Taking taylor expansion of k in n 1536826603.269 * [misc]backup-simplify: Simplify k into k 1536826603.269 * [misc]backup-simplify: Simplify (/ -1 k) into (/ -1 k) 1536826603.269 * [misc]backup-simplify: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 1536826603.269 * [misc]backup-simplify: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 1536826603.269 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 1536826603.269 * [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 1536826603.269 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.269 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.270 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.270 * [misc]taylor: Taking taylor expansion of k in n 1536826603.270 * [misc]backup-simplify: Simplify k into k 1536826603.270 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.270 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.270 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.270 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.270 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.270 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.270 * [misc]backup-simplify: Simplify -2 into -2 1536826603.270 * [misc]taylor: Taking taylor expansion of n in n 1536826603.270 * [misc]backup-simplify: Simplify 0 into 0 1536826603.270 * [misc]backup-simplify: Simplify 1 into 1 1536826603.270 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.270 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.270 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.270 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.271 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.271 * [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))) 1536826603.271 * [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)))) 1536826603.271 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.271 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of k in n 1536826603.271 * [misc]backup-simplify: Simplify k into k 1536826603.271 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.271 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.271 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.271 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.271 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.271 * [misc]backup-simplify: Simplify PI into PI 1536826603.272 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.272 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.272 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.272 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536826603.273 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.273 * [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))) 1536826603.274 * [misc]backup-simplify: Simplify (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ (sqrt (/ -1 k)) (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.274 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1536826603.274 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826603.274 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826603.274 * [misc]taylor: Taking taylor expansion of -1 in k 1536826603.274 * [misc]backup-simplify: Simplify -1 into -1 1536826603.274 * [misc]taylor: Taking taylor expansion of k in k 1536826603.274 * [misc]backup-simplify: Simplify 0 into 0 1536826603.274 * [misc]backup-simplify: Simplify 1 into 1 1536826603.274 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826603.275 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.275 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826603.275 * [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 1536826603.275 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.275 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.275 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.275 * [misc]taylor: Taking taylor expansion of k in k 1536826603.275 * [misc]backup-simplify: Simplify 0 into 0 1536826603.276 * [misc]backup-simplify: Simplify 1 into 1 1536826603.276 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.276 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.276 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.276 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536826603.276 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536826603.276 * [misc]taylor: Taking taylor expansion of -2 in k 1536826603.276 * [misc]backup-simplify: Simplify -2 into -2 1536826603.276 * [misc]taylor: Taking taylor expansion of n in k 1536826603.276 * [misc]backup-simplify: Simplify n into n 1536826603.276 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536826603.276 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536826603.276 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.276 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.276 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536826603.277 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.277 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.277 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of k in k 1536826603.277 * [misc]backup-simplify: Simplify 0 into 0 1536826603.277 * [misc]backup-simplify: Simplify 1 into 1 1536826603.277 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.277 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.277 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.277 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.277 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.277 * [misc]backup-simplify: Simplify PI into PI 1536826603.278 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.278 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.278 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.279 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826603.279 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.279 * [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))) 1536826603.280 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.280 * [misc]taylor: Taking taylor expansion of (/ (sqrt (/ -1 k)) (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in k 1536826603.280 * [misc]taylor: Taking taylor expansion of (sqrt (/ -1 k)) in k 1536826603.280 * [misc]taylor: Taking taylor expansion of (/ -1 k) in k 1536826603.280 * [misc]taylor: Taking taylor expansion of -1 in k 1536826603.280 * [misc]backup-simplify: Simplify -1 into -1 1536826603.280 * [misc]taylor: Taking taylor expansion of k in k 1536826603.280 * [misc]backup-simplify: Simplify 0 into 0 1536826603.280 * [misc]backup-simplify: Simplify 1 into 1 1536826603.280 * [misc]backup-simplify: Simplify (/ -1 1) into -1 1536826603.280 * [misc]backup-simplify: Simplify (sqrt 0) into 0 1536826603.281 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 1536826603.281 * [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 1536826603.281 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.281 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of k in k 1536826603.281 * [misc]backup-simplify: Simplify 0 into 0 1536826603.281 * [misc]backup-simplify: Simplify 1 into 1 1536826603.281 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.281 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.281 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.281 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of (/ -2 n) in k 1536826603.281 * [misc]taylor: Taking taylor expansion of -2 in k 1536826603.282 * [misc]backup-simplify: Simplify -2 into -2 1536826603.282 * [misc]taylor: Taking taylor expansion of n in k 1536826603.282 * [misc]backup-simplify: Simplify n into n 1536826603.282 * [misc]backup-simplify: Simplify (/ -2 n) into (/ -2 n) 1536826603.282 * [misc]backup-simplify: Simplify (log (/ -2 n)) into (log (/ -2 n)) 1536826603.282 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.282 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.282 * [misc]backup-simplify: Simplify (* 1/2 (log (/ -2 n))) into (* 1/2 (log (/ -2 n))) 1536826603.282 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) into (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.282 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in k 1536826603.282 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in k 1536826603.282 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in k 1536826603.282 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in k 1536826603.282 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in k 1536826603.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.283 * [misc]taylor: Taking taylor expansion of (/ 1 k) in k 1536826603.283 * [misc]taylor: Taking taylor expansion of k in k 1536826603.283 * [misc]backup-simplify: Simplify 0 into 0 1536826603.283 * [misc]backup-simplify: Simplify 1 into 1 1536826603.283 * [misc]backup-simplify: Simplify (/ 1 1) into 1 1536826603.283 * [misc]taylor: Taking taylor expansion of 1/2 in k 1536826603.283 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.283 * [misc]taylor: Taking taylor expansion of (log PI) in k 1536826603.283 * [misc]taylor: Taking taylor expansion of PI in k 1536826603.283 * [misc]backup-simplify: Simplify PI into PI 1536826603.283 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.283 * [misc]backup-simplify: Simplify (* 1/2 1) into 1/2 1536826603.284 * [misc]backup-simplify: Simplify (+ 1/2 0) into 1/2 1536826603.284 * [misc]backup-simplify: Simplify (* 1/2 (log PI)) into (* 1/2 (log PI)) 1536826603.285 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.285 * [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))) 1536826603.285 * [misc]backup-simplify: Simplify (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.285 * [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 1536826603.285 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.286 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.286 * [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 1536826603.286 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.286 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of k in n 1536826603.286 * [misc]backup-simplify: Simplify k into k 1536826603.286 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.286 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.286 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.286 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.286 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.286 * [misc]backup-simplify: Simplify -2 into -2 1536826603.286 * [misc]taylor: Taking taylor expansion of n in n 1536826603.286 * [misc]backup-simplify: Simplify 0 into 0 1536826603.286 * [misc]backup-simplify: Simplify 1 into 1 1536826603.286 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.286 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.287 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.287 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.287 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.287 * [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))) 1536826603.288 * [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)))) 1536826603.288 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.288 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of k in n 1536826603.288 * [misc]backup-simplify: Simplify k into k 1536826603.288 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.288 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.288 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.288 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.288 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.288 * [misc]backup-simplify: Simplify PI into PI 1536826603.289 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.289 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.289 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.289 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536826603.290 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.290 * [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))) 1536826603.291 * [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)))) 1536826603.291 * [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)))) 1536826603.292 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1536826603.293 * [misc]backup-simplify: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1536826603.293 * [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 1536826603.294 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.295 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.295 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.295 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826603.295 * [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 1536826603.295 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.295 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of k in n 1536826603.295 * [misc]backup-simplify: Simplify k into k 1536826603.295 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.295 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.295 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.295 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.295 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.295 * [misc]backup-simplify: Simplify -2 into -2 1536826603.295 * [misc]taylor: Taking taylor expansion of n in n 1536826603.295 * [misc]backup-simplify: Simplify 0 into 0 1536826603.295 * [misc]backup-simplify: Simplify 1 into 1 1536826603.296 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.296 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.296 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.296 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.296 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.297 * [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))) 1536826603.297 * [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)))) 1536826603.297 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.297 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of k in n 1536826603.297 * [misc]backup-simplify: Simplify k into k 1536826603.297 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.297 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.297 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.297 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.297 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.298 * [misc]backup-simplify: Simplify PI into PI 1536826603.298 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.298 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.298 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.298 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536826603.299 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.299 * [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))) 1536826603.300 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.301 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1536826603.301 * [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 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.302 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.305 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 1536826603.305 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.305 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826603.306 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.306 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (log PI))) into 0 1536826603.308 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826603.308 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)))) into 0 1536826603.313 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -2 1)))) 1) into 0 1536826603.313 * [misc]backup-simplify: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 1536826603.313 * [misc]backup-simplify: Simplify (+ (* 1/2 0) (* 0 (/ 1 k))) into 0 1536826603.313 * [misc]backup-simplify: Simplify (+ 0 0) into 0 1536826603.314 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.314 * [misc]backup-simplify: Simplify (+ (* (+ (* 1/2 (/ 1 k)) 1/2) 0) (* 0 (- (log -2) (log n)))) into 0 1536826603.315 * [misc]backup-simplify: Simplify (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (+ (* (/ (pow 0 1) 1)))) into 0 1536826603.316 * [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 1536826603.318 * [misc]backup-simplify: Simplify (- (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into 0 1536826603.318 * [misc]backup-simplify: Simplify 0 into 0 1536826603.318 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1536826603.319 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1536826603.321 * [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 1536826603.323 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (+ (* (/ +nan.0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) (* (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) (/ 0 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))))) into (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.323 * [misc]taylor: Taking taylor expansion of (- (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of (* +nan.0 (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of +nan.0 in n 1536826603.323 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 1536826603.323 * [misc]taylor: Taking taylor expansion of (/ 1 (* (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) in n 1536826603.323 * [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 1536826603.323 * [misc]taylor: Taking taylor expansion of (pow (/ -2 n) (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n)))) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log (/ -2 n))) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.323 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.323 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.323 * [misc]taylor: Taking taylor expansion of k in n 1536826603.323 * [misc]backup-simplify: Simplify k into k 1536826603.324 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.324 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.324 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.324 * [misc]taylor: Taking taylor expansion of (log (/ -2 n)) in n 1536826603.324 * [misc]taylor: Taking taylor expansion of (/ -2 n) in n 1536826603.324 * [misc]taylor: Taking taylor expansion of -2 in n 1536826603.324 * [misc]backup-simplify: Simplify -2 into -2 1536826603.324 * [misc]taylor: Taking taylor expansion of n in n 1536826603.324 * [misc]backup-simplify: Simplify 0 into 0 1536826603.324 * [misc]backup-simplify: Simplify 1 into 1 1536826603.324 * [misc]backup-simplify: Simplify (/ -2 1) into -2 1536826603.324 * [misc]backup-simplify: Simplify (log -2) into (log -2) 1536826603.324 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.324 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.325 * [misc]backup-simplify: Simplify (+ (* (- 1) (log n)) (log -2)) into (- (log -2) (log n)) 1536826603.325 * [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))) 1536826603.325 * [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)))) 1536826603.326 * [misc]taylor: Taking taylor expansion of (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of (+ (* 1/2 (/ 1 k)) 1/2) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of (* 1/2 (/ 1 k)) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.326 * [misc]taylor: Taking taylor expansion of (/ 1 k) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of k in n 1536826603.326 * [misc]backup-simplify: Simplify k into k 1536826603.326 * [misc]backup-simplify: Simplify (/ 1 k) into (/ 1 k) 1536826603.326 * [misc]taylor: Taking taylor expansion of 1/2 in n 1536826603.326 * [misc]backup-simplify: Simplify 1/2 into 1/2 1536826603.326 * [misc]taylor: Taking taylor expansion of (log PI) in n 1536826603.326 * [misc]taylor: Taking taylor expansion of PI in n 1536826603.326 * [misc]backup-simplify: Simplify PI into PI 1536826603.327 * [misc]backup-simplify: Simplify (log PI) into (log PI) 1536826603.327 * [misc]backup-simplify: Simplify (* 1/2 (/ 1 k)) into (/ 1/2 k) 1536826603.327 * [misc]backup-simplify: Simplify (+ (/ 1/2 k) 1/2) into (+ (* 1/2 (/ 1 k)) 1/2) 1536826603.327 * [misc]backup-simplify: Simplify (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) into (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI)) 1536826603.328 * [misc]backup-simplify: Simplify (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (log PI))) into (pow PI (+ (* 1/2 (/ 1 k)) 1/2)) 1536826603.328 * [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))) 1536826603.329 * [misc]backup-simplify: Simplify (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) into (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))) 1536826603.329 * [misc]backup-simplify: Simplify (* +nan.0 (/ 1 (* (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)))) 1536826603.330 * [misc]backup-simplify: Simplify (- (/ +nan.0 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.331 * [misc]backup-simplify: Simplify (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) into (- (* +nan.0 (/ 1 (* (exp (* (+ (* 1/2 (/ 1 k)) 1/2) (- (log -2) (log n)))) (pow PI (+ (* 1/2 (/ 1 k)) 1/2)))))) 1536826603.334 * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (/ 1 (* (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 (/ 1 (* (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 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1536826603.334 * * * [misc]progress: simplifying candidates 1536826603.334 * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # 1536826603.334 * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # 1536826603.334 * [enter]simplify: Simplifying (pow PI (/ k 2)) 1536826603.335 * * [misc]simplify: iters left: 3 (5 enodes) 1536826603.337 * [exit]simplify: Simplified to (pow PI (/ k 2)) 1536826603.337 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (/ (pow PI 1/2) (pow PI (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826603.337 * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # 1536826603.337 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536826603.338 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.340 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.343 * * [misc]simplify: iters left: 3 (11 enodes) 1536826603.346 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536826603.346 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))) 1536826603.347 * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # 1536826603.347 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536826603.347 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.349 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.352 * * [misc]simplify: iters left: 3 (11 enodes) 1536826603.356 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536826603.356 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826603.356 * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # 1536826603.356 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536826603.356 * * [misc]simplify: iters left: 4 (5 enodes) 1536826603.358 * * [misc]simplify: iters left: 3 (7 enodes) 1536826603.361 * * [misc]simplify: iters left: 2 (10 enodes) 1536826603.364 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536826603.364 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow (pow PI 1) (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826603.364 * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # 1536826603.364 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1536826603.365 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.367 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.370 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1536826603.370 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826603.370 * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # 1536826603.370 * [enter]simplify: Simplifying (pow PI (- (/ k 2))) 1536826603.371 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.374 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.376 * [exit]simplify: Simplified to (pow PI (/ (- k) 2)) 1536826603.376 * [misc]simplify: Simplified (2 2 1 2 2) to (λ (k n) (/ 1 (* (/ 1 (* (pow PI 1/2) (pow PI (/ (- k) 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826603.376 * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # 1536826603.377 * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # 1536826603.377 * [enter]simplify: Simplifying (* (log (* n 2)) (- 1/2 (/ k 2))) 1536826603.378 * * [misc]simplify: iters left: 6 (9 enodes) 1536826603.381 * * [misc]simplify: iters left: 5 (16 enodes) 1536826603.386 * * [misc]simplify: iters left: 4 (32 enodes) 1536826603.395 * * [misc]simplify: iters left: 3 (68 enodes) 1536826603.423 * * [misc]simplify: iters left: 2 (171 enodes) 1536826603.475 * * [misc]simplify: iters left: 1 (342 enodes) 1536826603.628 * [exit]simplify: Simplified to (* (log (* n 2)) (- 1/2 (/ k 2))) 1536826603.628 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (exp (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1536826603.628 * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # 1536826603.628 * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # 1536826603.629 * [enter]simplify: Simplifying (* n 2) 1536826603.629 * * [misc]simplify: iters left: 2 (3 enodes) 1536826603.630 * * [misc]simplify: iters left: 1 (4 enodes) 1536826603.631 * [exit]simplify: Simplified to (* n 2) 1536826603.631 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (* 1 (- 1/2 (/ k 2)))))))) 1536826603.631 * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # 1536826603.632 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536826603.632 * * [misc]simplify: iters left: 3 (6 enodes) 1536826603.634 * * [misc]simplify: iters left: 2 (7 enodes) 1536826603.637 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536826603.637 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (/ (pow (* n 2) 1/2) (pow (* n 2) (/ k 2))))))) 1536826603.637 * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # 1536826603.637 * [enter]simplify: Simplifying (cbrt (- 1/2 (/ k 2))) 1536826603.638 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.640 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.643 * * [misc]simplify: iters left: 3 (11 enodes) 1536826603.647 * [exit]simplify: Simplified to (cbrt (- 1/2 (/ k 2))) 1536826603.647 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536826603.647 * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # 1536826603.647 * [enter]simplify: Simplifying (sqrt (- 1/2 (/ k 2))) 1536826603.648 * * [misc]simplify: iters left: 5 (6 enodes) 1536826603.650 * * [misc]simplify: iters left: 4 (8 enodes) 1536826603.653 * * [misc]simplify: iters left: 3 (11 enodes) 1536826603.657 * [exit]simplify: Simplified to (sqrt (- 1/2 (/ k 2))) 1536826603.657 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) (sqrt (- 1/2 (/ k 2)))) (sqrt (- 1/2 (/ k 2)))))))) 1536826603.657 * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # 1536826603.657 * [enter]simplify: Simplifying (- 1/2 (/ k 2)) 1536826603.658 * * [misc]simplify: iters left: 4 (5 enodes) 1536826603.660 * * [misc]simplify: iters left: 3 (7 enodes) 1536826603.662 * * [misc]simplify: iters left: 2 (10 enodes) 1536826603.665 * [exit]simplify: Simplified to (- 1/2 (/ k 2)) 1536826603.666 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (pow (* n 2) 1) (- 1/2 (/ k 2))))))) 1536826603.666 * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # 1536826603.666 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536826603.667 * * [misc]simplify: iters left: 5 (7 enodes) 1536826603.669 * * [misc]simplify: iters left: 4 (10 enodes) 1536826603.673 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536826603.673 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1536826603.673 * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # 1536826603.673 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536826603.674 * * [misc]simplify: iters left: 5 (7 enodes) 1536826603.680 * * [misc]simplify: iters left: 4 (10 enodes) 1536826603.684 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536826603.684 * [misc]simplify: Simplified (2 2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow (* n 2) 1/2) (pow (* n 2) (- (/ k 2)))))))) 1536826603.684 * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # 1536826603.684 * [enter]simplify: Simplifying (pow n (- 1/2 (/ k 2))) 1536826603.685 * * [misc]simplify: iters left: 5 (7 enodes) 1536826603.687 * * [misc]simplify: iters left: 4 (9 enodes) 1536826603.691 * * [misc]simplify: iters left: 3 (12 enodes) 1536826603.695 * [exit]simplify: Simplified to (pow n (- 1/2 (/ k 2))) 1536826603.695 * [misc]simplify: Simplified (2 2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (* (pow n (- 1/2 (/ k 2))) (pow 2 (- 1/2 (/ k 2)))))))) 1536826603.695 * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # 1536826603.695 * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # 1536826603.696 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1536826603.697 * * [misc]simplify: iters left: 6 (12 enodes) 1536826603.703 * * [misc]simplify: iters left: 5 (21 enodes) 1536826603.714 * * [misc]simplify: iters left: 4 (44 enodes) 1536826603.745 * * [misc]simplify: iters left: 3 (125 enodes) 1536826603.812 * * [misc]simplify: iters left: 2 (343 enodes) 1536826603.995 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1536826603.995 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1536826603.995 * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # 1536826603.996 * [enter]simplify: Simplifying (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1536826603.997 * * [misc]simplify: iters left: 6 (12 enodes) 1536826604.000 * * [misc]simplify: iters left: 5 (21 enodes) 1536826604.006 * * [misc]simplify: iters left: 4 (44 enodes) 1536826604.031 * * [misc]simplify: iters left: 3 (125 enodes) 1536826604.116 * * [misc]simplify: iters left: 2 (343 enodes) 1536826604.361 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))) 1536826604.361 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (log (* n 2)))))))) 1536826604.361 * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # 1536826604.361 * [enter]simplify: Simplifying (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2))))) 1536826604.362 * * [misc]simplify: iters left: 6 (12 enodes) 1536826604.366 * * [misc]simplify: iters left: 5 (19 enodes) 1536826604.371 * * [misc]simplify: iters left: 4 (32 enodes) 1536826604.383 * * [misc]simplify: iters left: 3 (67 enodes) 1536826604.416 * * [misc]simplify: iters left: 2 (194 enodes) 1536826604.576 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))) 1536826604.576 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (exp (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2)))))))) 1536826604.576 * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # 1536826604.576 * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # 1536826604.576 * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # 1536826604.577 * [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))))) 1536826604.579 * * [misc]simplify: iters left: 6 (14 enodes) 1536826604.590 * * [misc]simplify: iters left: 5 (26 enodes) 1536826604.604 * * [misc]simplify: iters left: 4 (58 enodes) 1536826604.633 * * [misc]simplify: iters left: 3 (117 enodes) 1536826604.691 * * [misc]simplify: iters left: 2 (193 enodes) 1536826604.780 * * [misc]simplify: iters left: 1 (263 enodes) 1536826604.902 * [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))))) 1536826604.903 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826604.903 * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # 1536826604.903 * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # 1536826604.903 * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # 1536826604.903 * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # 1536826604.903 * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # 1536826604.903 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1536826604.904 * * [misc]simplify: iters left: 6 (10 enodes) 1536826604.906 * * [misc]simplify: iters left: 5 (14 enodes) 1536826604.908 * * [misc]simplify: iters left: 4 (16 enodes) 1536826604.910 * * [misc]simplify: iters left: 3 (17 enodes) 1536826604.914 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1536826604.914 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536826604.914 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826604.915 * * [misc]simplify: iters left: 6 (10 enodes) 1536826604.917 * * [misc]simplify: iters left: 5 (13 enodes) 1536826604.919 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826604.919 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536826604.919 * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # 1536826604.920 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow (* n 2) 1/2)) 1536826604.921 * * [misc]simplify: iters left: 6 (10 enodes) 1536826604.925 * * [misc]simplify: iters left: 5 (14 enodes) 1536826604.929 * * [misc]simplify: iters left: 4 (16 enodes) 1536826604.934 * * [misc]simplify: iters left: 3 (17 enodes) 1536826604.941 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) 1536826604.941 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536826604.941 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826604.942 * * [misc]simplify: iters left: 6 (10 enodes) 1536826604.946 * * [misc]simplify: iters left: 5 (13 enodes) 1536826604.950 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826604.950 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (* n 2))) (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536826604.951 * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # 1536826604.951 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1536826604.952 * * [misc]simplify: iters left: 6 (11 enodes) 1536826604.957 * * [misc]simplify: iters left: 5 (15 enodes) 1536826604.962 * * [misc]simplify: iters left: 4 (20 enodes) 1536826604.968 * * [misc]simplify: iters left: 3 (21 enodes) 1536826604.976 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (pow n (- 1/2 (/ k 2)))) 1536826604.976 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536826604.976 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826604.977 * * [misc]simplify: iters left: 6 (9 enodes) 1536826604.980 * * [misc]simplify: iters left: 5 (11 enodes) 1536826604.984 * * [misc]simplify: iters left: 4 (14 enodes) 1536826604.989 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826604.989 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536826604.989 * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # 1536826604.990 * [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)))))) 1536826604.993 * * [misc]simplify: iters left: 6 (14 enodes) 1536826604.999 * * [misc]simplify: iters left: 5 (23 enodes) 1536826605.009 * * [misc]simplify: iters left: 4 (35 enodes) 1536826605.020 * * [misc]simplify: iters left: 3 (38 enodes) 1536826605.031 * * [misc]simplify: iters left: 2 (41 enodes) 1536826605.048 * [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)))))) 1536826605.048 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.048 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.049 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.053 * * [misc]simplify: iters left: 5 (15 enodes) 1536826605.056 * * [misc]simplify: iters left: 4 (18 enodes) 1536826605.059 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.059 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.059 * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # 1536826605.059 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.060 * * [misc]simplify: iters left: 6 (13 enodes) 1536826605.063 * * [misc]simplify: iters left: 5 (18 enodes) 1536826605.066 * * [misc]simplify: iters left: 4 (23 enodes) 1536826605.070 * * [misc]simplify: iters left: 3 (24 enodes) 1536826605.074 * [exit]simplify: Simplified to (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.074 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.074 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.075 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.077 * * [misc]simplify: iters left: 5 (15 enodes) 1536826605.081 * * [misc]simplify: iters left: 4 (18 enodes) 1536826605.087 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.087 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.087 * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # 1536826605.088 * [enter]simplify: Simplifying (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1) 1536826605.088 * * [misc]simplify: iters left: 6 (6 enodes) 1536826605.091 * * [misc]simplify: iters left: 5 (10 enodes) 1536826605.096 * * [misc]simplify: iters left: 4 (16 enodes) 1536826605.102 * * [misc]simplify: iters left: 3 (18 enodes) 1536826605.107 * * [misc]simplify: iters left: 2 (23 enodes) 1536826605.114 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826605.114 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.115 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.116 * * [misc]simplify: iters left: 6 (11 enodes) 1536826605.120 * * [misc]simplify: iters left: 5 (14 enodes) 1536826605.125 * * [misc]simplify: iters left: 4 (17 enodes) 1536826605.131 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.131 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.131 * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # 1536826605.131 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1536826605.132 * * [misc]simplify: iters left: 5 (9 enodes) 1536826605.135 * * [misc]simplify: iters left: 4 (11 enodes) 1536826605.139 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1536826605.139 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536826605.139 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826605.140 * * [misc]simplify: iters left: 6 (10 enodes) 1536826605.144 * * [misc]simplify: iters left: 5 (13 enodes) 1536826605.149 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826605.149 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536826605.149 * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # 1536826605.149 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) 1/2)) 1536826605.150 * * [misc]simplify: iters left: 5 (9 enodes) 1536826605.153 * * [misc]simplify: iters left: 4 (11 enodes) 1536826605.157 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (* n 2))) 1536826605.157 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))))))) 1536826605.157 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826605.158 * * [misc]simplify: iters left: 6 (10 enodes) 1536826605.162 * * [misc]simplify: iters left: 5 (13 enodes) 1536826605.167 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826605.167 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (sqrt (* n 2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))))))) 1536826605.167 * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # 1536826605.167 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1536826605.168 * * [misc]simplify: iters left: 6 (10 enodes) 1536826605.172 * * [misc]simplify: iters left: 5 (12 enodes) 1536826605.176 * * [misc]simplify: iters left: 4 (15 enodes) 1536826605.181 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) 1536826605.181 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1536826605.181 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826605.182 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.185 * * [misc]simplify: iters left: 5 (11 enodes) 1536826605.190 * * [misc]simplify: iters left: 4 (14 enodes) 1536826605.195 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826605.195 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))))))) 1536826605.195 * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # 1536826605.195 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826605.196 * * [misc]simplify: iters left: 6 (13 enodes) 1536826605.201 * * [misc]simplify: iters left: 5 (18 enodes) 1536826605.207 * * [misc]simplify: iters left: 4 (21 enodes) 1536826605.215 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826605.215 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.216 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.217 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.221 * * [misc]simplify: iters left: 5 (15 enodes) 1536826605.226 * * [misc]simplify: iters left: 4 (18 enodes) 1536826605.233 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.233 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.233 * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # 1536826605.233 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.234 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.238 * * [misc]simplify: iters left: 5 (15 enodes) 1536826605.241 * * [misc]simplify: iters left: 4 (18 enodes) 1536826605.244 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.244 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.244 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.245 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.247 * * [misc]simplify: iters left: 5 (15 enodes) 1536826605.250 * * [misc]simplify: iters left: 4 (18 enodes) 1536826605.253 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.253 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.253 * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # 1536826605.254 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) 1) 1536826605.254 * * [misc]simplify: iters left: 4 (5 enodes) 1536826605.255 * * [misc]simplify: iters left: 3 (7 enodes) 1536826605.256 * * [misc]simplify: iters left: 2 (9 enodes) 1536826605.257 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826605.258 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.258 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.258 * * [misc]simplify: iters left: 6 (11 enodes) 1536826605.260 * * [misc]simplify: iters left: 5 (14 enodes) 1536826605.263 * * [misc]simplify: iters left: 4 (17 enodes) 1536826605.266 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.266 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (sqrt (sqrt k)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.266 * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # 1536826605.266 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1536826605.266 * * [misc]simplify: iters left: 5 (7 enodes) 1536826605.268 * * [misc]simplify: iters left: 4 (11 enodes) 1536826605.270 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1536826605.270 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1536826605.270 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536826605.270 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.273 * * [misc]simplify: iters left: 5 (12 enodes) 1536826605.277 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536826605.277 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1536826605.277 * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # 1536826605.278 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) 1/2)) 1536826605.278 * * [misc]simplify: iters left: 5 (7 enodes) 1536826605.281 * * [misc]simplify: iters left: 4 (11 enodes) 1536826605.284 * [exit]simplify: Simplified to (/ 1 (sqrt (* 2 n))) 1536826605.284 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (- (/ k 2)))))))) 1536826605.285 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536826605.286 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.289 * * [misc]simplify: iters left: 5 (12 enodes) 1536826605.293 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536826605.293 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (sqrt (* 2 n))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2))))))) 1536826605.293 * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # 1536826605.294 * [enter]simplify: Simplifying (/ 1 (pow n (- 1/2 (/ k 2)))) 1536826605.294 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.298 * * [misc]simplify: iters left: 5 (13 enodes) 1536826605.302 * * [misc]simplify: iters left: 4 (16 enodes) 1536826605.307 * [exit]simplify: Simplified to (/ 1 (pow n (- 1/2 (/ k 2)))) 1536826605.307 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1536826605.307 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536826605.308 * * [misc]simplify: iters left: 6 (8 enodes) 1536826605.311 * * [misc]simplify: iters left: 5 (10 enodes) 1536826605.315 * * [misc]simplify: iters left: 4 (13 enodes) 1536826605.319 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536826605.319 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ 1 (pow n (- 1/2 (/ k 2)))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))))))) 1536826605.319 * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # 1536826605.319 * [enter]simplify: Simplifying (/ 1 (* (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) (cbrt (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826605.320 * * [misc]simplify: iters left: 6 (12 enodes) 1536826605.326 * * [misc]simplify: iters left: 5 (19 enodes) 1536826605.332 * * [misc]simplify: iters left: 4 (22 enodes) 1536826605.340 * [exit]simplify: Simplified to (/ (/ 1 (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) (cbrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1536826605.340 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.340 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.341 * * [misc]simplify: iters left: 6 (11 enodes) 1536826605.346 * * [misc]simplify: iters left: 5 (14 enodes) 1536826605.349 * * [misc]simplify: iters left: 4 (17 enodes) 1536826605.352 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.352 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.352 * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # 1536826605.352 * [enter]simplify: Simplifying (/ 1 (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.353 * * [misc]simplify: iters left: 6 (11 enodes) 1536826605.355 * * [misc]simplify: iters left: 5 (16 enodes) 1536826605.357 * * [misc]simplify: iters left: 4 (19 enodes) 1536826605.361 * [exit]simplify: Simplified to (/ 1 (sqrt (pow (* 2 n) (- 1/2 (/ k 2))))) 1536826605.361 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.361 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.361 * * [misc]simplify: iters left: 6 (11 enodes) 1536826605.363 * * [misc]simplify: iters left: 5 (14 enodes) 1536826605.366 * * [misc]simplify: iters left: 4 (17 enodes) 1536826605.369 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.369 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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))))))))) 1536826605.369 * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # 1536826605.369 * [enter]simplify: Simplifying (/ 1 1) 1536826605.369 * * [misc]simplify: iters left: 2 (2 enodes) 1536826605.370 * * [misc]simplify: iters left: 1 (4 enodes) 1536826605.370 * [exit]simplify: Simplified to 1 1536826605.370 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.370 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.371 * * [misc]simplify: iters left: 6 (10 enodes) 1536826605.373 * * [misc]simplify: iters left: 5 (13 enodes) 1536826605.376 * * [misc]simplify: iters left: 4 (16 enodes) 1536826605.381 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.381 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.381 * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # 1536826605.381 * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # 1536826605.381 * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # 1536826605.381 * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # 1536826605.382 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536826605.382 * * [misc]simplify: iters left: 5 (7 enodes) 1536826605.385 * * [misc]simplify: iters left: 4 (10 enodes) 1536826605.388 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536826605.388 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1536826605.389 * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # 1536826605.389 * [enter]simplify: Simplifying (pow (* n 2) (- (/ k 2))) 1536826605.389 * * [misc]simplify: iters left: 5 (7 enodes) 1536826605.392 * * [misc]simplify: iters left: 4 (10 enodes) 1536826605.396 * [exit]simplify: Simplified to (pow (* n 2) (- (/ k 2))) 1536826605.396 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (- (/ k 2))))))) 1536826605.396 * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # 1536826605.396 * [enter]simplify: Simplifying (pow 2 (- 1/2 (/ k 2))) 1536826605.397 * * [misc]simplify: iters left: 5 (6 enodes) 1536826605.399 * * [misc]simplify: iters left: 4 (8 enodes) 1536826605.402 * * [misc]simplify: iters left: 3 (11 enodes) 1536826605.406 * [exit]simplify: Simplified to (pow 2 (- 1/2 (/ k 2))) 1536826605.406 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (pow n (- 1/2 (/ k 2)))) (pow 2 (- 1/2 (/ k 2))))))) 1536826605.406 * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # 1536826605.406 * [enter]simplify: Simplifying (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.407 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.410 * * [misc]simplify: iters left: 5 (12 enodes) 1536826605.415 * * [misc]simplify: iters left: 4 (15 enodes) 1536826605.420 * [exit]simplify: Simplified to (cbrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.420 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (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)))))))) 1536826605.420 * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # 1536826605.420 * [enter]simplify: Simplifying (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.421 * * [misc]simplify: iters left: 6 (9 enodes) 1536826605.425 * * [misc]simplify: iters left: 5 (12 enodes) 1536826605.429 * * [misc]simplify: iters left: 4 (15 enodes) 1536826605.435 * [exit]simplify: Simplified to (sqrt (pow (* n 2) (- 1/2 (/ k 2)))) 1536826605.435 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) (sqrt (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826605.435 * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # 1536826605.435 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536826605.436 * * [misc]simplify: iters left: 5 (8 enodes) 1536826605.439 * * [misc]simplify: iters left: 4 (11 enodes) 1536826605.443 * * [misc]simplify: iters left: 3 (14 enodes) 1536826605.447 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536826605.447 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (/ (sqrt k) 1) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826605.447 * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # 1536826605.448 * [enter]simplify: Simplifying (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826605.448 * * [misc]simplify: iters left: 4 (4 enodes) 1536826605.450 * [exit]simplify: Simplified to (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1536826605.450 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) (/ (pow (* n 2) (- 1/2 (/ k 2))) (cbrt (sqrt k))))))) 1536826605.450 * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # 1536826605.450 * [enter]simplify: Simplifying (sqrt (sqrt k)) 1536826605.450 * * [misc]simplify: iters left: 2 (3 enodes) 1536826605.451 * [exit]simplify: Simplified to (sqrt (sqrt k)) 1536826605.451 * [misc]simplify: Simplified (2 2 2 1) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (/ (pow (* n 2) (- 1/2 (/ k 2))) (sqrt (sqrt k))))))) 1536826605.451 * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # 1536826605.451 * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # 1536826605.452 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536826605.452 * * [misc]simplify: iters left: 3 (6 enodes) 1536826605.454 * * [misc]simplify: iters left: 2 (7 enodes) 1536826605.457 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536826605.457 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (/ (sqrt k) (pow (* n 2) 1/2)) (pow (* n 2) (/ k 2)))))) 1536826605.457 * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # 1536826605.457 * [enter]simplify: Simplifying (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826605.460 * * [misc]simplify: iters left: 6 (15 enodes) 1536826605.467 * * [misc]simplify: iters left: 5 (25 enodes) 1536826605.477 * * [misc]simplify: iters left: 4 (40 enodes) 1536826605.495 * * [misc]simplify: iters left: 3 (65 enodes) 1536826605.521 * * [misc]simplify: iters left: 2 (99 enodes) 1536826605.545 * * [misc]simplify: iters left: 1 (139 enodes) 1536826605.616 * [exit]simplify: Simplified to (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1536826605.616 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (pow (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))) 1))) 1536826605.616 * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # 1536826605.616 * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # 1536826605.616 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826605.617 * * [misc]simplify: iters left: 6 (17 enodes) 1536826605.623 * * [misc]simplify: iters left: 5 (34 enodes) 1536826605.634 * * [misc]simplify: iters left: 4 (81 enodes) 1536826605.692 * * [misc]simplify: iters left: 3 (262 enodes) 1536826605.972 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1536826605.972 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1536826605.972 * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # 1536826605.973 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826605.975 * * [misc]simplify: iters left: 6 (17 enodes) 1536826605.984 * * [misc]simplify: iters left: 5 (34 enodes) 1536826606.004 * * [misc]simplify: iters left: 4 (81 enodes) 1536826606.050 * * [misc]simplify: iters left: 3 (262 enodes) 1536826606.323 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1536826606.323 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1536826606.323 * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # 1536826606.323 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826606.325 * * [misc]simplify: iters left: 6 (17 enodes) 1536826606.329 * * [misc]simplify: iters left: 5 (32 enodes) 1536826606.341 * * [misc]simplify: iters left: 4 (69 enodes) 1536826606.382 * * [misc]simplify: iters left: 3 (185 enodes) 1536826606.579 * [exit]simplify: Simplified to (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2))))) 1536826606.579 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (- (log (sqrt k)) (* (- 1/2 (/ k 2)) (+ (log PI) (log (* n 2)))))))) 1536826606.579 * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # 1536826606.579 * [enter]simplify: Simplifying (+ (- (* (log PI) (- 1/2 (/ k 2)))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826606.580 * * [misc]simplify: iters left: 6 (16 enodes) 1536826606.584 * * [misc]simplify: iters left: 5 (28 enodes) 1536826606.596 * * [misc]simplify: iters left: 4 (58 enodes) 1536826606.634 * * [misc]simplify: iters left: 3 (135 enodes) 1536826606.687 * * [misc]simplify: iters left: 2 (301 enodes) 1536826606.996 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2)))) 1536826606.996 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))))))) 1536826606.996 * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # 1536826606.997 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826606.999 * * [misc]simplify: iters left: 6 (17 enodes) 1536826607.007 * * [misc]simplify: iters left: 5 (31 enodes) 1536826607.024 * * [misc]simplify: iters left: 4 (65 enodes) 1536826607.073 * * [misc]simplify: iters left: 3 (195 enodes) 1536826607.285 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1536826607.285 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1536826607.286 * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # 1536826607.286 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826607.287 * * [misc]simplify: iters left: 6 (17 enodes) 1536826607.292 * * [misc]simplify: iters left: 5 (31 enodes) 1536826607.301 * * [misc]simplify: iters left: 4 (65 enodes) 1536826607.340 * * [misc]simplify: iters left: 3 (195 enodes) 1536826607.559 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k))) 1536826607.559 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1536826607.559 * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # 1536826607.559 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826607.560 * * [misc]simplify: iters left: 6 (17 enodes) 1536826607.564 * * [misc]simplify: iters left: 5 (29 enodes) 1536826607.576 * * [misc]simplify: iters left: 4 (53 enodes) 1536826607.605 * * [misc]simplify: iters left: 3 (122 enodes) 1536826607.695 * * [misc]simplify: iters left: 2 (464 enodes) 1536826608.437 * [exit]simplify: Simplified to (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k))) 1536826608.437 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log PI) (log (* 2 n))) (+ -1/2 (/ k 2))) (log (sqrt k)))))) 1536826608.437 * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # 1536826608.438 * [enter]simplify: Simplifying (+ (- (log (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826608.440 * * [misc]simplify: iters left: 6 (16 enodes) 1536826608.446 * * [misc]simplify: iters left: 5 (25 enodes) 1536826608.457 * * [misc]simplify: iters left: 4 (42 enodes) 1536826608.477 * * [misc]simplify: iters left: 3 (80 enodes) 1536826608.508 * * [misc]simplify: iters left: 2 (206 enodes) 1536826608.799 * [exit]simplify: Simplified to (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k))) 1536826608.799 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (log (* n 2)) (log PI)) (+ (/ k 2) -1/2)) (log (sqrt k)))))) 1536826608.799 * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # 1536826608.799 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826608.800 * * [misc]simplify: iters left: 6 (18 enodes) 1536826608.806 * * [misc]simplify: iters left: 5 (36 enodes) 1536826608.821 * * [misc]simplify: iters left: 4 (68 enodes) 1536826608.861 * * [misc]simplify: iters left: 3 (199 enodes) 1536826609.043 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1536826609.043 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1536826609.043 * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # 1536826609.043 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (* (log (* n 2)) (- 1/2 (/ k 2))))) 1536826609.044 * * [misc]simplify: iters left: 6 (18 enodes) 1536826609.050 * * [misc]simplify: iters left: 5 (36 enodes) 1536826609.059 * * [misc]simplify: iters left: 4 (68 enodes) 1536826609.099 * * [misc]simplify: iters left: 3 (199 enodes) 1536826609.318 * [exit]simplify: Simplified to (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k))) 1536826609.318 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (* (+ (/ k 2) -1/2) (+ (log (* 2 n)) (log PI))) (log (sqrt k)))))) 1536826609.318 * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # 1536826609.318 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (- (log (sqrt k)) (log (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826609.319 * * [misc]simplify: iters left: 6 (18 enodes) 1536826609.325 * * [misc]simplify: iters left: 5 (34 enodes) 1536826609.333 * * [misc]simplify: iters left: 4 (56 enodes) 1536826609.351 * * [misc]simplify: iters left: 3 (124 enodes) 1536826609.482 * * [misc]simplify: iters left: 2 (458 enodes) 1536826610.297 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n))))) 1536826610.298 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ (/ k 2) -1/2) (+ (log PI) (log (* 2 n)))))))) 1536826610.298 * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # 1536826610.298 * [enter]simplify: Simplifying (+ (log (/ 1 (pow PI (- 1/2 (/ k 2))))) (log (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826610.301 * * [misc]simplify: iters left: 6 (17 enodes) 1536826610.310 * * [misc]simplify: iters left: 5 (30 enodes) 1536826610.321 * * [misc]simplify: iters left: 4 (44 enodes) 1536826610.338 * * [misc]simplify: iters left: 3 (78 enodes) 1536826610.362 * * [misc]simplify: iters left: 2 (169 enodes) 1536826610.617 * [exit]simplify: Simplified to (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI)))) 1536826610.617 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (exp (+ (log (sqrt k)) (* (+ -1/2 (/ k 2)) (+ (log (* n 2)) (log PI))))))) 1536826610.617 * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # 1536826610.617 * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # 1536826610.617 * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # 1536826610.617 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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)))))) 1536826610.620 * * [misc]simplify: iters left: 6 (21 enodes) 1536826610.631 * * [misc]simplify: iters left: 5 (47 enodes) 1536826610.666 * * [misc]simplify: iters left: 4 (148 enodes) 1536826610.845 * [exit]simplify: Simplified to (* (/ 1 (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)))))) 1536826610.845 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ 1 (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))))))))) 1536826610.845 * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # 1536826610.846 * [enter]simplify: Simplifying (* (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ 1 (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)))))) 1536826610.847 * * [misc]simplify: iters left: 6 (19 enodes) 1536826610.858 * * [misc]simplify: iters left: 5 (43 enodes) 1536826610.886 * * [misc]simplify: iters left: 4 (121 enodes) 1536826610.977 * * [misc]simplify: iters left: 3 (306 enodes) 1536826611.353 * [exit]simplify: Simplified to (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2)))))) 1536826611.353 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (cbrt (* (/ (/ 1 (pow PI (- 1/2 (/ k 2)))) (* (pow PI (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))) (/ (/ (* k (sqrt k)) (pow (* 2 n) (- 1/2 (/ k 2)))) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow (* 2 n) (- 1/2 (/ k 2))))))))) 1536826611.353 * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # 1536826611.354 * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # 1536826611.354 * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # 1536826611.354 * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # 1536826611.354 * [enter]simplify: Simplifying (* 1 (sqrt k)) 1536826611.355 * * [misc]simplify: iters left: 3 (4 enodes) 1536826611.357 * * [misc]simplify: iters left: 2 (7 enodes) 1536826611.360 * * [misc]simplify: iters left: 1 (9 enodes) 1536826611.362 * [exit]simplify: Simplified to (sqrt k) 1536826611.362 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826611.362 * [enter]simplify: Simplifying (* (pow PI (- 1/2 (/ k 2))) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.363 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.367 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.372 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.379 * [exit]simplify: Simplified to (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2)))) 1536826611.379 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (sqrt k) (* (pow (* 2 n) (- 1/2 (/ k 2))) (pow PI (- 1/2 (/ k 2))))))) 1536826611.379 * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # 1536826611.379 * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # 1536826611.379 * [enter]simplify: Simplifying (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.380 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.384 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.389 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.395 * [exit]simplify: Simplified to (cbrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.395 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.395 * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # 1536826611.395 * [enter]simplify: Simplifying (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.396 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.400 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.405 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.411 * [exit]simplify: Simplified to (sqrt (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.411 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.411 * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # 1536826611.412 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826611.413 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.416 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.421 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826611.421 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))) 1536826611.421 * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # 1536826611.421 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826611.422 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.426 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.431 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826611.431 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))) 1536826611.431 * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # 1536826611.431 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826611.434 * * [misc]simplify: iters left: 6 (9 enodes) 1536826611.437 * * [misc]simplify: iters left: 5 (11 enodes) 1536826611.440 * * [misc]simplify: iters left: 4 (14 enodes) 1536826611.443 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826611.443 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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))))))) 1536826611.443 * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # 1536826611.443 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.444 * * [misc]simplify: iters left: 6 (12 enodes) 1536826611.446 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.448 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.452 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.452 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.452 * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # 1536826611.452 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.453 * * [misc]simplify: iters left: 6 (12 enodes) 1536826611.455 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.457 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.461 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.461 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.461 * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # 1536826611.461 * [enter]simplify: Simplifying (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.461 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.463 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.466 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.469 * [exit]simplify: Simplified to (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.469 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (* (cbrt (sqrt k)) (cbrt (sqrt k))) 1)) (/ (cbrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826611.469 * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # 1536826611.469 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826611.470 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.472 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.474 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826611.474 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1536826611.474 * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # 1536826611.474 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- (/ k 2)))) 1536826611.475 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.477 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.479 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2))) 1536826611.479 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow (* n 2) 1/2))) (/ (sqrt (sqrt k)) (pow (* n 2) (/ (- k) 2)))))) 1536826611.479 * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # 1536826611.479 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826611.480 * * [misc]simplify: iters left: 6 (9 enodes) 1536826611.482 * * [misc]simplify: iters left: 5 (11 enodes) 1536826611.484 * * [misc]simplify: iters left: 4 (14 enodes) 1536826611.486 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2)))) 1536826611.486 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) (pow n (- 1/2 (/ k 2))))) (/ (sqrt (sqrt k)) (pow 2 (- 1/2 (/ k 2))))))) 1536826611.486 * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # 1536826611.487 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.487 * * [misc]simplify: iters left: 6 (12 enodes) 1536826611.489 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.492 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.495 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.495 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.495 * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # 1536826611.495 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.496 * * [misc]simplify: iters left: 6 (12 enodes) 1536826611.498 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.501 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.504 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.504 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.504 * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # 1536826611.504 * [enter]simplify: Simplifying (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.506 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.508 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.511 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.516 * [exit]simplify: Simplified to (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.516 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt (sqrt k)) 1)) (/ (sqrt (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826611.516 * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # 1536826611.516 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536826611.517 * * [misc]simplify: iters left: 6 (9 enodes) 1536826611.521 * * [misc]simplify: iters left: 5 (12 enodes) 1536826611.526 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536826611.526 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1536826611.526 * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # 1536826611.526 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- (/ k 2)))) 1536826611.527 * * [misc]simplify: iters left: 6 (9 enodes) 1536826611.531 * * [misc]simplify: iters left: 5 (12 enodes) 1536826611.536 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (/ (- k) 2))) 1536826611.536 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow (* n 2) 1/2))) (/ (sqrt k) (pow (* n 2) (/ (- k) 2)))))) 1536826611.536 * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # 1536826611.536 * [enter]simplify: Simplifying (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536826611.537 * * [misc]simplify: iters left: 6 (8 enodes) 1536826611.540 * * [misc]simplify: iters left: 5 (10 enodes) 1536826611.544 * * [misc]simplify: iters left: 4 (13 enodes) 1536826611.548 * [exit]simplify: Simplified to (/ (sqrt k) (pow 2 (- 1/2 (/ k 2)))) 1536826611.548 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 (pow n (- 1/2 (/ k 2))))) (/ (sqrt k) (pow 2 (- 1/2 (/ k 2))))))) 1536826611.548 * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # 1536826611.549 * [enter]simplify: Simplifying (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.550 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.554 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.559 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.566 * [exit]simplify: Simplified to (/ (sqrt k) (cbrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.566 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.566 * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # 1536826611.566 * [enter]simplify: Simplifying (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.567 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.571 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.576 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.582 * [exit]simplify: Simplified to (/ (sqrt k) (sqrt (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.582 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (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)))))))) 1536826611.583 * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # 1536826611.583 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.584 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.588 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.593 * * [misc]simplify: iters left: 4 (16 enodes) 1536826611.599 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.599 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ 1 1)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826611.599 * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # 1536826611.599 * [enter]simplify: Simplifying (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.600 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.604 * * [misc]simplify: iters left: 5 (13 enodes) 1536826611.608 * * [misc]simplify: iters left: 4 (16 enodes) 1536826611.614 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.614 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) 1) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826611.614 * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # 1536826611.615 * [enter]simplify: Simplifying (/ 1 (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.615 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.619 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.624 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.630 * [exit]simplify: Simplified to (/ 1 (pow (* 2 n) (- 1/2 (/ k 2)))) 1536826611.630 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (/ 1 (pow (* 2 n) (- 1/2 (/ k 2))))))) 1536826611.630 * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # 1536826611.630 * [enter]simplify: Simplifying (pow (* n 2) (/ k 2)) 1536826611.631 * * [misc]simplify: iters left: 3 (6 enodes) 1536826611.633 * * [misc]simplify: iters left: 2 (7 enodes) 1536826611.635 * [exit]simplify: Simplified to (pow (* n 2) (/ k 2)) 1536826611.635 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (* n 2) 1/2))) (pow (* n 2) (/ k 2))))) 1536826611.636 * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # 1536826611.636 * [enter]simplify: Simplifying (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1536826611.637 * * [misc]simplify: iters left: 6 (11 enodes) 1536826611.644 * * [misc]simplify: iters left: 5 (15 enodes) 1536826611.649 * * [misc]simplify: iters left: 4 (18 enodes) 1536826611.655 * [exit]simplify: Simplified to (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) 1536826611.655 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (cbrt (/ 1 (pow PI (- 1/2 (/ k 2)))))) (* (cbrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826611.655 * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # 1536826611.656 * [enter]simplify: Simplifying (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1536826611.656 * * [misc]simplify: iters left: 6 (10 enodes) 1536826611.660 * * [misc]simplify: iters left: 5 (14 enodes) 1536826611.665 * * [misc]simplify: iters left: 4 (17 enodes) 1536826611.671 * [exit]simplify: Simplified to (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) 1536826611.671 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (* (sqrt (/ 1 (pow PI (- 1/2 (/ k 2))))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826611.671 * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # 1536826611.671 * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # 1536826611.671 * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # 1536826611.672 * [enter]simplify: Simplifying (/ 1 (pow PI 1/2)) 1536826611.672 * * [misc]simplify: iters left: 3 (5 enodes) 1536826611.674 * * [misc]simplify: iters left: 2 (8 enodes) 1536826611.677 * [exit]simplify: Simplified to (/ 1 (sqrt PI)) 1536826611.677 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (* (/ 1 (sqrt PI)) (* (pow PI (/ k 2)) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))))))) 1536826611.677 * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # 1536826611.677 * [enter]simplify: Simplifying (pow (* n 2) (- 1/2 (/ k 2))) 1536826611.678 * * [misc]simplify: iters left: 5 (8 enodes) 1536826611.681 * * [misc]simplify: iters left: 4 (11 enodes) 1536826611.684 * * [misc]simplify: iters left: 3 (14 enodes) 1536826611.689 * [exit]simplify: Simplified to (pow (* n 2) (- 1/2 (/ k 2))) 1536826611.689 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (/ (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (sqrt k)) (pow (* n 2) (- 1/2 (/ k 2)))))) 1536826611.689 * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # 1536826611.690 * [enter]simplify: Simplifying (* 1 (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))) 1536826611.691 * * [misc]simplify: iters left: 6 (12 enodes) 1536826611.696 * * [misc]simplify: iters left: 5 (20 enodes) 1536826611.705 * * [misc]simplify: iters left: 4 (30 enodes) 1536826611.714 * * [misc]simplify: iters left: 3 (33 enodes) 1536826611.723 * * [misc]simplify: iters left: 2 (39 enodes) 1536826611.736 * * [misc]simplify: iters left: 1 (52 enodes) 1536826611.757 * [exit]simplify: Simplified to (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) 1536826611.757 * [misc]simplify: Simplified (2 2 1) to (λ (k n) (/ 1 (/ (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2)))) (pow PI (- 1/2 (/ k 2)))))) 1536826611.757 * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # 1536826611.757 * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # 1536826611.757 * [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)))) 1536826611.759 * * [misc]simplify: iters left: 6 (18 enodes) 1536826611.769 * * [misc]simplify: iters left: 5 (39 enodes) 1536826611.794 * * [misc]simplify: iters left: 4 (104 enodes) 1536826611.849 * * [misc]simplify: iters left: 3 (275 enodes) 1536826612.029 * [exit]simplify: Simplified to (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI))) 1536826612.029 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (+ (* (* (* k (log PI)) (* k (log PI))) (* (sqrt PI) 1/8)) (+ (* (* k (log PI)) (* (sqrt PI) -1/2)) (sqrt PI)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826612.030 * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # 1536826612.030 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1536826612.031 * * [misc]simplify: iters left: 5 (6 enodes) 1536826612.034 * * [misc]simplify: iters left: 4 (9 enodes) 1536826612.039 * * [misc]simplify: iters left: 3 (17 enodes) 1536826612.044 * * [misc]simplify: iters left: 2 (20 enodes) 1536826612.050 * * [misc]simplify: iters left: 1 (24 enodes) 1536826612.061 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1536826612.061 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826612.061 * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # 1536826612.062 * [enter]simplify: Simplifying (pow PI (- 1/2 (* 1/2 k))) 1536826612.063 * * [misc]simplify: iters left: 5 (6 enodes) 1536826612.065 * * [misc]simplify: iters left: 4 (9 enodes) 1536826612.070 * * [misc]simplify: iters left: 3 (17 enodes) 1536826612.075 * * [misc]simplify: iters left: 2 (20 enodes) 1536826612.081 * * [misc]simplify: iters left: 1 (24 enodes) 1536826612.093 * [exit]simplify: Simplified to (pow PI (- 1/2 (* k 1/2))) 1536826612.093 * [misc]simplify: Simplified (2 2 1 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (* k 1/2)))) (/ (sqrt k) (pow (* n 2) (- 1/2 (/ k 2))))))) 1536826612.093 * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # 1536826612.094 * [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))))) 1536826612.098 * * [misc]simplify: iters left: 6 (35 enodes) 1536826612.112 * * [misc]simplify: iters left: 5 (99 enodes) 1536826612.169 * * [misc]simplify: iters left: 4 (298 enodes) 1536826612.579 * [exit]simplify: Simplified to (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))) 1536826612.579 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (+ (- (* (pow n 1/2) (pow 2 1/2)) (* (* 1/2 k) (* (* (pow n 1/2) (pow 2 1/2)) (+ (log 2) (log n))))) (+ (* (* (log 2) 1/8) (* (* (pow n 1/2) (pow 2 1/2)) (* (* k k) (log 2)))) (* (* (pow n 1/2) (pow 2 1/2)) (+ (* (* 1/4 (log 2)) (* (* k k) (log n))) (* (* 1/8 (log n)) (* (* k k) (log n))))))))))) 1536826612.579 * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # 1536826612.580 * [enter]simplify: Simplifying (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) 1536826612.581 * * [misc]simplify: iters left: 6 (13 enodes) 1536826612.589 * * [misc]simplify: iters left: 5 (27 enodes) 1536826612.602 * * [misc]simplify: iters left: 4 (53 enodes) 1536826612.630 * * [misc]simplify: iters left: 3 (116 enodes) 1536826612.731 * * [misc]simplify: iters left: 2 (362 enodes) 1536826613.025 * [exit]simplify: Simplified to (pow (sqrt (* n 2)) (- 1 k)) 1536826613.025 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (sqrt (* n 2)) (- 1 k)))))) 1536826613.025 * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # 1536826613.026 * [enter]simplify: Simplifying (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) 1536826613.027 * * [misc]simplify: iters left: 6 (13 enodes) 1536826613.033 * * [misc]simplify: iters left: 5 (24 enodes) 1536826613.048 * * [misc]simplify: iters left: 4 (54 enodes) 1536826613.073 * * [misc]simplify: iters left: 3 (143 enodes) 1536826613.245 * [exit]simplify: Simplified to (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))) 1536826613.245 * [misc]simplify: Simplified (2 2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) (/ (sqrt k) (pow (exp (- 1/2 (* 1/2 k))) (- (log -2) (log (/ -1 n)))))))) 1536826613.245 * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # 1536826613.246 * [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)))))))))))) 1536826613.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536826613.246 * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # 1536826613.246 * [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))))))))))) 1536826613.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536826613.246 * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # 1536826613.246 * [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))))))))) 1536826613.246 * [misc]simplify: Simplified (2 2 2) to (λ (k n) (/ 1 (* (/ 1 (pow PI (- 1/2 (/ k 2)))) +nan.0))) 1536826613.247 * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # 1536826613.247 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ k (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log n) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* (log PI) (pow k 2)) (* (sqrt 2) PI))) (- (+ (* +nan.0 (/ (* n k) (* (sqrt 2) (pow PI 2)))) (- (+ (* +nan.0 (/ (pow k 2) (* (sqrt 2) PI))) (- (* +nan.0 (/ (* (log 2) (pow k 2)) (* (sqrt 2) PI)))))))))))))) 1536826613.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826613.247 * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # 1536826613.247 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) k)))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k))))))) (- (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- (log 2) (log (/ 1 n))) (- 1/2 (* 1/2 k)))) (pow k 2)))))))))) 1536826613.247 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826613.247 * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # 1536826613.248 * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (exp (* (- 1/2 (* 1/2 k)) (- (log -2) (log (/ -1 n))))) (pow k 2))))) (- (+ (* +nan.0 (/ 1 (* (pow PI (- 1/2 (* 1/2 k))) (* (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))))) (pow PI (- 1/2 (* 1/2 k))))))))))) 1536826613.248 * [misc]simplify: Simplified (2 2) to (λ (k n) (/ 1 +nan.0)) 1536826613.248 * * * [misc]progress: adding candidates to table 1536826616.917 * [misc]progress: [Phase 3 of 3] Extracting. 1536826616.917 * * [misc]regime: Finding splitpoints for: (# # # # # # # # # # #) 1536826616.931 * * * [misc]regime-changes: Trying 2 branch expressions: (n k) 1536826616.931 * * * * [misc]regimes: Trying to branch on n from (# # # # # # # # # # #) 1536826617.108 * * * * [misc]regimes: Trying to branch on k from (# # # # # # # # # # #) 1536826617.308 * * * [misc]regime: Found split indices: #